%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW654_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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 1 00:51:01 EDT 2023 % Result : Theorem 28.00s 4.52s % Output : Proof 34.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWW654_2 : TPTP v8.1.2. Released v6.1.0. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Aug 27 21:48:23 EDT 2023 % 0.12/0.33 % CPUTime : % 0.18/0.61 ________ _____ % 0.18/0.61 ___ __ \_________(_)________________________________ % 0.18/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.61 % 0.18/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.61 (2023-06-19) % 0.18/0.61 % 0.18/0.61 (c) Philipp Rümmer, 2009-2023 % 0.18/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.61 Amanda Stjerna. % 0.18/0.61 Free software under BSD-3-Clause. % 0.18/0.61 % 0.18/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.61 % 0.18/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.62 Running up to 7 provers in parallel. % 0.18/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.20/1.37 Prover 1: Preprocessing ... % 4.20/1.37 Prover 3: Preprocessing ... % 4.20/1.37 Prover 5: Preprocessing ... % 4.20/1.37 Prover 2: Preprocessing ... % 4.20/1.37 Prover 4: Preprocessing ... % 4.20/1.37 Prover 6: Preprocessing ... % 4.20/1.37 Prover 0: Preprocessing ... % 9.86/2.15 Prover 4: Warning: ignoring some quantifiers % 9.86/2.17 Prover 1: Warning: ignoring some quantifiers % 9.86/2.19 Prover 5: Proving ... % 10.44/2.23 Prover 1: Constructing countermodel ... % 10.44/2.24 Prover 3: Warning: ignoring some quantifiers % 10.44/2.25 Prover 6: Proving ... % 10.44/2.25 Prover 4: Constructing countermodel ... % 11.06/2.28 Prover 3: Constructing countermodel ... % 11.06/2.31 Prover 2: Proving ... % 11.06/2.33 Prover 0: Proving ... % 28.00/4.52 Prover 0: proved (3887ms) % 28.00/4.52 % 28.00/4.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 28.00/4.52 % 28.00/4.52 Prover 3: stopped % 28.00/4.53 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 28.00/4.53 Prover 6: stopped % 28.00/4.53 Prover 2: stopped % 28.00/4.53 Prover 5: stopped % 28.00/4.53 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 28.00/4.53 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 28.00/4.53 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 28.00/4.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 28.65/4.66 Prover 8: Preprocessing ... % 28.65/4.66 Prover 10: Preprocessing ... % 28.65/4.67 Prover 13: Preprocessing ... % 28.65/4.68 Prover 11: Preprocessing ... % 28.65/4.69 Prover 7: Preprocessing ... % 30.41/4.88 Prover 13: Warning: ignoring some quantifiers % 30.41/4.88 Prover 7: Warning: ignoring some quantifiers % 30.41/4.89 Prover 10: Warning: ignoring some quantifiers % 30.41/4.89 Prover 8: Warning: ignoring some quantifiers % 30.41/4.90 Prover 7: Constructing countermodel ... % 30.41/4.90 Prover 10: Constructing countermodel ... % 30.41/4.90 Prover 13: Constructing countermodel ... % 31.04/4.91 Prover 8: Constructing countermodel ... % 31.04/4.93 Prover 11: Warning: ignoring some quantifiers % 31.04/4.95 Prover 11: Constructing countermodel ... % 32.45/5.10 Prover 4: Found proof (size 1058) % 32.45/5.10 Prover 4: proved (4469ms) % 32.45/5.10 Prover 10: stopped % 32.45/5.10 Prover 7: stopped % 32.45/5.10 Prover 8: stopped % 32.45/5.10 Prover 11: stopped % 32.45/5.10 Prover 13: stopped % 32.45/5.11 Prover 1: stopped % 32.45/5.11 % 32.45/5.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 32.45/5.11 % 32.68/5.26 % SZS output start Proof for theBenchmark % 33.13/5.27 Assumptions after simplification: % 33.13/5.27 --------------------------------- % 33.13/5.27 % 33.13/5.27 (bst_def) % 33.13/5.28 bst1(leaf1) = 0 & tree1(leaf1) & ! [v0: color1] : ! [v1: tree1] : ! [v2: % 33.13/5.28 int] : ! [v3: int] : ! [v4: tree1] : ! [v5: tree1] : ( ~ (node1(v0, v1, % 33.13/5.28 v2, v3, v4) = v5) | ~ tree1(v4) | ~ tree1(v1) | ~ color1(v0) | ? % 33.13/5.28 [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : % 33.13/5.28 (bst1(v5) = v10 & bst1(v4) = v7 & bst1(v1) = v6 & gt_tree1(v2, v4) = v9 & % 33.13/5.28 lt_tree1(v2, v1) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 % 33.13/5.28 = 0) | v10 = 0))) & ! [v0: color1] : ! [v1: tree1] : ! [v2: int] : % 33.13/5.28 ! [v3: int] : ! [v4: tree1] : ! [v5: tree1] : ( ~ (node1(v0, v1, v2, v3, v4) % 33.13/5.28 = v5) | ~ tree1(v4) | ~ tree1(v1) | ~ color1(v0) | ? [v6: any] : ? % 33.13/5.28 [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : (bst1(v5) = v6 & % 33.13/5.28 bst1(v4) = v8 & bst1(v1) = v7 & gt_tree1(v2, v4) = v10 & lt_tree1(v2, v1) % 33.13/5.28 = v9 & ( ~ (v6 = 0) | (v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0)))) % 33.13/5.28 % 33.13/5.28 (bst_left) % 33.13/5.29 ! [v0: int] : ! [v1: int] : ! [v2: tree1] : ! [v3: tree1] : ! [v4: % 33.13/5.29 color1] : ! [v5: tree1] : ( ~ (node1(v4, v2, v0, v1, v3) = v5) | ~ % 33.13/5.29 tree1(v3) | ~ tree1(v2) | ~ color1(v4) | ? [v6: any] : ? [v7: any] : % 33.13/5.29 (bst1(v5) = v6 & bst1(v2) = v7 & ( ~ (v6 = 0) | v7 = 0))) % 33.13/5.29 % 33.13/5.29 (bst_right) % 33.13/5.29 ! [v0: int] : ! [v1: int] : ! [v2: tree1] : ! [v3: tree1] : ! [v4: % 33.13/5.29 color1] : ! [v5: tree1] : ( ~ (node1(v4, v2, v0, v1, v3) = v5) | ~ % 33.13/5.29 tree1(v3) | ~ tree1(v2) | ~ color1(v4) | ? [v6: any] : ? [v7: any] : % 33.13/5.29 (bst1(v5) = v6 & bst1(v3) = v7 & ( ~ (v6 = 0) | v7 = 0))) % 33.13/5.29 % 33.13/5.29 (gt_leaf) % 33.13/5.29 tree1(leaf1) & ! [v0: int] : ! [v1: int] : (v1 = 0 | ~ (gt_tree1(v0, leaf1) % 33.13/5.29 = v1)) % 33.13/5.29 % 33.13/5.29 (gt_left) % 33.13/5.29 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.29 ! [v5: color1] : ! [v6: tree1] : ( ~ (gt_tree1(v0, v6) = 0) | ~ (node1(v5, % 33.13/5.29 v3, v1, v2, v4) = v6) | ~ tree1(v4) | ~ tree1(v3) | ~ color1(v5) | % 33.13/5.29 gt_tree1(v0, v3) = 0) % 33.13/5.29 % 33.13/5.29 (gt_node_gt) % 33.13/5.29 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.29 ! [v5: color1] : ! [v6: tree1] : ( ~ ($lesseq(v1, v0)) | ~ (gt_tree1(v0, % 33.13/5.29 v6) = 0) | ~ (node1(v5, v3, v1, v2, v4) = v6) | ~ tree1(v4) | ~ % 33.13/5.29 tree1(v3) | ~ color1(v5)) % 33.13/5.29 % 33.13/5.29 (gt_right) % 33.13/5.29 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.29 ! [v5: color1] : ! [v6: tree1] : ( ~ (gt_tree1(v0, v6) = 0) | ~ (node1(v5, % 33.13/5.29 v3, v1, v2, v4) = v6) | ~ tree1(v4) | ~ tree1(v3) | ~ color1(v5) | % 33.13/5.29 gt_tree1(v0, v4) = 0) % 33.13/5.29 % 33.13/5.29 (gt_tree_def) % 33.13/5.29 ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v2, % 33.13/5.29 v0)) | ~ (gt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) = 0) | ~ % 33.13/5.29 tree1(v1)) & ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ % 33.13/5.29 (gt_tree1(v0, v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] : % 33.13/5.29 ($lesseq(v3, v0) & memt1(v1, v3, v4) = 0)) % 33.13/5.29 % 33.13/5.29 (gt_tree_node) % 33.13/5.29 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.29 ! [v5: color1] : ! [v6: tree1] : ! [v7: int] : (v7 = 0 | ~ ($lesseq(1, % 33.13/5.29 $difference(v1, v0))) | ~ (gt_tree1(v0, v6) = v7) | ~ (node1(v5, v3, % 33.13/5.29 v1, v2, v4) = v6) | ~ tree1(v4) | ~ tree1(v3) | ~ color1(v5) | ? % 33.13/5.29 [v8: any] : ? [v9: any] : (gt_tree1(v0, v4) = v9 & gt_tree1(v0, v3) = v8 & % 33.13/5.29 ( ~ (v9 = 0) | ~ (v8 = 0)))) % 33.13/5.29 % 33.13/5.29 (lt_left) % 33.13/5.30 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.30 ! [v5: color1] : ! [v6: tree1] : ( ~ (lt_tree1(v0, v6) = 0) | ~ (node1(v5, % 33.13/5.30 v3, v1, v2, v4) = v6) | ~ tree1(v4) | ~ tree1(v3) | ~ color1(v5) | % 33.13/5.30 lt_tree1(v0, v3) = 0) % 33.13/5.30 % 33.13/5.30 (lt_node_lt) % 33.13/5.30 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.30 ! [v5: color1] : ! [v6: tree1] : ( ~ ($lesseq(v0, v1)) | ~ (lt_tree1(v0, % 33.13/5.30 v6) = 0) | ~ (node1(v5, v3, v1, v2, v4) = v6) | ~ tree1(v4) | ~ % 33.13/5.30 tree1(v3) | ~ color1(v5)) % 33.13/5.30 % 33.13/5.30 (lt_right) % 33.13/5.30 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.30 ! [v5: color1] : ! [v6: tree1] : ( ~ (lt_tree1(v0, v6) = 0) | ~ (node1(v5, % 33.13/5.30 v3, v1, v2, v4) = v6) | ~ tree1(v4) | ~ tree1(v3) | ~ color1(v5) | % 33.13/5.30 lt_tree1(v0, v4) = 0) % 33.13/5.30 % 33.13/5.30 (lt_tree_def) % 33.13/5.30 ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v0, % 33.13/5.30 v2)) | ~ (lt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) = 0) | ~ % 33.13/5.30 tree1(v1)) & ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ % 33.13/5.30 (lt_tree1(v0, v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] : % 33.13/5.30 ($lesseq(v0, v3) & memt1(v1, v3, v4) = 0)) % 33.13/5.30 % 33.13/5.30 (lt_tree_node) % 33.13/5.30 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: tree1] : ! [v4: tree1] : % 33.13/5.30 ! [v5: color1] : ! [v6: tree1] : ! [v7: int] : (v7 = 0 | ~ ($lesseq(1, % 33.13/5.30 $difference(v0, v1))) | ~ (lt_tree1(v0, v6) = v7) | ~ (node1(v5, v3, % 33.13/5.30 v1, v2, v4) = v6) | ~ tree1(v4) | ~ tree1(v3) | ~ color1(v5) | ? % 33.13/5.30 [v8: any] : ? [v9: any] : (lt_tree1(v0, v4) = v9 & lt_tree1(v0, v3) = v8 & % 33.13/5.30 ( ~ (v9 = 0) | ~ (v8 = 0)))) % 33.13/5.30 % 33.13/5.30 (wP_parameter_lbalance) % 33.13/5.30 tree1(leaf1) & color1(black1) & color1(red1) & ? [v0: tree1] : ? [v1: int] : % 33.13/5.30 ? [v2: int] : ? [v3: tree1] : ? [v4: color1] : ? [v5: tree1] : ? [v6: % 33.13/5.30 int] : ? [v7: int] : ? [v8: tree1] : ? [v9: tree1] : ? [v10: color1] : % 33.13/5.30 ? [v11: tree1] : ? [v12: int] : ? [v13: int] : ? [v14: tree1] : ? [v15: % 33.13/5.30 tree1] : ? [v16: tree1] : ? [v17: tree1] : ? [v18: tree1] : ? [v19: any] % 33.13/5.30 : ? [v20: color1] : ? [v21: tree1] : ? [v22: int] : ? [v23: int] : ? % 33.13/5.30 [v24: tree1] : ? [v25: tree1] : ? [v26: tree1] : ? [v27: tree1] : ? [v28: % 33.13/5.30 int] : ? [v29: color1] : ? [v30: tree1] : ? [v31: int] : ? [v32: int] : % 33.13/5.30 ? [v33: tree1] : ? [v34: tree1] : ? [v35: tree1] : ? [v36: tree1] : ? % 33.13/5.31 [v37: any] : ? [v38: color1] : ? [v39: tree1] : ? [v40: int] : ? [v41: % 33.13/5.31 int] : ? [v42: tree1] : ? [v43: tree1] : ? [v44: tree1] : ? [v45: tree1] % 33.13/5.31 : ? [v46: int] : (bst1(v3) = 0 & bst1(v0) = 0 & gt_tree1(v1, v3) = 0 & % 33.13/5.31 lt_tree1(v1, v0) = 0 & node1(v4, v5, v6, v7, v8) = v0 & node1(black1, v8, % 33.13/5.31 v1, v2, v3) = v9 & tree1(v42) & tree1(v39) & tree1(v33) & tree1(v30) & % 33.13/5.31 tree1(v24) & tree1(v21) & tree1(v14) & tree1(v11) & tree1(v9) & tree1(v8) & % 33.13/5.31 tree1(v5) & tree1(v3) & tree1(v0) & color1(v38) & color1(v29) & color1(v20) % 33.13/5.31 & color1(v10) & color1(v4) & ((v43 = v5 & v38 = red1 & v8 = leaf1 & v4 = % 33.13/5.31 red1 & ~ (v46 = 0) & bst1(v45) = v46 & node1(black1, v39, v40, v41, % 33.13/5.31 v42) = v44 & node1(red1, v44, v6, v7, v9) = v45 & node1(red1, v39, % 33.13/5.31 v40, v41, v42) = v5 & tree1(v45) & tree1(v44)) | (v15 = v8 & bst1(v18) % 33.13/5.31 = v19 & node1(v10, v11, v12, v13, v14) = v8 & node1(black1, v14, v1, v2, % 33.13/5.31 v3) = v17 & node1(black1, v5, v6, v7, v11) = v16 & node1(red1, v16, % 33.13/5.31 v12, v13, v17) = v18 & tree1(v18) & tree1(v17) & tree1(v16) & ((v25 = % 33.13/5.31 v5 & v20 = red1 & v10 = black1 & v4 = red1 & ~ (v28 = 0) & % 33.13/5.31 bst1(v27) = v28 & node1(black1, v21, v22, v23, v24) = v26 & % 33.13/5.31 node1(red1, v26, v6, v7, v9) = v27 & node1(red1, v21, v22, v23, v24) % 33.13/5.31 = v5 & tree1(v27) & tree1(v26)) | (v10 = red1 & ((v34 = v5 & v4 = % 33.13/5.31 red1 & bst1(v36) = v37 & node1(v29, v30, v31, v32, v33) = v5 & % 33.13/5.31 node1(black1, v30, v31, v32, v33) = v35 & node1(red1, v35, v6, % 33.13/5.31 v7, v9) = v36 & tree1(v36) & tree1(v35) & ((v29 = black1 & ~ % 33.13/5.31 (v19 = 0)) | (v29 = red1 & ~ (v37 = 0)))) | (v5 = leaf1 & % 33.13/5.31 v4 = red1 & ~ (v19 = 0)))))))) % 33.13/5.31 % 33.13/5.31 (function-axioms) % 33.13/5.31 ! [v0: tree1] : ! [v1: tree1] : ! [v2: tree1] : ! [v3: int] : ! [v4: int] % 33.13/5.31 : ! [v5: tree1] : ! [v6: color1] : (v1 = v0 | ~ (node1(v6, v5, v4, v3, v2) % 33.13/5.31 = v1) | ~ (node1(v6, v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] % 33.13/5.31 : ! [v2: uni] : ! [v3: uni] : ! [v4: tree1] : ! [v5: ty] : (v1 = v0 | ~ % 33.13/5.31 (match_tree1(v5, v4, v3, v2) = v1) | ~ (match_tree1(v5, v4, v3, v2) = v0)) % 33.13/5.31 & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: color1] % 33.13/5.31 : ! [v5: ty] : (v1 = v0 | ~ (match_color1(v5, v4, v3, v2) = v1) | ~ % 33.13/5.31 (match_color1(v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: % 33.13/5.31 uni] : ! [v3: uni] : ! [v4: bool1] : ! [v5: ty] : (v1 = v0 | ~ % 33.13/5.31 (match_bool1(v5, v4, v3, v2) = v1) | ~ (match_bool1(v5, v4, v3, v2) = v0)) % 33.13/5.31 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int] : ! % 33.13/5.31 [v3: int] : ! [v4: tree1] : (v1 = v0 | ~ (memt1(v4, v3, v2) = v1) | ~ % 33.13/5.31 (memt1(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.13/5.31 MultipleValueBool] : ! [v2: tree1] : ! [v3: int] : (v1 = v0 | ~ % 33.13/5.31 (almost_rbtree1(v3, v2) = v1) | ~ (almost_rbtree1(v3, v2) = v0)) & ! [v0: % 33.13/5.31 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: tree1] : ! [v3: % 33.13/5.31 int] : (v1 = v0 | ~ (rbtree1(v3, v2) = v1) | ~ (rbtree1(v3, v2) = v0)) & % 33.13/5.31 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: tree1] : ! % 33.13/5.31 [v3: int] : (v1 = v0 | ~ (gt_tree1(v3, v2) = v1) | ~ (gt_tree1(v3, v2) = % 33.13/5.31 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 33.13/5.31 tree1] : ! [v3: int] : (v1 = v0 | ~ (lt_tree1(v3, v2) = v1) | ~ % 33.13/5.31 (lt_tree1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.13/5.31 MultipleValueBool] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ (sort1(v3, % 33.13/5.31 v2) = v1) | ~ (sort1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 33.13/5.31 [v1: MultipleValueBool] : ! [v2: tree1] : (v1 = v0 | ~ (is_not_red1(v2) = % 33.13/5.31 v1) | ~ (is_not_red1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.13/5.31 MultipleValueBool] : ! [v2: tree1] : (v1 = v0 | ~ (bst1(v2) = v1) | ~ % 33.13/5.31 (bst1(v2) = v0)) & ! [v0: tree1] : ! [v1: tree1] : ! [v2: tree1] : (v1 = % 33.13/5.31 v0 | ~ (node_proj_51(v2) = v1) | ~ (node_proj_51(v2) = v0)) & ! [v0: int] % 33.13/5.31 : ! [v1: int] : ! [v2: tree1] : (v1 = v0 | ~ (node_proj_41(v2) = v1) | ~ % 33.13/5.31 (node_proj_41(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: tree1] : % 33.13/5.31 (v1 = v0 | ~ (node_proj_31(v2) = v1) | ~ (node_proj_31(v2) = v0)) & ! [v0: % 33.13/5.31 tree1] : ! [v1: tree1] : ! [v2: tree1] : (v1 = v0 | ~ (node_proj_21(v2) = % 33.13/5.31 v1) | ~ (node_proj_21(v2) = v0)) & ! [v0: color1] : ! [v1: color1] : ! % 33.13/5.31 [v2: tree1] : (v1 = v0 | ~ (node_proj_11(v2) = v1) | ~ (node_proj_11(v2) = % 33.13/5.31 v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: ty] : (v1 = v0 | ~ % 33.13/5.31 (witness1(v2) = v1) | ~ (witness1(v2) = v0)) % 33.13/5.31 % 33.13/5.31 Further assumptions not needed in the proof: % 33.13/5.31 -------------------------------------------- % 33.13/5.31 almost_rbtree_def, almost_rbtree_rbtree_black, bool_inversion, bst_Leaf, % 33.13/5.31 bst_color, color_inversion, compatOrderMult, gt_tree_not_in, gt_tree_trans, % 33.13/5.31 is_not_red_def, leaf_Node, lt_leaf, lt_tree_not_in, lt_tree_trans, % 33.13/5.31 match_bool_False, match_bool_True, match_bool_sort1, match_color_Black, % 33.13/5.31 match_color_Red, match_color_sort1, match_tree_Leaf, match_tree_Node, % 33.13/5.31 match_tree_sort1, memt_color, memt_def, node_proj_1_def, node_proj_2_def, % 33.13/5.31 node_proj_3_def, node_proj_4_def, node_proj_5_def, rbtree_Leaf, rbtree_Node1, % 33.13/5.31 rbtree_almost_rbtree, rbtree_almost_rbtree_ex, rbtree_def, rbtree_left, % 33.13/5.31 rbtree_right, red_Black, rotate_left, rotate_right, tree_inversion, true_False, % 33.13/5.31 tuple0_inversion, witness_sort1 % 33.13/5.31 % 33.13/5.31 Those formulas are unsatisfiable: % 33.13/5.31 --------------------------------- % 33.13/5.31 % 33.13/5.31 Begin of proof % 33.13/5.31 | % 33.13/5.31 | ALPHA: (lt_tree_def) implies: % 33.13/5.31 | (1) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ % 33.13/5.31 | (lt_tree1(v0, v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] % 33.13/5.31 | : ($lesseq(v0, v3) & memt1(v1, v3, v4) = 0)) % 33.13/5.32 | (2) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ % 33.13/5.32 | ($lesseq(v0, v2)) | ~ (lt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) % 33.13/5.32 | = 0) | ~ tree1(v1)) % 33.13/5.32 | % 33.13/5.32 | ALPHA: (gt_tree_def) implies: % 33.13/5.32 | (3) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ % 33.13/5.32 | (gt_tree1(v0, v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] % 33.13/5.32 | : ($lesseq(v3, v0) & memt1(v1, v3, v4) = 0)) % 33.13/5.32 | (4) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ % 33.13/5.32 | ($lesseq(v2, v0)) | ~ (gt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) % 33.13/5.32 | = 0) | ~ tree1(v1)) % 33.13/5.32 | % 33.13/5.32 | ALPHA: (gt_leaf) implies: % 33.13/5.32 | (5) ! [v0: int] : ! [v1: int] : (v1 = 0 | ~ (gt_tree1(v0, leaf1) = v1)) % 33.13/5.32 | % 33.13/5.32 | ALPHA: (bst_def) implies: % 33.13/5.32 | (6) ! [v0: color1] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ! % 33.13/5.32 | [v4: tree1] : ! [v5: tree1] : ( ~ (node1(v0, v1, v2, v3, v4) = v5) | % 33.13/5.32 | ~ tree1(v4) | ~ tree1(v1) | ~ color1(v0) | ? [v6: any] : ? [v7: % 33.13/5.32 | any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : (bst1(v5) = v6 % 33.13/5.32 | & bst1(v4) = v8 & bst1(v1) = v7 & gt_tree1(v2, v4) = v10 & % 33.13/5.32 | lt_tree1(v2, v1) = v9 & ( ~ (v6 = 0) | (v10 = 0 & v9 = 0 & v8 = 0 & % 33.13/5.32 | v7 = 0)))) % 33.13/5.32 | (7) ! [v0: color1] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ! % 33.13/5.32 | [v4: tree1] : ! [v5: tree1] : ( ~ (node1(v0, v1, v2, v3, v4) = v5) | % 33.13/5.32 | ~ tree1(v4) | ~ tree1(v1) | ~ color1(v0) | ? [v6: any] : ? [v7: % 33.13/5.32 | any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : (bst1(v5) = % 33.13/5.32 | v10 & bst1(v4) = v7 & bst1(v1) = v6 & gt_tree1(v2, v4) = v9 & % 33.13/5.32 | lt_tree1(v2, v1) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | % 33.13/5.32 | ~ (v6 = 0) | v10 = 0))) % 33.13/5.32 | % 33.13/5.32 | ALPHA: (wP_parameter_lbalance) implies: % 33.13/5.32 | (8) color1(red1) % 33.13/5.32 | (9) color1(black1) % 33.13/5.32 | (10) ? [v0: tree1] : ? [v1: int] : ? [v2: int] : ? [v3: tree1] : ? % 33.13/5.32 | [v4: color1] : ? [v5: tree1] : ? [v6: int] : ? [v7: int] : ? [v8: % 33.13/5.32 | tree1] : ? [v9: tree1] : ? [v10: color1] : ? [v11: tree1] : ? % 33.13/5.32 | [v12: int] : ? [v13: int] : ? [v14: tree1] : ? [v15: tree1] : ? % 33.13/5.32 | [v16: tree1] : ? [v17: tree1] : ? [v18: tree1] : ? [v19: any] : ? % 33.13/5.32 | [v20: color1] : ? [v21: tree1] : ? [v22: int] : ? [v23: int] : ? % 33.13/5.32 | [v24: tree1] : ? [v25: tree1] : ? [v26: tree1] : ? [v27: tree1] : % 33.13/5.32 | ? [v28: int] : ? [v29: color1] : ? [v30: tree1] : ? [v31: int] : ? % 33.13/5.32 | [v32: int] : ? [v33: tree1] : ? [v34: tree1] : ? [v35: tree1] : ? % 33.13/5.32 | [v36: tree1] : ? [v37: any] : ? [v38: color1] : ? [v39: tree1] : ? % 33.13/5.32 | [v40: int] : ? [v41: int] : ? [v42: tree1] : ? [v43: tree1] : ? % 33.13/5.32 | [v44: tree1] : ? [v45: tree1] : ? [v46: int] : (bst1(v3) = 0 & % 33.13/5.32 | bst1(v0) = 0 & gt_tree1(v1, v3) = 0 & lt_tree1(v1, v0) = 0 & % 33.13/5.32 | node1(v4, v5, v6, v7, v8) = v0 & node1(black1, v8, v1, v2, v3) = v9 % 33.13/5.32 | & tree1(v42) & tree1(v39) & tree1(v33) & tree1(v30) & tree1(v24) & % 33.13/5.32 | tree1(v21) & tree1(v14) & tree1(v11) & tree1(v9) & tree1(v8) & % 33.13/5.32 | tree1(v5) & tree1(v3) & tree1(v0) & color1(v38) & color1(v29) & % 33.13/5.32 | color1(v20) & color1(v10) & color1(v4) & ((v43 = v5 & v38 = red1 & % 33.13/5.32 | v8 = leaf1 & v4 = red1 & ~ (v46 = 0) & bst1(v45) = v46 & % 33.13/5.32 | node1(black1, v39, v40, v41, v42) = v44 & node1(red1, v44, v6, % 33.13/5.32 | v7, v9) = v45 & node1(red1, v39, v40, v41, v42) = v5 & % 33.13/5.32 | tree1(v45) & tree1(v44)) | (v15 = v8 & bst1(v18) = v19 & % 33.13/5.32 | node1(v10, v11, v12, v13, v14) = v8 & node1(black1, v14, v1, v2, % 33.13/5.32 | v3) = v17 & node1(black1, v5, v6, v7, v11) = v16 & node1(red1, % 33.13/5.32 | v16, v12, v13, v17) = v18 & tree1(v18) & tree1(v17) & % 33.13/5.32 | tree1(v16) & ((v25 = v5 & v20 = red1 & v10 = black1 & v4 = red1 % 33.13/5.32 | & ~ (v28 = 0) & bst1(v27) = v28 & node1(black1, v21, v22, % 33.13/5.32 | v23, v24) = v26 & node1(red1, v26, v6, v7, v9) = v27 & % 33.13/5.32 | node1(red1, v21, v22, v23, v24) = v5 & tree1(v27) & % 33.13/5.32 | tree1(v26)) | (v10 = red1 & ((v34 = v5 & v4 = red1 & % 33.13/5.32 | bst1(v36) = v37 & node1(v29, v30, v31, v32, v33) = v5 & % 33.13/5.32 | node1(black1, v30, v31, v32, v33) = v35 & node1(red1, % 33.13/5.32 | v35, v6, v7, v9) = v36 & tree1(v36) & tree1(v35) & % 33.13/5.32 | ((v29 = black1 & ~ (v19 = 0)) | (v29 = red1 & ~ (v37 = % 33.13/5.32 | 0)))) | (v5 = leaf1 & v4 = red1 & ~ (v19 = % 33.13/5.32 | 0)))))))) % 33.13/5.32 | % 33.13/5.32 | ALPHA: (function-axioms) implies: % 33.13/5.32 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 33.13/5.32 | tree1] : (v1 = v0 | ~ (bst1(v2) = v1) | ~ (bst1(v2) = v0)) % 33.13/5.33 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 33.13/5.33 | tree1] : ! [v3: int] : (v1 = v0 | ~ (lt_tree1(v3, v2) = v1) | ~ % 33.13/5.33 | (lt_tree1(v3, v2) = v0)) % 33.13/5.33 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 33.13/5.33 | tree1] : ! [v3: int] : (v1 = v0 | ~ (gt_tree1(v3, v2) = v1) | ~ % 33.13/5.33 | (gt_tree1(v3, v2) = v0)) % 33.13/5.33 | % 33.13/5.33 | DELTA: instantiating (10) with fresh symbols all_76_0, all_76_1, all_76_2, % 33.13/5.33 | all_76_3, all_76_4, all_76_5, all_76_6, all_76_7, all_76_8, all_76_9, % 33.13/5.33 | all_76_10, all_76_11, all_76_12, all_76_13, all_76_14, all_76_15, % 33.13/5.33 | all_76_16, all_76_17, all_76_18, all_76_19, all_76_20, all_76_21, % 33.13/5.33 | all_76_22, all_76_23, all_76_24, all_76_25, all_76_26, all_76_27, % 33.13/5.33 | all_76_28, all_76_29, all_76_30, all_76_31, all_76_32, all_76_33, % 33.13/5.33 | all_76_34, all_76_35, all_76_36, all_76_37, all_76_38, all_76_39, % 33.13/5.33 | all_76_40, all_76_41, all_76_42, all_76_43, all_76_44, all_76_45, % 33.13/5.33 | all_76_46 gives: % 33.13/5.33 | (14) bst1(all_76_43) = 0 & bst1(all_76_46) = 0 & gt_tree1(all_76_45, % 33.13/5.33 | all_76_43) = 0 & lt_tree1(all_76_45, all_76_46) = 0 & % 33.13/5.33 | node1(all_76_42, all_76_41, all_76_40, all_76_39, all_76_38) = % 33.13/5.33 | all_76_46 & node1(black1, all_76_38, all_76_45, all_76_44, all_76_43) % 33.13/5.33 | = all_76_37 & tree1(all_76_4) & tree1(all_76_7) & tree1(all_76_13) & % 33.13/5.33 | tree1(all_76_16) & tree1(all_76_22) & tree1(all_76_25) & % 33.13/5.33 | tree1(all_76_32) & tree1(all_76_35) & tree1(all_76_37) & % 33.13/5.33 | tree1(all_76_38) & tree1(all_76_41) & tree1(all_76_43) & % 33.13/5.33 | tree1(all_76_46) & color1(all_76_8) & color1(all_76_17) & % 33.13/5.33 | color1(all_76_26) & color1(all_76_36) & color1(all_76_42) & ((all_76_3 % 33.13/5.33 | = all_76_41 & all_76_8 = red1 & all_76_38 = leaf1 & all_76_42 = % 33.13/5.33 | red1 & ~ (all_76_0 = 0) & bst1(all_76_1) = all_76_0 & % 33.13/5.33 | node1(black1, all_76_7, all_76_6, all_76_5, all_76_4) = all_76_2 & % 33.13/5.33 | node1(red1, all_76_2, all_76_40, all_76_39, all_76_37) = all_76_1 % 33.13/5.33 | & node1(red1, all_76_7, all_76_6, all_76_5, all_76_4) = all_76_41 % 33.13/5.33 | & tree1(all_76_1) & tree1(all_76_2)) | (all_76_31 = all_76_38 & % 33.13/5.33 | bst1(all_76_28) = all_76_27 & node1(all_76_36, all_76_35, % 33.13/5.33 | all_76_34, all_76_33, all_76_32) = all_76_38 & node1(black1, % 33.13/5.33 | all_76_32, all_76_45, all_76_44, all_76_43) = all_76_29 & % 33.13/5.33 | node1(black1, all_76_41, all_76_40, all_76_39, all_76_35) = % 33.13/5.33 | all_76_30 & node1(red1, all_76_30, all_76_34, all_76_33, % 33.13/5.33 | all_76_29) = all_76_28 & tree1(all_76_28) & tree1(all_76_29) & % 33.13/5.33 | tree1(all_76_30) & ((all_76_21 = all_76_41 & all_76_26 = red1 & % 33.13/5.33 | all_76_36 = black1 & all_76_42 = red1 & ~ (all_76_18 = 0) & % 33.13/5.33 | bst1(all_76_19) = all_76_18 & node1(black1, all_76_25, % 33.13/5.33 | all_76_24, all_76_23, all_76_22) = all_76_20 & node1(red1, % 33.13/5.33 | all_76_20, all_76_40, all_76_39, all_76_37) = all_76_19 & % 33.13/5.33 | node1(red1, all_76_25, all_76_24, all_76_23, all_76_22) = % 33.13/5.33 | all_76_41 & tree1(all_76_19) & tree1(all_76_20)) | (all_76_36 % 33.13/5.33 | = red1 & ((all_76_12 = all_76_41 & all_76_42 = red1 & % 33.13/5.33 | bst1(all_76_10) = all_76_9 & node1(all_76_17, all_76_16, % 33.13/5.33 | all_76_15, all_76_14, all_76_13) = all_76_41 & % 33.13/5.33 | node1(black1, all_76_16, all_76_15, all_76_14, all_76_13) % 33.13/5.33 | = all_76_11 & node1(red1, all_76_11, all_76_40, all_76_39, % 33.13/5.33 | all_76_37) = all_76_10 & tree1(all_76_10) & % 33.13/5.33 | tree1(all_76_11) & ((all_76_17 = black1 & ~ (all_76_27 = % 33.13/5.33 | 0)) | (all_76_17 = red1 & ~ (all_76_9 = 0)))) | % 33.13/5.33 | (all_76_41 = leaf1 & all_76_42 = red1 & ~ (all_76_27 = % 33.13/5.33 | 0))))))) % 33.13/5.33 | % 33.13/5.33 | ALPHA: (14) implies: % 33.13/5.33 | (15) color1(all_76_42) % 33.57/5.33 | (16) color1(all_76_36) % 33.57/5.33 | (17) color1(all_76_17) % 33.57/5.33 | (18) tree1(all_76_43) % 33.57/5.33 | (19) tree1(all_76_41) % 33.57/5.33 | (20) tree1(all_76_38) % 33.57/5.33 | (21) tree1(all_76_37) % 33.57/5.33 | (22) tree1(all_76_35) % 33.57/5.33 | (23) tree1(all_76_32) % 33.57/5.33 | (24) tree1(all_76_25) % 33.57/5.33 | (25) tree1(all_76_22) % 33.57/5.33 | (26) tree1(all_76_16) % 33.57/5.33 | (27) tree1(all_76_13) % 33.57/5.33 | (28) tree1(all_76_7) % 33.57/5.33 | (29) tree1(all_76_4) % 33.57/5.33 | (30) node1(black1, all_76_38, all_76_45, all_76_44, all_76_43) = all_76_37 % 33.57/5.33 | (31) node1(all_76_42, all_76_41, all_76_40, all_76_39, all_76_38) = % 33.57/5.33 | all_76_46 % 33.57/5.33 | (32) lt_tree1(all_76_45, all_76_46) = 0 % 33.57/5.33 | (33) gt_tree1(all_76_45, all_76_43) = 0 % 33.57/5.33 | (34) bst1(all_76_46) = 0 % 33.57/5.33 | (35) bst1(all_76_43) = 0 % 33.57/5.33 | (36) (all_76_3 = all_76_41 & all_76_8 = red1 & all_76_38 = leaf1 & % 33.57/5.33 | all_76_42 = red1 & ~ (all_76_0 = 0) & bst1(all_76_1) = all_76_0 & % 33.57/5.33 | node1(black1, all_76_7, all_76_6, all_76_5, all_76_4) = all_76_2 & % 33.57/5.34 | node1(red1, all_76_2, all_76_40, all_76_39, all_76_37) = all_76_1 & % 33.57/5.34 | node1(red1, all_76_7, all_76_6, all_76_5, all_76_4) = all_76_41 & % 33.57/5.34 | tree1(all_76_1) & tree1(all_76_2)) | (all_76_31 = all_76_38 & % 33.57/5.34 | bst1(all_76_28) = all_76_27 & node1(all_76_36, all_76_35, all_76_34, % 33.57/5.34 | all_76_33, all_76_32) = all_76_38 & node1(black1, all_76_32, % 33.57/5.34 | all_76_45, all_76_44, all_76_43) = all_76_29 & node1(black1, % 33.57/5.34 | all_76_41, all_76_40, all_76_39, all_76_35) = all_76_30 & % 33.57/5.34 | node1(red1, all_76_30, all_76_34, all_76_33, all_76_29) = all_76_28 % 33.57/5.34 | & tree1(all_76_28) & tree1(all_76_29) & tree1(all_76_30) & % 33.57/5.34 | ((all_76_21 = all_76_41 & all_76_26 = red1 & all_76_36 = black1 & % 33.57/5.34 | all_76_42 = red1 & ~ (all_76_18 = 0) & bst1(all_76_19) = % 33.57/5.34 | all_76_18 & node1(black1, all_76_25, all_76_24, all_76_23, % 33.57/5.34 | all_76_22) = all_76_20 & node1(red1, all_76_20, all_76_40, % 33.57/5.34 | all_76_39, all_76_37) = all_76_19 & node1(red1, all_76_25, % 33.57/5.34 | all_76_24, all_76_23, all_76_22) = all_76_41 & % 33.57/5.34 | tree1(all_76_19) & tree1(all_76_20)) | (all_76_36 = red1 & % 33.57/5.34 | ((all_76_12 = all_76_41 & all_76_42 = red1 & bst1(all_76_10) = % 33.57/5.34 | all_76_9 & node1(all_76_17, all_76_16, all_76_15, all_76_14, % 33.57/5.34 | all_76_13) = all_76_41 & node1(black1, all_76_16, % 33.57/5.34 | all_76_15, all_76_14, all_76_13) = all_76_11 & node1(red1, % 33.57/5.34 | all_76_11, all_76_40, all_76_39, all_76_37) = all_76_10 & % 33.57/5.34 | tree1(all_76_10) & tree1(all_76_11) & ((all_76_17 = black1 & % 33.57/5.34 | ~ (all_76_27 = 0)) | (all_76_17 = red1 & ~ (all_76_9 = % 33.57/5.34 | 0)))) | (all_76_41 = leaf1 & all_76_42 = red1 & ~ % 33.57/5.34 | (all_76_27 = 0)))))) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (bst_right) with all_76_45, all_76_44, all_76_38, % 33.57/5.34 | all_76_43, black1, all_76_37, simplifying with (9), (18), (20), % 33.57/5.34 | (30) gives: % 33.57/5.34 | (37) ? [v0: any] : ? [v1: any] : (bst1(all_76_37) = v0 & bst1(all_76_43) % 33.57/5.34 | = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (bst_left) with all_76_45, all_76_44, all_76_38, % 33.57/5.34 | all_76_43, black1, all_76_37, simplifying with (9), (18), (20), % 33.57/5.34 | (30) gives: % 33.57/5.34 | (38) ? [v0: any] : ? [v1: any] : (bst1(all_76_37) = v0 & bst1(all_76_38) % 33.57/5.34 | = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (7) with black1, all_76_38, all_76_45, all_76_44, % 33.57/5.34 | all_76_43, all_76_37, simplifying with (9), (18), (20), (30) % 33.57/5.34 | gives: % 33.57/5.34 | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 33.57/5.34 | any] : (bst1(all_76_37) = v4 & bst1(all_76_38) = v0 & % 33.57/5.34 | bst1(all_76_43) = v1 & gt_tree1(all_76_45, all_76_43) = v3 & % 33.57/5.34 | lt_tree1(all_76_45, all_76_38) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | % 33.57/5.34 | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (6) with black1, all_76_38, all_76_45, all_76_44, % 33.57/5.34 | all_76_43, all_76_37, simplifying with (9), (18), (20), (30) % 33.57/5.34 | gives: % 33.57/5.34 | (40) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 33.57/5.34 | any] : (bst1(all_76_37) = v0 & bst1(all_76_38) = v1 & % 33.57/5.34 | bst1(all_76_43) = v2 & gt_tree1(all_76_45, all_76_43) = v4 & % 33.57/5.34 | lt_tree1(all_76_45, all_76_38) = v3 & ( ~ (v0 = 0) | (v4 = 0 & v3 = % 33.57/5.34 | 0 & v2 = 0 & v1 = 0))) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (bst_right) with all_76_40, all_76_39, all_76_41, % 33.57/5.34 | all_76_38, all_76_42, all_76_46, simplifying with (15), (19), % 33.57/5.34 | (20), (31) gives: % 33.57/5.34 | (41) ? [v0: any] : ? [v1: any] : (bst1(all_76_38) = v1 & bst1(all_76_46) % 33.57/5.34 | = v0 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (bst_left) with all_76_40, all_76_39, all_76_41, % 33.57/5.34 | all_76_38, all_76_42, all_76_46, simplifying with (15), (19), % 33.57/5.34 | (20), (31) gives: % 33.57/5.34 | (42) ? [v0: any] : ? [v1: any] : (bst1(all_76_41) = v1 & bst1(all_76_46) % 33.57/5.34 | = v0 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (7) with all_76_42, all_76_41, all_76_40, % 33.57/5.34 | all_76_39, all_76_38, all_76_46, simplifying with (15), (19), % 33.57/5.34 | (20), (31) gives: % 33.57/5.34 | (43) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 33.57/5.34 | any] : (bst1(all_76_38) = v1 & bst1(all_76_41) = v0 & % 33.57/5.34 | bst1(all_76_46) = v4 & gt_tree1(all_76_40, all_76_38) = v3 & % 33.57/5.34 | lt_tree1(all_76_40, all_76_41) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | % 33.57/5.34 | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 33.57/5.34 | % 33.57/5.34 | GROUND_INST: instantiating (6) with all_76_42, all_76_41, all_76_40, % 33.57/5.34 | all_76_39, all_76_38, all_76_46, simplifying with (15), (19), % 33.57/5.34 | (20), (31) gives: % 33.57/5.35 | (44) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 33.57/5.35 | any] : (bst1(all_76_38) = v2 & bst1(all_76_41) = v1 & % 33.57/5.35 | bst1(all_76_46) = v0 & gt_tree1(all_76_40, all_76_38) = v4 & % 33.57/5.35 | lt_tree1(all_76_40, all_76_41) = v3 & ( ~ (v0 = 0) | (v4 = 0 & v3 = % 33.57/5.35 | 0 & v2 = 0 & v1 = 0))) % 33.57/5.35 | % 33.57/5.35 | GROUND_INST: instantiating (lt_node_lt) with all_76_45, all_76_40, all_76_39, % 33.57/5.35 | all_76_41, all_76_38, all_76_42, all_76_46, simplifying with % 33.57/5.35 | (15), (19), (20), (31), (32) gives: % 33.57/5.35 | (45) $lesseq(1, $difference(all_76_45, all_76_40)) % 33.57/5.35 | % 33.57/5.35 | GROUND_INST: instantiating (lt_right) with all_76_45, all_76_40, all_76_39, % 33.57/5.35 | all_76_41, all_76_38, all_76_42, all_76_46, simplifying with % 33.57/5.35 | (15), (19), (20), (31), (32) gives: % 33.57/5.35 | (46) lt_tree1(all_76_45, all_76_38) = 0 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (37) with fresh symbols all_89_0, all_89_1 gives: % 33.57/5.35 | (47) bst1(all_76_37) = all_89_1 & bst1(all_76_43) = all_89_0 & ( ~ % 33.57/5.35 | (all_89_1 = 0) | all_89_0 = 0) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (47) implies: % 33.57/5.35 | (48) bst1(all_76_43) = all_89_0 % 33.57/5.35 | (49) bst1(all_76_37) = all_89_1 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (42) with fresh symbols all_91_0, all_91_1 gives: % 33.57/5.35 | (50) bst1(all_76_41) = all_91_0 & bst1(all_76_46) = all_91_1 & ( ~ % 33.57/5.35 | (all_91_1 = 0) | all_91_0 = 0) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (50) implies: % 33.57/5.35 | (51) bst1(all_76_46) = all_91_1 % 33.57/5.35 | (52) bst1(all_76_41) = all_91_0 % 33.57/5.35 | (53) ~ (all_91_1 = 0) | all_91_0 = 0 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (41) with fresh symbols all_93_0, all_93_1 gives: % 33.57/5.35 | (54) bst1(all_76_38) = all_93_0 & bst1(all_76_46) = all_93_1 & ( ~ % 33.57/5.35 | (all_93_1 = 0) | all_93_0 = 0) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (54) implies: % 33.57/5.35 | (55) bst1(all_76_46) = all_93_1 % 33.57/5.35 | (56) bst1(all_76_38) = all_93_0 % 33.57/5.35 | (57) ~ (all_93_1 = 0) | all_93_0 = 0 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (38) with fresh symbols all_95_0, all_95_1 gives: % 33.57/5.35 | (58) bst1(all_76_37) = all_95_1 & bst1(all_76_38) = all_95_0 & ( ~ % 33.57/5.35 | (all_95_1 = 0) | all_95_0 = 0) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (58) implies: % 33.57/5.35 | (59) bst1(all_76_38) = all_95_0 % 33.57/5.35 | (60) bst1(all_76_37) = all_95_1 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (43) with fresh symbols all_97_0, all_97_1, all_97_2, % 33.57/5.35 | all_97_3, all_97_4 gives: % 33.57/5.35 | (61) bst1(all_76_38) = all_97_3 & bst1(all_76_41) = all_97_4 & % 33.57/5.35 | bst1(all_76_46) = all_97_0 & gt_tree1(all_76_40, all_76_38) = all_97_1 % 33.57/5.35 | & lt_tree1(all_76_40, all_76_41) = all_97_2 & ( ~ (all_97_1 = 0) | ~ % 33.57/5.35 | (all_97_2 = 0) | ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | all_97_0 = % 33.57/5.35 | 0) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (61) implies: % 33.57/5.35 | (62) lt_tree1(all_76_40, all_76_41) = all_97_2 % 33.57/5.35 | (63) gt_tree1(all_76_40, all_76_38) = all_97_1 % 33.57/5.35 | (64) bst1(all_76_46) = all_97_0 % 33.57/5.35 | (65) bst1(all_76_41) = all_97_4 % 33.57/5.35 | (66) bst1(all_76_38) = all_97_3 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (40) with fresh symbols all_99_0, all_99_1, all_99_2, % 33.57/5.35 | all_99_3, all_99_4 gives: % 33.57/5.35 | (67) bst1(all_76_37) = all_99_4 & bst1(all_76_38) = all_99_3 & % 33.57/5.35 | bst1(all_76_43) = all_99_2 & gt_tree1(all_76_45, all_76_43) = all_99_0 % 33.57/5.35 | & lt_tree1(all_76_45, all_76_38) = all_99_1 & ( ~ (all_99_4 = 0) | % 33.57/5.35 | (all_99_0 = 0 & all_99_1 = 0 & all_99_2 = 0 & all_99_3 = 0)) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (67) implies: % 33.57/5.35 | (68) lt_tree1(all_76_45, all_76_38) = all_99_1 % 33.57/5.35 | (69) gt_tree1(all_76_45, all_76_43) = all_99_0 % 33.57/5.35 | (70) bst1(all_76_43) = all_99_2 % 33.57/5.35 | (71) bst1(all_76_38) = all_99_3 % 33.57/5.35 | (72) bst1(all_76_37) = all_99_4 % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (44) with fresh symbols all_101_0, all_101_1, all_101_2, % 33.57/5.35 | all_101_3, all_101_4 gives: % 33.57/5.35 | (73) bst1(all_76_38) = all_101_2 & bst1(all_76_41) = all_101_3 & % 33.57/5.35 | bst1(all_76_46) = all_101_4 & gt_tree1(all_76_40, all_76_38) = % 33.57/5.35 | all_101_0 & lt_tree1(all_76_40, all_76_41) = all_101_1 & ( ~ % 33.57/5.35 | (all_101_4 = 0) | (all_101_0 = 0 & all_101_1 = 0 & all_101_2 = 0 & % 33.57/5.35 | all_101_3 = 0)) % 33.57/5.35 | % 33.57/5.35 | ALPHA: (73) implies: % 33.57/5.35 | (74) lt_tree1(all_76_40, all_76_41) = all_101_1 % 33.57/5.35 | (75) gt_tree1(all_76_40, all_76_38) = all_101_0 % 33.57/5.35 | (76) bst1(all_76_46) = all_101_4 % 33.57/5.35 | (77) bst1(all_76_41) = all_101_3 % 33.57/5.35 | (78) bst1(all_76_38) = all_101_2 % 33.57/5.35 | (79) ~ (all_101_4 = 0) | (all_101_0 = 0 & all_101_1 = 0 & all_101_2 = 0 & % 33.57/5.35 | all_101_3 = 0) % 33.57/5.35 | % 33.57/5.35 | DELTA: instantiating (39) with fresh symbols all_103_0, all_103_1, all_103_2, % 33.57/5.35 | all_103_3, all_103_4 gives: % 33.57/5.36 | (80) bst1(all_76_37) = all_103_0 & bst1(all_76_38) = all_103_4 & % 33.57/5.36 | bst1(all_76_43) = all_103_3 & gt_tree1(all_76_45, all_76_43) = % 33.57/5.36 | all_103_1 & lt_tree1(all_76_45, all_76_38) = all_103_2 & ( ~ % 33.57/5.36 | (all_103_1 = 0) | ~ (all_103_2 = 0) | ~ (all_103_3 = 0) | ~ % 33.57/5.36 | (all_103_4 = 0) | all_103_0 = 0) % 33.57/5.36 | % 33.57/5.36 | ALPHA: (80) implies: % 33.57/5.36 | (81) lt_tree1(all_76_45, all_76_38) = all_103_2 % 33.57/5.36 | (82) gt_tree1(all_76_45, all_76_43) = all_103_1 % 33.57/5.36 | (83) bst1(all_76_43) = all_103_3 % 33.57/5.36 | (84) bst1(all_76_38) = all_103_4 % 33.57/5.36 | (85) bst1(all_76_37) = all_103_0 % 33.57/5.36 | (86) ~ (all_103_1 = 0) | ~ (all_103_2 = 0) | ~ (all_103_3 = 0) | ~ % 33.57/5.36 | (all_103_4 = 0) | all_103_0 = 0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (12) with all_99_1, all_103_2, all_76_38, % 33.57/5.36 | all_76_45, simplifying with (68), (81) gives: % 33.57/5.36 | (87) all_103_2 = all_99_1 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (12) with 0, all_103_2, all_76_38, all_76_45, % 33.57/5.36 | simplifying with (46), (81) gives: % 33.57/5.36 | (88) all_103_2 = 0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (12) with all_97_2, all_101_1, all_76_41, % 33.57/5.36 | all_76_40, simplifying with (62), (74) gives: % 33.57/5.36 | (89) all_101_1 = all_97_2 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (13) with all_99_0, all_103_1, all_76_43, % 33.57/5.36 | all_76_45, simplifying with (69), (82) gives: % 33.57/5.36 | (90) all_103_1 = all_99_0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (13) with 0, all_103_1, all_76_43, all_76_45, % 33.57/5.36 | simplifying with (33), (82) gives: % 33.57/5.36 | (91) all_103_1 = 0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (13) with all_97_1, all_101_0, all_76_38, % 33.57/5.36 | all_76_40, simplifying with (63), (75) gives: % 33.57/5.36 | (92) all_101_0 = all_97_1 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with 0, all_97_0, all_76_46, simplifying with % 33.57/5.36 | (34), (64) gives: % 33.57/5.36 | (93) all_97_0 = 0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_93_1, all_97_0, all_76_46, % 33.57/5.36 | simplifying with (55), (64) gives: % 33.57/5.36 | (94) all_97_0 = all_93_1 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_93_1, all_101_4, all_76_46, % 33.57/5.36 | simplifying with (55), (76) gives: % 33.57/5.36 | (95) all_101_4 = all_93_1 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_91_1, all_101_4, all_76_46, % 33.57/5.36 | simplifying with (51), (76) gives: % 33.57/5.36 | (96) all_101_4 = all_91_1 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with 0, all_103_3, all_76_43, simplifying with % 33.57/5.36 | (35), (83) gives: % 33.57/5.36 | (97) all_103_3 = 0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_99_2, all_103_3, all_76_43, % 33.57/5.36 | simplifying with (70), (83) gives: % 33.57/5.36 | (98) all_103_3 = all_99_2 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_89_0, all_103_3, all_76_43, % 33.57/5.36 | simplifying with (48), (83) gives: % 33.57/5.36 | (99) all_103_3 = all_89_0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_97_4, all_101_3, all_76_41, % 33.57/5.36 | simplifying with (65), (77) gives: % 33.57/5.36 | (100) all_101_3 = all_97_4 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_91_0, all_101_3, all_76_41, % 33.57/5.36 | simplifying with (52), (77) gives: % 33.57/5.36 | (101) all_101_3 = all_91_0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_97_3, all_99_3, all_76_38, % 33.57/5.36 | simplifying with (66), (71) gives: % 33.57/5.36 | (102) all_99_3 = all_97_3 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_95_0, all_99_3, all_76_38, % 33.57/5.36 | simplifying with (59), (71) gives: % 33.57/5.36 | (103) all_99_3 = all_95_0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_97_3, all_101_2, all_76_38, % 33.57/5.36 | simplifying with (66), (78) gives: % 33.57/5.36 | (104) all_101_2 = all_97_3 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_101_2, all_103_4, all_76_38, % 33.57/5.36 | simplifying with (78), (84) gives: % 33.57/5.36 | (105) all_103_4 = all_101_2 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_93_0, all_103_4, all_76_38, % 33.57/5.36 | simplifying with (56), (84) gives: % 33.57/5.36 | (106) all_103_4 = all_93_0 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_95_1, all_99_4, all_76_37, % 33.57/5.36 | simplifying with (60), (72) gives: % 33.57/5.36 | (107) all_99_4 = all_95_1 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_99_4, all_103_0, all_76_37, % 33.57/5.36 | simplifying with (72), (85) gives: % 33.57/5.36 | (108) all_103_0 = all_99_4 % 33.57/5.36 | % 33.57/5.36 | GROUND_INST: instantiating (11) with all_89_1, all_103_0, all_76_37, % 33.57/5.36 | simplifying with (49), (85) gives: % 33.57/5.36 | (109) all_103_0 = all_89_1 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (108), (109) imply: % 33.57/5.36 | (110) all_99_4 = all_89_1 % 33.57/5.36 | % 33.57/5.36 | SIMP: (110) implies: % 33.57/5.36 | (111) all_99_4 = all_89_1 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (90), (91) imply: % 33.57/5.36 | (112) all_99_0 = 0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (87), (88) imply: % 33.57/5.36 | (113) all_99_1 = 0 % 33.57/5.36 | % 33.57/5.36 | SIMP: (113) implies: % 33.57/5.36 | (114) all_99_1 = 0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (98), (99) imply: % 33.57/5.36 | (115) all_99_2 = all_89_0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (97), (98) imply: % 33.57/5.36 | (116) all_99_2 = 0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (105), (106) imply: % 33.57/5.36 | (117) all_101_2 = all_93_0 % 33.57/5.36 | % 33.57/5.36 | SIMP: (117) implies: % 33.57/5.36 | (118) all_101_2 = all_93_0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (104), (118) imply: % 33.57/5.36 | (119) all_97_3 = all_93_0 % 33.57/5.36 | % 33.57/5.36 | SIMP: (119) implies: % 33.57/5.36 | (120) all_97_3 = all_93_0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (100), (101) imply: % 33.57/5.36 | (121) all_97_4 = all_91_0 % 33.57/5.36 | % 33.57/5.36 | COMBINE_EQS: (95), (96) imply: % 33.57/5.36 | (122) all_93_1 = all_91_1 % 33.57/5.36 | % 33.57/5.36 | SIMP: (122) implies: % 33.57/5.37 | (123) all_93_1 = all_91_1 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (115), (116) imply: % 33.57/5.37 | (124) all_89_0 = 0 % 33.57/5.37 | % 33.57/5.37 | SIMP: (124) implies: % 33.57/5.37 | (125) all_89_0 = 0 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (102), (103) imply: % 33.57/5.37 | (126) all_97_3 = all_95_0 % 33.57/5.37 | % 33.57/5.37 | SIMP: (126) implies: % 33.57/5.37 | (127) all_97_3 = all_95_0 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (107), (111) imply: % 33.57/5.37 | (128) all_95_1 = all_89_1 % 33.57/5.37 | % 33.57/5.37 | SIMP: (128) implies: % 33.57/5.37 | (129) all_95_1 = all_89_1 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (93), (94) imply: % 33.57/5.37 | (130) all_93_1 = 0 % 33.57/5.37 | % 33.57/5.37 | SIMP: (130) implies: % 33.57/5.37 | (131) all_93_1 = 0 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (120), (127) imply: % 33.57/5.37 | (132) all_95_0 = all_93_0 % 33.57/5.37 | % 33.57/5.37 | SIMP: (132) implies: % 33.57/5.37 | (133) all_95_0 = all_93_0 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (123), (131) imply: % 33.57/5.37 | (134) all_91_1 = 0 % 33.57/5.37 | % 33.57/5.37 | COMBINE_EQS: (96), (134) imply: % 33.57/5.37 | (135) all_101_4 = 0 % 33.57/5.37 | % 33.57/5.37 | BETA: splitting (53) gives: % 33.57/5.37 | % 33.57/5.37 | Case 1: % 33.57/5.37 | | % 33.57/5.37 | | (136) ~ (all_91_1 = 0) % 33.57/5.37 | | % 33.57/5.37 | | REDUCE: (134), (136) imply: % 33.57/5.37 | | (137) $false % 33.57/5.37 | | % 33.57/5.37 | | CLOSE: (137) is inconsistent. % 33.57/5.37 | | % 33.57/5.37 | Case 2: % 33.57/5.37 | | % 33.57/5.37 | | (138) all_91_0 = 0 % 33.57/5.37 | | % 33.57/5.37 | | REDUCE: (52), (138) imply: % 33.57/5.37 | | (139) bst1(all_76_41) = 0 % 33.57/5.37 | | % 33.57/5.37 | | BETA: splitting (57) gives: % 33.57/5.37 | | % 33.57/5.37 | | Case 1: % 33.57/5.37 | | | % 33.57/5.37 | | | (140) ~ (all_93_1 = 0) % 33.57/5.37 | | | % 33.57/5.37 | | | REDUCE: (131), (140) imply: % 33.57/5.37 | | | (141) $false % 33.57/5.37 | | | % 33.57/5.37 | | | CLOSE: (141) is inconsistent. % 33.57/5.37 | | | % 33.57/5.37 | | Case 2: % 33.57/5.37 | | | % 33.57/5.37 | | | (142) all_93_0 = 0 % 33.57/5.37 | | | % 33.57/5.37 | | | COMBINE_EQS: (106), (142) imply: % 33.57/5.37 | | | (143) all_103_4 = 0 % 33.57/5.37 | | | % 33.57/5.37 | | | REDUCE: (56), (142) imply: % 33.57/5.37 | | | (144) bst1(all_76_38) = 0 % 33.57/5.37 | | | % 33.57/5.37 | | | BETA: splitting (79) gives: % 33.57/5.37 | | | % 33.57/5.37 | | | Case 1: % 33.57/5.37 | | | | % 33.57/5.37 | | | | (145) ~ (all_101_4 = 0) % 33.57/5.37 | | | | % 33.57/5.37 | | | | REDUCE: (135), (145) imply: % 33.57/5.37 | | | | (146) $false % 33.57/5.37 | | | | % 33.57/5.37 | | | | CLOSE: (146) is inconsistent. % 33.57/5.37 | | | | % 33.57/5.37 | | | Case 2: % 33.57/5.37 | | | | % 33.57/5.37 | | | | (147) all_101_0 = 0 & all_101_1 = 0 & all_101_2 = 0 & all_101_3 = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | ALPHA: (147) implies: % 33.57/5.37 | | | | (148) all_101_1 = 0 % 33.57/5.37 | | | | (149) all_101_0 = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | COMBINE_EQS: (92), (149) imply: % 33.57/5.37 | | | | (150) all_97_1 = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | COMBINE_EQS: (89), (148) imply: % 33.57/5.37 | | | | (151) all_97_2 = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | SIMP: (151) implies: % 33.57/5.37 | | | | (152) all_97_2 = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | REDUCE: (63), (150) imply: % 33.57/5.37 | | | | (153) gt_tree1(all_76_40, all_76_38) = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | REDUCE: (62), (152) imply: % 33.57/5.37 | | | | (154) lt_tree1(all_76_40, all_76_41) = 0 % 33.57/5.37 | | | | % 33.57/5.37 | | | | BETA: splitting (86) gives: % 33.57/5.37 | | | | % 33.57/5.37 | | | | Case 1: % 33.57/5.37 | | | | | % 33.57/5.37 | | | | | (155) ~ (all_103_1 = 0) % 33.57/5.37 | | | | | % 33.57/5.37 | | | | | REDUCE: (91), (155) imply: % 33.57/5.37 | | | | | (156) $false % 33.57/5.37 | | | | | % 33.57/5.37 | | | | | CLOSE: (156) is inconsistent. % 33.57/5.37 | | | | | % 33.57/5.37 | | | | Case 2: % 33.57/5.37 | | | | | % 33.57/5.37 | | | | | (157) ~ (all_103_2 = 0) | ~ (all_103_3 = 0) | ~ (all_103_4 = 0) % 33.57/5.37 | | | | | | all_103_0 = 0 % 33.57/5.37 | | | | | % 33.57/5.37 | | | | | BETA: splitting (157) gives: % 33.57/5.37 | | | | | % 33.57/5.37 | | | | | Case 1: % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | | (158) ~ (all_103_2 = 0) % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | | REDUCE: (88), (158) imply: % 33.57/5.37 | | | | | | (159) $false % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | | CLOSE: (159) is inconsistent. % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | Case 2: % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | | (160) ~ (all_103_3 = 0) | ~ (all_103_4 = 0) | all_103_0 = 0 % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | | BETA: splitting (160) gives: % 33.57/5.37 | | | | | | % 33.57/5.37 | | | | | | Case 1: % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | | (161) ~ (all_103_3 = 0) % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | | REDUCE: (97), (161) imply: % 33.57/5.37 | | | | | | | (162) $false % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | | CLOSE: (162) is inconsistent. % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | Case 2: % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | | (163) ~ (all_103_4 = 0) | all_103_0 = 0 % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | | BETA: splitting (163) gives: % 33.57/5.37 | | | | | | | % 33.57/5.37 | | | | | | | Case 1: % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | (164) ~ (all_103_4 = 0) % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | REDUCE: (143), (164) imply: % 33.57/5.37 | | | | | | | | (165) $false % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | CLOSE: (165) is inconsistent. % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | Case 2: % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | (166) all_103_0 = 0 % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | COMBINE_EQS: (109), (166) imply: % 33.57/5.37 | | | | | | | | (167) all_89_1 = 0 % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | REDUCE: (49), (167) imply: % 33.57/5.37 | | | | | | | | (168) bst1(all_76_37) = 0 % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | BETA: splitting (36) gives: % 33.57/5.37 | | | | | | | | % 33.57/5.37 | | | | | | | | Case 1: % 33.57/5.37 | | | | | | | | | % 33.57/5.37 | | | | | | | | | (169) all_76_3 = all_76_41 & all_76_8 = red1 & all_76_38 = % 33.57/5.37 | | | | | | | | | leaf1 & all_76_42 = red1 & ~ (all_76_0 = 0) & % 33.57/5.37 | | | | | | | | | bst1(all_76_1) = all_76_0 & node1(black1, all_76_7, % 33.57/5.37 | | | | | | | | | all_76_6, all_76_5, all_76_4) = all_76_2 & % 33.57/5.37 | | | | | | | | | node1(red1, all_76_2, all_76_40, all_76_39, % 33.57/5.37 | | | | | | | | | all_76_37) = all_76_1 & node1(red1, all_76_7, % 33.57/5.37 | | | | | | | | | all_76_6, all_76_5, all_76_4) = all_76_41 & % 33.57/5.37 | | | | | | | | | tree1(all_76_1) & tree1(all_76_2) % 33.57/5.37 | | | | | | | | | % 33.57/5.37 | | | | | | | | | ALPHA: (169) implies: % 33.57/5.37 | | | | | | | | | (170) all_76_42 = red1 % 33.57/5.37 | | | | | | | | | (171) all_76_38 = leaf1 % 33.57/5.37 | | | | | | | | | (172) ~ (all_76_0 = 0) % 33.57/5.37 | | | | | | | | | (173) tree1(all_76_2) % 33.57/5.37 | | | | | | | | | (174) node1(red1, all_76_7, all_76_6, all_76_5, all_76_4) = % 33.57/5.37 | | | | | | | | | all_76_41 % 33.57/5.37 | | | | | | | | | (175) node1(red1, all_76_2, all_76_40, all_76_39, % 33.57/5.37 | | | | | | | | | all_76_37) = all_76_1 % 33.57/5.37 | | | | | | | | | (176) node1(black1, all_76_7, all_76_6, all_76_5, all_76_4) % 33.57/5.37 | | | | | | | | | = all_76_2 % 33.57/5.37 | | | | | | | | | (177) bst1(all_76_1) = all_76_0 % 33.57/5.37 | | | | | | | | | % 33.57/5.37 | | | | | | | | | REDUCE: (30), (171) imply: % 33.57/5.37 | | | | | | | | | (178) node1(black1, leaf1, all_76_45, all_76_44, all_76_43) % 33.57/5.37 | | | | | | | | | = all_76_37 % 33.57/5.37 | | | | | | | | | % 33.57/5.37 | | | | | | | | | REDUCE: (20), (171) imply: % 33.57/5.37 | | | | | | | | | (179) tree1(leaf1) % 33.57/5.37 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (lt_node_lt) with all_76_40, % 33.57/5.38 | | | | | | | | | all_76_6, all_76_5, all_76_7, all_76_4, red1, % 33.57/5.38 | | | | | | | | | all_76_41, simplifying with (8), (28), (29), % 33.57/5.38 | | | | | | | | | (154), (174) gives: % 33.57/5.38 | | | | | | | | | (180) $lesseq(1, $difference(all_76_40, all_76_6)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (lt_right) with all_76_40, all_76_6, % 33.57/5.38 | | | | | | | | | all_76_5, all_76_7, all_76_4, red1, all_76_41, % 33.57/5.38 | | | | | | | | | simplifying with (8), (28), (29), (154), (174) % 33.57/5.38 | | | | | | | | | gives: % 33.57/5.38 | | | | | | | | | (181) lt_tree1(all_76_40, all_76_4) = 0 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (lt_left) with all_76_40, all_76_6, % 33.57/5.38 | | | | | | | | | all_76_5, all_76_7, all_76_4, red1, all_76_41, % 33.57/5.38 | | | | | | | | | simplifying with (8), (28), (29), (154), (174) % 33.57/5.38 | | | | | | | | | gives: % 33.57/5.38 | | | | | | | | | (182) lt_tree1(all_76_40, all_76_7) = 0 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_6, all_76_5, % 33.57/5.38 | | | | | | | | | all_76_7, all_76_4, red1, all_76_41, simplifying % 33.57/5.38 | | | | | | | | | with (8), (28), (29), (174) gives: % 33.57/5.38 | | | | | | | | | (183) ? [v0: any] : ? [v1: any] : (bst1(all_76_4) = v1 & % 33.57/5.38 | | | | | | | | | bst1(all_76_41) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_6, all_76_5, % 33.57/5.38 | | | | | | | | | all_76_7, all_76_4, red1, all_76_41, simplifying % 33.57/5.38 | | | | | | | | | with (8), (28), (29), (174) gives: % 33.57/5.38 | | | | | | | | | (184) ? [v0: any] : ? [v1: any] : (bst1(all_76_7) = v1 & % 33.57/5.38 | | | | | | | | | bst1(all_76_41) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_7, all_76_6, % 33.57/5.38 | | | | | | | | | all_76_5, all_76_4, all_76_41, simplifying with % 33.57/5.38 | | | | | | | | | (8), (28), (29), (174) gives: % 33.57/5.38 | | | | | | | | | (185) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.38 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_4) = v1 & % 33.57/5.38 | | | | | | | | | bst1(all_76_7) = v0 & bst1(all_76_41) = v4 & % 33.57/5.38 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = v3 & % 33.57/5.38 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = v2 & ( ~ (v3 = 0) | % 33.57/5.38 | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_7, all_76_6, % 33.57/5.38 | | | | | | | | | all_76_5, all_76_4, all_76_41, simplifying with % 33.57/5.38 | | | | | | | | | (8), (28), (29), (174) gives: % 33.57/5.38 | | | | | | | | | (186) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.38 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_4) = v2 & % 33.57/5.38 | | | | | | | | | bst1(all_76_7) = v1 & bst1(all_76_41) = v0 & % 33.57/5.38 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = v4 & % 33.57/5.38 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = v3 & ( ~ (v0 = 0) | % 33.57/5.38 | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_40, % 33.57/5.38 | | | | | | | | | all_76_39, all_76_2, all_76_37, red1, all_76_1, % 33.57/5.38 | | | | | | | | | simplifying with (8), (21), (173), (175) gives: % 33.57/5.38 | | | | | | | | | (187) ? [v0: any] : ? [v1: any] : (bst1(all_76_1) = v0 & % 33.57/5.38 | | | | | | | | | bst1(all_76_2) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_2, all_76_40, % 33.57/5.38 | | | | | | | | | all_76_39, all_76_37, all_76_1, simplifying with % 33.57/5.38 | | | | | | | | | (8), (21), (173), (175) gives: % 33.57/5.38 | | | | | | | | | (188) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.38 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_1) = v4 & % 33.57/5.38 | | | | | | | | | bst1(all_76_2) = v0 & bst1(all_76_37) = v1 & % 33.57/5.38 | | | | | | | | | gt_tree1(all_76_40, all_76_37) = v3 & % 33.57/5.38 | | | | | | | | | lt_tree1(all_76_40, all_76_2) = v2 & ( ~ (v3 = 0) | % 33.57/5.38 | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 33.57/5.38 | | | | | | | | | 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_2, all_76_40, % 33.57/5.38 | | | | | | | | | all_76_39, all_76_37, all_76_1, simplifying with % 33.57/5.38 | | | | | | | | | (8), (21), (173), (175) gives: % 33.57/5.38 | | | | | | | | | (189) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.38 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_1) = v0 & % 33.57/5.38 | | | | | | | | | bst1(all_76_2) = v1 & bst1(all_76_37) = v2 & % 33.57/5.38 | | | | | | | | | gt_tree1(all_76_40, all_76_37) = v4 & % 33.57/5.38 | | | | | | | | | lt_tree1(all_76_40, all_76_2) = v3 & ( ~ (v0 = 0) | % 33.57/5.38 | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_6, all_76_5, % 33.57/5.38 | | | | | | | | | all_76_7, all_76_4, black1, all_76_2, simplifying % 33.57/5.38 | | | | | | | | | with (9), (28), (29), (176) gives: % 33.57/5.38 | | | | | | | | | (190) ? [v0: any] : ? [v1: any] : (bst1(all_76_2) = v0 & % 33.57/5.38 | | | | | | | | | bst1(all_76_4) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_6, all_76_5, % 33.57/5.38 | | | | | | | | | all_76_7, all_76_4, black1, all_76_2, simplifying % 33.57/5.38 | | | | | | | | | with (9), (28), (29), (176) gives: % 33.57/5.38 | | | | | | | | | (191) ? [v0: any] : ? [v1: any] : (bst1(all_76_2) = v0 & % 33.57/5.38 | | | | | | | | | bst1(all_76_7) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (7) with black1, all_76_7, all_76_6, % 33.57/5.38 | | | | | | | | | all_76_5, all_76_4, all_76_2, simplifying with % 33.57/5.38 | | | | | | | | | (9), (28), (29), (176) gives: % 33.57/5.38 | | | | | | | | | (192) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.38 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_2) = v4 & % 33.57/5.38 | | | | | | | | | bst1(all_76_4) = v1 & bst1(all_76_7) = v0 & % 33.57/5.38 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = v3 & % 33.57/5.38 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = v2 & ( ~ (v3 = 0) | % 33.57/5.38 | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | GROUND_INST: instantiating (6) with black1, all_76_7, all_76_6, % 33.57/5.38 | | | | | | | | | all_76_5, all_76_4, all_76_2, simplifying with % 33.57/5.38 | | | | | | | | | (9), (28), (29), (176) gives: % 33.57/5.38 | | | | | | | | | (193) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.38 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_2) = v0 & % 33.57/5.38 | | | | | | | | | bst1(all_76_4) = v2 & bst1(all_76_7) = v1 & % 33.57/5.38 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = v4 & % 33.57/5.38 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = v3 & ( ~ (v0 = 0) | % 33.57/5.38 | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | DELTA: instantiating (187) with fresh symbols all_196_0, % 33.57/5.38 | | | | | | | | | all_196_1 gives: % 33.57/5.38 | | | | | | | | | (194) bst1(all_76_1) = all_196_1 & bst1(all_76_2) = % 33.57/5.38 | | | | | | | | | all_196_0 & ( ~ (all_196_1 = 0) | all_196_0 = 0) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | ALPHA: (194) implies: % 33.57/5.38 | | | | | | | | | (195) bst1(all_76_2) = all_196_0 % 33.57/5.38 | | | | | | | | | (196) bst1(all_76_1) = all_196_1 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | DELTA: instantiating (191) with fresh symbols all_198_0, % 33.57/5.38 | | | | | | | | | all_198_1 gives: % 33.57/5.38 | | | | | | | | | (197) bst1(all_76_2) = all_198_1 & bst1(all_76_7) = % 33.57/5.38 | | | | | | | | | all_198_0 & ( ~ (all_198_1 = 0) | all_198_0 = 0) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | ALPHA: (197) implies: % 33.57/5.38 | | | | | | | | | (198) bst1(all_76_7) = all_198_0 % 33.57/5.38 | | | | | | | | | (199) bst1(all_76_2) = all_198_1 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | DELTA: instantiating (184) with fresh symbols all_200_0, % 33.57/5.38 | | | | | | | | | all_200_1 gives: % 33.57/5.38 | | | | | | | | | (200) bst1(all_76_7) = all_200_0 & bst1(all_76_41) = % 33.57/5.38 | | | | | | | | | all_200_1 & ( ~ (all_200_1 = 0) | all_200_0 = 0) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | ALPHA: (200) implies: % 33.57/5.38 | | | | | | | | | (201) bst1(all_76_41) = all_200_1 % 33.57/5.38 | | | | | | | | | (202) bst1(all_76_7) = all_200_0 % 33.57/5.38 | | | | | | | | | (203) ~ (all_200_1 = 0) | all_200_0 = 0 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | DELTA: instantiating (183) with fresh symbols all_202_0, % 33.57/5.38 | | | | | | | | | all_202_1 gives: % 33.57/5.38 | | | | | | | | | (204) bst1(all_76_4) = all_202_0 & bst1(all_76_41) = % 33.57/5.38 | | | | | | | | | all_202_1 & ( ~ (all_202_1 = 0) | all_202_0 = 0) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | ALPHA: (204) implies: % 33.57/5.38 | | | | | | | | | (205) bst1(all_76_41) = all_202_1 % 33.57/5.38 | | | | | | | | | (206) bst1(all_76_4) = all_202_0 % 33.57/5.38 | | | | | | | | | (207) ~ (all_202_1 = 0) | all_202_0 = 0 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | DELTA: instantiating (190) with fresh symbols all_204_0, % 33.57/5.38 | | | | | | | | | all_204_1 gives: % 33.57/5.38 | | | | | | | | | (208) bst1(all_76_2) = all_204_1 & bst1(all_76_4) = % 33.57/5.38 | | | | | | | | | all_204_0 & ( ~ (all_204_1 = 0) | all_204_0 = 0) % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | ALPHA: (208) implies: % 33.57/5.38 | | | | | | | | | (209) bst1(all_76_2) = all_204_1 % 33.57/5.38 | | | | | | | | | % 33.57/5.38 | | | | | | | | | DELTA: instantiating (186) with fresh symbols all_206_0, % 33.57/5.38 | | | | | | | | | all_206_1, all_206_2, all_206_3, all_206_4 gives: % 33.57/5.39 | | | | | | | | | (210) bst1(all_76_4) = all_206_2 & bst1(all_76_7) = % 33.57/5.39 | | | | | | | | | all_206_3 & bst1(all_76_41) = all_206_4 & % 33.57/5.39 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = all_206_0 & % 33.57/5.39 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = all_206_1 & ( ~ % 33.57/5.39 | | | | | | | | | (all_206_4 = 0) | (all_206_0 = 0 & all_206_1 = 0 & % 33.57/5.39 | | | | | | | | | all_206_2 = 0 & all_206_3 = 0)) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | ALPHA: (210) implies: % 33.57/5.39 | | | | | | | | | (211) lt_tree1(all_76_6, all_76_7) = all_206_1 % 33.57/5.39 | | | | | | | | | (212) gt_tree1(all_76_6, all_76_4) = all_206_0 % 33.57/5.39 | | | | | | | | | (213) bst1(all_76_41) = all_206_4 % 33.57/5.39 | | | | | | | | | (214) bst1(all_76_7) = all_206_3 % 33.57/5.39 | | | | | | | | | (215) bst1(all_76_4) = all_206_2 % 33.57/5.39 | | | | | | | | | (216) ~ (all_206_4 = 0) | (all_206_0 = 0 & all_206_1 = 0 & % 33.57/5.39 | | | | | | | | | all_206_2 = 0 & all_206_3 = 0) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | DELTA: instantiating (193) with fresh symbols all_208_0, % 33.57/5.39 | | | | | | | | | all_208_1, all_208_2, all_208_3, all_208_4 gives: % 33.57/5.39 | | | | | | | | | (217) bst1(all_76_2) = all_208_4 & bst1(all_76_4) = % 33.57/5.39 | | | | | | | | | all_208_2 & bst1(all_76_7) = all_208_3 & % 33.57/5.39 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = all_208_0 & % 33.57/5.39 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = all_208_1 & ( ~ % 33.57/5.39 | | | | | | | | | (all_208_4 = 0) | (all_208_0 = 0 & all_208_1 = 0 & % 33.57/5.39 | | | | | | | | | all_208_2 = 0 & all_208_3 = 0)) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | ALPHA: (217) implies: % 33.57/5.39 | | | | | | | | | (218) lt_tree1(all_76_6, all_76_7) = all_208_1 % 33.57/5.39 | | | | | | | | | (219) gt_tree1(all_76_6, all_76_4) = all_208_0 % 33.57/5.39 | | | | | | | | | (220) bst1(all_76_7) = all_208_3 % 33.57/5.39 | | | | | | | | | (221) bst1(all_76_4) = all_208_2 % 33.57/5.39 | | | | | | | | | (222) bst1(all_76_2) = all_208_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | DELTA: instantiating (192) with fresh symbols all_210_0, % 33.57/5.39 | | | | | | | | | all_210_1, all_210_2, all_210_3, all_210_4 gives: % 33.57/5.39 | | | | | | | | | (223) bst1(all_76_2) = all_210_0 & bst1(all_76_4) = % 33.57/5.39 | | | | | | | | | all_210_3 & bst1(all_76_7) = all_210_4 & % 33.57/5.39 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = all_210_1 & % 33.57/5.39 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = all_210_2 & ( ~ % 33.57/5.39 | | | | | | | | | (all_210_1 = 0) | ~ (all_210_2 = 0) | ~ % 33.57/5.39 | | | | | | | | | (all_210_3 = 0) | ~ (all_210_4 = 0) | all_210_0 = % 33.57/5.39 | | | | | | | | | 0) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | ALPHA: (223) implies: % 33.57/5.39 | | | | | | | | | (224) lt_tree1(all_76_6, all_76_7) = all_210_2 % 33.57/5.39 | | | | | | | | | (225) gt_tree1(all_76_6, all_76_4) = all_210_1 % 33.57/5.39 | | | | | | | | | (226) bst1(all_76_7) = all_210_4 % 33.57/5.39 | | | | | | | | | (227) bst1(all_76_4) = all_210_3 % 33.57/5.39 | | | | | | | | | (228) bst1(all_76_2) = all_210_0 % 33.57/5.39 | | | | | | | | | (229) ~ (all_210_1 = 0) | ~ (all_210_2 = 0) | ~ % 33.57/5.39 | | | | | | | | | (all_210_3 = 0) | ~ (all_210_4 = 0) | all_210_0 = 0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | DELTA: instantiating (185) with fresh symbols all_212_0, % 33.57/5.39 | | | | | | | | | all_212_1, all_212_2, all_212_3, all_212_4 gives: % 33.57/5.39 | | | | | | | | | (230) bst1(all_76_4) = all_212_3 & bst1(all_76_7) = % 33.57/5.39 | | | | | | | | | all_212_4 & bst1(all_76_41) = all_212_0 & % 33.57/5.39 | | | | | | | | | gt_tree1(all_76_6, all_76_4) = all_212_1 & % 33.57/5.39 | | | | | | | | | lt_tree1(all_76_6, all_76_7) = all_212_2 & ( ~ % 33.57/5.39 | | | | | | | | | (all_212_1 = 0) | ~ (all_212_2 = 0) | ~ % 33.57/5.39 | | | | | | | | | (all_212_3 = 0) | ~ (all_212_4 = 0) | all_212_0 = % 33.57/5.39 | | | | | | | | | 0) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | ALPHA: (230) implies: % 33.57/5.39 | | | | | | | | | (231) lt_tree1(all_76_6, all_76_7) = all_212_2 % 33.57/5.39 | | | | | | | | | (232) gt_tree1(all_76_6, all_76_4) = all_212_1 % 33.57/5.39 | | | | | | | | | (233) bst1(all_76_41) = all_212_0 % 33.57/5.39 | | | | | | | | | (234) bst1(all_76_7) = all_212_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | DELTA: instantiating (189) with fresh symbols all_214_0, % 33.57/5.39 | | | | | | | | | all_214_1, all_214_2, all_214_3, all_214_4 gives: % 33.57/5.39 | | | | | | | | | (235) bst1(all_76_1) = all_214_4 & bst1(all_76_2) = % 33.57/5.39 | | | | | | | | | all_214_3 & bst1(all_76_37) = all_214_2 & % 33.57/5.39 | | | | | | | | | gt_tree1(all_76_40, all_76_37) = all_214_0 & % 33.57/5.39 | | | | | | | | | lt_tree1(all_76_40, all_76_2) = all_214_1 & ( ~ % 33.57/5.39 | | | | | | | | | (all_214_4 = 0) | (all_214_0 = 0 & all_214_1 = 0 & % 33.57/5.39 | | | | | | | | | all_214_2 = 0 & all_214_3 = 0)) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | ALPHA: (235) implies: % 33.57/5.39 | | | | | | | | | (236) lt_tree1(all_76_40, all_76_2) = all_214_1 % 33.57/5.39 | | | | | | | | | (237) gt_tree1(all_76_40, all_76_37) = all_214_0 % 33.57/5.39 | | | | | | | | | (238) bst1(all_76_2) = all_214_3 % 33.57/5.39 | | | | | | | | | (239) bst1(all_76_1) = all_214_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | DELTA: instantiating (188) with fresh symbols all_216_0, % 33.57/5.39 | | | | | | | | | all_216_1, all_216_2, all_216_3, all_216_4 gives: % 33.57/5.39 | | | | | | | | | (240) bst1(all_76_1) = all_216_0 & bst1(all_76_2) = % 33.57/5.39 | | | | | | | | | all_216_4 & bst1(all_76_37) = all_216_3 & % 33.57/5.39 | | | | | | | | | gt_tree1(all_76_40, all_76_37) = all_216_1 & % 33.57/5.39 | | | | | | | | | lt_tree1(all_76_40, all_76_2) = all_216_2 & ( ~ % 33.57/5.39 | | | | | | | | | (all_216_1 = 0) | ~ (all_216_2 = 0) | ~ % 33.57/5.39 | | | | | | | | | (all_216_3 = 0) | ~ (all_216_4 = 0) | all_216_0 = % 33.57/5.39 | | | | | | | | | 0) % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | ALPHA: (240) implies: % 33.57/5.39 | | | | | | | | | (241) lt_tree1(all_76_40, all_76_2) = all_216_2 % 33.57/5.39 | | | | | | | | | (242) gt_tree1(all_76_40, all_76_37) = all_216_1 % 33.57/5.39 | | | | | | | | | (243) bst1(all_76_37) = all_216_3 % 33.57/5.39 | | | | | | | | | (244) bst1(all_76_2) = all_216_4 % 33.57/5.39 | | | | | | | | | (245) bst1(all_76_1) = all_216_0 % 33.57/5.39 | | | | | | | | | (246) ~ (all_216_1 = 0) | ~ (all_216_2 = 0) | ~ % 33.57/5.39 | | | | | | | | | (all_216_3 = 0) | ~ (all_216_4 = 0) | all_216_0 = 0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (12) with all_214_1, all_216_2, % 33.57/5.39 | | | | | | | | | all_76_2, all_76_40, simplifying with (236), (241) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (247) all_216_2 = all_214_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (12) with all_206_1, all_210_2, % 33.57/5.39 | | | | | | | | | all_76_7, all_76_6, simplifying with (211), (224) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (248) all_210_2 = all_206_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (12) with all_210_2, all_212_2, % 33.57/5.39 | | | | | | | | | all_76_7, all_76_6, simplifying with (224), (231) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (249) all_212_2 = all_210_2 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (12) with all_208_1, all_212_2, % 33.57/5.39 | | | | | | | | | all_76_7, all_76_6, simplifying with (218), (231) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (250) all_212_2 = all_208_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (13) with all_214_0, all_216_1, % 33.57/5.39 | | | | | | | | | all_76_37, all_76_40, simplifying with (237), % 33.57/5.39 | | | | | | | | | (242) gives: % 33.57/5.39 | | | | | | | | | (251) all_216_1 = all_214_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (13) with all_208_0, all_210_1, % 33.57/5.39 | | | | | | | | | all_76_4, all_76_6, simplifying with (219), (225) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (252) all_210_1 = all_208_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (13) with all_210_1, all_212_1, % 33.57/5.39 | | | | | | | | | all_76_4, all_76_6, simplifying with (225), (232) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (253) all_212_1 = all_210_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (13) with all_206_0, all_212_1, % 33.57/5.39 | | | | | | | | | all_76_4, all_76_6, simplifying with (212), (232) % 33.57/5.39 | | | | | | | | | gives: % 33.57/5.39 | | | | | | | | | (254) all_212_1 = all_206_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_206_4, all_76_41, % 33.57/5.39 | | | | | | | | | simplifying with (139), (213) gives: % 33.57/5.39 | | | | | | | | | (255) all_206_4 = 0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_202_1, all_206_4, % 33.57/5.39 | | | | | | | | | all_76_41, simplifying with (205), (213) gives: % 33.57/5.39 | | | | | | | | | (256) all_206_4 = all_202_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_202_1, all_212_0, % 33.57/5.39 | | | | | | | | | all_76_41, simplifying with (205), (233) gives: % 33.57/5.39 | | | | | | | | | (257) all_212_0 = all_202_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_200_1, all_212_0, % 33.57/5.39 | | | | | | | | | all_76_41, simplifying with (201), (233) gives: % 33.57/5.39 | | | | | | | | | (258) all_212_0 = all_200_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_216_3, all_76_37, % 33.57/5.39 | | | | | | | | | simplifying with (168), (243) gives: % 33.57/5.39 | | | | | | | | | (259) all_216_3 = 0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_200_0, all_206_3, % 33.57/5.39 | | | | | | | | | all_76_7, simplifying with (202), (214) gives: % 33.57/5.39 | | | | | | | | | (260) all_206_3 = all_200_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_206_3, all_208_3, % 33.57/5.39 | | | | | | | | | all_76_7, simplifying with (214), (220) gives: % 33.57/5.39 | | | | | | | | | (261) all_208_3 = all_206_3 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_3, all_210_4, % 33.57/5.39 | | | | | | | | | all_76_7, simplifying with (220), (226) gives: % 33.57/5.39 | | | | | | | | | (262) all_210_4 = all_208_3 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_210_4, all_212_4, % 33.57/5.39 | | | | | | | | | all_76_7, simplifying with (226), (234) gives: % 33.57/5.39 | | | | | | | | | (263) all_212_4 = all_210_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_198_0, all_212_4, % 33.57/5.39 | | | | | | | | | all_76_7, simplifying with (198), (234) gives: % 33.57/5.39 | | | | | | | | | (264) all_212_4 = all_198_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_202_0, all_208_2, % 33.57/5.39 | | | | | | | | | all_76_4, simplifying with (206), (221) gives: % 33.57/5.39 | | | | | | | | | (265) all_208_2 = all_202_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_2, all_210_3, % 33.57/5.39 | | | | | | | | | all_76_4, simplifying with (221), (227) gives: % 33.57/5.39 | | | | | | | | | (266) all_210_3 = all_208_2 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_206_2, all_210_3, % 33.57/5.39 | | | | | | | | | all_76_4, simplifying with (215), (227) gives: % 33.57/5.39 | | | | | | | | | (267) all_210_3 = all_206_2 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_4, all_210_0, % 33.57/5.39 | | | | | | | | | all_76_2, simplifying with (222), (228) gives: % 33.57/5.39 | | | | | | | | | (268) all_210_0 = all_208_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_198_1, all_210_0, % 33.57/5.39 | | | | | | | | | all_76_2, simplifying with (199), (228) gives: % 33.57/5.39 | | | | | | | | | (269) all_210_0 = all_198_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_4, all_214_3, % 33.57/5.39 | | | | | | | | | all_76_2, simplifying with (222), (238) gives: % 33.57/5.39 | | | | | | | | | (270) all_214_3 = all_208_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_204_1, all_214_3, % 33.57/5.39 | | | | | | | | | all_76_2, simplifying with (209), (238) gives: % 33.57/5.39 | | | | | | | | | (271) all_214_3 = all_204_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_214_3, all_216_4, % 33.57/5.39 | | | | | | | | | all_76_2, simplifying with (238), (244) gives: % 33.57/5.39 | | | | | | | | | (272) all_216_4 = all_214_3 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_196_0, all_216_4, % 33.57/5.39 | | | | | | | | | all_76_2, simplifying with (195), (244) gives: % 33.57/5.39 | | | | | | | | | (273) all_216_4 = all_196_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_76_0, all_214_4, % 33.57/5.39 | | | | | | | | | all_76_1, simplifying with (177), (239) gives: % 33.57/5.39 | | | | | | | | | (274) all_214_4 = all_76_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_214_4, all_216_0, % 33.57/5.39 | | | | | | | | | all_76_1, simplifying with (239), (245) gives: % 33.57/5.39 | | | | | | | | | (275) all_216_0 = all_214_4 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | GROUND_INST: instantiating (11) with all_196_1, all_216_0, % 33.57/5.39 | | | | | | | | | all_76_1, simplifying with (196), (245) gives: % 33.57/5.39 | | | | | | | | | (276) all_216_0 = all_196_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | COMBINE_EQS: (275), (276) imply: % 33.57/5.39 | | | | | | | | | (277) all_214_4 = all_196_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | SIMP: (277) implies: % 33.57/5.39 | | | | | | | | | (278) all_214_4 = all_196_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | COMBINE_EQS: (272), (273) imply: % 33.57/5.39 | | | | | | | | | (279) all_214_3 = all_196_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | SIMP: (279) implies: % 33.57/5.39 | | | | | | | | | (280) all_214_3 = all_196_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | COMBINE_EQS: (270), (271) imply: % 33.57/5.39 | | | | | | | | | (281) all_208_4 = all_204_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | SIMP: (281) implies: % 33.57/5.39 | | | | | | | | | (282) all_208_4 = all_204_1 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | COMBINE_EQS: (271), (280) imply: % 33.57/5.39 | | | | | | | | | (283) all_204_1 = all_196_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | COMBINE_EQS: (274), (278) imply: % 33.57/5.39 | | | | | | | | | (284) all_196_1 = all_76_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | SIMP: (284) implies: % 33.57/5.39 | | | | | | | | | (285) all_196_1 = all_76_0 % 33.57/5.39 | | | | | | | | | % 33.57/5.39 | | | | | | | | | COMBINE_EQS: (257), (258) imply: % 33.57/5.40 | | | | | | | | | (286) all_202_1 = all_200_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (286) implies: % 33.57/5.40 | | | | | | | | | (287) all_202_1 = all_200_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (253), (254) imply: % 33.57/5.40 | | | | | | | | | (288) all_210_1 = all_206_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (288) implies: % 33.57/5.40 | | | | | | | | | (289) all_210_1 = all_206_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (249), (250) imply: % 33.57/5.40 | | | | | | | | | (290) all_210_2 = all_208_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (290) implies: % 33.57/5.40 | | | | | | | | | (291) all_210_2 = all_208_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (263), (264) imply: % 33.57/5.40 | | | | | | | | | (292) all_210_4 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (292) implies: % 33.57/5.40 | | | | | | | | | (293) all_210_4 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (268), (269) imply: % 33.57/5.40 | | | | | | | | | (294) all_208_4 = all_198_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (294) implies: % 33.57/5.40 | | | | | | | | | (295) all_208_4 = all_198_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (252), (289) imply: % 33.57/5.40 | | | | | | | | | (296) all_208_0 = all_206_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (248), (291) imply: % 33.57/5.40 | | | | | | | | | (297) all_208_1 = all_206_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (266), (267) imply: % 33.57/5.40 | | | | | | | | | (298) all_208_2 = all_206_2 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (298) implies: % 33.57/5.40 | | | | | | | | | (299) all_208_2 = all_206_2 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (262), (293) imply: % 33.57/5.40 | | | | | | | | | (300) all_208_3 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (300) implies: % 33.57/5.40 | | | | | | | | | (301) all_208_3 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (265), (299) imply: % 33.57/5.40 | | | | | | | | | (302) all_206_2 = all_202_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (261), (301) imply: % 33.57/5.40 | | | | | | | | | (303) all_206_3 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (303) implies: % 33.57/5.40 | | | | | | | | | (304) all_206_3 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (282), (295) imply: % 33.57/5.40 | | | | | | | | | (305) all_204_1 = all_198_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (305) implies: % 33.57/5.40 | | | | | | | | | (306) all_204_1 = all_198_1 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (260), (304) imply: % 33.57/5.40 | | | | | | | | | (307) all_200_0 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (307) implies: % 33.57/5.40 | | | | | | | | | (308) all_200_0 = all_198_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (255), (256) imply: % 33.57/5.40 | | | | | | | | | (309) all_202_1 = 0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (309) implies: % 33.57/5.40 | | | | | | | | | (310) all_202_1 = 0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (283), (306) imply: % 33.57/5.40 | | | | | | | | | (311) all_198_1 = all_196_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | SIMP: (311) implies: % 33.57/5.40 | | | | | | | | | (312) all_198_1 = all_196_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (287), (310) imply: % 33.57/5.40 | | | | | | | | | (313) all_200_1 = 0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (267), (302) imply: % 33.57/5.40 | | | | | | | | | (314) all_210_3 = all_202_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (269), (312) imply: % 33.57/5.40 | | | | | | | | | (315) all_210_0 = all_196_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | COMBINE_EQS: (276), (285) imply: % 33.57/5.40 | | | | | | | | | (316) all_216_0 = all_76_0 % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | BETA: splitting (203) gives: % 33.57/5.40 | | | | | | | | | % 33.57/5.40 | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | (317) ~ (all_200_1 = 0) % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | REDUCE: (313), (317) imply: % 33.57/5.40 | | | | | | | | | | (318) $false % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | CLOSE: (318) is inconsistent. % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | (319) all_200_0 = 0 % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | COMBINE_EQS: (308), (319) imply: % 33.57/5.40 | | | | | | | | | | (320) all_198_0 = 0 % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | SIMP: (320) implies: % 33.57/5.40 | | | | | | | | | | (321) all_198_0 = 0 % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | COMBINE_EQS: (293), (321) imply: % 33.57/5.40 | | | | | | | | | | (322) all_210_4 = 0 % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | BETA: splitting (207) gives: % 33.57/5.40 | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | (323) ~ (all_202_1 = 0) % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | REDUCE: (310), (323) imply: % 33.57/5.40 | | | | | | | | | | | (324) $false % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | CLOSE: (324) is inconsistent. % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | (325) all_202_0 = 0 % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | COMBINE_EQS: (314), (325) imply: % 33.57/5.40 | | | | | | | | | | | (326) all_210_3 = 0 % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | BETA: splitting (216) gives: % 33.57/5.40 | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | (327) ~ (all_206_4 = 0) % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | REDUCE: (255), (327) imply: % 33.57/5.40 | | | | | | | | | | | | (328) $false % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | (329) all_206_0 = 0 & all_206_1 = 0 & all_206_2 = 0 & % 33.57/5.40 | | | | | | | | | | | | all_206_3 = 0 % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | ALPHA: (329) implies: % 33.57/5.40 | | | | | | | | | | | | (330) all_206_1 = 0 % 33.57/5.40 | | | | | | | | | | | | (331) all_206_0 = 0 % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | COMBINE_EQS: (248), (330) imply: % 33.57/5.40 | | | | | | | | | | | | (332) all_210_2 = 0 % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | COMBINE_EQS: (289), (331) imply: % 33.57/5.40 | | | | | | | | | | | | (333) all_210_1 = 0 % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | BETA: splitting (229) gives: % 33.57/5.40 | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | (334) ~ (all_210_1 = 0) % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | REDUCE: (333), (334) imply: % 33.57/5.40 | | | | | | | | | | | | | (335) $false % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | CLOSE: (335) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | (336) ~ (all_210_2 = 0) | ~ (all_210_3 = 0) | ~ % 33.57/5.40 | | | | | | | | | | | | | (all_210_4 = 0) | all_210_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | BETA: splitting (336) gives: % 33.57/5.40 | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | (337) ~ (all_210_2 = 0) % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | REDUCE: (332), (337) imply: % 33.57/5.40 | | | | | | | | | | | | | | (338) $false % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | CLOSE: (338) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | (339) ~ (all_210_3 = 0) | ~ (all_210_4 = 0) | % 33.57/5.40 | | | | | | | | | | | | | | all_210_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | BETA: splitting (339) gives: % 33.57/5.40 | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | (340) ~ (all_210_3 = 0) % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | REDUCE: (326), (340) imply: % 33.57/5.40 | | | | | | | | | | | | | | | (341) $false % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | CLOSE: (341) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | (342) ~ (all_210_4 = 0) | all_210_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | BETA: splitting (342) gives: % 33.57/5.40 | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | (343) ~ (all_210_4 = 0) % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | REDUCE: (322), (343) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | (344) $false % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | (345) all_210_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (345) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | (346) all_196_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | SIMP: (346) implies: % 33.57/5.40 | | | | | | | | | | | | | | | | (347) all_196_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (347) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | (348) all_216_4 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_tree_node) with all_76_40, % 33.57/5.40 | | | | | | | | | | | | | | | | all_76_6, all_76_5, all_76_7, all_76_4, black1, % 33.57/5.40 | | | | | | | | | | | | | | | | all_76_2, all_214_1, simplifying with (9), (28), % 33.57/5.40 | | | | | | | | | | | | | | | | (29), (176), (236) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | (349) all_214_1 = 0 | ~ ($lesseq(1, % 33.57/5.40 | | | | | | | | | | | | | | | | $difference(all_76_40, all_76_6))) | ? [v0: % 33.57/5.40 | | | | | | | | | | | | | | | | any] : ? [v1: any] : (lt_tree1(all_76_40, % 33.57/5.40 | | | | | | | | | | | | | | | | all_76_4) = v1 & lt_tree1(all_76_40, all_76_7) % 33.57/5.40 | | | | | | | | | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (gt_tree_node) with all_76_40, % 33.57/5.40 | | | | | | | | | | | | | | | | all_76_45, all_76_44, leaf1, all_76_43, black1, % 33.57/5.40 | | | | | | | | | | | | | | | | all_76_37, all_214_0, simplifying with (9), (18), % 33.57/5.40 | | | | | | | | | | | | | | | | (178), (179), (237) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | (350) all_214_0 = 0 | ~ ($lesseq(1, % 33.57/5.40 | | | | | | | | | | | | | | | | $difference(all_76_45, all_76_40))) | ? [v0: % 33.57/5.40 | | | | | | | | | | | | | | | | any] : ? [v1: any] : (gt_tree1(all_76_40, % 33.57/5.40 | | | | | | | | | | | | | | | | all_76_43) = v1 & gt_tree1(all_76_40, leaf1) = % 33.57/5.40 | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | BETA: splitting (349) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | (351) $lesseq(all_76_40, all_76_6) % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | COMBINE_INEQS: (180), (351) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | | (352) $false % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | CLOSE: (352) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | (353) all_214_1 = 0 | ? [v0: any] : ? [v1: any] : % 33.57/5.40 | | | | | | | | | | | | | | | | | (lt_tree1(all_76_40, all_76_4) = v1 & % 33.57/5.40 | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_7) = v0 & ( ~ (v1 = % 33.57/5.40 | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0))) % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | BETA: splitting (353) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | (354) all_214_1 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (354) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | | | (355) all_216_2 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | (356) ~ (all_216_1 = 0) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | REDUCE: (251), (356) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | (357) ~ (all_214_0 = 0) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | (358) $lesseq(all_76_45, all_76_40) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (45), (358) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | (359) $false % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | (360) all_214_0 = 0 | ? [v0: any] : ? [v1: any] : % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | (gt_tree1(all_76_40, all_76_43) = v1 & % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, leaf1) = v0 & ( ~ (v1 = 0) | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (361) all_214_0 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (361) imply: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (362) $false % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent. % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (363) ? [v0: any] : ? [v1: any] : (gt_tree1(all_76_40, % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | all_76_43) = v1 & gt_tree1(all_76_40, leaf1) = % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (363) with fresh symbols all_337_0, % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | all_337_1 gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (364) gt_tree1(all_76_40, all_76_43) = all_337_0 & % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, leaf1) = all_337_1 & ( ~ % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (all_337_0 = 0) | ~ (all_337_1 = 0)) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (365) gt_tree1(all_76_40, leaf1) = all_337_1 % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (366) gt_tree1(all_76_40, all_76_43) = all_337_0 % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (367) ~ (all_337_0 = 0) | ~ (all_337_1 = 0) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_76_40, all_337_1, % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (365) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | (368) all_337_1 = 0 % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | | (369) ~ (all_337_0 = 0) % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_76_40, all_76_43, % 33.57/5.40 | | | | | | | | | | | | | | | | | | | | | | all_337_0, simplifying with (18), (366) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (370) all_337_0 = 0 | ? [v0: int] : ? [v1: int] : % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | ($lesseq(v0, all_76_40) & memt1(all_76_43, v0, v1) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (371) all_337_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (371) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (372) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (373) ? [v0: int] : ? [v1: int] : ($lesseq(v0, % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | all_76_40) & memt1(all_76_43, v0, v1) = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (373) with fresh symbols all_391_0, % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | all_391_1 gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (374) $lesseq(all_391_1, all_76_40) & memt1(all_76_43, % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | all_391_1, all_391_0) = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (375) $lesseq(all_391_1, all_76_40) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (376) memt1(all_76_43, all_391_1, all_391_0) = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_76_45, all_76_43, % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | all_391_1, all_391_0, simplifying with (18), (33), % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (376) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (377) $lesseq(1, $difference(all_391_1, all_76_45)) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (375), (377) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (378) $lesseq(1, $difference(all_76_40, all_76_45)) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (45), (378) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | (379) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (379) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (380) ~ (all_337_1 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (380) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (381) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (381) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | (382) ~ (all_216_2 = 0) | ~ (all_216_3 = 0) | ~ % 33.57/5.41 | | | | | | | | | | | | | | | | | | | (all_216_4 = 0) | all_216_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | (383) ~ (all_216_2 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (383) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | (384) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | (385) ~ (all_216_3 = 0) | ~ (all_216_4 = 0) | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | all_216_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | (386) ~ (all_216_3 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (386) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | (387) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | CLOSE: (387) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | (388) ~ (all_216_4 = 0) | all_216_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (389) ~ (all_216_4 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (389) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (390) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (390) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (391) all_216_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (391) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (392) all_76_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (392) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | (393) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (393) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | (394) ? [v0: any] : ? [v1: any] : (lt_tree1(all_76_40, % 33.57/5.41 | | | | | | | | | | | | | | | | | | all_76_4) = v1 & lt_tree1(all_76_40, all_76_7) % 33.57/5.41 | | | | | | | | | | | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_311_0, % 33.57/5.41 | | | | | | | | | | | | | | | | | | all_311_1 gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | (395) lt_tree1(all_76_40, all_76_4) = all_311_0 & % 33.57/5.41 | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_7) = all_311_1 & ( ~ % 33.57/5.41 | | | | | | | | | | | | | | | | | | (all_311_0 = 0) | ~ (all_311_1 = 0)) % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | ALPHA: (395) implies: % 33.57/5.41 | | | | | | | | | | | | | | | | | | (396) lt_tree1(all_76_40, all_76_7) = all_311_1 % 33.57/5.41 | | | | | | | | | | | | | | | | | | (397) lt_tree1(all_76_40, all_76_4) = all_311_0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | (398) ~ (all_311_0 = 0) | ~ (all_311_1 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_311_1, all_76_7, % 33.57/5.41 | | | | | | | | | | | | | | | | | | all_76_40, simplifying with (182), (396) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | (399) all_311_1 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_311_0, all_76_4, % 33.57/5.41 | | | | | | | | | | | | | | | | | | all_76_40, simplifying with (181), (397) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | (400) all_311_0 = 0 % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives: % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | Case 1: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | (401) ~ (all_311_0 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | REDUCE: (400), (401) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | (402) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | CLOSE: (402) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | (403) ~ (all_311_1 = 0) % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | REDUCE: (399), (403) imply: % 33.57/5.41 | | | | | | | | | | | | | | | | | | | (404) $false % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | | CLOSE: (404) is inconsistent. % 33.57/5.41 | | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | | % 33.57/5.41 | | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | | % 33.57/5.41 | | | | | | | | | End of split % 33.57/5.41 | | | | | | | | | % 33.57/5.41 | | | | | | | | Case 2: % 33.57/5.41 | | | | | | | | | % 33.57/5.41 | | | | | | | | | (405) all_76_31 = all_76_38 & bst1(all_76_28) = all_76_27 & % 33.57/5.41 | | | | | | | | | node1(all_76_36, all_76_35, all_76_34, all_76_33, % 33.57/5.41 | | | | | | | | | all_76_32) = all_76_38 & node1(black1, all_76_32, % 33.57/5.41 | | | | | | | | | all_76_45, all_76_44, all_76_43) = all_76_29 & % 33.57/5.41 | | | | | | | | | node1(black1, all_76_41, all_76_40, all_76_39, % 33.57/5.41 | | | | | | | | | all_76_35) = all_76_30 & node1(red1, all_76_30, % 33.57/5.41 | | | | | | | | | all_76_34, all_76_33, all_76_29) = all_76_28 & % 33.57/5.41 | | | | | | | | | tree1(all_76_28) & tree1(all_76_29) & % 33.57/5.41 | | | | | | | | | tree1(all_76_30) & ((all_76_21 = all_76_41 & % 33.57/5.41 | | | | | | | | | all_76_26 = red1 & all_76_36 = black1 & all_76_42 % 33.57/5.41 | | | | | | | | | = red1 & ~ (all_76_18 = 0) & bst1(all_76_19) = % 33.57/5.41 | | | | | | | | | all_76_18 & node1(black1, all_76_25, all_76_24, % 33.57/5.41 | | | | | | | | | all_76_23, all_76_22) = all_76_20 & node1(red1, % 33.57/5.41 | | | | | | | | | all_76_20, all_76_40, all_76_39, all_76_37) = % 33.57/5.41 | | | | | | | | | all_76_19 & node1(red1, all_76_25, all_76_24, % 33.57/5.41 | | | | | | | | | all_76_23, all_76_22) = all_76_41 & % 33.57/5.41 | | | | | | | | | tree1(all_76_19) & tree1(all_76_20)) | (all_76_36 % 33.57/5.41 | | | | | | | | | = red1 & ((all_76_12 = all_76_41 & all_76_42 = % 33.57/5.41 | | | | | | | | | red1 & bst1(all_76_10) = all_76_9 & % 33.57/5.41 | | | | | | | | | node1(all_76_17, all_76_16, all_76_15, % 33.57/5.41 | | | | | | | | | all_76_14, all_76_13) = all_76_41 & % 33.57/5.41 | | | | | | | | | node1(black1, all_76_16, all_76_15, % 33.57/5.41 | | | | | | | | | all_76_14, all_76_13) = all_76_11 & % 33.57/5.41 | | | | | | | | | node1(red1, all_76_11, all_76_40, all_76_39, % 33.57/5.41 | | | | | | | | | all_76_37) = all_76_10 & tree1(all_76_10) & % 33.57/5.41 | | | | | | | | | tree1(all_76_11) & ((all_76_17 = black1 & ~ % 33.57/5.41 | | | | | | | | | (all_76_27 = 0)) | (all_76_17 = red1 & ~ % 33.57/5.41 | | | | | | | | | (all_76_9 = 0)))) | (all_76_41 = leaf1 & % 33.57/5.41 | | | | | | | | | all_76_42 = red1 & ~ (all_76_27 = 0))))) % 33.57/5.41 | | | | | | | | | % 33.57/5.41 | | | | | | | | | ALPHA: (405) implies: % 33.57/5.41 | | | | | | | | | (406) tree1(all_76_30) % 33.57/5.41 | | | | | | | | | (407) tree1(all_76_29) % 33.57/5.41 | | | | | | | | | (408) node1(red1, all_76_30, all_76_34, all_76_33, % 33.57/5.41 | | | | | | | | | all_76_29) = all_76_28 % 33.57/5.41 | | | | | | | | | (409) node1(black1, all_76_41, all_76_40, all_76_39, % 33.57/5.41 | | | | | | | | | all_76_35) = all_76_30 % 33.57/5.41 | | | | | | | | | (410) node1(black1, all_76_32, all_76_45, all_76_44, % 33.57/5.41 | | | | | | | | | all_76_43) = all_76_29 % 33.57/5.41 | | | | | | | | | (411) node1(all_76_36, all_76_35, all_76_34, all_76_33, % 33.57/5.41 | | | | | | | | | all_76_32) = all_76_38 % 33.57/5.41 | | | | | | | | | (412) bst1(all_76_28) = all_76_27 % 33.57/5.41 | | | | | | | | | (413) (all_76_21 = all_76_41 & all_76_26 = red1 & all_76_36 % 33.57/5.41 | | | | | | | | | = black1 & all_76_42 = red1 & ~ (all_76_18 = 0) & % 33.57/5.41 | | | | | | | | | bst1(all_76_19) = all_76_18 & node1(black1, % 33.57/5.41 | | | | | | | | | all_76_25, all_76_24, all_76_23, all_76_22) = % 33.57/5.41 | | | | | | | | | all_76_20 & node1(red1, all_76_20, all_76_40, % 33.57/5.41 | | | | | | | | | all_76_39, all_76_37) = all_76_19 & node1(red1, % 33.57/5.41 | | | | | | | | | all_76_25, all_76_24, all_76_23, all_76_22) = % 33.57/5.41 | | | | | | | | | all_76_41 & tree1(all_76_19) & tree1(all_76_20)) | % 33.57/5.41 | | | | | | | | | (all_76_36 = red1 & ((all_76_12 = all_76_41 & % 33.57/5.41 | | | | | | | | | all_76_42 = red1 & bst1(all_76_10) = all_76_9 & % 33.57/5.41 | | | | | | | | | node1(all_76_17, all_76_16, all_76_15, % 33.57/5.41 | | | | | | | | | all_76_14, all_76_13) = all_76_41 & % 33.57/5.41 | | | | | | | | | node1(black1, all_76_16, all_76_15, all_76_14, % 33.57/5.41 | | | | | | | | | all_76_13) = all_76_11 & node1(red1, % 33.57/5.41 | | | | | | | | | all_76_11, all_76_40, all_76_39, all_76_37) = % 33.57/5.41 | | | | | | | | | all_76_10 & tree1(all_76_10) & tree1(all_76_11) % 33.57/5.41 | | | | | | | | | & ((all_76_17 = black1 & ~ (all_76_27 = 0)) | % 33.57/5.41 | | | | | | | | | (all_76_17 = red1 & ~ (all_76_9 = 0)))) | % 33.57/5.41 | | | | | | | | | (all_76_41 = leaf1 & all_76_42 = red1 & ~ % 33.57/5.41 | | | | | | | | | (all_76_27 = 0)))) % 33.57/5.41 | | | | | | | | | % 33.57/5.41 | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_34, % 33.57/5.41 | | | | | | | | | all_76_33, all_76_30, all_76_29, red1, all_76_28, % 33.57/5.41 | | | | | | | | | simplifying with (8), (406), (407), (408) gives: % 33.57/5.42 | | | | | | | | | (414) ? [v0: any] : ? [v1: any] : (bst1(all_76_28) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_29) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_34, % 33.57/5.42 | | | | | | | | | all_76_33, all_76_30, all_76_29, red1, all_76_28, % 33.57/5.42 | | | | | | | | | simplifying with (8), (406), (407), (408) gives: % 33.57/5.42 | | | | | | | | | (415) ? [v0: any] : ? [v1: any] : (bst1(all_76_28) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_30) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_30, all_76_34, % 33.57/5.42 | | | | | | | | | all_76_33, all_76_29, all_76_28, simplifying with % 33.57/5.42 | | | | | | | | | (8), (406), (407), (408) gives: % 33.57/5.42 | | | | | | | | | (416) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_28) = v4 & % 33.57/5.42 | | | | | | | | | bst1(all_76_29) = v1 & bst1(all_76_30) = v0 & % 33.57/5.42 | | | | | | | | | gt_tree1(all_76_34, all_76_29) = v3 & % 33.57/5.42 | | | | | | | | | lt_tree1(all_76_34, all_76_30) = v2 & ( ~ (v3 = 0) % 33.57/5.42 | | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 33.57/5.42 | | | | | | | | | 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_30, all_76_34, % 33.57/5.42 | | | | | | | | | all_76_33, all_76_29, all_76_28, simplifying with % 33.57/5.42 | | | | | | | | | (8), (406), (407), (408) gives: % 33.57/5.42 | | | | | | | | | (417) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_28) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_29) = v2 & bst1(all_76_30) = v1 & % 33.57/5.42 | | | | | | | | | gt_tree1(all_76_34, all_76_29) = v4 & % 33.57/5.42 | | | | | | | | | lt_tree1(all_76_34, all_76_30) = v3 & ( ~ (v0 = 0) % 33.57/5.42 | | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_40, % 33.57/5.42 | | | | | | | | | all_76_39, all_76_41, all_76_35, black1, % 33.57/5.42 | | | | | | | | | all_76_30, simplifying with (9), (19), (22), (409) % 33.57/5.42 | | | | | | | | | gives: % 33.57/5.42 | | | | | | | | | (418) ? [v0: any] : ? [v1: any] : (bst1(all_76_30) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_35) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_40, % 33.57/5.42 | | | | | | | | | all_76_39, all_76_41, all_76_35, black1, % 33.57/5.42 | | | | | | | | | all_76_30, simplifying with (9), (19), (22), (409) % 33.57/5.42 | | | | | | | | | gives: % 33.57/5.42 | | | | | | | | | (419) ? [v0: any] : ? [v1: any] : (bst1(all_76_30) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_41) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (7) with black1, all_76_41, % 33.57/5.42 | | | | | | | | | all_76_40, all_76_39, all_76_35, all_76_30, % 33.57/5.42 | | | | | | | | | simplifying with (9), (19), (22), (409) gives: % 33.57/5.42 | | | | | | | | | (420) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_30) = v4 & % 33.57/5.42 | | | | | | | | | bst1(all_76_35) = v1 & bst1(all_76_41) = v0 & % 33.57/5.42 | | | | | | | | | gt_tree1(all_76_40, all_76_35) = v3 & % 33.57/5.42 | | | | | | | | | lt_tree1(all_76_40, all_76_41) = v2 & ( ~ (v3 = 0) % 33.57/5.42 | | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 33.57/5.42 | | | | | | | | | 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (6) with black1, all_76_41, % 33.57/5.42 | | | | | | | | | all_76_40, all_76_39, all_76_35, all_76_30, % 33.57/5.42 | | | | | | | | | simplifying with (9), (19), (22), (409) gives: % 33.57/5.42 | | | | | | | | | (421) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_30) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_35) = v2 & bst1(all_76_41) = v1 & % 33.57/5.42 | | | | | | | | | gt_tree1(all_76_40, all_76_35) = v4 & % 33.57/5.42 | | | | | | | | | lt_tree1(all_76_40, all_76_41) = v3 & ( ~ (v0 = 0) % 33.57/5.42 | | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_45, % 33.57/5.42 | | | | | | | | | all_76_44, all_76_32, all_76_43, black1, % 33.57/5.42 | | | | | | | | | all_76_29, simplifying with (9), (18), (23), (410) % 33.57/5.42 | | | | | | | | | gives: % 33.57/5.42 | | | | | | | | | (422) ? [v0: any] : ? [v1: any] : (bst1(all_76_29) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_43) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_45, % 33.57/5.42 | | | | | | | | | all_76_44, all_76_32, all_76_43, black1, % 33.57/5.42 | | | | | | | | | all_76_29, simplifying with (9), (18), (23), (410) % 33.57/5.42 | | | | | | | | | gives: % 33.57/5.42 | | | | | | | | | (423) ? [v0: any] : ? [v1: any] : (bst1(all_76_29) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_32) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (7) with black1, all_76_32, % 33.57/5.42 | | | | | | | | | all_76_45, all_76_44, all_76_43, all_76_29, % 33.57/5.42 | | | | | | | | | simplifying with (9), (18), (23), (410) gives: % 33.57/5.42 | | | | | | | | | (424) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_29) = v4 & % 33.57/5.42 | | | | | | | | | bst1(all_76_32) = v0 & bst1(all_76_43) = v1 & % 33.57/5.42 | | | | | | | | | gt_tree1(all_76_45, all_76_43) = v3 & % 33.57/5.42 | | | | | | | | | lt_tree1(all_76_45, all_76_32) = v2 & ( ~ (v3 = 0) % 33.57/5.42 | | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 33.57/5.42 | | | | | | | | | 0)) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (6) with black1, all_76_32, % 33.57/5.42 | | | | | | | | | all_76_45, all_76_44, all_76_43, all_76_29, % 33.57/5.42 | | | | | | | | | simplifying with (9), (18), (23), (410) gives: % 33.57/5.42 | | | | | | | | | (425) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.57/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_29) = v0 & % 33.57/5.42 | | | | | | | | | bst1(all_76_32) = v1 & bst1(all_76_43) = v2 & % 33.57/5.42 | | | | | | | | | gt_tree1(all_76_45, all_76_43) = v4 & % 33.57/5.42 | | | | | | | | | lt_tree1(all_76_45, all_76_32) = v3 & ( ~ (v0 = 0) % 33.57/5.42 | | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.57/5.42 | | | | | | | | | % 33.57/5.42 | | | | | | | | | GROUND_INST: instantiating (lt_node_lt) with all_76_45, % 33.57/5.42 | | | | | | | | | all_76_34, all_76_33, all_76_35, all_76_32, % 33.57/5.42 | | | | | | | | | all_76_36, all_76_38, simplifying with (16), (22), % 33.57/5.42 | | | | | | | | | (23), (46), (411) gives: % 33.99/5.42 | | | | | | | | | (426) $lesseq(1, $difference(all_76_45, all_76_34)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (lt_right) with all_76_45, % 33.99/5.42 | | | | | | | | | all_76_34, all_76_33, all_76_35, all_76_32, % 33.99/5.42 | | | | | | | | | all_76_36, all_76_38, simplifying with (16), (22), % 33.99/5.42 | | | | | | | | | (23), (46), (411) gives: % 33.99/5.42 | | | | | | | | | (427) lt_tree1(all_76_45, all_76_32) = 0 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (gt_node_gt) with all_76_40, % 33.99/5.42 | | | | | | | | | all_76_34, all_76_33, all_76_35, all_76_32, % 33.99/5.42 | | | | | | | | | all_76_36, all_76_38, simplifying with (16), (22), % 33.99/5.42 | | | | | | | | | (23), (153), (411) gives: % 33.99/5.42 | | | | | | | | | (428) $lesseq(1, $difference(all_76_34, all_76_40)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (gt_left) with all_76_40, all_76_34, % 33.99/5.42 | | | | | | | | | all_76_33, all_76_35, all_76_32, all_76_36, % 33.99/5.42 | | | | | | | | | all_76_38, simplifying with (16), (22), (23), % 33.99/5.42 | | | | | | | | | (153), (411) gives: % 33.99/5.42 | | | | | | | | | (429) gt_tree1(all_76_40, all_76_35) = 0 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_34, % 33.99/5.42 | | | | | | | | | all_76_33, all_76_35, all_76_32, all_76_36, % 33.99/5.42 | | | | | | | | | all_76_38, simplifying with (16), (22), (23), % 33.99/5.42 | | | | | | | | | (411) gives: % 33.99/5.42 | | | | | | | | | (430) ? [v0: any] : ? [v1: any] : (bst1(all_76_32) = v1 & % 33.99/5.42 | | | | | | | | | bst1(all_76_38) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_34, % 33.99/5.42 | | | | | | | | | all_76_33, all_76_35, all_76_32, all_76_36, % 33.99/5.42 | | | | | | | | | all_76_38, simplifying with (16), (22), (23), % 33.99/5.42 | | | | | | | | | (411) gives: % 33.99/5.42 | | | | | | | | | (431) ? [v0: any] : ? [v1: any] : (bst1(all_76_35) = v1 & % 33.99/5.42 | | | | | | | | | bst1(all_76_38) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (7) with all_76_36, all_76_35, % 33.99/5.42 | | | | | | | | | all_76_34, all_76_33, all_76_32, all_76_38, % 33.99/5.42 | | | | | | | | | simplifying with (16), (22), (23), (411) gives: % 33.99/5.42 | | | | | | | | | (432) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.99/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_32) = v1 & % 33.99/5.42 | | | | | | | | | bst1(all_76_35) = v0 & bst1(all_76_38) = v4 & % 33.99/5.42 | | | | | | | | | gt_tree1(all_76_34, all_76_32) = v3 & % 33.99/5.42 | | | | | | | | | lt_tree1(all_76_34, all_76_35) = v2 & ( ~ (v3 = 0) % 33.99/5.42 | | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 33.99/5.42 | | | | | | | | | 0)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | GROUND_INST: instantiating (6) with all_76_36, all_76_35, % 33.99/5.42 | | | | | | | | | all_76_34, all_76_33, all_76_32, all_76_38, % 33.99/5.42 | | | | | | | | | simplifying with (16), (22), (23), (411) gives: % 33.99/5.42 | | | | | | | | | (433) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 33.99/5.42 | | | | | | | | | any] : ? [v4: any] : (bst1(all_76_32) = v2 & % 33.99/5.42 | | | | | | | | | bst1(all_76_35) = v1 & bst1(all_76_38) = v0 & % 33.99/5.42 | | | | | | | | | gt_tree1(all_76_34, all_76_32) = v4 & % 33.99/5.42 | | | | | | | | | lt_tree1(all_76_34, all_76_35) = v3 & ( ~ (v0 = 0) % 33.99/5.42 | | | | | | | | | | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | COMBINE_INEQS: (426), (428) imply: % 33.99/5.42 | | | | | | | | | (434) $lesseq(2, $difference(all_76_45, all_76_40)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (414) with fresh symbols all_192_0, % 33.99/5.42 | | | | | | | | | all_192_1 gives: % 33.99/5.42 | | | | | | | | | (435) bst1(all_76_28) = all_192_1 & bst1(all_76_29) = % 33.99/5.42 | | | | | | | | | all_192_0 & ( ~ (all_192_1 = 0) | all_192_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (435) implies: % 33.99/5.42 | | | | | | | | | (436) bst1(all_76_29) = all_192_0 % 33.99/5.42 | | | | | | | | | (437) bst1(all_76_28) = all_192_1 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (431) with fresh symbols all_194_0, % 33.99/5.42 | | | | | | | | | all_194_1 gives: % 33.99/5.42 | | | | | | | | | (438) bst1(all_76_35) = all_194_0 & bst1(all_76_38) = % 33.99/5.42 | | | | | | | | | all_194_1 & ( ~ (all_194_1 = 0) | all_194_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (438) implies: % 33.99/5.42 | | | | | | | | | (439) bst1(all_76_35) = all_194_0 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (430) with fresh symbols all_196_0, % 33.99/5.42 | | | | | | | | | all_196_1 gives: % 33.99/5.42 | | | | | | | | | (440) bst1(all_76_32) = all_196_0 & bst1(all_76_38) = % 33.99/5.42 | | | | | | | | | all_196_1 & ( ~ (all_196_1 = 0) | all_196_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (440) implies: % 33.99/5.42 | | | | | | | | | (441) bst1(all_76_32) = all_196_0 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (423) with fresh symbols all_198_0, % 33.99/5.42 | | | | | | | | | all_198_1 gives: % 33.99/5.42 | | | | | | | | | (442) bst1(all_76_29) = all_198_1 & bst1(all_76_32) = % 33.99/5.42 | | | | | | | | | all_198_0 & ( ~ (all_198_1 = 0) | all_198_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (442) implies: % 33.99/5.42 | | | | | | | | | (443) bst1(all_76_32) = all_198_0 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (418) with fresh symbols all_200_0, % 33.99/5.42 | | | | | | | | | all_200_1 gives: % 33.99/5.42 | | | | | | | | | (444) bst1(all_76_30) = all_200_1 & bst1(all_76_35) = % 33.99/5.42 | | | | | | | | | all_200_0 & ( ~ (all_200_1 = 0) | all_200_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (444) implies: % 33.99/5.42 | | | | | | | | | (445) bst1(all_76_30) = all_200_1 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (419) with fresh symbols all_202_0, % 33.99/5.42 | | | | | | | | | all_202_1 gives: % 33.99/5.42 | | | | | | | | | (446) bst1(all_76_30) = all_202_1 & bst1(all_76_41) = % 33.99/5.42 | | | | | | | | | all_202_0 & ( ~ (all_202_1 = 0) | all_202_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (446) implies: % 33.99/5.42 | | | | | | | | | (447) bst1(all_76_41) = all_202_0 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (415) with fresh symbols all_204_0, % 33.99/5.42 | | | | | | | | | all_204_1 gives: % 33.99/5.42 | | | | | | | | | (448) bst1(all_76_28) = all_204_1 & bst1(all_76_30) = % 33.99/5.42 | | | | | | | | | all_204_0 & ( ~ (all_204_1 = 0) | all_204_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (448) implies: % 33.99/5.42 | | | | | | | | | (449) bst1(all_76_30) = all_204_0 % 33.99/5.42 | | | | | | | | | (450) bst1(all_76_28) = all_204_1 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (422) with fresh symbols all_206_0, % 33.99/5.42 | | | | | | | | | all_206_1 gives: % 33.99/5.42 | | | | | | | | | (451) bst1(all_76_29) = all_206_1 & bst1(all_76_43) = % 33.99/5.42 | | | | | | | | | all_206_0 & ( ~ (all_206_1 = 0) | all_206_0 = 0) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (451) implies: % 33.99/5.42 | | | | | | | | | (452) bst1(all_76_43) = all_206_0 % 33.99/5.42 | | | | | | | | | (453) bst1(all_76_29) = all_206_1 % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | DELTA: instantiating (417) with fresh symbols all_208_0, % 33.99/5.42 | | | | | | | | | all_208_1, all_208_2, all_208_3, all_208_4 gives: % 33.99/5.42 | | | | | | | | | (454) bst1(all_76_28) = all_208_4 & bst1(all_76_29) = % 33.99/5.42 | | | | | | | | | all_208_2 & bst1(all_76_30) = all_208_3 & % 33.99/5.42 | | | | | | | | | gt_tree1(all_76_34, all_76_29) = all_208_0 & % 33.99/5.42 | | | | | | | | | lt_tree1(all_76_34, all_76_30) = all_208_1 & ( ~ % 33.99/5.42 | | | | | | | | | (all_208_4 = 0) | (all_208_0 = 0 & all_208_1 = 0 & % 33.99/5.42 | | | | | | | | | all_208_2 = 0 & all_208_3 = 0)) % 33.99/5.42 | | | | | | | | | % 33.99/5.42 | | | | | | | | | ALPHA: (454) implies: % 33.99/5.42 | | | | | | | | | (455) lt_tree1(all_76_34, all_76_30) = all_208_1 % 33.99/5.42 | | | | | | | | | (456) gt_tree1(all_76_34, all_76_29) = all_208_0 % 33.99/5.42 | | | | | | | | | (457) bst1(all_76_30) = all_208_3 % 33.99/5.42 | | | | | | | | | (458) bst1(all_76_29) = all_208_2 % 33.99/5.42 | | | | | | | | | (459) bst1(all_76_28) = all_208_4 % 33.99/5.43 | | | | | | | | | (460) ~ (all_208_4 = 0) | (all_208_0 = 0 & all_208_1 = 0 & % 33.99/5.43 | | | | | | | | | all_208_2 = 0 & all_208_3 = 0) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (416) with fresh symbols all_210_0, % 33.99/5.43 | | | | | | | | | all_210_1, all_210_2, all_210_3, all_210_4 gives: % 33.99/5.43 | | | | | | | | | (461) bst1(all_76_28) = all_210_0 & bst1(all_76_29) = % 33.99/5.43 | | | | | | | | | all_210_3 & bst1(all_76_30) = all_210_4 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_34, all_76_29) = all_210_1 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_34, all_76_30) = all_210_2 & ( ~ % 33.99/5.43 | | | | | | | | | (all_210_1 = 0) | ~ (all_210_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_210_3 = 0) | ~ (all_210_4 = 0) | all_210_0 = % 33.99/5.43 | | | | | | | | | 0) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (461) implies: % 33.99/5.43 | | | | | | | | | (462) lt_tree1(all_76_34, all_76_30) = all_210_2 % 33.99/5.43 | | | | | | | | | (463) gt_tree1(all_76_34, all_76_29) = all_210_1 % 33.99/5.43 | | | | | | | | | (464) bst1(all_76_30) = all_210_4 % 33.99/5.43 | | | | | | | | | (465) bst1(all_76_29) = all_210_3 % 33.99/5.43 | | | | | | | | | (466) bst1(all_76_28) = all_210_0 % 33.99/5.43 | | | | | | | | | (467) ~ (all_210_1 = 0) | ~ (all_210_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_210_3 = 0) | ~ (all_210_4 = 0) | all_210_0 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (425) with fresh symbols all_212_0, % 33.99/5.43 | | | | | | | | | all_212_1, all_212_2, all_212_3, all_212_4 gives: % 33.99/5.43 | | | | | | | | | (468) bst1(all_76_29) = all_212_4 & bst1(all_76_32) = % 33.99/5.43 | | | | | | | | | all_212_3 & bst1(all_76_43) = all_212_2 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_45, all_76_43) = all_212_0 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_45, all_76_32) = all_212_1 & ( ~ % 33.99/5.43 | | | | | | | | | (all_212_4 = 0) | (all_212_0 = 0 & all_212_1 = 0 & % 33.99/5.43 | | | | | | | | | all_212_2 = 0 & all_212_3 = 0)) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (468) implies: % 33.99/5.43 | | | | | | | | | (469) gt_tree1(all_76_45, all_76_43) = all_212_0 % 33.99/5.43 | | | | | | | | | (470) bst1(all_76_43) = all_212_2 % 33.99/5.43 | | | | | | | | | (471) bst1(all_76_32) = all_212_3 % 33.99/5.43 | | | | | | | | | (472) bst1(all_76_29) = all_212_4 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (421) with fresh symbols all_214_0, % 33.99/5.43 | | | | | | | | | all_214_1, all_214_2, all_214_3, all_214_4 gives: % 33.99/5.43 | | | | | | | | | (473) bst1(all_76_30) = all_214_4 & bst1(all_76_35) = % 33.99/5.43 | | | | | | | | | all_214_2 & bst1(all_76_41) = all_214_3 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_40, all_76_35) = all_214_0 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_40, all_76_41) = all_214_1 & ( ~ % 33.99/5.43 | | | | | | | | | (all_214_4 = 0) | (all_214_0 = 0 & all_214_1 = 0 & % 33.99/5.43 | | | | | | | | | all_214_2 = 0 & all_214_3 = 0)) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (473) implies: % 33.99/5.43 | | | | | | | | | (474) lt_tree1(all_76_40, all_76_41) = all_214_1 % 33.99/5.43 | | | | | | | | | (475) bst1(all_76_41) = all_214_3 % 33.99/5.43 | | | | | | | | | (476) bst1(all_76_30) = all_214_4 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (420) with fresh symbols all_216_0, % 33.99/5.43 | | | | | | | | | all_216_1, all_216_2, all_216_3, all_216_4 gives: % 33.99/5.43 | | | | | | | | | (477) bst1(all_76_30) = all_216_0 & bst1(all_76_35) = % 33.99/5.43 | | | | | | | | | all_216_3 & bst1(all_76_41) = all_216_4 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_40, all_76_35) = all_216_1 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_40, all_76_41) = all_216_2 & ( ~ % 33.99/5.43 | | | | | | | | | (all_216_1 = 0) | ~ (all_216_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_216_3 = 0) | ~ (all_216_4 = 0) | all_216_0 = % 33.99/5.43 | | | | | | | | | 0) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (477) implies: % 33.99/5.43 | | | | | | | | | (478) lt_tree1(all_76_40, all_76_41) = all_216_2 % 33.99/5.43 | | | | | | | | | (479) gt_tree1(all_76_40, all_76_35) = all_216_1 % 33.99/5.43 | | | | | | | | | (480) bst1(all_76_41) = all_216_4 % 33.99/5.43 | | | | | | | | | (481) bst1(all_76_35) = all_216_3 % 33.99/5.43 | | | | | | | | | (482) bst1(all_76_30) = all_216_0 % 33.99/5.43 | | | | | | | | | (483) ~ (all_216_1 = 0) | ~ (all_216_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_216_3 = 0) | ~ (all_216_4 = 0) | all_216_0 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (424) with fresh symbols all_218_0, % 33.99/5.43 | | | | | | | | | all_218_1, all_218_2, all_218_3, all_218_4 gives: % 33.99/5.43 | | | | | | | | | (484) bst1(all_76_29) = all_218_0 & bst1(all_76_32) = % 33.99/5.43 | | | | | | | | | all_218_4 & bst1(all_76_43) = all_218_3 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_45, all_76_43) = all_218_1 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_45, all_76_32) = all_218_2 & ( ~ % 33.99/5.43 | | | | | | | | | (all_218_1 = 0) | ~ (all_218_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_218_3 = 0) | ~ (all_218_4 = 0) | all_218_0 = % 33.99/5.43 | | | | | | | | | 0) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (484) implies: % 33.99/5.43 | | | | | | | | | (485) lt_tree1(all_76_45, all_76_32) = all_218_2 % 33.99/5.43 | | | | | | | | | (486) gt_tree1(all_76_45, all_76_43) = all_218_1 % 33.99/5.43 | | | | | | | | | (487) bst1(all_76_43) = all_218_3 % 33.99/5.43 | | | | | | | | | (488) bst1(all_76_32) = all_218_4 % 33.99/5.43 | | | | | | | | | (489) bst1(all_76_29) = all_218_0 % 33.99/5.43 | | | | | | | | | (490) ~ (all_218_1 = 0) | ~ (all_218_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_218_3 = 0) | ~ (all_218_4 = 0) | all_218_0 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (433) with fresh symbols all_220_0, % 33.99/5.43 | | | | | | | | | all_220_1, all_220_2, all_220_3, all_220_4 gives: % 33.99/5.43 | | | | | | | | | (491) bst1(all_76_32) = all_220_2 & bst1(all_76_35) = % 33.99/5.43 | | | | | | | | | all_220_3 & bst1(all_76_38) = all_220_4 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_34, all_76_32) = all_220_0 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_34, all_76_35) = all_220_1 & ( ~ % 33.99/5.43 | | | | | | | | | (all_220_4 = 0) | (all_220_0 = 0 & all_220_1 = 0 & % 33.99/5.43 | | | | | | | | | all_220_2 = 0 & all_220_3 = 0)) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (491) implies: % 33.99/5.43 | | | | | | | | | (492) lt_tree1(all_76_34, all_76_35) = all_220_1 % 33.99/5.43 | | | | | | | | | (493) gt_tree1(all_76_34, all_76_32) = all_220_0 % 33.99/5.43 | | | | | | | | | (494) bst1(all_76_38) = all_220_4 % 33.99/5.43 | | | | | | | | | (495) bst1(all_76_35) = all_220_3 % 33.99/5.43 | | | | | | | | | (496) bst1(all_76_32) = all_220_2 % 33.99/5.43 | | | | | | | | | (497) ~ (all_220_4 = 0) | (all_220_0 = 0 & all_220_1 = 0 & % 33.99/5.43 | | | | | | | | | all_220_2 = 0 & all_220_3 = 0) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | DELTA: instantiating (432) with fresh symbols all_222_0, % 33.99/5.43 | | | | | | | | | all_222_1, all_222_2, all_222_3, all_222_4 gives: % 33.99/5.43 | | | | | | | | | (498) bst1(all_76_32) = all_222_3 & bst1(all_76_35) = % 33.99/5.43 | | | | | | | | | all_222_4 & bst1(all_76_38) = all_222_0 & % 33.99/5.43 | | | | | | | | | gt_tree1(all_76_34, all_76_32) = all_222_1 & % 33.99/5.43 | | | | | | | | | lt_tree1(all_76_34, all_76_35) = all_222_2 & ( ~ % 33.99/5.43 | | | | | | | | | (all_222_1 = 0) | ~ (all_222_2 = 0) | ~ % 33.99/5.43 | | | | | | | | | (all_222_3 = 0) | ~ (all_222_4 = 0) | all_222_0 = % 33.99/5.43 | | | | | | | | | 0) % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | ALPHA: (498) implies: % 33.99/5.43 | | | | | | | | | (499) lt_tree1(all_76_34, all_76_35) = all_222_2 % 33.99/5.43 | | | | | | | | | (500) gt_tree1(all_76_34, all_76_32) = all_222_1 % 33.99/5.43 | | | | | | | | | (501) bst1(all_76_32) = all_222_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_218_2, all_76_32, % 33.99/5.43 | | | | | | | | | all_76_45, simplifying with (427), (485) gives: % 33.99/5.43 | | | | | | | | | (502) all_218_2 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_216_2, all_76_41, % 33.99/5.43 | | | | | | | | | all_76_40, simplifying with (154), (478) gives: % 33.99/5.43 | | | | | | | | | (503) all_216_2 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (12) with all_214_1, all_216_2, % 33.99/5.43 | | | | | | | | | all_76_41, all_76_40, simplifying with (474), % 33.99/5.43 | | | | | | | | | (478) gives: % 33.99/5.43 | | | | | | | | | (504) all_216_2 = all_214_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (12) with all_220_1, all_222_2, % 33.99/5.43 | | | | | | | | | all_76_35, all_76_34, simplifying with (492), % 33.99/5.43 | | | | | | | | | (499) gives: % 33.99/5.43 | | | | | | | | | (505) all_222_2 = all_220_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (12) with all_208_1, all_210_2, % 33.99/5.43 | | | | | | | | | all_76_30, all_76_34, simplifying with (455), % 33.99/5.43 | | | | | | | | | (462) gives: % 33.99/5.43 | | | | | | | | | (506) all_210_2 = all_208_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (13) with 0, all_218_1, all_76_43, % 33.99/5.43 | | | | | | | | | all_76_45, simplifying with (33), (486) gives: % 33.99/5.43 | | | | | | | | | (507) all_218_1 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (13) with all_212_0, all_218_1, % 33.99/5.43 | | | | | | | | | all_76_43, all_76_45, simplifying with (469), % 33.99/5.43 | | | | | | | | | (486) gives: % 33.99/5.43 | | | | | | | | | (508) all_218_1 = all_212_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (13) with 0, all_216_1, all_76_35, % 33.99/5.43 | | | | | | | | | all_76_40, simplifying with (429), (479) gives: % 33.99/5.43 | | | | | | | | | (509) all_216_1 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (13) with all_220_0, all_222_1, % 33.99/5.43 | | | | | | | | | all_76_32, all_76_34, simplifying with (493), % 33.99/5.43 | | | | | | | | | (500) gives: % 33.99/5.43 | | | | | | | | | (510) all_222_1 = all_220_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (13) with all_208_0, all_210_1, % 33.99/5.43 | | | | | | | | | all_76_29, all_76_34, simplifying with (456), % 33.99/5.43 | | | | | | | | | (463) gives: % 33.99/5.43 | | | | | | | | | (511) all_210_1 = all_208_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_212_2, all_76_43, % 33.99/5.43 | | | | | | | | | simplifying with (35), (470) gives: % 33.99/5.43 | | | | | | | | | (512) all_212_2 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_212_2, all_218_3, % 33.99/5.43 | | | | | | | | | all_76_43, simplifying with (470), (487) gives: % 33.99/5.43 | | | | | | | | | (513) all_218_3 = all_212_2 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_206_0, all_218_3, % 33.99/5.43 | | | | | | | | | all_76_43, simplifying with (452), (487) gives: % 33.99/5.43 | | | | | | | | | (514) all_218_3 = all_206_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_214_3, all_76_41, % 33.99/5.43 | | | | | | | | | simplifying with (139), (475) gives: % 33.99/5.43 | | | | | | | | | (515) all_214_3 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_214_3, all_216_4, % 33.99/5.43 | | | | | | | | | all_76_41, simplifying with (475), (480) gives: % 33.99/5.43 | | | | | | | | | (516) all_216_4 = all_214_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_202_0, all_216_4, % 33.99/5.43 | | | | | | | | | all_76_41, simplifying with (447), (480) gives: % 33.99/5.43 | | | | | | | | | (517) all_216_4 = all_202_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_220_4, all_76_38, % 33.99/5.43 | | | | | | | | | simplifying with (144), (494) gives: % 33.99/5.43 | | | | | | | | | (518) all_220_4 = 0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_216_3, all_220_3, % 33.99/5.43 | | | | | | | | | all_76_35, simplifying with (481), (495) gives: % 33.99/5.43 | | | | | | | | | (519) all_220_3 = all_216_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_194_0, all_220_3, % 33.99/5.43 | | | | | | | | | all_76_35, simplifying with (439), (495) gives: % 33.99/5.43 | | | | | | | | | (520) all_220_3 = all_194_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_212_3, all_218_4, % 33.99/5.43 | | | | | | | | | all_76_32, simplifying with (471), (488) gives: % 33.99/5.43 | | | | | | | | | (521) all_218_4 = all_212_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_212_3, all_220_2, % 33.99/5.43 | | | | | | | | | all_76_32, simplifying with (471), (496) gives: % 33.99/5.43 | | | | | | | | | (522) all_220_2 = all_212_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_198_0, all_220_2, % 33.99/5.43 | | | | | | | | | all_76_32, simplifying with (443), (496) gives: % 33.99/5.43 | | | | | | | | | (523) all_220_2 = all_198_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_218_4, all_222_3, % 33.99/5.43 | | | | | | | | | all_76_32, simplifying with (488), (501) gives: % 33.99/5.43 | | | | | | | | | (524) all_222_3 = all_218_4 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_196_0, all_222_3, % 33.99/5.43 | | | | | | | | | all_76_32, simplifying with (441), (501) gives: % 33.99/5.43 | | | | | | | | | (525) all_222_3 = all_196_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_200_1, all_210_4, % 33.99/5.43 | | | | | | | | | all_76_30, simplifying with (445), (464) gives: % 33.99/5.43 | | | | | | | | | (526) all_210_4 = all_200_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_210_4, all_214_4, % 33.99/5.43 | | | | | | | | | all_76_30, simplifying with (464), (476) gives: % 33.99/5.43 | | | | | | | | | (527) all_214_4 = all_210_4 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_204_0, all_214_4, % 33.99/5.43 | | | | | | | | | all_76_30, simplifying with (449), (476) gives: % 33.99/5.43 | | | | | | | | | (528) all_214_4 = all_204_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_210_4, all_216_0, % 33.99/5.43 | | | | | | | | | all_76_30, simplifying with (464), (482) gives: % 33.99/5.43 | | | | | | | | | (529) all_216_0 = all_210_4 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_3, all_216_0, % 33.99/5.43 | | | | | | | | | all_76_30, simplifying with (457), (482) gives: % 33.99/5.43 | | | | | | | | | (530) all_216_0 = all_208_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_2, all_210_3, % 33.99/5.43 | | | | | | | | | all_76_29, simplifying with (458), (465) gives: % 33.99/5.43 | | | | | | | | | (531) all_210_3 = all_208_2 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_210_3, all_212_4, % 33.99/5.43 | | | | | | | | | all_76_29, simplifying with (465), (472) gives: % 33.99/5.43 | | | | | | | | | (532) all_212_4 = all_210_3 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_192_0, all_212_4, % 33.99/5.43 | | | | | | | | | all_76_29, simplifying with (436), (472) gives: % 33.99/5.43 | | | | | | | | | (533) all_212_4 = all_192_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_2, all_218_0, % 33.99/5.43 | | | | | | | | | all_76_29, simplifying with (458), (489) gives: % 33.99/5.43 | | | | | | | | | (534) all_218_0 = all_208_2 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_206_1, all_218_0, % 33.99/5.43 | | | | | | | | | all_76_29, simplifying with (453), (489) gives: % 33.99/5.43 | | | | | | | | | (535) all_218_0 = all_206_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_76_27, all_204_1, % 33.99/5.43 | | | | | | | | | all_76_28, simplifying with (412), (450) gives: % 33.99/5.43 | | | | | | | | | (536) all_204_1 = all_76_27 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_204_1, all_208_4, % 33.99/5.43 | | | | | | | | | all_76_28, simplifying with (450), (459) gives: % 33.99/5.43 | | | | | | | | | (537) all_208_4 = all_204_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_208_4, all_210_0, % 33.99/5.43 | | | | | | | | | all_76_28, simplifying with (459), (466) gives: % 33.99/5.43 | | | | | | | | | (538) all_210_0 = all_208_4 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_192_1, all_210_0, % 33.99/5.43 | | | | | | | | | all_76_28, simplifying with (437), (466) gives: % 33.99/5.43 | | | | | | | | | (539) all_210_0 = all_192_1 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | COMBINE_EQS: (524), (525) imply: % 33.99/5.43 | | | | | | | | | (540) all_218_4 = all_196_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | SIMP: (540) implies: % 33.99/5.43 | | | | | | | | | (541) all_218_4 = all_196_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | COMBINE_EQS: (522), (523) imply: % 33.99/5.43 | | | | | | | | | (542) all_212_3 = all_198_0 % 33.99/5.43 | | | | | | | | | % 33.99/5.43 | | | | | | | | | SIMP: (542) implies: % 33.99/5.44 | | | | | | | | | (543) all_212_3 = all_198_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (519), (520) imply: % 33.99/5.44 | | | | | | | | | (544) all_216_3 = all_194_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (544) implies: % 33.99/5.44 | | | | | | | | | (545) all_216_3 = all_194_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (534), (535) imply: % 33.99/5.44 | | | | | | | | | (546) all_208_2 = all_206_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (546) implies: % 33.99/5.44 | | | | | | | | | (547) all_208_2 = all_206_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (507), (508) imply: % 33.99/5.44 | | | | | | | | | (548) all_212_0 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (513), (514) imply: % 33.99/5.44 | | | | | | | | | (549) all_212_2 = all_206_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (549) implies: % 33.99/5.44 | | | | | | | | | (550) all_212_2 = all_206_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (521), (541) imply: % 33.99/5.44 | | | | | | | | | (551) all_212_3 = all_196_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (551) implies: % 33.99/5.44 | | | | | | | | | (552) all_212_3 = all_196_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (529), (530) imply: % 33.99/5.44 | | | | | | | | | (553) all_210_4 = all_208_3 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (553) implies: % 33.99/5.44 | | | | | | | | | (554) all_210_4 = all_208_3 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (503), (504) imply: % 33.99/5.44 | | | | | | | | | (555) all_214_1 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (516), (517) imply: % 33.99/5.44 | | | | | | | | | (556) all_214_3 = all_202_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (556) implies: % 33.99/5.44 | | | | | | | | | (557) all_214_3 = all_202_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (515), (557) imply: % 33.99/5.44 | | | | | | | | | (558) all_202_0 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (558) implies: % 33.99/5.44 | | | | | | | | | (559) all_202_0 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (527), (528) imply: % 33.99/5.44 | | | | | | | | | (560) all_210_4 = all_204_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (560) implies: % 33.99/5.44 | | | | | | | | | (561) all_210_4 = all_204_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (512), (550) imply: % 33.99/5.44 | | | | | | | | | (562) all_206_0 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (543), (552) imply: % 33.99/5.44 | | | | | | | | | (563) all_198_0 = all_196_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (532), (533) imply: % 33.99/5.44 | | | | | | | | | (564) all_210_3 = all_192_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (564) implies: % 33.99/5.44 | | | | | | | | | (565) all_210_3 = all_192_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (538), (539) imply: % 33.99/5.44 | | | | | | | | | (566) all_208_4 = all_192_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (566) implies: % 33.99/5.44 | | | | | | | | | (567) all_208_4 = all_192_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (531), (565) imply: % 33.99/5.44 | | | | | | | | | (568) all_208_2 = all_192_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (568) implies: % 33.99/5.44 | | | | | | | | | (569) all_208_2 = all_192_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (526), (554) imply: % 33.99/5.44 | | | | | | | | | (570) all_208_3 = all_200_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (554), (561) imply: % 33.99/5.44 | | | | | | | | | (571) all_208_3 = all_204_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (547), (569) imply: % 33.99/5.44 | | | | | | | | | (572) all_206_1 = all_192_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (570), (571) imply: % 33.99/5.44 | | | | | | | | | (573) all_204_0 = all_200_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (537), (567) imply: % 33.99/5.44 | | | | | | | | | (574) all_204_1 = all_192_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | SIMP: (574) implies: % 33.99/5.44 | | | | | | | | | (575) all_204_1 = all_192_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (536), (575) imply: % 33.99/5.44 | | | | | | | | | (576) all_192_1 = all_76_27 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (567), (576) imply: % 33.99/5.44 | | | | | | | | | (577) all_208_4 = all_76_27 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (539), (576) imply: % 33.99/5.44 | | | | | | | | | (578) all_210_0 = all_76_27 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (517), (559) imply: % 33.99/5.44 | | | | | | | | | (579) all_216_4 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (530), (570) imply: % 33.99/5.44 | | | | | | | | | (580) all_216_0 = all_200_1 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (514), (562) imply: % 33.99/5.44 | | | | | | | | | (581) all_218_3 = 0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (535), (572) imply: % 33.99/5.44 | | | | | | | | | (582) all_218_0 = all_192_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | COMBINE_EQS: (523), (563) imply: % 33.99/5.44 | | | | | | | | | (583) all_220_2 = all_196_0 % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | BETA: splitting (497) gives: % 33.99/5.44 | | | | | | | | | % 33.99/5.44 | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | (584) ~ (all_220_4 = 0) % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | REDUCE: (518), (584) imply: % 33.99/5.44 | | | | | | | | | | (585) $false % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | CLOSE: (585) is inconsistent. % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | (586) all_220_0 = 0 & all_220_1 = 0 & all_220_2 = 0 & % 33.99/5.44 | | | | | | | | | | all_220_3 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | ALPHA: (586) implies: % 33.99/5.44 | | | | | | | | | | (587) all_220_3 = 0 % 33.99/5.44 | | | | | | | | | | (588) all_220_2 = 0 % 33.99/5.44 | | | | | | | | | | (589) all_220_1 = 0 % 33.99/5.44 | | | | | | | | | | (590) all_220_0 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | COMBINE_EQS: (583), (588) imply: % 33.99/5.44 | | | | | | | | | | (591) all_196_0 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | COMBINE_EQS: (520), (587) imply: % 33.99/5.44 | | | | | | | | | | (592) all_194_0 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | SIMP: (592) implies: % 33.99/5.44 | | | | | | | | | | (593) all_194_0 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | COMBINE_EQS: (545), (593) imply: % 33.99/5.44 | | | | | | | | | | (594) all_216_3 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | COMBINE_EQS: (541), (591) imply: % 33.99/5.44 | | | | | | | | | | (595) all_218_4 = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | REDUCE: (493), (590) imply: % 33.99/5.44 | | | | | | | | | | (596) gt_tree1(all_76_34, all_76_32) = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | REDUCE: (492), (589) imply: % 33.99/5.44 | | | | | | | | | | (597) lt_tree1(all_76_34, all_76_35) = 0 % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | BETA: splitting (490) gives: % 33.99/5.44 | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | (598) ~ (all_218_1 = 0) % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | REDUCE: (507), (598) imply: % 33.99/5.44 | | | | | | | | | | | (599) $false % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | CLOSE: (599) is inconsistent. % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | (600) ~ (all_218_2 = 0) | ~ (all_218_3 = 0) | ~ % 33.99/5.44 | | | | | | | | | | | (all_218_4 = 0) | all_218_0 = 0 % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | BETA: splitting (600) gives: % 33.99/5.44 | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | (601) ~ (all_218_2 = 0) % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | REDUCE: (502), (601) imply: % 33.99/5.44 | | | | | | | | | | | | (602) $false % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | CLOSE: (602) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | (603) ~ (all_218_3 = 0) | ~ (all_218_4 = 0) | % 33.99/5.44 | | | | | | | | | | | | all_218_0 = 0 % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | BETA: splitting (603) gives: % 33.99/5.44 | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | (604) ~ (all_218_3 = 0) % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | REDUCE: (581), (604) imply: % 33.99/5.44 | | | | | | | | | | | | | (605) $false % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | CLOSE: (605) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | (606) ~ (all_218_4 = 0) | all_218_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | BETA: splitting (483) gives: % 33.99/5.44 | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | (607) ~ (all_216_1 = 0) % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | REDUCE: (509), (607) imply: % 33.99/5.44 | | | | | | | | | | | | | | (608) $false % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | CLOSE: (608) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | (609) ~ (all_216_2 = 0) | ~ (all_216_3 = 0) | ~ % 33.99/5.44 | | | | | | | | | | | | | | (all_216_4 = 0) | all_216_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | BETA: splitting (609) gives: % 33.99/5.44 | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | (610) ~ (all_216_2 = 0) % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | REDUCE: (503), (610) imply: % 33.99/5.44 | | | | | | | | | | | | | | | (611) $false % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | CLOSE: (611) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | (612) ~ (all_216_3 = 0) | ~ (all_216_4 = 0) | % 33.99/5.44 | | | | | | | | | | | | | | | all_216_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | BETA: splitting (612) gives: % 33.99/5.44 | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | (613) ~ (all_216_3 = 0) % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | REDUCE: (594), (613) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | (614) $false % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | CLOSE: (614) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | (615) ~ (all_216_4 = 0) | all_216_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | BETA: splitting (606) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | (616) ~ (all_218_4 = 0) % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | REDUCE: (595), (616) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | | (617) $false % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | CLOSE: (617) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | (618) all_218_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (618) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | | (619) all_192_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (619) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | | (620) all_210_3 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | BETA: splitting (615) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | (621) ~ (all_216_4 = 0) % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | REDUCE: (579), (621) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | | | (622) $false % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | CLOSE: (622) is inconsistent. % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | (623) all_216_0 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (623) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | | | (624) all_200_1 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (526), (624) imply: % 33.99/5.44 | | | | | | | | | | | | | | | | | | (625) all_210_4 = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_tree_node) with all_76_34, % 33.99/5.44 | | | | | | | | | | | | | | | | | | all_76_40, all_76_39, all_76_41, all_76_35, % 33.99/5.44 | | | | | | | | | | | | | | | | | | black1, all_76_30, all_208_1, simplifying with % 33.99/5.44 | | | | | | | | | | | | | | | | | | (9), (19), (22), (409), (455) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | | | (626) all_208_1 = 0 | ~ ($lesseq(1, % 33.99/5.44 | | | | | | | | | | | | | | | | | | $difference(all_76_34, all_76_40))) | ? [v0: % 33.99/5.44 | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : (lt_tree1(all_76_34, % 33.99/5.44 | | | | | | | | | | | | | | | | | | all_76_35) = v1 & lt_tree1(all_76_34, % 33.99/5.44 | | | | | | | | | | | | | | | | | | all_76_41) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (gt_tree_node) with all_76_34, % 33.99/5.44 | | | | | | | | | | | | | | | | | | all_76_45, all_76_44, all_76_32, all_76_43, % 33.99/5.44 | | | | | | | | | | | | | | | | | | black1, all_76_29, all_208_0, simplifying with % 33.99/5.44 | | | | | | | | | | | | | | | | | | (9), (18), (23), (410), (456) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | | | (627) all_208_0 = 0 | ~ ($lesseq(1, % 33.99/5.44 | | | | | | | | | | | | | | | | | | $difference(all_76_45, all_76_34))) | ? [v0: % 33.99/5.44 | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : (gt_tree1(all_76_34, % 33.99/5.44 | | | | | | | | | | | | | | | | | | all_76_32) = v0 & gt_tree1(all_76_34, % 33.99/5.44 | | | | | | | | | | | | | | | | | | all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | BETA: splitting (413) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.44 | | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (628) all_76_21 = all_76_41 & all_76_26 = red1 & % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_36 = black1 & all_76_42 = red1 & ~ % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (all_76_18 = 0) & bst1(all_76_19) = all_76_18 & % 33.99/5.44 | | | | | | | | | | | | | | | | | | | node1(black1, all_76_25, all_76_24, all_76_23, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_22) = all_76_20 & node1(red1, all_76_20, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_40, all_76_39, all_76_37) = all_76_19 & % 33.99/5.44 | | | | | | | | | | | | | | | | | | | node1(red1, all_76_25, all_76_24, all_76_23, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_22) = all_76_41 & tree1(all_76_19) & % 33.99/5.44 | | | | | | | | | | | | | | | | | | | tree1(all_76_20) % 33.99/5.44 | | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | | ALPHA: (628) implies: % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (629) all_76_42 = red1 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (630) all_76_36 = black1 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (631) ~ (all_76_18 = 0) % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (632) tree1(all_76_20) % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (633) node1(red1, all_76_25, all_76_24, all_76_23, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_22) = all_76_41 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (634) node1(red1, all_76_20, all_76_40, all_76_39, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_37) = all_76_19 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (635) node1(black1, all_76_25, all_76_24, all_76_23, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_22) = all_76_20 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (636) bst1(all_76_19) = all_76_18 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_node_lt) with all_76_40, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_24, all_76_23, all_76_25, all_76_22, red1, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (8), (24), (25), % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (154), (633) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (637) $lesseq(1, $difference(all_76_40, all_76_24)) % 33.99/5.44 | | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_right) with all_76_40, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_24, all_76_23, all_76_25, all_76_22, red1, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (8), (24), (25), % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (154), (633) gives: % 33.99/5.44 | | | | | | | | | | | | | | | | | | | (638) lt_tree1(all_76_40, all_76_22) = 0 % 33.99/5.44 | | | | | | | | | | | | | | | | | | | % 33.99/5.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_left) with all_76_40, all_76_24, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_25, all_76_22, red1, all_76_41, % 33.99/5.44 | | | | | | | | | | | | | | | | | | | simplifying with (8), (24), (25), (154), (633) % 33.99/5.44 | | | | | | | | | | | | | | | | | | | gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (639) lt_tree1(all_76_40, all_76_25) = 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_24, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_25, all_76_22, red1, all_76_41, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | simplifying with (8), (24), (25), (633) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (640) ? [v0: any] : ? [v1: any] : (bst1(all_76_22) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | v1 & bst1(all_76_41) = v0 & ( ~ (v0 = 0) | v1 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_24, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_25, all_76_22, red1, all_76_41, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | simplifying with (8), (24), (25), (633) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (641) ? [v0: any] : ? [v1: any] : (bst1(all_76_25) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | v1 & bst1(all_76_41) = v0 & ( ~ (v0 = 0) | v1 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_25, all_76_24, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_22, all_76_41, simplifying with % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (8), (24), (25), (633) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (642) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.45 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_22) = v1 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | bst1(all_76_25) = v0 & bst1(all_76_41) = v4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = v3 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = v2 & ( ~ (v3 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | | v4 = 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_25, all_76_24, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_22, all_76_41, simplifying with % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (8), (24), (25), (633) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (643) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.45 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_22) = v2 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | bst1(all_76_25) = v1 & bst1(all_76_41) = v0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = v4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = v3 & ( ~ (v0 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0) | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_40, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_39, all_76_20, all_76_37, red1, all_76_19, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | simplifying with (8), (21), (632), (634) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (644) ? [v0: any] : ? [v1: any] : (bst1(all_76_19) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | v0 & bst1(all_76_20) = v1 & ( ~ (v0 = 0) | v1 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_20, all_76_40, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_39, all_76_37, all_76_19, simplifying with % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (8), (21), (632), (634) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (645) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.45 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_19) = v4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | bst1(all_76_20) = v0 & bst1(all_76_37) = v1 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = v3 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_20) = v2 & ( ~ (v3 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | | v4 = 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_20, all_76_40, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_39, all_76_37, all_76_19, simplifying with % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (8), (21), (632), (634) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (646) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.45 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_19) = v0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | bst1(all_76_20) = v1 & bst1(all_76_37) = v2 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = v4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_20) = v3 & ( ~ (v0 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0) | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_24, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_25, all_76_22, black1, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (9), (24), (25), (635) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (647) ? [v0: any] : ? [v1: any] : (bst1(all_76_20) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | v0 & bst1(all_76_22) = v1 & ( ~ (v0 = 0) | v1 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_24, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_23, all_76_25, all_76_22, black1, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (9), (24), (25), (635) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (648) ? [v0: any] : ? [v1: any] : (bst1(all_76_20) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | v0 & bst1(all_76_25) = v1 & ( ~ (v0 = 0) | v1 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with black1, all_76_25, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_24, all_76_23, all_76_22, all_76_20, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | simplifying with (9), (24), (25), (635) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (649) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.45 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_20) = v4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | bst1(all_76_22) = v1 & bst1(all_76_25) = v0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = v3 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = v2 & ( ~ (v3 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | | v4 = 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with black1, all_76_25, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_24, all_76_23, all_76_22, all_76_20, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | simplifying with (9), (24), (25), (635) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (650) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.45 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_20) = v0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | bst1(all_76_22) = v2 & bst1(all_76_25) = v1 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = v4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = v3 & ( ~ (v0 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0) | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (644) with fresh symbols all_350_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_350_1 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (651) bst1(all_76_19) = all_350_1 & bst1(all_76_20) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_350_0 & ( ~ (all_350_1 = 0) | all_350_0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (651) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (652) bst1(all_76_20) = all_350_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (648) with fresh symbols all_352_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_352_1 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (653) bst1(all_76_20) = all_352_1 & bst1(all_76_25) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_352_0 & ( ~ (all_352_1 = 0) | all_352_0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (653) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (654) bst1(all_76_25) = all_352_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (647) with fresh symbols all_354_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_354_1 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (655) bst1(all_76_20) = all_354_1 & bst1(all_76_22) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_354_0 & ( ~ (all_354_1 = 0) | all_354_0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (655) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (656) bst1(all_76_22) = all_354_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (657) bst1(all_76_20) = all_354_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (641) with fresh symbols all_356_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_356_1 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (658) bst1(all_76_25) = all_356_0 & bst1(all_76_41) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_356_1 & ( ~ (all_356_1 = 0) | all_356_0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (659) bst1(all_76_41) = all_356_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (660) bst1(all_76_25) = all_356_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (661) ~ (all_356_1 = 0) | all_356_0 = 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (640) with fresh symbols all_358_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_358_1 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (662) bst1(all_76_22) = all_358_0 & bst1(all_76_41) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_358_1 & ( ~ (all_358_1 = 0) | all_358_0 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (662) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (663) bst1(all_76_41) = all_358_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (664) bst1(all_76_22) = all_358_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (665) ~ (all_358_1 = 0) | all_358_0 = 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (646) with fresh symbols all_360_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_360_1, all_360_2, all_360_3, all_360_4 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (666) bst1(all_76_19) = all_360_4 & bst1(all_76_20) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_360_3 & bst1(all_76_37) = all_360_2 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = all_360_0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_20) = all_360_1 & ( ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_360_4 = 0) | (all_360_0 = 0 & all_360_1 = 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | & all_360_2 = 0 & all_360_3 = 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (666) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (667) lt_tree1(all_76_40, all_76_20) = all_360_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (668) gt_tree1(all_76_40, all_76_37) = all_360_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (669) bst1(all_76_20) = all_360_3 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (670) bst1(all_76_19) = all_360_4 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (643) with fresh symbols all_362_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_362_1, all_362_2, all_362_3, all_362_4 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (671) bst1(all_76_22) = all_362_2 & bst1(all_76_25) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_362_3 & bst1(all_76_41) = all_362_4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = all_362_0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = all_362_1 & ( ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_362_4 = 0) | (all_362_0 = 0 & all_362_1 = 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | & all_362_2 = 0 & all_362_3 = 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (671) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (672) lt_tree1(all_76_24, all_76_25) = all_362_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (673) gt_tree1(all_76_24, all_76_22) = all_362_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (674) bst1(all_76_41) = all_362_4 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (675) bst1(all_76_25) = all_362_3 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (676) bst1(all_76_22) = all_362_2 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (677) ~ (all_362_4 = 0) | (all_362_0 = 0 & all_362_1 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0 & all_362_2 = 0 & all_362_3 = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (645) with fresh symbols all_364_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_364_1, all_364_2, all_364_3, all_364_4 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (678) bst1(all_76_19) = all_364_0 & bst1(all_76_20) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_364_4 & bst1(all_76_37) = all_364_3 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = all_364_1 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_20) = all_364_2 & ( ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_364_1 = 0) | ~ (all_364_2 = 0) | ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_364_3 = 0) | ~ (all_364_4 = 0) | all_364_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (678) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (679) lt_tree1(all_76_40, all_76_20) = all_364_2 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (680) gt_tree1(all_76_40, all_76_37) = all_364_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (681) bst1(all_76_37) = all_364_3 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (682) bst1(all_76_20) = all_364_4 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (683) bst1(all_76_19) = all_364_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (684) ~ (all_364_1 = 0) | ~ (all_364_2 = 0) | ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_364_3 = 0) | ~ (all_364_4 = 0) | all_364_0 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (642) with fresh symbols all_366_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_366_1, all_366_2, all_366_3, all_366_4 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (685) bst1(all_76_22) = all_366_3 & bst1(all_76_25) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_366_4 & bst1(all_76_41) = all_366_0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = all_366_1 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = all_366_2 & ( ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_366_1 = 0) | ~ (all_366_2 = 0) | ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_366_3 = 0) | ~ (all_366_4 = 0) | all_366_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (686) bst1(all_76_41) = all_366_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (687) bst1(all_76_25) = all_366_4 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (688) bst1(all_76_22) = all_366_3 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (649) with fresh symbols all_368_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_368_1, all_368_2, all_368_3, all_368_4 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (689) bst1(all_76_20) = all_368_0 & bst1(all_76_22) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_368_3 & bst1(all_76_25) = all_368_4 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = all_368_1 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = all_368_2 & ( ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_368_1 = 0) | ~ (all_368_2 = 0) | ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_368_3 = 0) | ~ (all_368_4 = 0) | all_368_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | = 0) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (689) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (690) lt_tree1(all_76_24, all_76_25) = all_368_2 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (691) gt_tree1(all_76_24, all_76_22) = all_368_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (692) bst1(all_76_25) = all_368_4 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (693) bst1(all_76_22) = all_368_3 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (694) bst1(all_76_20) = all_368_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (695) ~ (all_368_1 = 0) | ~ (all_368_2 = 0) | ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_368_3 = 0) | ~ (all_368_4 = 0) | all_368_0 = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (650) with fresh symbols all_370_0, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_370_1, all_370_2, all_370_3, all_370_4 gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (696) bst1(all_76_20) = all_370_4 & bst1(all_76_22) = % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_370_2 & bst1(all_76_25) = all_370_3 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_24, all_76_22) = all_370_0 & % 33.99/5.45 | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_24, all_76_25) = all_370_1 & ( ~ % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (all_370_4 = 0) | (all_370_0 = 0 & all_370_1 = 0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | & all_370_2 = 0 & all_370_3 = 0)) % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (697) lt_tree1(all_76_24, all_76_25) = all_370_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (698) gt_tree1(all_76_24, all_76_22) = all_370_0 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (699) bst1(all_76_25) = all_370_3 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (700) bst1(all_76_22) = all_370_2 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (701) bst1(all_76_20) = all_370_4 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_360_1, all_364_2, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_20, all_76_40, simplifying with (667), % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (679) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (702) all_364_2 = all_360_1 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_368_2, all_370_1, % 33.99/5.45 | | | | | | | | | | | | | | | | | | | all_76_25, all_76_24, simplifying with (690), % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (697) gives: % 33.99/5.45 | | | | | | | | | | | | | | | | | | | (703) all_370_1 = all_368_2 % 33.99/5.45 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_362_1, all_370_1, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_25, all_76_24, simplifying with (672), % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (697) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (704) all_370_1 = all_362_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_360_0, all_364_1, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_37, all_76_40, simplifying with (668), % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (680) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (705) all_364_1 = all_360_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_368_1, all_370_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, all_76_24, simplifying with (691), % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (698) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (706) all_370_0 = all_368_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_362_0, all_370_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, all_76_24, simplifying with (673), % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (698) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (707) all_370_0 = all_362_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_358_1, all_76_41, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | simplifying with (139), (663) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (708) all_358_1 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_358_1, all_362_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (663), (674) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (709) all_362_4 = all_358_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_362_4, all_366_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (674), (686) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (710) all_366_0 = all_362_4 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_356_1, all_366_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (659), (686) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (711) all_366_0 = all_356_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_364_3, all_76_37, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | simplifying with (168), (681) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (712) all_364_3 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_362_3, all_368_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_25, simplifying with (675), (692) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (713) all_368_4 = all_362_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_356_0, all_368_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_25, simplifying with (660), (692) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (714) all_368_4 = all_356_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_366_4, all_370_3, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_25, simplifying with (687), (699) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (715) all_370_3 = all_366_4 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_362_3, all_370_3, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_25, simplifying with (675), (699) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (716) all_370_3 = all_362_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_352_0, all_370_3, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_25, simplifying with (654), (699) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (717) all_370_3 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_362_2, all_368_3, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, simplifying with (676), (693) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (718) all_368_3 = all_362_2 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_358_0, all_368_3, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, simplifying with (664), (693) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (719) all_368_3 = all_358_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_354_0, all_368_3, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, simplifying with (656), (693) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (720) all_368_3 = all_354_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_368_3, all_370_2, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, simplifying with (693), (700) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (721) all_370_2 = all_368_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_366_3, all_370_2, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_22, simplifying with (688), (700) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (722) all_370_2 = all_366_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_354_1, all_364_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (657), (682) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (723) all_364_4 = all_354_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_350_0, all_368_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (652), (694) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (724) all_368_0 = all_350_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_368_0, all_370_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (694), (701) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (725) all_370_4 = all_368_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_364_4, all_370_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (682), (701) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (726) all_370_4 = all_364_4 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_360_3, all_370_4, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_20, simplifying with (669), (701) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (727) all_370_4 = all_360_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_76_18, all_364_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_19, simplifying with (636), (683) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (728) all_364_0 = all_76_18 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_360_4, all_364_0, % 33.99/5.46 | | | | | | | | | | | | | | | | | | | all_76_19, simplifying with (670), (683) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (729) all_364_0 = all_360_4 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (707) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (730) all_368_1 = all_362_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (703), (704) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (731) all_368_2 = all_362_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (731) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (732) all_368_2 = all_362_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (722) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (733) all_368_3 = all_366_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (733) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (734) all_368_3 = all_366_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (717) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (735) all_366_4 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (716) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (736) all_366_4 = all_362_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (727) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (737) all_364_4 = all_360_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (737) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (738) all_364_4 = all_360_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (727) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (739) all_368_0 = all_360_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (739) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (740) all_368_0 = all_360_3 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (724), (740) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (741) all_360_3 = all_350_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (741) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (742) all_360_3 = all_350_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (734) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (743) all_366_3 = all_358_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (734) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (744) all_366_3 = all_354_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (734) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (745) all_366_3 = all_362_2 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (714) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (746) all_362_3 = all_356_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (746) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (747) all_362_3 = all_356_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (711) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (748) all_362_4 = all_356_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (748) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (749) all_362_4 = all_356_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (745) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (750) all_362_2 = all_358_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (745) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (751) all_362_2 = all_354_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (736) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (752) all_362_3 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (752) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (753) all_362_3 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (729) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (754) all_360_4 = all_76_18 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (738) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (755) all_360_3 = all_354_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (755) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (756) all_360_3 = all_354_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (751) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (757) all_358_0 = all_354_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (753) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (758) all_356_0 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (758) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (759) all_356_0 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (749) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (760) all_358_1 = all_356_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (760) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (761) all_358_1 = all_356_1 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (756) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (762) all_354_1 = all_350_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | SIMP: (762) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (763) all_354_1 = all_350_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (708), (761) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (764) all_356_1 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (764) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (765) all_362_4 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (763) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (766) all_364_4 = all_350_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (759) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | (767) all_368_4 = all_352_0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (661) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | (768) ~ (all_356_1 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (768) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | (769) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | CLOSE: (769) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | (770) all_356_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (770) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | (771) all_352_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | SIMP: (771) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | (772) all_352_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (772) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | (773) all_368_4 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | (774) ~ (all_358_1 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (774) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | (775) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (775) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | (776) all_358_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (776) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | (777) all_354_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (777) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | (778) all_354_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (778) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | (779) all_368_3 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (780) ~ (all_362_4 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (780) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (781) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (781) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (782) all_362_0 = 0 & all_362_1 = 0 & all_362_2 = 0 & % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | all_362_3 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (782) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (783) all_362_1 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (784) all_362_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (783) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (785) all_368_2 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (784) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | (786) all_368_1 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (695) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | (787) ~ (all_368_1 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (787) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | (788) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (788) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | (789) ~ (all_368_2 = 0) | ~ (all_368_3 = 0) | ~ % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | (all_368_4 = 0) | all_368_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (789) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | (790) ~ (all_368_2 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (790) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | (791) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (791) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | (792) ~ (all_368_3 = 0) | ~ (all_368_4 = 0) | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | all_368_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (792) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | (793) ~ (all_368_3 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (793) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | (794) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (794) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | (795) ~ (all_368_4 = 0) | all_368_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (795) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (796) ~ (all_368_4 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (796) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (797) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (797) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_368_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (724), (798) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_350_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (799) implies: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_350_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (766), (800) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_364_4 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) ~ (all_208_4 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (802) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) ~ (all_76_27 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) ~ (all_210_1 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (511), (804) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) ~ (all_208_0 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (13), (18), (33), (426), (596), (627), % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) are inconsistent by sub-proof #3. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) ~ (all_210_2 = 0) | ~ (all_210_3 = 0) | ~ % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_210_4 = 0) | all_210_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (806) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) ~ (all_210_2 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (807) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) ~ (all_208_1 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (12), (19), (154), (428), (597), (626), % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) are inconsistent by sub-proof #2. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) ~ (all_210_3 = 0) | ~ (all_210_4 = 0) | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_210_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (809) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) ~ (all_210_3 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (810) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (811) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) ~ (all_210_4 = 0) | all_210_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (812) gives: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) ~ (all_210_4 = 0) % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (813) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) $false % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (814) is inconsistent. % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_210_0 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (815) imply: % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_76_27 = 0 % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (816) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (817) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_208_0 = 0 & all_208_1 = 0 & all_208_2 = 0 & % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_208_3 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) all_208_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (819) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) gt_tree1(all_76_34, all_76_29) = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_tree_node) with all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_24, all_76_23, all_76_25, all_76_22, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | black1, all_76_20, all_360_1, simplifying with % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9), (24), (25), (635), (667) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_360_1 = 0 | ~ ($lesseq(1, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $difference(all_76_40, all_76_24))) | ? [v0: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : (lt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_22) = v1 & lt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_25) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (gt_tree_node) with all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_45, all_76_44, all_76_38, all_76_43, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | black1, all_76_37, all_360_0, simplifying with % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9), (18), (20), (30), (668) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_360_0 = 0 | ~ ($lesseq(1, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $difference(all_76_45, all_76_40))) | ? [v0: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : (gt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_38) = v0 & gt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (gt_right) with all_76_34, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_45, all_76_44, all_76_32, all_76_43, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | black1, all_76_29, simplifying with (9), (18), % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (410), (820) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) gt_tree1(all_76_34, all_76_43) = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (821) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) $lesseq(all_76_40, all_76_24) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (637), (824) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (825) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_360_1 = 0 | ? [v0: any] : ? [v1: any] : % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (lt_tree1(all_76_40, all_76_22) = v1 & % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_25) = v0 & ( ~ (v1 = % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0))) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_360_1 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (827) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_364_2 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) ~ (all_364_1 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (829) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) ~ (all_360_0 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (822) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) $lesseq(all_76_45, all_76_40) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (434), (831) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (832) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_360_0 = 0 | ? [v0: any] : ? [v1: any] : % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (gt_tree1(all_76_40, all_76_38) = v0 & % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_43) = v1 & ( ~ (v1 = % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0))) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (833) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_360_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (834) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (835) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) ? [v0: any] : ? [v1: any] : (gt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_38) = v0 & gt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (836) with fresh symbols all_483_0, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_483_1 gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) gt_tree1(all_76_40, all_76_38) = all_483_1 & % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_43) = all_483_0 & ( ~ % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_483_0 = 0) | ~ (all_483_1 = 0)) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (13), (18), (153), (428), (823), (837) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) ~ (all_364_2 = 0) | ~ (all_364_3 = 0) | ~ % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_364_4 = 0) | all_364_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (838) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) ~ (all_364_2 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (839) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (840) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) ~ (all_364_3 = 0) | ~ (all_364_4 = 0) | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_364_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (841) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) ~ (all_364_3 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (842) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (843) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) ~ (all_364_4 = 0) | all_364_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (844) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) ~ (all_364_4 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (845) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (846) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_364_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (847) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_76_18 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (848) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (849) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) ? [v0: any] : ? [v1: any] : (lt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_22) = v1 & lt_tree1(all_76_40, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_25) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (850) with fresh symbols all_441_0, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_441_1 gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) lt_tree1(all_76_40, all_76_22) = all_441_0 & % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_25) = all_441_1 & ( ~ % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_441_0 = 0) | ~ (all_441_1 = 0)) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (851) implies: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) lt_tree1(all_76_40, all_76_25) = all_441_1 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) lt_tree1(all_76_40, all_76_22) = all_441_0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) ~ (all_441_0 = 0) | ~ (all_441_1 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_441_1, all_76_25, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_40, simplifying with (639), (852) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) all_441_1 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_441_0, all_76_22, % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_40, simplifying with (638), (853) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_441_0 = 0 % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (854) gives: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) ~ (all_441_0 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (857) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (858) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) ~ (all_441_1 = 0) % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (859) imply: % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) $false % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (860) is inconsistent. % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | | % 33.99/5.47 | | | | | | | | | | | | | | | | | | | End of split % 33.99/5.47 | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | (861) all_76_36 = red1 & ((all_76_12 = all_76_41 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_42 = red1 & bst1(all_76_10) = all_76_9 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | & node1(all_76_17, all_76_16, all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_14, all_76_13) = all_76_41 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | node1(black1, all_76_16, all_76_15, all_76_14, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_13) = all_76_11 & node1(red1, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_11, all_76_40, all_76_39, all_76_37) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | = all_76_10 & tree1(all_76_10) & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | tree1(all_76_11) & ((all_76_17 = black1 & ~ % 33.99/5.48 | | | | | | | | | | | | | | | | | | | (all_76_27 = 0)) | (all_76_17 = red1 & ~ % 33.99/5.48 | | | | | | | | | | | | | | | | | | | (all_76_9 = 0)))) | (all_76_41 = leaf1 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_42 = red1 & ~ (all_76_27 = 0))) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | ALPHA: (861) implies: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | (862) (all_76_12 = all_76_41 & all_76_42 = red1 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | bst1(all_76_10) = all_76_9 & node1(all_76_17, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_16, all_76_15, all_76_14, all_76_13) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_41 & node1(black1, all_76_16, all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_14, all_76_13) = all_76_11 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | node1(red1, all_76_11, all_76_40, all_76_39, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_37) = all_76_10 & tree1(all_76_10) & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | tree1(all_76_11) & ((all_76_17 = black1 & ~ % 33.99/5.48 | | | | | | | | | | | | | | | | | | | (all_76_27 = 0)) | (all_76_17 = red1 & ~ % 33.99/5.48 | | | | | | | | | | | | | | | | | | | (all_76_9 = 0)))) | (all_76_41 = leaf1 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | all_76_42 = red1 & ~ (all_76_27 = 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (863) ~ (all_210_1 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (511), (863) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (864) ~ (all_208_0 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (13), (18), (33), (426), (596), (627), % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (864) are inconsistent by sub-proof #3. % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (865) all_210_1 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (866) ~ (all_210_2 = 0) | ~ (all_210_3 = 0) | ~ % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (all_210_4 = 0) | all_210_0 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (865) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (867) all_208_0 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (867) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | (868) gt_tree1(all_76_34, all_76_29) = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (866) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | (869) ~ (all_210_2 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (869) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | (870) ~ (all_208_1 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (12), (19), (154), (428), (597), (626), % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | (870) are inconsistent by sub-proof #2. % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | (871) ~ (all_210_3 = 0) | ~ (all_210_4 = 0) | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | all_210_0 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (871) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | (872) ~ (all_210_3 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (872) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | (873) $false % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (873) is inconsistent. % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | (874) ~ (all_210_4 = 0) | all_210_0 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (874) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | (875) ~ (all_210_4 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (875) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | (876) $false % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (876) is inconsistent. % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | (877) all_210_0 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (877) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | (878) all_76_27 = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (862) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (879) all_76_12 = all_76_41 & all_76_42 = red1 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_10) = all_76_9 & node1(all_76_17, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_16, all_76_15, all_76_14, all_76_13) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_41 & node1(black1, all_76_16, all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_13) = all_76_11 & node1(red1, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, all_76_40, all_76_39, all_76_37) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_10 & tree1(all_76_10) & tree1(all_76_11) & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | ((all_76_17 = black1 & ~ (all_76_27 = 0)) | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (all_76_17 = red1 & ~ (all_76_9 = 0))) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (879) implies: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (880) tree1(all_76_11) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (881) node1(red1, all_76_11, all_76_40, all_76_39, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_37) = all_76_10 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (882) node1(black1, all_76_16, all_76_15, all_76_14, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_13) = all_76_11 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (883) node1(all_76_17, all_76_16, all_76_15, all_76_14, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | all_76_13) = all_76_41 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (884) bst1(all_76_10) = all_76_9 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (885) (all_76_17 = black1 & ~ (all_76_27 = 0)) | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | (all_76_17 = red1 & ~ (all_76_9 = 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (885) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_76_17 = black1 & ~ (all_76_27 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (886) implies: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (887) ~ (all_76_27 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (878), (887) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (888) $false % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (888) is inconsistent. % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_76_17 = red1 & ~ (all_76_9 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (889) implies: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_76_17 = red1 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (891) ~ (all_76_9 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (890) imply: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (892) node1(red1, all_76_16, all_76_15, all_76_14, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13) = all_76_41 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_node_lt) with all_76_40, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_15, all_76_14, all_76_16, all_76_13, red1, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (8), (26), (27), % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (154), (892) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (893) $lesseq(1, $difference(all_76_40, all_76_15)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_right) with all_76_40, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_15, all_76_14, all_76_16, all_76_13, red1, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (8), (26), (27), % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (154), (892) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (894) lt_tree1(all_76_40, all_76_13) = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_left) with all_76_40, all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_16, all_76_13, red1, all_76_41, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (26), (27), (154), (892) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (895) lt_tree1(all_76_40, all_76_16) = 0 % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_16, all_76_13, red1, all_76_41, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (26), (27), (892) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (896) ? [v0: any] : ? [v1: any] : (bst1(all_76_13) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | v1 & bst1(all_76_41) = v0 & ( ~ (v0 = 0) | v1 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_16, all_76_13, red1, all_76_41, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (26), (27), (892) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (897) ? [v0: any] : ? [v1: any] : (bst1(all_76_16) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | v1 & bst1(all_76_41) = v0 & ( ~ (v0 = 0) | v1 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_16, all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_13, all_76_41, simplifying with % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (8), (26), (27), (892) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (898) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_13) = v1 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_16) = v0 & bst1(all_76_41) = v4 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = v3 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = v2 & ( ~ (v3 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 = 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_16, all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_13, all_76_41, simplifying with % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (8), (26), (27), (892) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (899) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_13) = v2 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_16) = v1 & bst1(all_76_41) = v0 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = v4 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = v3 & ( ~ (v0 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_40, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_39, all_76_11, all_76_37, red1, all_76_10, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (21), (880), (881) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (900) ? [v0: any] : ? [v1: any] : (bst1(all_76_10) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | v0 & bst1(all_76_11) = v1 & ( ~ (v0 = 0) | v1 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with red1, all_76_11, all_76_40, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_39, all_76_37, all_76_10, simplifying with % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (8), (21), (880), (881) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (901) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_10) = v4 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_11) = v0 & bst1(all_76_37) = v1 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = v3 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_11) = v2 & ( ~ (v3 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 = 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with red1, all_76_11, all_76_40, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_39, all_76_37, all_76_10, simplifying with % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (8), (21), (880), (881) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (902) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_10) = v0 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_11) = v1 & bst1(all_76_37) = v2 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = v4 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_11) = v3 & ( ~ (v0 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_right) with all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_16, all_76_13, black1, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (9), (26), (27), (882) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (903) ? [v0: any] : ? [v1: any] : (bst1(all_76_11) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | v0 & bst1(all_76_13) = v1 & ( ~ (v0 = 0) | v1 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (bst_left) with all_76_15, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_14, all_76_16, all_76_13, black1, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (9), (26), (27), (882) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (904) ? [v0: any] : ? [v1: any] : (bst1(all_76_11) = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | v0 & bst1(all_76_16) = v1 & ( ~ (v0 = 0) | v1 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with black1, all_76_16, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_15, all_76_14, all_76_13, all_76_11, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (26), (27), (882) gives: % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | (905) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_11) = v4 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_13) = v1 & bst1(all_76_16) = v0 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = v3 & % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = v2 & ( ~ (v3 = % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 = 0)) % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with black1, all_76_16, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_15, all_76_14, all_76_13, all_76_11, % 33.99/5.48 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (26), (27), (882) gives: % 33.99/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (906) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 33.99/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (bst1(all_76_11) = v0 & % 33.99/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | bst1(all_76_13) = v2 & bst1(all_76_16) = v1 & % 33.99/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = v4 & % 33.99/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = v3 & ( ~ (v0 = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0))) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (gt_right) with all_76_34, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_45, all_76_44, all_76_32, all_76_43, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | black1, all_76_29, simplifying with (9), (18), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (23), (410), (868) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (907) gt_tree1(all_76_34, all_76_43) = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (897) with fresh symbols all_378_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_378_1 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (908) bst1(all_76_16) = all_378_0 & bst1(all_76_41) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_378_1 & ( ~ (all_378_1 = 0) | all_378_0 = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (908) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (909) bst1(all_76_41) = all_378_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (910) bst1(all_76_16) = all_378_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (911) ~ (all_378_1 = 0) | all_378_0 = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (896) with fresh symbols all_380_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_380_1 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (912) bst1(all_76_13) = all_380_0 & bst1(all_76_41) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_380_1 & ( ~ (all_380_1 = 0) | all_380_0 = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (912) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (913) bst1(all_76_41) = all_380_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (914) bst1(all_76_13) = all_380_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (904) with fresh symbols all_382_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_382_1 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (915) bst1(all_76_11) = all_382_1 & bst1(all_76_16) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_382_0 & ( ~ (all_382_1 = 0) | all_382_0 = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (915) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (916) bst1(all_76_11) = all_382_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (903) with fresh symbols all_384_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_384_1 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (917) bst1(all_76_11) = all_384_1 & bst1(all_76_13) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_384_0 & ( ~ (all_384_1 = 0) | all_384_0 = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (917) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (918) bst1(all_76_11) = all_384_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (900) with fresh symbols all_386_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (919) bst1(all_76_10) = all_386_1 & bst1(all_76_11) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 & ( ~ (all_386_1 = 0) | all_386_0 = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (919) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (920) bst1(all_76_11) = all_386_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (921) bst1(all_76_10) = all_386_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (905) with fresh symbols all_388_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_388_1, all_388_2, all_388_3, all_388_4 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (922) bst1(all_76_11) = all_388_0 & bst1(all_76_13) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_388_3 & bst1(all_76_16) = all_388_4 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = all_388_1 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = all_388_2 & ( ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_388_1 = 0) | ~ (all_388_2 = 0) | ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_388_3 = 0) | ~ (all_388_4 = 0) | all_388_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (923) lt_tree1(all_76_15, all_76_16) = all_388_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (924) gt_tree1(all_76_15, all_76_13) = all_388_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (925) bst1(all_76_16) = all_388_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (926) bst1(all_76_13) = all_388_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (927) bst1(all_76_11) = all_388_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (928) ~ (all_388_1 = 0) | ~ (all_388_2 = 0) | ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_388_3 = 0) | ~ (all_388_4 = 0) | all_388_0 = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (902) with fresh symbols all_390_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_390_1, all_390_2, all_390_3, all_390_4 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (929) bst1(all_76_10) = all_390_4 & bst1(all_76_11) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_390_3 & bst1(all_76_37) = all_390_2 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = all_390_0 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_11) = all_390_1 & ( ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_390_4 = 0) | (all_390_0 = 0 & all_390_1 = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | & all_390_2 = 0 & all_390_3 = 0)) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (929) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (930) lt_tree1(all_76_40, all_76_11) = all_390_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (931) gt_tree1(all_76_40, all_76_37) = all_390_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (932) bst1(all_76_11) = all_390_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (933) bst1(all_76_10) = all_390_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (906) with fresh symbols all_392_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_392_1, all_392_2, all_392_3, all_392_4 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (934) bst1(all_76_11) = all_392_4 & bst1(all_76_13) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_392_2 & bst1(all_76_16) = all_392_3 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = all_392_0 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = all_392_1 & ( ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_392_4 = 0) | (all_392_0 = 0 & all_392_1 = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | & all_392_2 = 0 & all_392_3 = 0)) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (934) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (935) gt_tree1(all_76_15, all_76_13) = all_392_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (936) bst1(all_76_16) = all_392_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (937) bst1(all_76_13) = all_392_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (938) bst1(all_76_11) = all_392_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (899) with fresh symbols all_394_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_394_1, all_394_2, all_394_3, all_394_4 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (939) bst1(all_76_13) = all_394_2 & bst1(all_76_16) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_394_3 & bst1(all_76_41) = all_394_4 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = all_394_0 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = all_394_1 & ( ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_394_4 = 0) | (all_394_0 = 0 & all_394_1 = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | & all_394_2 = 0 & all_394_3 = 0)) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (939) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (940) lt_tree1(all_76_15, all_76_16) = all_394_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (941) gt_tree1(all_76_15, all_76_13) = all_394_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (942) bst1(all_76_41) = all_394_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (943) bst1(all_76_16) = all_394_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (944) bst1(all_76_13) = all_394_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (945) ~ (all_394_4 = 0) | (all_394_0 = 0 & all_394_1 = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | 0 & all_394_2 = 0 & all_394_3 = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (898) with fresh symbols all_396_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1, all_396_2, all_396_3, all_396_4 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (946) bst1(all_76_13) = all_396_3 & bst1(all_76_16) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_396_4 & bst1(all_76_41) = all_396_0 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_15, all_76_13) = all_396_1 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_15, all_76_16) = all_396_2 & ( ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_396_1 = 0) | ~ (all_396_2 = 0) | ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_396_3 = 0) | ~ (all_396_4 = 0) | all_396_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (946) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (947) gt_tree1(all_76_15, all_76_13) = all_396_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (948) bst1(all_76_41) = all_396_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (949) bst1(all_76_16) = all_396_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (950) bst1(all_76_13) = all_396_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (901) with fresh symbols all_398_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_398_1, all_398_2, all_398_3, all_398_4 gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (951) bst1(all_76_10) = all_398_0 & bst1(all_76_11) = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_398_4 & bst1(all_76_37) = all_398_3 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_37) = all_398_1 & % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_11) = all_398_2 & ( ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_398_1 = 0) | ~ (all_398_2 = 0) | ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_398_3 = 0) | ~ (all_398_4 = 0) | all_398_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | = 0) % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (951) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (952) lt_tree1(all_76_40, all_76_11) = all_398_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (953) gt_tree1(all_76_40, all_76_37) = all_398_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (954) bst1(all_76_37) = all_398_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (955) bst1(all_76_11) = all_398_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (956) bst1(all_76_10) = all_398_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (957) ~ (all_398_1 = 0) | ~ (all_398_2 = 0) | ~ % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_398_3 = 0) | ~ (all_398_4 = 0) | all_398_0 = % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_390_1, all_398_2, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, all_76_40, simplifying with (930), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (952) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (958) all_398_2 = all_390_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_388_2, all_394_1, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16, all_76_15, simplifying with (923), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (940) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (959) all_394_1 = all_388_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_390_0, all_398_1, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_37, all_76_40, simplifying with (931), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (953) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_398_1 = all_390_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_388_1, all_394_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, all_76_15, simplifying with (924), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (941) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_394_0 = all_388_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_394_0, all_396_1, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, all_76_15, simplifying with (941), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (947) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_396_1 = all_394_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_392_0, all_396_1, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, all_76_15, simplifying with (935), % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (947) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_396_1 = all_392_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_380_1, all_76_41, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (139), (913) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_380_1 = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_380_1, all_394_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (913), (942) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_394_4 = all_380_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_394_4, all_396_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (942), (948) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_396_0 = all_394_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_378_1, all_396_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_41, simplifying with (909), (948) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_396_0 = all_378_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_398_3, all_76_37, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (168), (954) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (968) all_398_3 = 0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_392_3, all_394_3, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16, simplifying with (936), (943) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_394_3 = all_392_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_378_0, all_394_3, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16, simplifying with (910), (943) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_394_3 = all_378_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_392_3, all_396_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16, simplifying with (936), (949) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_396_4 = all_392_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_388_4, all_396_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16, simplifying with (925), (949) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (972) all_396_4 = all_388_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_388_3, all_392_2, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, simplifying with (926), (937) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_392_2 = all_388_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_394_2, all_396_3, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, simplifying with (944), (950) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_396_3 = all_394_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_392_2, all_396_3, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, simplifying with (937), (950) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (975) all_396_3 = all_392_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_380_0, all_396_3, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13, simplifying with (914), (950) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_396_3 = all_380_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_384_1, all_388_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (918), (927) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_388_0 = all_384_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_388_0, all_390_3, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (927), (932) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_390_3 = all_388_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_390_3, all_392_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (932), (938) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_392_4 = all_390_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_382_1, all_392_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (916), (938) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_392_4 = all_382_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_390_3, all_398_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (932), (955) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_398_4 = all_390_3 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_386_0, all_398_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_11, simplifying with (920), (955) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (982) all_398_4 = all_386_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_76_9, all_390_4, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_10, simplifying with (884), (933) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_390_4 = all_76_9 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_390_4, all_398_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_10, simplifying with (933), (956) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_398_0 = all_390_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_386_1, all_398_0, % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_76_10, simplifying with (921), (956) gives: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (985) all_398_0 = all_386_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (984), (985) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_390_4 = all_386_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (986) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_390_4 = all_386_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (981), (982) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (988) all_390_3 = all_386_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (988) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_390_3 = all_386_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (966), (967) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_394_4 = all_378_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (990) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_394_4 = all_378_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (962), (963) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (992) all_394_0 = all_392_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (992) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (993) all_394_0 = all_392_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (974), (976) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_394_2 = all_380_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (974), (975) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (995) all_394_2 = all_392_2 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (971), (972) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_392_3 = all_388_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (996) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_392_3 = all_388_4 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (961), (993) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_392_0 = all_388_1 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (994), (995) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_392_2 = all_380_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (999) implies: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1000) all_392_2 = all_380_0 % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (969), (970) imply: % 34.29/5.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1001) all_392_3 = all_378_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1001) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_392_3 = all_378_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (991) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_380_1 = all_378_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1003) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_380_1 = all_378_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (973), (1000) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_388_3 = all_380_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (997), (1002) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_388_4 = all_378_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (979), (980) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_390_3 = all_382_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1007) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_390_3 = all_382_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (978), (989) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_388_0 = all_386_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1009) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_388_0 = all_386_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (989), (1008) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_386_0 = all_382_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (983), (987) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_386_1 = all_76_9 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_386_1 = all_76_9 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (977), (1010) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_386_0 = all_384_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1014) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_386_0 = all_384_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1015) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_384_1 = all_382_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (1004) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_378_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (977), (1016) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_388_0 = all_382_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (1017) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_394_4 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (982), (1011) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_398_4 = all_382_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1013) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_398_0 = all_76_9 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) ~ (all_378_1 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1022) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1023) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_378_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1006), (1024) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_388_4 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (945) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) ~ (all_394_4 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1026) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1027) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_394_0 = 0 & all_394_1 = 0 & all_394_2 = 0 & % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_394_3 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1028) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_394_2 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_394_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_394_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (961), (1031) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_388_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1032) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_388_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (959), (1030) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_388_2 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1034) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_388_2 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (994), (1029) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_380_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1036) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_380_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1037) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_388_3 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (928) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) ~ (all_388_1 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1033), (1039) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1040) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) ~ (all_388_2 = 0) | ~ (all_388_3 = 0) | ~ % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_388_4 = 0) | all_388_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1041) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) ~ (all_388_2 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1035), (1042) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1043) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) ~ (all_388_3 = 0) | ~ (all_388_4 = 0) | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_388_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) ~ (all_388_3 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1038), (1045) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1046) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_388_4 = 0) | all_388_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1047) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) ~ (all_388_4 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1025), (1048) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1049) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_388_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (1050) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_382_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1051) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_382_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1020), (1052) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_398_4 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lt_tree_node) with all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_15, all_76_14, all_76_16, all_76_13, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | black1, all_76_11, all_390_1, simplifying with % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9), (26), (27), (882), (930) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_390_1 = 0 | ~ ($lesseq(1, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $difference(all_76_40, all_76_15))) | ? [v0: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : (lt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13) = v1 & lt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (gt_tree_node) with all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_45, all_76_44, all_76_38, all_76_43, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | black1, all_76_37, all_390_0, simplifying with % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9), (18), (20), (30), (931) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_390_0 = 0 | ~ ($lesseq(1, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $difference(all_76_45, all_76_40))) | ? [v0: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : (gt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_38) = v0 & gt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) $lesseq(all_76_40, all_76_15) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (893), (1056) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1057) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_390_1 = 0 | ? [v0: any] : ? [v1: any] : % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (lt_tree1(all_76_40, all_76_13) = v1 & % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_16) = v0 & ( ~ (v1 = % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0))) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_390_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (1059) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_398_2 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) ~ (all_398_1 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (1061) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) ~ (all_390_0 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1055) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) $lesseq(all_76_45, all_76_40) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (434), (1063) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1064) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_390_0 = 0 | ? [v0: any] : ? [v1: any] : % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (gt_tree1(all_76_40, all_76_38) = v0 & % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_43) = v1 & ( ~ (v1 = % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0))) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1065) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_390_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1062), (1066) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1067) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) ? [v0: any] : ? [v1: any] : (gt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_38) = v0 & gt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1068) with fresh symbols all_483_0, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_483_1 gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) gt_tree1(all_76_40, all_76_38) = all_483_1 & % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gt_tree1(all_76_40, all_76_43) = all_483_0 & ( ~ % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_483_0 = 0) | ~ (all_483_1 = 0)) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (13), (18), (153), (428), (907), (1069) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) ~ (all_398_2 = 0) | ~ (all_398_3 = 0) | ~ % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_398_4 = 0) | all_398_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1070) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) ~ (all_398_2 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1060), (1071) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1072) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) ~ (all_398_3 = 0) | ~ (all_398_4 = 0) | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_398_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) ~ (all_398_3 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (968), (1074) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1075) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) ~ (all_398_4 = 0) | all_398_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_398_4 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1053), (1077) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_398_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1021), (1079) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_76_9 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1080) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1081) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) ? [v0: any] : ? [v1: any] : (lt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_13) = v1 & lt_tree1(all_76_40, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_16) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1082) with fresh symbols all_462_0, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_1 gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) lt_tree1(all_76_40, all_76_13) = all_462_0 & % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | lt_tree1(all_76_40, all_76_16) = all_462_1 & ( ~ % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_462_0 = 0) | ~ (all_462_1 = 0)) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1083) implies: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) lt_tree1(all_76_40, all_76_16) = all_462_1 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) lt_tree1(all_76_40, all_76_13) = all_462_0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_462_0 = 0) | ~ (all_462_1 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_462_1, all_76_16, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_40, simplifying with (895), (1084) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) all_462_1 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_462_0, all_76_13, % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_76_40, simplifying with (894), (1085) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) all_462_0 = 0 % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1086) gives: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) ~ (all_462_0 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1088), (1089) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1090) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) ~ (all_462_1 = 0) % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1087), (1091) imply: % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) $false % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1092) is inconsistent. % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.50 | | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_76_41 = leaf1 & all_76_42 = red1 & ~ % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_76_27 = 0) % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1093) implies: % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | (1094) ~ (all_76_27 = 0) % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (878), (1094) imply: % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | (1095) $false % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1095) is inconsistent. % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | | % 34.29/5.51 | | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | | % 34.29/5.51 | | | | | | | | | End of split % 34.29/5.51 | | | | | | | | | % 34.29/5.51 | | | | | | | | End of split % 34.29/5.51 | | | | | | | | % 34.29/5.51 | | | | | | | End of split % 34.29/5.51 | | | | | | | % 34.29/5.51 | | | | | | End of split % 34.29/5.51 | | | | | | % 34.29/5.51 | | | | | End of split % 34.29/5.51 | | | | | % 34.29/5.51 | | | | End of split % 34.29/5.51 | | | | % 34.29/5.51 | | | End of split % 34.29/5.51 | | | % 34.29/5.51 | | End of split % 34.29/5.51 | | % 34.29/5.51 | End of split % 34.29/5.51 | % 34.29/5.51 End of proof % 34.29/5.51 % 34.29/5.51 Sub-proof #1 shows that the following formulas are inconsistent: % 34.29/5.51 ---------------------------------------------------------------- % 34.29/5.51 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: tree1] % 34.29/5.51 : ! [v3: int] : (v1 = v0 | ~ (gt_tree1(v3, v2) = v1) | ~ (gt_tree1(v3, % 34.29/5.51 v2) = v0)) % 34.29/5.51 (2) tree1(all_76_43) % 34.29/5.51 (3) gt_tree1(all_76_40, all_76_38) = 0 % 34.29/5.51 (4) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ % 34.29/5.51 ($lesseq(v2, v0)) | ~ (gt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) = % 34.29/5.51 0) | ~ tree1(v1)) % 34.29/5.51 (5) gt_tree1(all_76_40, all_76_38) = all_483_1 & gt_tree1(all_76_40, % 34.29/5.51 all_76_43) = all_483_0 & ( ~ (all_483_0 = 0) | ~ (all_483_1 = 0)) % 34.29/5.51 (6) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ (gt_tree1(v0, % 34.29/5.51 v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] : % 34.29/5.51 ($lesseq(v3, v0) & memt1(v1, v3, v4) = 0)) % 34.29/5.51 (7) gt_tree1(all_76_34, all_76_43) = 0 % 34.29/5.51 (8) $lesseq(1, $difference(all_76_34, all_76_40)) % 34.29/5.51 % 34.29/5.51 Begin of proof % 34.29/5.51 | % 34.29/5.51 | ALPHA: (5) implies: % 34.29/5.51 | (9) gt_tree1(all_76_40, all_76_43) = all_483_0 % 34.29/5.51 | (10) gt_tree1(all_76_40, all_76_38) = all_483_1 % 34.29/5.51 | (11) ~ (all_483_0 = 0) | ~ (all_483_1 = 0) % 34.29/5.51 | % 34.29/5.51 | GROUND_INST: instantiating (1) with 0, all_483_1, all_76_38, all_76_40, % 34.29/5.51 | simplifying with (3), (10) gives: % 34.29/5.51 | (12) all_483_1 = 0 % 34.29/5.51 | % 34.29/5.51 | BETA: splitting (11) gives: % 34.29/5.51 | % 34.29/5.51 | Case 1: % 34.29/5.51 | | % 34.29/5.51 | | (13) ~ (all_483_0 = 0) % 34.29/5.51 | | % 34.29/5.51 | | GROUND_INST: instantiating (6) with all_76_40, all_76_43, all_483_0, % 34.29/5.51 | | simplifying with (2), (9) gives: % 34.29/5.51 | | (14) all_483_0 = 0 | ? [v0: int] : ? [v1: int] : ($lesseq(v0, % 34.29/5.51 | | all_76_40) & memt1(all_76_43, v0, v1) = 0) % 34.29/5.51 | | % 34.29/5.51 | | BETA: splitting (14) gives: % 34.29/5.51 | | % 34.29/5.51 | | Case 1: % 34.29/5.51 | | | % 34.29/5.51 | | | (15) all_483_0 = 0 % 34.29/5.51 | | | % 34.29/5.51 | | | REDUCE: (13), (15) imply: % 34.29/5.51 | | | (16) $false % 34.29/5.51 | | | % 34.29/5.51 | | | CLOSE: (16) is inconsistent. % 34.29/5.51 | | | % 34.29/5.51 | | Case 2: % 34.29/5.51 | | | % 34.29/5.51 | | | (17) ? [v0: int] : ? [v1: int] : ($lesseq(v0, all_76_40) & % 34.29/5.51 | | | memt1(all_76_43, v0, v1) = 0) % 34.29/5.51 | | | % 34.29/5.51 | | | DELTA: instantiating (17) with fresh symbols all_514_0, all_514_1 gives: % 34.29/5.51 | | | (18) $lesseq(all_514_1, all_76_40) & memt1(all_76_43, all_514_1, % 34.29/5.51 | | | all_514_0) = 0 % 34.29/5.51 | | | % 34.29/5.51 | | | ALPHA: (18) implies: % 34.29/5.51 | | | (19) $lesseq(all_514_1, all_76_40) % 34.29/5.51 | | | (20) memt1(all_76_43, all_514_1, all_514_0) = 0 % 34.29/5.51 | | | % 34.29/5.51 | | | GROUND_INST: instantiating (4) with all_76_34, all_76_43, all_514_1, % 34.29/5.51 | | | all_514_0, simplifying with (2), (7), (20) gives: % 34.29/5.51 | | | (21) $lesseq(1, $difference(all_514_1, all_76_34)) % 34.29/5.51 | | | % 34.29/5.51 | | | COMBINE_INEQS: (19), (21) imply: % 34.29/5.51 | | | (22) $lesseq(1, $difference(all_76_40, all_76_34)) % 34.29/5.51 | | | % 34.29/5.51 | | | COMBINE_INEQS: (8), (22) imply: % 34.29/5.51 | | | (23) $false % 34.29/5.51 | | | % 34.29/5.51 | | | CLOSE: (23) is inconsistent. % 34.29/5.51 | | | % 34.29/5.51 | | End of split % 34.29/5.51 | | % 34.29/5.51 | Case 2: % 34.29/5.51 | | % 34.29/5.51 | | (24) ~ (all_483_1 = 0) % 34.29/5.51 | | % 34.29/5.51 | | REDUCE: (12), (24) imply: % 34.29/5.51 | | (25) $false % 34.29/5.51 | | % 34.29/5.51 | | CLOSE: (25) is inconsistent. % 34.29/5.51 | | % 34.29/5.51 | End of split % 34.29/5.51 | % 34.29/5.51 End of proof % 34.29/5.51 % 34.29/5.51 Sub-proof #2 shows that the following formulas are inconsistent: % 34.29/5.51 ---------------------------------------------------------------- % 34.29/5.51 (1) all_208_1 = 0 | ~ ($lesseq(1, $difference(all_76_34, all_76_40))) | ? % 34.29/5.51 [v0: any] : ? [v1: any] : (lt_tree1(all_76_34, all_76_35) = v1 & % 34.29/5.51 lt_tree1(all_76_34, all_76_41) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 34.29/5.51 (2) ~ (all_208_1 = 0) % 34.29/5.51 (3) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ % 34.29/5.51 ($lesseq(v0, v2)) | ~ (lt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) = % 34.29/5.51 0) | ~ tree1(v1)) % 34.29/5.51 (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: tree1] % 34.29/5.51 : ! [v3: int] : (v1 = v0 | ~ (lt_tree1(v3, v2) = v1) | ~ (lt_tree1(v3, % 34.29/5.51 v2) = v0)) % 34.29/5.51 (5) $lesseq(1, $difference(all_76_34, all_76_40)) % 34.29/5.51 (6) lt_tree1(all_76_34, all_76_35) = 0 % 34.29/5.51 (7) tree1(all_76_41) % 34.29/5.51 (8) lt_tree1(all_76_40, all_76_41) = 0 % 34.29/5.51 (9) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ (lt_tree1(v0, % 34.29/5.51 v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] : % 34.29/5.51 ($lesseq(v0, v3) & memt1(v1, v3, v4) = 0)) % 34.29/5.51 % 34.29/5.51 Begin of proof % 34.29/5.51 | % 34.29/5.51 | BETA: splitting (1) gives: % 34.29/5.51 | % 34.29/5.51 | Case 1: % 34.29/5.51 | | % 34.29/5.51 | | (10) $lesseq(all_76_34, all_76_40) % 34.29/5.51 | | % 34.29/5.51 | | COMBINE_INEQS: (5), (10) imply: % 34.29/5.51 | | (11) $false % 34.29/5.51 | | % 34.29/5.51 | | CLOSE: (11) is inconsistent. % 34.29/5.51 | | % 34.29/5.51 | Case 2: % 34.29/5.51 | | % 34.29/5.51 | | (12) all_208_1 = 0 | ? [v0: any] : ? [v1: any] : (lt_tree1(all_76_34, % 34.29/5.51 | | all_76_35) = v1 & lt_tree1(all_76_34, all_76_41) = v0 & ( ~ (v1 % 34.29/5.51 | | = 0) | ~ (v0 = 0))) % 34.29/5.51 | | % 34.29/5.51 | | BETA: splitting (12) gives: % 34.29/5.51 | | % 34.29/5.51 | | Case 1: % 34.29/5.51 | | | % 34.29/5.51 | | | (13) all_208_1 = 0 % 34.29/5.51 | | | % 34.29/5.51 | | | REDUCE: (2), (13) imply: % 34.29/5.51 | | | (14) $false % 34.29/5.51 | | | % 34.29/5.51 | | | CLOSE: (14) is inconsistent. % 34.29/5.51 | | | % 34.29/5.51 | | Case 2: % 34.29/5.51 | | | % 34.29/5.51 | | | (15) ? [v0: any] : ? [v1: any] : (lt_tree1(all_76_34, all_76_35) = v1 % 34.29/5.51 | | | & lt_tree1(all_76_34, all_76_41) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 34.29/5.51 | | | 0))) % 34.29/5.51 | | | % 34.29/5.51 | | | DELTA: instantiating (15) with fresh symbols all_381_0, all_381_1 gives: % 34.29/5.51 | | | (16) lt_tree1(all_76_34, all_76_35) = all_381_0 & lt_tree1(all_76_34, % 34.29/5.51 | | | all_76_41) = all_381_1 & ( ~ (all_381_0 = 0) | ~ (all_381_1 = % 34.29/5.51 | | | 0)) % 34.29/5.51 | | | % 34.29/5.51 | | | ALPHA: (16) implies: % 34.29/5.51 | | | (17) lt_tree1(all_76_34, all_76_41) = all_381_1 % 34.29/5.51 | | | (18) lt_tree1(all_76_34, all_76_35) = all_381_0 % 34.29/5.51 | | | (19) ~ (all_381_0 = 0) | ~ (all_381_1 = 0) % 34.29/5.51 | | | % 34.29/5.52 | | | GROUND_INST: instantiating (4) with 0, all_381_0, all_76_35, all_76_34, % 34.29/5.52 | | | simplifying with (6), (18) gives: % 34.29/5.52 | | | (20) all_381_0 = 0 % 34.29/5.52 | | | % 34.29/5.52 | | | BETA: splitting (19) gives: % 34.29/5.52 | | | % 34.29/5.52 | | | Case 1: % 34.29/5.52 | | | | % 34.29/5.52 | | | | (21) ~ (all_381_0 = 0) % 34.29/5.52 | | | | % 34.29/5.52 | | | | REDUCE: (20), (21) imply: % 34.29/5.52 | | | | (22) $false % 34.29/5.52 | | | | % 34.29/5.52 | | | | CLOSE: (22) is inconsistent. % 34.29/5.52 | | | | % 34.29/5.52 | | | Case 2: % 34.29/5.52 | | | | % 34.29/5.52 | | | | (23) ~ (all_381_1 = 0) % 34.29/5.52 | | | | % 34.29/5.52 | | | | GROUND_INST: instantiating (9) with all_76_34, all_76_41, all_381_1, % 34.29/5.52 | | | | simplifying with (7), (17) gives: % 34.29/5.52 | | | | (24) all_381_1 = 0 | ? [v0: int] : ? [v1: int] : % 34.29/5.52 | | | | ($lesseq(all_76_34, v0) & memt1(all_76_41, v0, v1) = 0) % 34.29/5.52 | | | | % 34.29/5.52 | | | | BETA: splitting (24) gives: % 34.29/5.52 | | | | % 34.29/5.52 | | | | Case 1: % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | (25) all_381_1 = 0 % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | REDUCE: (23), (25) imply: % 34.29/5.52 | | | | | (26) $false % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | CLOSE: (26) is inconsistent. % 34.29/5.52 | | | | | % 34.29/5.52 | | | | Case 2: % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | (27) ? [v0: int] : ? [v1: int] : ($lesseq(all_76_34, v0) & % 34.29/5.52 | | | | | memt1(all_76_41, v0, v1) = 0) % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | DELTA: instantiating (27) with fresh symbols all_408_0, all_408_1 % 34.29/5.52 | | | | | gives: % 34.29/5.52 | | | | | (28) $lesseq(all_76_34, all_408_1) & memt1(all_76_41, all_408_1, % 34.29/5.52 | | | | | all_408_0) = 0 % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | ALPHA: (28) implies: % 34.29/5.52 | | | | | (29) $lesseq(all_76_34, all_408_1) % 34.29/5.52 | | | | | (30) memt1(all_76_41, all_408_1, all_408_0) = 0 % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | GROUND_INST: instantiating (3) with all_76_40, all_76_41, all_408_1, % 34.29/5.52 | | | | | all_408_0, simplifying with (7), (8), (30) gives: % 34.29/5.52 | | | | | (31) $lesseq(1, $difference(all_76_40, all_408_1)) % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | COMBINE_INEQS: (29), (31) imply: % 34.29/5.52 | | | | | (32) $lesseq(1, $difference(all_76_40, all_76_34)) % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | COMBINE_INEQS: (5), (32) imply: % 34.29/5.52 | | | | | (33) $false % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | CLOSE: (33) is inconsistent. % 34.29/5.52 | | | | | % 34.29/5.52 | | | | End of split % 34.29/5.52 | | | | % 34.29/5.52 | | | End of split % 34.29/5.52 | | | % 34.29/5.52 | | End of split % 34.29/5.52 | | % 34.29/5.52 | End of split % 34.29/5.52 | % 34.29/5.52 End of proof % 34.29/5.52 % 34.29/5.52 Sub-proof #3 shows that the following formulas are inconsistent: % 34.29/5.52 ---------------------------------------------------------------- % 34.29/5.52 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: tree1] % 34.29/5.52 : ! [v3: int] : (v1 = v0 | ~ (gt_tree1(v3, v2) = v1) | ~ (gt_tree1(v3, % 34.29/5.52 v2) = v0)) % 34.29/5.52 (2) gt_tree1(all_76_45, all_76_43) = 0 % 34.29/5.52 (3) tree1(all_76_43) % 34.29/5.52 (4) gt_tree1(all_76_34, all_76_32) = 0 % 34.29/5.52 (5) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : ! [v3: int] : ( ~ % 34.29/5.52 ($lesseq(v2, v0)) | ~ (gt_tree1(v0, v1) = 0) | ~ (memt1(v1, v2, v3) = % 34.29/5.52 0) | ~ tree1(v1)) % 34.29/5.52 (6) ~ (all_208_0 = 0) % 34.29/5.52 (7) ! [v0: int] : ! [v1: tree1] : ! [v2: int] : (v2 = 0 | ~ (gt_tree1(v0, % 34.29/5.52 v1) = v2) | ~ tree1(v1) | ? [v3: int] : ? [v4: int] : % 34.29/5.52 ($lesseq(v3, v0) & memt1(v1, v3, v4) = 0)) % 34.29/5.52 (8) all_208_0 = 0 | ~ ($lesseq(1, $difference(all_76_45, all_76_34))) | ? % 34.29/5.52 [v0: any] : ? [v1: any] : (gt_tree1(all_76_34, all_76_32) = v0 & % 34.29/5.52 gt_tree1(all_76_34, all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 34.29/5.52 (9) $lesseq(1, $difference(all_76_45, all_76_34)) % 34.29/5.52 % 34.29/5.52 Begin of proof % 34.29/5.52 | % 34.29/5.52 | BETA: splitting (8) gives: % 34.29/5.52 | % 34.29/5.52 | Case 1: % 34.29/5.52 | | % 34.29/5.52 | | (10) $lesseq(all_76_45, all_76_34) % 34.29/5.52 | | % 34.29/5.52 | | COMBINE_INEQS: (9), (10) imply: % 34.29/5.52 | | (11) $false % 34.29/5.52 | | % 34.29/5.52 | | CLOSE: (11) is inconsistent. % 34.29/5.52 | | % 34.29/5.52 | Case 2: % 34.29/5.52 | | % 34.29/5.52 | | (12) all_208_0 = 0 | ? [v0: any] : ? [v1: any] : (gt_tree1(all_76_34, % 34.29/5.52 | | all_76_32) = v0 & gt_tree1(all_76_34, all_76_43) = v1 & ( ~ (v1 % 34.29/5.52 | | = 0) | ~ (v0 = 0))) % 34.29/5.52 | | % 34.29/5.52 | | BETA: splitting (12) gives: % 34.29/5.52 | | % 34.29/5.52 | | Case 1: % 34.29/5.52 | | | % 34.29/5.52 | | | (13) all_208_0 = 0 % 34.29/5.52 | | | % 34.29/5.52 | | | REDUCE: (6), (13) imply: % 34.29/5.52 | | | (14) $false % 34.29/5.52 | | | % 34.29/5.52 | | | CLOSE: (14) is inconsistent. % 34.29/5.52 | | | % 34.29/5.52 | | Case 2: % 34.29/5.52 | | | % 34.29/5.52 | | | (15) ? [v0: any] : ? [v1: any] : (gt_tree1(all_76_34, all_76_32) = v0 % 34.29/5.52 | | | & gt_tree1(all_76_34, all_76_43) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 34.29/5.52 | | | 0))) % 34.29/5.52 | | | % 34.29/5.52 | | | DELTA: instantiating (15) with fresh symbols all_376_0, all_376_1 gives: % 34.29/5.52 | | | (16) gt_tree1(all_76_34, all_76_32) = all_376_1 & gt_tree1(all_76_34, % 34.29/5.52 | | | all_76_43) = all_376_0 & ( ~ (all_376_0 = 0) | ~ (all_376_1 = % 34.29/5.52 | | | 0)) % 34.29/5.52 | | | % 34.29/5.52 | | | ALPHA: (16) implies: % 34.29/5.52 | | | (17) gt_tree1(all_76_34, all_76_43) = all_376_0 % 34.29/5.52 | | | (18) gt_tree1(all_76_34, all_76_32) = all_376_1 % 34.29/5.52 | | | (19) ~ (all_376_0 = 0) | ~ (all_376_1 = 0) % 34.29/5.52 | | | % 34.29/5.52 | | | GROUND_INST: instantiating (1) with 0, all_376_1, all_76_32, all_76_34, % 34.29/5.52 | | | simplifying with (4), (18) gives: % 34.29/5.52 | | | (20) all_376_1 = 0 % 34.29/5.52 | | | % 34.29/5.52 | | | BETA: splitting (19) gives: % 34.29/5.52 | | | % 34.29/5.52 | | | Case 1: % 34.29/5.52 | | | | % 34.29/5.52 | | | | (21) ~ (all_376_0 = 0) % 34.29/5.52 | | | | % 34.29/5.52 | | | | GROUND_INST: instantiating (7) with all_76_34, all_76_43, all_376_0, % 34.29/5.52 | | | | simplifying with (3), (17) gives: % 34.29/5.52 | | | | (22) all_376_0 = 0 | ? [v0: int] : ? [v1: int] : ($lesseq(v0, % 34.29/5.52 | | | | all_76_34) & memt1(all_76_43, v0, v1) = 0) % 34.29/5.52 | | | | % 34.29/5.52 | | | | BETA: splitting (22) gives: % 34.29/5.52 | | | | % 34.29/5.52 | | | | Case 1: % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | (23) all_376_0 = 0 % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | REDUCE: (21), (23) imply: % 34.29/5.52 | | | | | (24) $false % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | CLOSE: (24) is inconsistent. % 34.29/5.52 | | | | | % 34.29/5.52 | | | | Case 2: % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | (25) ? [v0: int] : ? [v1: int] : ($lesseq(v0, all_76_34) & % 34.29/5.52 | | | | | memt1(all_76_43, v0, v1) = 0) % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | DELTA: instantiating (25) with fresh symbols all_402_0, all_402_1 % 34.29/5.52 | | | | | gives: % 34.29/5.52 | | | | | (26) $lesseq(all_402_1, all_76_34) & memt1(all_76_43, all_402_1, % 34.29/5.52 | | | | | all_402_0) = 0 % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | ALPHA: (26) implies: % 34.29/5.52 | | | | | (27) $lesseq(all_402_1, all_76_34) % 34.29/5.52 | | | | | (28) memt1(all_76_43, all_402_1, all_402_0) = 0 % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | GROUND_INST: instantiating (5) with all_76_45, all_76_43, all_402_1, % 34.29/5.52 | | | | | all_402_0, simplifying with (2), (3), (28) gives: % 34.29/5.52 | | | | | (29) $lesseq(1, $difference(all_402_1, all_76_45)) % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | COMBINE_INEQS: (27), (29) imply: % 34.29/5.52 | | | | | (30) $lesseq(1, $difference(all_76_34, all_76_45)) % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | COMBINE_INEQS: (9), (30) imply: % 34.29/5.52 | | | | | (31) $false % 34.29/5.52 | | | | | % 34.29/5.52 | | | | | CLOSE: (31) is inconsistent. % 34.29/5.52 | | | | | % 34.29/5.52 | | | | End of split % 34.29/5.52 | | | | % 34.29/5.52 | | | Case 2: % 34.29/5.52 | | | | % 34.29/5.52 | | | | (32) ~ (all_376_1 = 0) % 34.29/5.52 | | | | % 34.29/5.52 | | | | REDUCE: (20), (32) imply: % 34.29/5.52 | | | | (33) $false % 34.29/5.52 | | | | % 34.29/5.52 | | | | CLOSE: (33) is inconsistent. % 34.29/5.52 | | | | % 34.29/5.52 | | | End of split % 34.29/5.52 | | | % 34.29/5.52 | | End of split % 34.29/5.52 | | % 34.29/5.52 | End of split % 34.29/5.52 | % 34.29/5.52 End of proof % 34.29/5.52 % SZS output end Proof for theBenchmark % 34.29/5.52 % 34.29/5.52 4910ms %------------------------------------------------------------------------------