%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWX069+1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n004.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 : Tue Apr 1 02:15:31 AM UTC 2025 % Result : Theorem 183.86s 24.82s % Output : Proof 185.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWX069+1 : TPTP v9.1.0. Released v9.1.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n004.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon Mar 31 15:49:40 EDT 2025 % 0.13/0.33 % CPUTime : % 0.60/0.62 ________ _____ % 0.60/0.62 ___ __ \_________(_)________________________________ % 0.60/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.60/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.60/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.60/0.62 % 0.60/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.60/0.62 (2023-06-19) % 0.60/0.62 % 0.60/0.62 (c) Philipp Rümmer, 2009-2023 % 0.60/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.60/0.62 Amanda Stjerna. % 0.60/0.62 Free software under BSD-3-Clause. % 0.60/0.62 % 0.60/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.60/0.62 % 0.67/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.71/0.64 Running up to 7 provers in parallel. % 0.71/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 6.58/1.68 Prover 4: Preprocessing ... % 7.06/1.70 Prover 1: Preprocessing ... % 7.06/1.72 Prover 6: Preprocessing ... % 7.06/1.72 Prover 5: Preprocessing ... % 7.06/1.72 Prover 2: Preprocessing ... % 7.06/1.72 Prover 3: Preprocessing ... % 7.06/1.72 Prover 0: Preprocessing ... % 18.04/3.14 Prover 5: Proving ... % 19.09/3.29 Prover 1: Constructing countermodel ... % 19.37/3.34 Prover 6: Proving ... % 19.58/3.39 Prover 3: Constructing countermodel ... % 20.24/3.43 Prover 2: Proving ... % 20.24/3.45 Prover 4: Constructing countermodel ... % 22.97/3.79 Prover 0: Proving ... % 74.00/10.32 Prover 2: stopped % 74.00/10.32 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 76.15/10.60 Prover 7: Preprocessing ... % 80.06/11.12 Prover 7: Warning: ignoring some quantifiers % 80.78/11.18 Prover 7: Constructing countermodel ... % 102.41/13.99 Prover 5: stopped % 102.41/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 104.35/14.21 Prover 8: Preprocessing ... % 105.61/14.45 Prover 8: Warning: ignoring some quantifiers % 106.38/14.48 Prover 8: Constructing countermodel ... % 118.34/16.00 Prover 1: stopped % 118.34/16.01 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 119.54/16.15 Prover 9: Preprocessing ... % 123.06/16.64 Prover 9: Constructing countermodel ... % 133.03/17.90 Prover 6: stopped % 133.03/17.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 134.33/18.11 Prover 10: Preprocessing ... % 136.45/18.34 Prover 10: Warning: ignoring some quantifiers % 136.45/18.36 Prover 10: Constructing countermodel ... % 183.86/24.80 Prover 10: Found proof (size 546) % 183.86/24.80 Prover 10: proved (6896ms) % 183.86/24.80 Prover 3: stopped % 183.86/24.80 Prover 9: stopped % 183.86/24.80 Prover 7: stopped % 183.86/24.81 Prover 8: stopped % 183.86/24.81 Prover 4: stopped % 183.86/24.82 Prover 0: stopped % 183.86/24.82 % 183.86/24.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 183.86/24.82 % 184.48/24.84 % SZS output start Proof for theBenchmark % 184.48/24.85 Assumptions after simplification: % 184.48/24.85 --------------------------------- % 184.48/24.85 % 184.48/24.85 (id26) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (neg(v1) = v2) | ~ (p(v0) = v2) % 184.48/24.88 | ~ $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id27) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (and(v1, v2) = v3) % 184.48/24.88 | ~ (p(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id28) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (or(v1, v2) = v3) % 184.48/24.88 | ~ (p(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id29) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (neg(v1) = v2) | ~ % 184.48/24.88 (neg(v0) = v2) | ~ $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id30) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (and(v1, v2) = v3) % 184.48/24.88 | ~ (neg(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id31) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (or(v1, v2) = v3) % 184.48/24.88 | ~ (neg(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id32) % 184.48/24.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 % 184.48/24.88 | ~ (and(v2, v3) = v4) | ~ (and(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 184.48/24.88 $i(v1) | ~ $i(v0)) % 184.48/24.88 % 184.48/24.88 (id33) % 184.48/24.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 % 184.48/24.89 | ~ (and(v2, v3) = v4) | ~ (and(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 184.48/24.89 $i(v1) | ~ $i(v0)) % 184.48/24.89 % 184.48/24.89 (id34) % 184.48/24.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 184.48/24.89 (or(v2, v3) = v4) | ~ (and(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 184.48/24.89 $i(v1) | ~ $i(v0)) % 184.48/24.89 % 184.48/24.89 (id35) % 184.48/24.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 % 184.48/24.89 | ~ (or(v2, v3) = v4) | ~ (or(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 184.48/24.89 $i(v1) | ~ $i(v0)) % 184.48/24.89 % 184.48/24.89 (id36) % 184.48/24.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 % 184.48/24.89 | ~ (or(v2, v3) = v4) | ~ (or(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 184.48/24.89 $i(v1) | ~ $i(v0)) % 184.48/24.89 % 184.48/24.89 (id74) % 184.73/24.91 $i(0) & $i(1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 184.73/24.91 (or(v2, v3) = v0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 184.73/24.91 eval_succeeds(v3, v1, 0) | ~ eval_succeeds(v2, v1, 0) | eval_succeeds(v0, % 184.73/24.91 v1, 0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 184.73/24.91 (or(v2, v3) = v0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 184.73/24.91 eval_succeeds(v3, v1, 1) | eval_succeeds(v0, v1, 1)) & ! [v0: $i] : ! [v1: % 184.73/24.91 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (or(v2, v3) = v0) | ~ $i(v3) | ~ % 184.73/24.91 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ eval_succeeds(v2, v1, 1) | % 184.73/24.91 eval_succeeds(v0, v1, 1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 184.73/24.91 [v3: $i] : ( ~ (and(v2, v3) = v0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 184.73/24.91 $i(v0) | ~ eval_succeeds(v3, v1, 0) | eval_succeeds(v0, v1, 0)) & ! [v0: % 184.73/24.91 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (and(v2, v3) = v0) | ~ % 184.73/24.91 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ eval_succeeds(v3, v1, 1) | % 184.73/24.91 ~ eval_succeeds(v2, v1, 1) | eval_succeeds(v0, v1, 1)) & ! [v0: $i] : ! % 184.73/24.91 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (and(v2, v3) = v0) | ~ $i(v3) | ~ % 184.73/24.91 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ eval_succeeds(v2, v1, 0) | % 184.73/24.91 eval_succeeds(v0, v1, 0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 184.73/24.91 (neg(v2) = v0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ eval_succeeds(v2, % 184.73/24.91 v1, 0) | eval_succeeds(v0, v1, 1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 184.73/24.91 $i] : ( ~ (neg(v2) = v0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 184.73/24.91 eval_succeeds(v2, v1, 1) | eval_succeeds(v0, v1, 0)) & ! [v0: $i] : ! [v1: % 184.73/24.91 $i] : ! [v2: $i] : ( ~ (p(v2) = v0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 184.73/24.91 ~ member_succeeds(v0, v1) | eval_succeeds(v0, v1, 1)) & ! [v0: $i] : ! % 184.73/24.91 [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 184.73/24.91 eval_succeeds(v0, v1, v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? % 184.73/24.91 [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: % 184.73/24.91 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: % 184.73/24.91 $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: % 184.73/24.91 $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: % 184.73/24.91 $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ($i(v28) & $i(v27) & % 184.73/24.91 $i(v25) & $i(v24) & $i(v22) & $i(v21) & $i(v19) & $i(v18) & $i(v16) & % 184.73/24.91 $i(v15) & $i(v13) & $i(v12) & $i(v10) & $i(v8) & $i(v5) & $i(v3) & ((v29 = % 184.73/24.91 v0 & v2 = 0 & or(v27, v28) = v0 & eval_succeeds(v28, v1, 0) & % 184.73/24.91 eval_succeeds(v27, v1, 0)) | (v26 = v0 & v2 = 1 & or(v24, v25) = v0 & % 184.73/24.91 eval_succeeds(v25, v1, 1)) | (v23 = v0 & v2 = 1 & or(v21, v22) = v0 & % 184.73/24.91 eval_succeeds(v21, v1, 1)) | (v20 = v0 & v2 = 0 & and(v18, v19) = v0 & % 184.73/24.91 eval_succeeds(v19, v1, 0)) | (v17 = v0 & v2 = 0 & and(v15, v16) = v0 & % 184.73/24.91 eval_succeeds(v15, v1, 0)) | (v14 = v0 & v2 = 1 & and(v12, v13) = v0 & % 184.73/24.91 eval_succeeds(v13, v1, 1) & eval_succeeds(v12, v1, 1)) | (v11 = v0 & % 184.73/24.91 v2 = 0 & neg(v10) = v0 & eval_succeeds(v10, v1, 1)) | (v9 = v0 & v2 = % 184.73/24.91 1 & neg(v8) = v0 & eval_succeeds(v8, v1, 0)) | (v6 = v0 & v2 = 0 & % 184.73/24.91 neg(v0) = v7 & p(v5) = v0 & $i(v7) & member_succeeds(v7, v1)) | (v4 = % 184.73/24.91 v0 & v2 = 1 & p(v3) = v0 & member_succeeds(v0, v1))))) & ? [v0: $i] : % 184.73/24.91 ! [v1: $i] : ! [v2: $i] : ( ~ (p(v2) = v1) | ~ $i(v2) | ~ $i(v1) | ~ % 184.73/24.91 $i(v0) | eval_succeeds(v1, v0, 0) | ? [v3: $i] : (neg(v1) = v3 & $i(v3) & % 184.73/24.91 ~ member_succeeds(v3, v0))) % 184.73/24.91 % 184.73/24.91 (induction) % 184.73/24.92 $i(0) & $i(1) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 184.73/24.92 [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] % 184.73/24.92 : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 184.73/24.92 ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? % 184.73/24.92 [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? % 184.73/24.92 [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? % 184.73/24.92 [v30: $i] : ($i(v29) & $i(v28) & $i(v26) & $i(v25) & $i(v23) & $i(v22) & % 184.73/24.92 $i(v20) & $i(v19) & $i(v17) & $i(v16) & $i(v14) & $i(v13) & $i(v11) & $i(v9) % 184.73/24.92 & $i(v6) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ! [v31: $i] : ! % 184.73/24.92 [v32: $i] : ! [v33: $i] : ! [v34: $i] : (v34 = v33 | ~ $i(v34) | ~ % 184.73/24.92 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ interpretation_succeeds(v32) | ~ % 184.73/24.92 eval_succeeds(v31, v32, v34) | ~ eval_succeeds(v31, v32, v33)) | ( ~ % 184.73/24.92 (v3 = v2) & interpretation_succeeds(v1) & eval_succeeds(v0, v1, v3) & % 184.73/24.92 ((v30 = v0 & v2 = 0 & or(v28, v29) = v0 & eval_succeeds(v29, v1, 0) & % 184.73/24.92 eval_succeeds(v28, v1, 0) & ! [v31: $i] : (v31 = 0 | ~ $i(v31) | % 184.73/24.92 ~ eval_succeeds(v29, v1, v31)) & ! [v31: $i] : (v31 = 0 | ~ % 184.73/24.92 $i(v31) | ~ eval_succeeds(v28, v1, v31))) | (v27 = v0 & v2 = 1 & % 184.73/24.92 or(v25, v26) = v0 & eval_succeeds(v26, v1, 1) & ! [v31: $i] : (v31 % 184.73/24.92 = 1 | ~ $i(v31) | ~ eval_succeeds(v26, v1, v31))) | (v24 = v0 & % 184.73/24.92 v2 = 1 & or(v22, v23) = v0 & eval_succeeds(v22, v1, 1) & ! [v31: % 184.73/24.92 $i] : (v31 = 1 | ~ $i(v31) | ~ eval_succeeds(v22, v1, v31))) | % 184.73/24.92 (v21 = v0 & v2 = 0 & and(v19, v20) = v0 & eval_succeeds(v20, v1, 0) & % 184.73/24.92 ! [v31: $i] : (v31 = 0 | ~ $i(v31) | ~ eval_succeeds(v20, v1, % 184.73/24.92 v31))) | (v18 = v0 & v2 = 0 & and(v16, v17) = v0 & % 184.73/24.92 eval_succeeds(v16, v1, 0) & ! [v31: $i] : (v31 = 0 | ~ $i(v31) | % 184.73/24.92 ~ eval_succeeds(v16, v1, v31))) | (v15 = v0 & v2 = 1 & and(v13, % 184.73/24.92 v14) = v0 & eval_succeeds(v14, v1, 1) & eval_succeeds(v13, v1, 1) % 184.73/24.92 & ! [v31: $i] : (v31 = 1 | ~ $i(v31) | ~ eval_succeeds(v14, v1, % 184.73/24.92 v31)) & ! [v31: $i] : (v31 = 1 | ~ $i(v31) | ~ % 184.73/24.92 eval_succeeds(v13, v1, v31))) | (v12 = v0 & v2 = 0 & neg(v11) = v0 % 184.73/24.92 & eval_succeeds(v11, v1, 1) & ! [v31: $i] : (v31 = 1 | ~ $i(v31) | % 184.73/24.92 ~ eval_succeeds(v11, v1, v31))) | (v10 = v0 & v2 = 1 & neg(v9) = % 184.73/24.92 v0 & eval_succeeds(v9, v1, 0) & ! [v31: $i] : (v31 = 0 | ~ $i(v31) % 184.73/24.92 | ~ eval_succeeds(v9, v1, v31))) | (v7 = v0 & v2 = 0 & neg(v0) = % 184.73/24.92 v8 & p(v6) = v0 & $i(v8) & member_succeeds(v8, v1)) | (v5 = v0 & v2 % 184.73/24.92 = 1 & p(v4) = v0 & member_succeeds(v0, v1)))))) % 184.73/24.92 % 184.73/24.92 (lemma-(eval:function)) % 184.73/24.92 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) & $i(v3) % 184.73/24.92 & $i(v2) & $i(v1) & $i(v0) & interpretation_succeeds(v1) & eval_succeeds(v0, % 184.73/24.92 v1, v3) & eval_succeeds(v0, v1, v2)) % 184.73/24.92 % 184.73/24.92 (lemma-(interpretation:elimination)) % 184.73/24.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (p(v1) = v2) | ~ $i(v1) | ~ % 184.73/24.92 $i(v0) | ~ member_succeeds(v2, v0) | ~ interpretation_succeeds(v0) | ? % 184.73/24.92 [v3: $i] : (neg(v2) = v3 & $i(v3) & ~ member_succeeds(v3, v0))) & ! [v0: % 184.73/24.92 $i] : ( ~ $i(v0) | ~ interpretation_succeeds(v0) | % 184.73/24.92 literal_list_succeeds(v0)) % 184.73/24.92 % 184.73/24.92 (function-axioms) % 184.73/24.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (or(v3, % 184.73/24.92 v2) = v1) | ~ (or(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 184.73/24.92 $i] : ! [v3: $i] : (v1 = v0 | ~ (and(v3, v2) = v1) | ~ (and(v3, v2) = % 184.73/24.92 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 184.73/24.92 ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 184.73/24.92 : ! [v2: $i] : (v1 = v0 | ~ (neg(v2) = v1) | ~ (neg(v2) = v0)) & ! [v0: % 184.73/24.92 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = % 184.73/24.92 v0)) % 184.73/24.92 % 184.73/24.92 Further assumptions not needed in the proof: % 184.73/24.92 -------------------------------------------- % 184.73/24.92 corollary-(eval:sub), corollary-(false:gr), corollary-(false:interpretation), % 184.73/24.92 corollary-(false:literal_list), corollary-(false:sub), % 184.73/24.92 corollary-(interpretation:(neg):failure), % 184.73/24.92 corollary-(interpretation:pos:failure), corollary-(satisfiable:termination), % 184.73/24.92 corollary-(true:gr), corollary-(true:interpretation), % 184.73/24.92 corollary-(true:literal_list), corollary-(true:sub), id1, id10, id100, id101, % 184.73/24.92 id102, id103, id104, id105, id106, id107, id108, id109, id11, id12, id13, id14, % 184.73/24.92 id15, id16, id17, id18, id19, id2, id20, id21, id22, id23, id24, id25, id3, % 184.73/24.92 id37, id38, id39, id4, id40, id41, id42, id43, id44, id45, id46, id47, id48, % 184.73/24.92 id49, id5, id50, id51, id52, id53, id54, id55, id56, id57, id58, id59, id6, % 184.73/24.92 id60, id61, id62, id63, id64, id65, id66, id67, id68, id69, id7, id70, id71, % 184.73/24.92 id72, id73, id75, id76, id77, id78, id79, id8, id80, id81, id82, id83, id84, % 184.73/24.92 id85, id86, id87, id88, id89, id9, id90, id91, id92, id93, id94, id95, id96, % 184.73/24.92 id97, id98, id99, lemma-(eval:sub), lemma-(eval:termination), lemma-(eval:tnd), % 184.73/24.92 lemma-(incon:termination), lemma-(interpretation:(neg):success), % 184.73/24.92 lemma-(interpretation:introduction), lemma-(interpretation:nil), % 184.73/24.92 lemma-(interpretation:pos:success), lemma-(literal_list:list), % 184.73/24.92 lemma-(member:success:no), lemma-(member:termination), lemma-(sub:cons), % 184.73/24.92 lemma-(sub:member), lemma-(sub:nil), lemma-(sub:trans), lemma-(true:false:gr), % 184.73/24.92 lemma-(true:termination), lemma-(truefalse:eval), % 184.73/24.92 lemma-(truefalse:interpretation:literal_list:sub), sub/2, % 184.73/24.92 theorem-(valid:termination) % 184.73/24.92 % 184.73/24.92 Those formulas are unsatisfiable: % 184.73/24.92 --------------------------------- % 184.73/24.92 % 184.73/24.92 Begin of proof % 184.73/24.93 | % 184.73/24.93 | ALPHA: (id74) implies: % 184.73/24.93 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 184.73/24.93 | $i(v0) | ~ eval_succeeds(v0, v1, v2) | ? [v3: $i] : ? [v4: $i] : % 184.73/24.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 184.73/24.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 184.73/24.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : % 184.73/24.93 | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: % 184.73/24.93 | $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : % 184.73/24.93 | ? [v28: $i] : ? [v29: $i] : ($i(v28) & $i(v27) & $i(v25) & $i(v24) & % 184.73/24.93 | $i(v22) & $i(v21) & $i(v19) & $i(v18) & $i(v16) & $i(v15) & $i(v13) % 184.73/24.93 | & $i(v12) & $i(v10) & $i(v8) & $i(v5) & $i(v3) & ((v29 = v0 & v2 = % 184.73/24.93 | 0 & or(v27, v28) = v0 & eval_succeeds(v28, v1, 0) & % 184.73/24.93 | eval_succeeds(v27, v1, 0)) | (v26 = v0 & v2 = 1 & or(v24, v25) % 184.73/24.93 | = v0 & eval_succeeds(v25, v1, 1)) | (v23 = v0 & v2 = 1 & % 184.73/24.93 | or(v21, v22) = v0 & eval_succeeds(v21, v1, 1)) | (v20 = v0 & v2 % 184.73/24.93 | = 0 & and(v18, v19) = v0 & eval_succeeds(v19, v1, 0)) | (v17 = % 184.73/24.93 | v0 & v2 = 0 & and(v15, v16) = v0 & eval_succeeds(v15, v1, 0)) | % 184.73/24.93 | (v14 = v0 & v2 = 1 & and(v12, v13) = v0 & eval_succeeds(v13, v1, % 184.73/24.93 | 1) & eval_succeeds(v12, v1, 1)) | (v11 = v0 & v2 = 0 & % 184.73/24.93 | neg(v10) = v0 & eval_succeeds(v10, v1, 1)) | (v9 = v0 & v2 = 1 % 184.73/24.93 | & neg(v8) = v0 & eval_succeeds(v8, v1, 0)) | (v6 = v0 & v2 = 0 % 184.73/24.93 | & neg(v0) = v7 & p(v5) = v0 & $i(v7) & member_succeeds(v7, v1)) % 184.73/24.93 | | (v4 = v0 & v2 = 1 & p(v3) = v0 & member_succeeds(v0, v1))))) % 184.73/24.93 | % 184.73/24.93 | ALPHA: (lemma-(interpretation:elimination)) implies: % 184.73/24.93 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (p(v1) = v2) | ~ $i(v1) % 184.73/24.93 | | ~ $i(v0) | ~ member_succeeds(v2, v0) | ~ % 184.73/24.93 | interpretation_succeeds(v0) | ? [v3: $i] : (neg(v2) = v3 & $i(v3) & % 184.73/24.93 | ~ member_succeeds(v3, v0))) % 184.73/24.93 | % 184.73/24.93 | ALPHA: (induction) implies: % 184.73/24.94 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 184.73/24.94 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 184.73/24.94 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 184.73/24.94 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 184.73/24.94 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 184.73/24.94 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : % 184.73/24.94 | ? [v29: $i] : ? [v30: $i] : ($i(v29) & $i(v28) & $i(v26) & $i(v25) & % 184.73/24.94 | $i(v23) & $i(v22) & $i(v20) & $i(v19) & $i(v17) & $i(v16) & $i(v14) & % 184.73/24.94 | $i(v13) & $i(v11) & $i(v9) & $i(v6) & $i(v4) & $i(v3) & $i(v2) & % 184.73/24.94 | $i(v1) & $i(v0) & ( ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! % 184.73/24.94 | [v34: $i] : (v34 = v33 | ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 184.73/24.94 | $i(v31) | ~ interpretation_succeeds(v32) | ~ eval_succeeds(v31, % 184.73/24.94 | v32, v34) | ~ eval_succeeds(v31, v32, v33)) | ( ~ (v3 = v2) & % 184.73/24.94 | interpretation_succeeds(v1) & eval_succeeds(v0, v1, v3) & ((v30 = % 184.73/24.94 | v0 & v2 = 0 & or(v28, v29) = v0 & eval_succeeds(v29, v1, 0) & % 184.73/24.94 | eval_succeeds(v28, v1, 0) & ! [v31: $i] : (v31 = 0 | ~ % 184.73/24.94 | $i(v31) | ~ eval_succeeds(v29, v1, v31)) & ! [v31: $i] : % 184.73/24.94 | (v31 = 0 | ~ $i(v31) | ~ eval_succeeds(v28, v1, v31))) | % 184.73/24.94 | (v27 = v0 & v2 = 1 & or(v25, v26) = v0 & eval_succeeds(v26, v1, % 184.73/24.94 | 1) & ! [v31: $i] : (v31 = 1 | ~ $i(v31) | ~ % 184.73/24.94 | eval_succeeds(v26, v1, v31))) | (v24 = v0 & v2 = 1 & % 184.73/24.94 | or(v22, v23) = v0 & eval_succeeds(v22, v1, 1) & ! [v31: $i] % 184.73/24.94 | : (v31 = 1 | ~ $i(v31) | ~ eval_succeeds(v22, v1, v31))) | % 184.73/24.94 | (v21 = v0 & v2 = 0 & and(v19, v20) = v0 & eval_succeeds(v20, % 184.73/24.94 | v1, 0) & ! [v31: $i] : (v31 = 0 | ~ $i(v31) | ~ % 184.73/24.94 | eval_succeeds(v20, v1, v31))) | (v18 = v0 & v2 = 0 & % 184.73/24.94 | and(v16, v17) = v0 & eval_succeeds(v16, v1, 0) & ! [v31: $i] % 184.73/24.94 | : (v31 = 0 | ~ $i(v31) | ~ eval_succeeds(v16, v1, v31))) | % 184.73/24.94 | (v15 = v0 & v2 = 1 & and(v13, v14) = v0 & eval_succeeds(v14, % 184.73/24.94 | v1, 1) & eval_succeeds(v13, v1, 1) & ! [v31: $i] : (v31 = % 184.73/24.94 | 1 | ~ $i(v31) | ~ eval_succeeds(v14, v1, v31)) & ! [v31: % 184.73/24.94 | $i] : (v31 = 1 | ~ $i(v31) | ~ eval_succeeds(v13, v1, % 184.73/24.94 | v31))) | (v12 = v0 & v2 = 0 & neg(v11) = v0 & % 184.73/24.94 | eval_succeeds(v11, v1, 1) & ! [v31: $i] : (v31 = 1 | ~ % 184.73/24.94 | $i(v31) | ~ eval_succeeds(v11, v1, v31))) | (v10 = v0 & v2 % 184.73/24.94 | = 1 & neg(v9) = v0 & eval_succeeds(v9, v1, 0) & ! [v31: $i] % 184.73/24.94 | : (v31 = 0 | ~ $i(v31) | ~ eval_succeeds(v9, v1, v31))) | % 184.73/24.94 | (v7 = v0 & v2 = 0 & neg(v0) = v8 & p(v6) = v0 & $i(v8) & % 184.73/24.94 | member_succeeds(v8, v1)) | (v5 = v0 & v2 = 1 & p(v4) = v0 & % 184.73/24.94 | member_succeeds(v0, v1)))))) % 184.73/24.94 | % 184.73/24.94 | ALPHA: (function-axioms) implies: % 184.73/24.94 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (neg(v2) = v1) % 184.73/24.94 | | ~ (neg(v2) = v0)) % 184.73/24.94 | % 184.73/24.94 | DELTA: instantiating (lemma-(eval:function)) with fresh symbols all_154_0, % 184.73/24.94 | all_154_1, all_154_2, all_154_3 gives: % 184.73/24.94 | (5) ~ (all_154_0 = all_154_1) & $i(all_154_0) & $i(all_154_1) & % 184.73/24.94 | $i(all_154_2) & $i(all_154_3) & interpretation_succeeds(all_154_2) & % 184.73/24.94 | eval_succeeds(all_154_3, all_154_2, all_154_0) & % 184.73/24.94 | eval_succeeds(all_154_3, all_154_2, all_154_1) % 184.73/24.94 | % 184.73/24.94 | ALPHA: (5) implies: % 184.73/24.95 | (6) ~ (all_154_0 = all_154_1) % 184.73/24.95 | (7) eval_succeeds(all_154_3, all_154_2, all_154_1) % 184.73/24.95 | (8) eval_succeeds(all_154_3, all_154_2, all_154_0) % 184.73/24.95 | (9) interpretation_succeeds(all_154_2) % 184.73/24.95 | (10) $i(all_154_3) % 184.73/24.95 | (11) $i(all_154_2) % 184.73/24.95 | (12) $i(all_154_1) % 184.73/24.95 | (13) $i(all_154_0) % 184.73/24.95 | % 184.73/24.95 | DELTA: instantiating (3) with fresh symbols all_189_0, all_189_1, all_189_2, % 184.73/24.95 | all_189_3, all_189_4, all_189_5, all_189_6, all_189_7, all_189_8, % 184.73/24.95 | all_189_9, all_189_10, all_189_11, all_189_12, all_189_13, all_189_14, % 184.73/24.95 | all_189_15, all_189_16, all_189_17, all_189_18, all_189_19, all_189_20, % 184.73/24.95 | all_189_21, all_189_22, all_189_23, all_189_24, all_189_25, all_189_26, % 184.73/24.95 | all_189_27, all_189_28, all_189_29, all_189_30 gives: % 184.73/24.95 | (14) $i(all_189_1) & $i(all_189_2) & $i(all_189_4) & $i(all_189_5) & % 184.73/24.95 | $i(all_189_7) & $i(all_189_8) & $i(all_189_10) & $i(all_189_11) & % 184.73/24.95 | $i(all_189_13) & $i(all_189_14) & $i(all_189_16) & $i(all_189_17) & % 184.73/24.95 | $i(all_189_19) & $i(all_189_21) & $i(all_189_24) & $i(all_189_26) & % 184.73/24.95 | $i(all_189_27) & $i(all_189_28) & $i(all_189_29) & $i(all_189_30) & ( % 184.73/24.95 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ % 184.73/24.95 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 184.73/24.95 | interpretation_succeeds(v1) | ~ eval_succeeds(v0, v1, v3) | ~ % 184.73/24.95 | eval_succeeds(v0, v1, v2)) | ( ~ (all_189_27 = all_189_28) & % 184.73/24.95 | interpretation_succeeds(all_189_29) & eval_succeeds(all_189_30, % 184.73/24.95 | all_189_29, all_189_27) & ((all_189_0 = all_189_30 & all_189_28 % 184.73/24.95 | = 0 & or(all_189_2, all_189_1) = all_189_30 & % 184.73/24.95 | eval_succeeds(all_189_1, all_189_29, 0) & % 184.73/24.95 | eval_succeeds(all_189_2, all_189_29, 0) & ! [v0: $i] : (v0 = % 184.73/24.95 | 0 | ~ $i(v0) | ~ eval_succeeds(all_189_1, all_189_29, v0)) % 184.73/24.95 | & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 184.73/24.95 | eval_succeeds(all_189_2, all_189_29, v0))) | (all_189_3 = % 184.73/24.95 | all_189_30 & all_189_28 = 1 & or(all_189_5, all_189_4) = % 184.73/24.95 | all_189_30 & eval_succeeds(all_189_4, all_189_29, 1) & ! [v0: % 184.73/24.95 | $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_4, % 184.73/24.95 | all_189_29, v0))) | (all_189_6 = all_189_30 & all_189_28 = % 184.73/24.95 | 1 & or(all_189_8, all_189_7) = all_189_30 & % 184.73/24.95 | eval_succeeds(all_189_8, all_189_29, 1) & ! [v0: $i] : (v0 = % 184.73/24.95 | 1 | ~ $i(v0) | ~ eval_succeeds(all_189_8, all_189_29, % 184.73/24.95 | v0))) | (all_189_9 = all_189_30 & all_189_28 = 0 & % 184.73/24.95 | and(all_189_11, all_189_10) = all_189_30 & % 184.73/24.95 | eval_succeeds(all_189_10, all_189_29, 0) & ! [v0: $i] : (v0 = % 184.73/24.95 | 0 | ~ $i(v0) | ~ eval_succeeds(all_189_10, all_189_29, % 184.73/24.95 | v0))) | (all_189_12 = all_189_30 & all_189_28 = 0 & % 184.73/24.95 | and(all_189_14, all_189_13) = all_189_30 & % 184.73/24.95 | eval_succeeds(all_189_14, all_189_29, 0) & ! [v0: $i] : (v0 = % 184.73/24.95 | 0 | ~ $i(v0) | ~ eval_succeeds(all_189_14, all_189_29, % 184.73/24.95 | v0))) | (all_189_15 = all_189_30 & all_189_28 = 1 & % 184.73/24.95 | and(all_189_17, all_189_16) = all_189_30 & % 184.73/24.95 | eval_succeeds(all_189_16, all_189_29, 1) & % 184.73/24.95 | eval_succeeds(all_189_17, all_189_29, 1) & ! [v0: $i] : (v0 = % 184.73/24.95 | 1 | ~ $i(v0) | ~ eval_succeeds(all_189_16, all_189_29, % 184.73/24.95 | v0)) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 184.73/24.95 | eval_succeeds(all_189_17, all_189_29, v0))) | (all_189_18 = % 184.73/24.95 | all_189_30 & all_189_28 = 0 & neg(all_189_19) = all_189_30 & % 184.73/24.95 | eval_succeeds(all_189_19, all_189_29, 1) & ! [v0: $i] : (v0 = % 184.73/24.95 | 1 | ~ $i(v0) | ~ eval_succeeds(all_189_19, all_189_29, % 184.73/24.95 | v0))) | (all_189_20 = all_189_30 & all_189_28 = 1 & % 184.73/24.95 | neg(all_189_21) = all_189_30 & eval_succeeds(all_189_21, % 184.73/24.95 | all_189_29, 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 184.73/24.95 | eval_succeeds(all_189_21, all_189_29, v0))) | (all_189_23 = % 185.02/24.96 | all_189_30 & all_189_28 = 0 & neg(all_189_30) = all_189_22 & % 185.02/24.96 | p(all_189_24) = all_189_30 & $i(all_189_22) & % 185.02/24.96 | member_succeeds(all_189_22, all_189_29)) | (all_189_25 = % 185.02/24.96 | all_189_30 & all_189_28 = 1 & p(all_189_26) = all_189_30 & % 185.02/24.96 | member_succeeds(all_189_30, all_189_29))))) % 185.02/24.96 | % 185.02/24.96 | ALPHA: (14) implies: % 185.02/24.96 | (15) $i(all_189_30) % 185.02/24.96 | (16) $i(all_189_29) % 185.02/24.96 | (17) $i(all_189_28) % 185.02/24.96 | (18) $i(all_189_27) % 185.02/24.96 | (19) $i(all_189_26) % 185.02/24.96 | (20) $i(all_189_24) % 185.02/24.96 | (21) $i(all_189_21) % 185.02/24.96 | (22) $i(all_189_19) % 185.02/24.96 | (23) $i(all_189_17) % 185.02/24.96 | (24) $i(all_189_16) % 185.02/24.96 | (25) $i(all_189_14) % 185.02/24.96 | (26) $i(all_189_13) % 185.02/24.96 | (27) $i(all_189_11) % 185.02/24.96 | (28) $i(all_189_10) % 185.02/24.96 | (29) $i(all_189_8) % 185.02/24.96 | (30) $i(all_189_7) % 185.02/24.96 | (31) $i(all_189_5) % 185.02/24.96 | (32) $i(all_189_4) % 185.02/24.96 | (33) $i(all_189_2) % 185.02/24.96 | (34) $i(all_189_1) % 185.02/24.96 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ % 185.02/24.96 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 185.02/24.96 | interpretation_succeeds(v1) | ~ eval_succeeds(v0, v1, v3) | ~ % 185.02/24.96 | eval_succeeds(v0, v1, v2)) | ( ~ (all_189_27 = all_189_28) & % 185.02/24.96 | interpretation_succeeds(all_189_29) & eval_succeeds(all_189_30, % 185.02/24.96 | all_189_29, all_189_27) & ((all_189_0 = all_189_30 & all_189_28 = % 185.02/24.96 | 0 & or(all_189_2, all_189_1) = all_189_30 & % 185.02/24.96 | eval_succeeds(all_189_1, all_189_29, 0) & % 185.02/24.96 | eval_succeeds(all_189_2, all_189_29, 0) & ! [v0: $i] : (v0 = 0 % 185.02/24.96 | | ~ $i(v0) | ~ eval_succeeds(all_189_1, all_189_29, v0)) & % 185.02/24.96 | ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_2, % 185.02/24.96 | all_189_29, v0))) | (all_189_3 = all_189_30 & all_189_28 = 1 % 185.02/24.96 | & or(all_189_5, all_189_4) = all_189_30 & % 185.02/24.96 | eval_succeeds(all_189_4, all_189_29, 1) & ! [v0: $i] : (v0 = 1 % 185.02/24.96 | | ~ $i(v0) | ~ eval_succeeds(all_189_4, all_189_29, v0))) | % 185.02/24.96 | (all_189_6 = all_189_30 & all_189_28 = 1 & or(all_189_8, % 185.02/24.96 | all_189_7) = all_189_30 & eval_succeeds(all_189_8, all_189_29, % 185.02/24.96 | 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/24.96 | eval_succeeds(all_189_8, all_189_29, v0))) | (all_189_9 = % 185.02/24.96 | all_189_30 & all_189_28 = 0 & and(all_189_11, all_189_10) = % 185.02/24.96 | all_189_30 & eval_succeeds(all_189_10, all_189_29, 0) & ! [v0: % 185.02/24.96 | $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_10, % 185.02/24.96 | all_189_29, v0))) | (all_189_12 = all_189_30 & all_189_28 = % 185.02/24.96 | 0 & and(all_189_14, all_189_13) = all_189_30 & % 185.02/24.96 | eval_succeeds(all_189_14, all_189_29, 0) & ! [v0: $i] : (v0 = 0 % 185.02/24.96 | | ~ $i(v0) | ~ eval_succeeds(all_189_14, all_189_29, v0))) | % 185.02/24.97 | (all_189_15 = all_189_30 & all_189_28 = 1 & and(all_189_17, % 185.02/24.97 | all_189_16) = all_189_30 & eval_succeeds(all_189_16, % 185.02/24.97 | all_189_29, 1) & eval_succeeds(all_189_17, all_189_29, 1) & ! % 185.02/24.97 | [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_16, % 185.02/24.97 | all_189_29, v0)) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/24.97 | eval_succeeds(all_189_17, all_189_29, v0))) | (all_189_18 = % 185.02/24.97 | all_189_30 & all_189_28 = 0 & neg(all_189_19) = all_189_30 & % 185.02/24.97 | eval_succeeds(all_189_19, all_189_29, 1) & ! [v0: $i] : (v0 = 1 % 185.02/24.97 | | ~ $i(v0) | ~ eval_succeeds(all_189_19, all_189_29, v0))) | % 185.02/24.97 | (all_189_20 = all_189_30 & all_189_28 = 1 & neg(all_189_21) = % 185.02/24.97 | all_189_30 & eval_succeeds(all_189_21, all_189_29, 0) & ! [v0: % 185.02/24.97 | $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_21, % 185.02/24.97 | all_189_29, v0))) | (all_189_23 = all_189_30 & all_189_28 = % 185.02/24.97 | 0 & neg(all_189_30) = all_189_22 & p(all_189_24) = all_189_30 & % 185.02/24.97 | $i(all_189_22) & member_succeeds(all_189_22, all_189_29)) | % 185.02/24.97 | (all_189_25 = all_189_30 & all_189_28 = 1 & p(all_189_26) = % 185.02/24.97 | all_189_30 & member_succeeds(all_189_30, all_189_29)))) % 185.02/24.97 | % 185.02/24.97 | BETA: splitting (35) gives: % 185.02/24.97 | % 185.02/24.97 | Case 1: % 185.02/24.97 | | % 185.02/24.97 | | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | % 185.02/24.97 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 185.02/24.97 | | interpretation_succeeds(v1) | ~ eval_succeeds(v0, v1, v3) | ~ % 185.02/24.97 | | eval_succeeds(v0, v1, v2)) % 185.02/24.97 | | % 185.02/24.97 | | GROUND_INST: instantiating (36) with all_154_3, all_154_2, all_154_1, % 185.02/24.97 | | all_154_0, simplifying with (7), (8), (9), (10), (11), (12), % 185.02/24.97 | | (13) gives: % 185.02/24.97 | | (37) all_154_0 = all_154_1 % 185.02/24.97 | | % 185.02/24.97 | | REDUCE: (6), (37) imply: % 185.02/24.97 | | (38) $false % 185.02/24.97 | | % 185.02/24.97 | | CLOSE: (38) is inconsistent. % 185.02/24.97 | | % 185.02/24.97 | Case 2: % 185.02/24.97 | | % 185.02/24.98 | | (39) ~ (all_189_27 = all_189_28) & interpretation_succeeds(all_189_29) & % 185.02/24.98 | | eval_succeeds(all_189_30, all_189_29, all_189_27) & ((all_189_0 = % 185.02/24.98 | | all_189_30 & all_189_28 = 0 & or(all_189_2, all_189_1) = % 185.02/24.98 | | all_189_30 & eval_succeeds(all_189_1, all_189_29, 0) & % 185.02/24.98 | | eval_succeeds(all_189_2, all_189_29, 0) & ! [v0: $i] : (v0 = 0 % 185.02/24.98 | | | ~ $i(v0) | ~ eval_succeeds(all_189_1, all_189_29, v0)) & % 185.02/24.98 | | ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_2, % 185.02/24.98 | | all_189_29, v0))) | (all_189_3 = all_189_30 & all_189_28 = 1 % 185.02/24.98 | | & or(all_189_5, all_189_4) = all_189_30 & % 185.02/24.98 | | eval_succeeds(all_189_4, all_189_29, 1) & ! [v0: $i] : (v0 = 1 % 185.02/24.98 | | | ~ $i(v0) | ~ eval_succeeds(all_189_4, all_189_29, v0))) | % 185.02/24.98 | | (all_189_6 = all_189_30 & all_189_28 = 1 & or(all_189_8, % 185.02/24.98 | | all_189_7) = all_189_30 & eval_succeeds(all_189_8, all_189_29, % 185.02/24.98 | | 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/24.98 | | eval_succeeds(all_189_8, all_189_29, v0))) | (all_189_9 = % 185.02/24.98 | | all_189_30 & all_189_28 = 0 & and(all_189_11, all_189_10) = % 185.02/24.98 | | all_189_30 & eval_succeeds(all_189_10, all_189_29, 0) & ! [v0: % 185.02/24.98 | | $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_10, % 185.02/24.98 | | all_189_29, v0))) | (all_189_12 = all_189_30 & all_189_28 = % 185.02/24.98 | | 0 & and(all_189_14, all_189_13) = all_189_30 & % 185.02/24.98 | | eval_succeeds(all_189_14, all_189_29, 0) & ! [v0: $i] : (v0 = 0 % 185.02/24.98 | | | ~ $i(v0) | ~ eval_succeeds(all_189_14, all_189_29, v0))) | % 185.02/24.98 | | (all_189_15 = all_189_30 & all_189_28 = 1 & and(all_189_17, % 185.02/24.98 | | all_189_16) = all_189_30 & eval_succeeds(all_189_16, % 185.02/24.98 | | all_189_29, 1) & eval_succeeds(all_189_17, all_189_29, 1) & ! % 185.02/24.98 | | [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_16, % 185.02/24.98 | | all_189_29, v0)) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/24.98 | | eval_succeeds(all_189_17, all_189_29, v0))) | (all_189_18 = % 185.02/24.98 | | all_189_30 & all_189_28 = 0 & neg(all_189_19) = all_189_30 & % 185.02/24.98 | | eval_succeeds(all_189_19, all_189_29, 1) & ! [v0: $i] : (v0 = 1 % 185.02/24.98 | | | ~ $i(v0) | ~ eval_succeeds(all_189_19, all_189_29, v0))) | % 185.02/24.98 | | (all_189_20 = all_189_30 & all_189_28 = 1 & neg(all_189_21) = % 185.02/24.98 | | all_189_30 & eval_succeeds(all_189_21, all_189_29, 0) & ! [v0: % 185.02/24.98 | | $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_21, % 185.02/24.98 | | all_189_29, v0))) | (all_189_23 = all_189_30 & all_189_28 = % 185.02/24.98 | | 0 & neg(all_189_30) = all_189_22 & p(all_189_24) = all_189_30 & % 185.02/24.98 | | $i(all_189_22) & member_succeeds(all_189_22, all_189_29)) | % 185.02/24.98 | | (all_189_25 = all_189_30 & all_189_28 = 1 & p(all_189_26) = % 185.02/24.98 | | all_189_30 & member_succeeds(all_189_30, all_189_29))) % 185.02/24.98 | | % 185.02/24.98 | | ALPHA: (39) implies: % 185.02/24.98 | | (40) ~ (all_189_27 = all_189_28) % 185.02/24.98 | | (41) eval_succeeds(all_189_30, all_189_29, all_189_27) % 185.02/24.98 | | (42) interpretation_succeeds(all_189_29) % 185.02/24.98 | | (43) (all_189_0 = all_189_30 & all_189_28 = 0 & or(all_189_2, all_189_1) % 185.02/24.98 | | = all_189_30 & eval_succeeds(all_189_1, all_189_29, 0) & % 185.02/24.98 | | eval_succeeds(all_189_2, all_189_29, 0) & ! [v0: $i] : (v0 = 0 | % 185.02/24.98 | | ~ $i(v0) | ~ eval_succeeds(all_189_1, all_189_29, v0)) & ! % 185.02/24.98 | | [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_2, % 185.02/24.98 | | all_189_29, v0))) | (all_189_3 = all_189_30 & all_189_28 = 1 & % 185.02/24.98 | | or(all_189_5, all_189_4) = all_189_30 & eval_succeeds(all_189_4, % 185.02/24.98 | | all_189_29, 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/24.98 | | eval_succeeds(all_189_4, all_189_29, v0))) | (all_189_6 = % 185.02/24.98 | | all_189_30 & all_189_28 = 1 & or(all_189_8, all_189_7) = % 185.02/24.98 | | all_189_30 & eval_succeeds(all_189_8, all_189_29, 1) & ! [v0: $i] % 185.02/24.98 | | : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_8, all_189_29, % 185.02/24.98 | | v0))) | (all_189_9 = all_189_30 & all_189_28 = 0 & % 185.02/24.98 | | and(all_189_11, all_189_10) = all_189_30 & % 185.02/24.98 | | eval_succeeds(all_189_10, all_189_29, 0) & ! [v0: $i] : (v0 = 0 | % 185.02/24.98 | | ~ $i(v0) | ~ eval_succeeds(all_189_10, all_189_29, v0))) | % 185.02/24.98 | | (all_189_12 = all_189_30 & all_189_28 = 0 & and(all_189_14, % 185.02/24.98 | | all_189_13) = all_189_30 & eval_succeeds(all_189_14, all_189_29, % 185.02/24.98 | | 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/24.98 | | eval_succeeds(all_189_14, all_189_29, v0))) | (all_189_15 = % 185.02/24.98 | | all_189_30 & all_189_28 = 1 & and(all_189_17, all_189_16) = % 185.02/24.98 | | all_189_30 & eval_succeeds(all_189_16, all_189_29, 1) & % 185.02/24.98 | | eval_succeeds(all_189_17, all_189_29, 1) & ! [v0: $i] : (v0 = 1 | % 185.02/24.98 | | ~ $i(v0) | ~ eval_succeeds(all_189_16, all_189_29, v0)) & ! % 185.02/24.98 | | [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_17, % 185.02/24.98 | | all_189_29, v0))) | (all_189_18 = all_189_30 & all_189_28 = 0 % 185.02/24.98 | | & neg(all_189_19) = all_189_30 & eval_succeeds(all_189_19, % 185.02/24.98 | | all_189_29, 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/24.98 | | eval_succeeds(all_189_19, all_189_29, v0))) | (all_189_20 = % 185.02/24.98 | | all_189_30 & all_189_28 = 1 & neg(all_189_21) = all_189_30 & % 185.02/24.98 | | eval_succeeds(all_189_21, all_189_29, 0) & ! [v0: $i] : (v0 = 0 | % 185.02/24.98 | | ~ $i(v0) | ~ eval_succeeds(all_189_21, all_189_29, v0))) | % 185.02/24.98 | | (all_189_23 = all_189_30 & all_189_28 = 0 & neg(all_189_30) = % 185.02/24.98 | | all_189_22 & p(all_189_24) = all_189_30 & $i(all_189_22) & % 185.02/24.99 | | member_succeeds(all_189_22, all_189_29)) | (all_189_25 = % 185.02/24.99 | | all_189_30 & all_189_28 = 1 & p(all_189_26) = all_189_30 & % 185.02/24.99 | | member_succeeds(all_189_30, all_189_29)) % 185.02/24.99 | | % 185.02/24.99 | | GROUND_INST: instantiating (1) with all_189_30, all_189_29, all_189_27, % 185.02/24.99 | | simplifying with (15), (16), (18), (41) gives: % 185.02/24.99 | | (44) ? [v0: $i] : ? [v1: int] : ? [v2: $i] : ? [v3: int] : ? [v4: % 185.02/24.99 | | $i] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : ? % 185.02/24.99 | | [v9: $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i] : ? [v13: % 185.02/24.99 | | $i] : ? [v14: int] : ? [v15: $i] : ? [v16: $i] : ? [v17: int] % 185.02/24.99 | | : ? [v18: $i] : ? [v19: $i] : ? [v20: int] : ? [v21: $i] : ? % 185.02/24.99 | | [v22: $i] : ? [v23: int] : ? [v24: $i] : ? [v25: $i] : ? [v26: % 185.02/24.99 | | int] : ($i(v25) & $i(v24) & $i(v22) & $i(v21) & $i(v19) & $i(v18) % 185.02/24.99 | | & $i(v16) & $i(v15) & $i(v13) & $i(v12) & $i(v10) & $i(v9) & % 185.02/24.99 | | $i(v7) & $i(v5) & $i(v2) & $i(v0) & ((v26 = all_189_30 & % 185.02/24.99 | | all_189_27 = 0 & or(v24, v25) = all_189_30 & % 185.02/24.99 | | eval_succeeds(v25, all_189_29, 0) & eval_succeeds(v24, % 185.02/24.99 | | all_189_29, 0)) | (v23 = all_189_30 & all_189_27 = 1 & % 185.02/24.99 | | or(v21, v22) = all_189_30 & eval_succeeds(v22, all_189_29, 1)) % 185.02/24.99 | | | (v20 = all_189_30 & all_189_27 = 1 & or(v18, v19) = all_189_30 % 185.02/24.99 | | & eval_succeeds(v18, all_189_29, 1)) | (v17 = all_189_30 & % 185.02/24.99 | | all_189_27 = 0 & and(v15, v16) = all_189_30 & % 185.02/24.99 | | eval_succeeds(v16, all_189_29, 0)) | (v14 = all_189_30 & % 185.02/24.99 | | all_189_27 = 0 & and(v12, v13) = all_189_30 & % 185.02/24.99 | | eval_succeeds(v12, all_189_29, 0)) | (v11 = all_189_30 & % 185.02/24.99 | | all_189_27 = 1 & and(v9, v10) = all_189_30 & % 185.02/24.99 | | eval_succeeds(v10, all_189_29, 1) & eval_succeeds(v9, % 185.02/24.99 | | all_189_29, 1)) | (v8 = all_189_30 & all_189_27 = 0 & % 185.02/24.99 | | neg(v7) = all_189_30 & eval_succeeds(v7, all_189_29, 1)) | (v6 % 185.02/24.99 | | = all_189_30 & all_189_27 = 1 & neg(v5) = all_189_30 & % 185.02/24.99 | | eval_succeeds(v5, all_189_29, 0)) | (v3 = all_189_30 & % 185.02/24.99 | | all_189_27 = 0 & neg(all_189_30) = v4 & p(v2) = all_189_30 & % 185.02/24.99 | | $i(v4) & member_succeeds(v4, all_189_29)) | (v1 = all_189_30 & % 185.02/24.99 | | all_189_27 = 1 & p(v0) = all_189_30 & % 185.02/24.99 | | member_succeeds(all_189_30, all_189_29)))) % 185.02/24.99 | | % 185.02/24.99 | | DELTA: instantiating (44) with fresh symbols all_389_0, all_389_1, % 185.02/24.99 | | all_389_2, all_389_3, all_389_4, all_389_5, all_389_6, all_389_7, % 185.02/24.99 | | all_389_8, all_389_9, all_389_10, all_389_11, all_389_12, all_389_13, % 185.02/24.99 | | all_389_14, all_389_15, all_389_16, all_389_17, all_389_18, % 185.02/24.99 | | all_389_19, all_389_20, all_389_21, all_389_22, all_389_23, % 185.02/24.99 | | all_389_24, all_389_25, all_389_26 gives: % 185.02/24.99 | | (45) $i(all_389_1) & $i(all_389_2) & $i(all_389_4) & $i(all_389_5) & % 185.02/24.99 | | $i(all_389_7) & $i(all_389_8) & $i(all_389_10) & $i(all_389_11) & % 185.02/24.99 | | $i(all_389_13) & $i(all_389_14) & $i(all_389_16) & $i(all_389_17) & % 185.02/24.99 | | $i(all_389_19) & $i(all_389_21) & $i(all_389_24) & $i(all_389_26) & % 185.02/24.99 | | ((all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, all_389_1) % 185.02/24.99 | | = all_189_30 & eval_succeeds(all_389_1, all_189_29, 0) & % 185.02/24.99 | | eval_succeeds(all_389_2, all_189_29, 0)) | (all_389_3 = % 185.02/24.99 | | all_189_30 & all_189_27 = 1 & or(all_389_5, all_389_4) = % 185.02/24.99 | | all_189_30 & eval_succeeds(all_389_4, all_189_29, 1)) | % 185.02/24.99 | | (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/24.99 | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, all_189_29, % 185.02/24.99 | | 1)) | (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/24.99 | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/24.99 | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 = % 185.02/24.99 | | all_189_30 & all_189_27 = 0 & and(all_389_14, all_389_13) = % 185.02/24.99 | | all_189_30 & eval_succeeds(all_389_14, all_189_29, 0)) | % 185.02/24.99 | | (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.02/24.99 | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.02/24.99 | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, 1)) | % 185.02/24.99 | | (all_389_18 = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.02/24.99 | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) | % 185.02/24.99 | | (all_389_20 = all_189_30 & all_189_27 = 1 & neg(all_389_21) = % 185.02/24.99 | | all_189_30 & eval_succeeds(all_389_21, all_189_29, 0)) | % 185.02/24.99 | | (all_389_23 = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/24.99 | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) & % 185.02/24.99 | | member_succeeds(all_389_22, all_189_29)) | (all_389_25 = % 185.02/24.99 | | all_189_30 & all_189_27 = 1 & p(all_389_26) = all_189_30 & % 185.02/24.99 | | member_succeeds(all_189_30, all_189_29))) % 185.02/24.99 | | % 185.02/24.99 | | ALPHA: (45) implies: % 185.02/24.99 | | (46) $i(all_389_26) % 185.02/24.99 | | (47) $i(all_389_24) % 185.02/24.99 | | (48) $i(all_389_21) % 185.02/24.99 | | (49) $i(all_389_19) % 185.02/24.99 | | (50) $i(all_389_17) % 185.02/24.99 | | (51) $i(all_389_16) % 185.02/24.99 | | (52) $i(all_389_14) % 185.02/24.99 | | (53) $i(all_389_13) % 185.02/24.99 | | (54) $i(all_389_11) % 185.02/24.99 | | (55) $i(all_389_10) % 185.02/24.99 | | (56) $i(all_389_8) % 185.02/24.99 | | (57) $i(all_389_7) % 185.02/24.99 | | (58) $i(all_389_5) % 185.02/24.99 | | (59) $i(all_389_4) % 185.02/24.99 | | (60) $i(all_389_2) % 185.02/25.00 | | (61) $i(all_389_1) % 185.02/25.00 | | (62) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, all_389_1) % 185.02/25.00 | | = all_189_30 & eval_succeeds(all_389_1, all_189_29, 0) & % 185.02/25.00 | | eval_succeeds(all_389_2, all_189_29, 0)) | (all_389_3 = all_189_30 % 185.02/25.00 | | & all_189_27 = 1 & or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.00 | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = all_189_30 % 185.02/25.00 | | & all_189_27 = 1 & or(all_389_8, all_389_7) = all_189_30 & % 185.02/25.00 | | eval_succeeds(all_389_8, all_189_29, 1)) | (all_389_9 = all_189_30 % 185.02/25.00 | | & all_189_27 = 0 & and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.00 | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 = % 185.02/25.00 | | all_189_30 & all_189_27 = 0 & and(all_389_14, all_389_13) = % 185.02/25.00 | | all_189_30 & eval_succeeds(all_389_14, all_189_29, 0)) | % 185.02/25.00 | | (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.02/25.00 | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, all_189_29, % 185.02/25.00 | | 1) & eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 = % 185.02/25.00 | | all_189_30 & all_189_27 = 0 & neg(all_389_19) = all_189_30 & % 185.02/25.00 | | eval_succeeds(all_389_19, all_189_29, 1)) | (all_389_20 = % 185.02/25.00 | | all_189_30 & all_189_27 = 1 & neg(all_389_21) = all_189_30 & % 185.02/25.00 | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.02/25.00 | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = all_389_22 & % 185.02/25.00 | | p(all_389_24) = all_189_30 & $i(all_389_22) & % 185.02/25.00 | | member_succeeds(all_389_22, all_189_29)) | (all_389_25 = % 185.02/25.00 | | all_189_30 & all_189_27 = 1 & p(all_389_26) = all_189_30 & % 185.02/25.00 | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.00 | | % 185.02/25.00 | | BETA: splitting (43) gives: % 185.02/25.00 | | % 185.02/25.00 | | Case 1: % 185.02/25.00 | | | % 185.02/25.00 | | | (63) (all_189_0 = all_189_30 & all_189_28 = 0 & or(all_189_2, % 185.02/25.00 | | | all_189_1) = all_189_30 & eval_succeeds(all_189_1, all_189_29, % 185.02/25.00 | | | 0) & eval_succeeds(all_189_2, all_189_29, 0) & ! [v0: $i] : % 185.02/25.00 | | | (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_1, all_189_29, % 185.02/25.00 | | | v0)) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.00 | | | eval_succeeds(all_189_2, all_189_29, v0))) | (all_189_3 = % 185.02/25.00 | | | all_189_30 & all_189_28 = 1 & or(all_189_5, all_189_4) = % 185.02/25.00 | | | all_189_30 & eval_succeeds(all_189_4, all_189_29, 1) & ! [v0: % 185.02/25.00 | | | $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_4, % 185.02/25.00 | | | all_189_29, v0))) | (all_189_6 = all_189_30 & all_189_28 = 1 % 185.02/25.00 | | | & or(all_189_8, all_189_7) = all_189_30 & % 185.02/25.00 | | | eval_succeeds(all_189_8, all_189_29, 1) & ! [v0: $i] : (v0 = 1 % 185.02/25.00 | | | | ~ $i(v0) | ~ eval_succeeds(all_189_8, all_189_29, v0))) | % 185.02/25.00 | | | (all_189_9 = all_189_30 & all_189_28 = 0 & and(all_189_11, % 185.02/25.00 | | | all_189_10) = all_189_30 & eval_succeeds(all_189_10, % 185.02/25.00 | | | all_189_29, 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.00 | | | eval_succeeds(all_189_10, all_189_29, v0))) | (all_189_12 = % 185.02/25.00 | | | all_189_30 & all_189_28 = 0 & and(all_189_14, all_189_13) = % 185.02/25.00 | | | all_189_30 & eval_succeeds(all_189_14, all_189_29, 0) & ! [v0: % 185.02/25.00 | | | $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_14, % 185.02/25.00 | | | all_189_29, v0))) % 185.02/25.00 | | | % 185.02/25.00 | | | BETA: splitting (63) gives: % 185.02/25.00 | | | % 185.02/25.00 | | | Case 1: % 185.02/25.00 | | | | % 185.02/25.00 | | | | (64) (all_189_0 = all_189_30 & all_189_28 = 0 & or(all_189_2, % 185.02/25.00 | | | | all_189_1) = all_189_30 & eval_succeeds(all_189_1, % 185.02/25.00 | | | | all_189_29, 0) & eval_succeeds(all_189_2, all_189_29, 0) & % 185.02/25.00 | | | | ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_1, % 185.02/25.00 | | | | all_189_29, v0)) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.00 | | | | eval_succeeds(all_189_2, all_189_29, v0))) | (all_189_3 = % 185.02/25.00 | | | | all_189_30 & all_189_28 = 1 & or(all_189_5, all_189_4) = % 185.02/25.00 | | | | all_189_30 & eval_succeeds(all_189_4, all_189_29, 1) & ! [v0: % 185.02/25.00 | | | | $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_4, % 185.02/25.00 | | | | all_189_29, v0))) % 185.02/25.00 | | | | % 185.02/25.00 | | | | BETA: splitting (64) gives: % 185.02/25.00 | | | | % 185.02/25.00 | | | | Case 1: % 185.02/25.00 | | | | | % 185.02/25.00 | | | | | (65) all_189_0 = all_189_30 & all_189_28 = 0 & or(all_189_2, % 185.02/25.00 | | | | | all_189_1) = all_189_30 & eval_succeeds(all_189_1, % 185.02/25.00 | | | | | all_189_29, 0) & eval_succeeds(all_189_2, all_189_29, 0) & % 185.02/25.00 | | | | | ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_1, % 185.02/25.00 | | | | | all_189_29, v0)) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.00 | | | | | eval_succeeds(all_189_2, all_189_29, v0)) % 185.02/25.00 | | | | | % 185.02/25.00 | | | | | ALPHA: (65) implies: % 185.02/25.00 | | | | | (66) all_189_28 = 0 % 185.02/25.00 | | | | | (67) or(all_189_2, all_189_1) = all_189_30 % 185.02/25.00 | | | | | (68) ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.00 | | | | | eval_succeeds(all_189_2, all_189_29, v0)) % 185.02/25.00 | | | | | (69) ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.00 | | | | | eval_succeeds(all_189_1, all_189_29, v0)) % 185.02/25.00 | | | | | % 185.02/25.00 | | | | | REDUCE: (40), (66) imply: % 185.02/25.00 | | | | | (70) ~ (all_189_27 = 0) % 185.02/25.00 | | | | | % 185.02/25.00 | | | | | BETA: splitting (62) gives: % 185.02/25.00 | | | | | % 185.02/25.00 | | | | | Case 1: % 185.02/25.00 | | | | | | % 185.02/25.00 | | | | | | (71) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.00 | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.00 | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.00 | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.00 | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.00 | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.02/25.00 | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) = % 185.02/25.00 | | | | | | all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) | % 185.02/25.00 | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.02/25.00 | | | | | | all_389_10) = all_189_30 & eval_succeeds(all_389_10, % 185.02/25.00 | | | | | | all_189_29, 0)) | (all_389_12 = all_189_30 & all_189_27 % 185.02/25.00 | | | | | | = 0 & and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.00 | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.00 | | | | | | % 185.02/25.00 | | | | | | BETA: splitting (71) gives: % 185.02/25.00 | | | | | | % 185.02/25.00 | | | | | | Case 1: % 185.02/25.00 | | | | | | | % 185.02/25.00 | | | | | | | (72) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.00 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.00 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.00 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.00 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.00 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) % 185.02/25.00 | | | | | | | % 185.02/25.00 | | | | | | | BETA: splitting (72) gives: % 185.02/25.00 | | | | | | | % 185.02/25.00 | | | | | | | Case 1: % 185.02/25.00 | | | | | | | | % 185.02/25.01 | | | | | | | | (73) all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.01 | | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.01 | | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.01 | | | | | | | | 0) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | ALPHA: (73) implies: % 185.02/25.01 | | | | | | | | (74) all_189_27 = 0 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (70), (74) imply: % 185.02/25.01 | | | | | | | | (75) $false % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | CLOSE: (75) is inconsistent. % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | Case 2: % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | (76) all_389_3 = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.02/25.01 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.02/25.01 | | | | | | | | all_189_29, 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | ALPHA: (76) implies: % 185.02/25.01 | | | | | | | | (77) all_189_27 = 1 % 185.02/25.01 | | | | | | | | (78) eval_succeeds(all_389_4, all_189_29, 1) % 185.02/25.01 | | | | | | | | (79) or(all_389_5, all_389_4) = all_189_30 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (70), (77) imply: % 185.02/25.01 | | | | | | | | (80) ~ (0 = 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | SIMP: (80) implies: % 185.02/25.01 | | | | | | | | (81) ~ (0 = 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (18), (77) imply: % 185.02/25.01 | | | | | | | | (82) $i(1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | GROUND_INST: instantiating (id35) with all_189_2, all_189_1, % 185.02/25.01 | | | | | | | | all_389_5, all_389_4, all_189_30, simplifying with % 185.02/25.01 | | | | | | | | (33), (34), (58), (59), (67), (79) gives: % 185.02/25.01 | | | | | | | | (83) all_389_4 = all_189_1 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (78), (83) imply: % 185.02/25.01 | | | | | | | | (84) eval_succeeds(all_189_1, all_189_29, 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | GROUND_INST: instantiating (69) with 1, simplifying with (82), % 185.02/25.01 | | | | | | | | (84) gives: % 185.02/25.01 | | | | | | | | (85) 0 = 1 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (81), (85) imply: % 185.02/25.01 | | | | | | | | (86) $false % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | CLOSE: (86) is inconsistent. % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | End of split % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | Case 2: % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | | (87) (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/25.01 | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.02/25.01 | | | | | | | all_189_29, 1)) | (all_389_9 = all_189_30 & all_189_27 % 185.02/25.01 | | | | | | | = 0 & and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.01 | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 % 185.02/25.01 | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_14, % 185.02/25.01 | | | | | | | all_389_13) = all_189_30 & eval_succeeds(all_389_14, % 185.02/25.01 | | | | | | | all_189_29, 0)) % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | | BETA: splitting (87) gives: % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | | Case 1: % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | (88) all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/25.01 | | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.02/25.01 | | | | | | | | all_189_29, 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | ALPHA: (88) implies: % 185.02/25.01 | | | | | | | | (89) all_189_27 = 1 % 185.02/25.01 | | | | | | | | (90) eval_succeeds(all_389_8, all_189_29, 1) % 185.02/25.01 | | | | | | | | (91) or(all_389_8, all_389_7) = all_189_30 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (70), (89) imply: % 185.02/25.01 | | | | | | | | (92) ~ (0 = 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | SIMP: (92) implies: % 185.02/25.01 | | | | | | | | (93) ~ (0 = 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (18), (89) imply: % 185.02/25.01 | | | | | | | | (94) $i(1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | GROUND_INST: instantiating (id36) with all_189_2, all_189_1, % 185.02/25.01 | | | | | | | | all_389_8, all_389_7, all_189_30, simplifying with % 185.02/25.01 | | | | | | | | (33), (34), (56), (57), (67), (91) gives: % 185.02/25.01 | | | | | | | | (95) all_389_8 = all_189_2 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (90), (95) imply: % 185.02/25.01 | | | | | | | | (96) eval_succeeds(all_189_2, all_189_29, 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | GROUND_INST: instantiating (68) with 1, simplifying with (94), % 185.02/25.01 | | | | | | | | (96) gives: % 185.02/25.01 | | | | | | | | (97) 0 = 1 % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | REDUCE: (93), (97) imply: % 185.02/25.01 | | | | | | | | (98) $false % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | CLOSE: (98) is inconsistent. % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | Case 2: % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | (99) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.01 | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.01 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.02/25.01 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.01 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.01 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | BETA: splitting (99) gives: % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | Case 1: % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | (100) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.01 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.01 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | ALPHA: (100) implies: % 185.02/25.01 | | | | | | | | | (101) all_189_27 = 0 % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | REDUCE: (70), (101) imply: % 185.02/25.01 | | | | | | | | | (102) $false % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | CLOSE: (102) is inconsistent. % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | Case 2: % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | (103) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.01 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.01 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | ALPHA: (103) implies: % 185.02/25.01 | | | | | | | | | (104) all_189_27 = 0 % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | REDUCE: (70), (104) imply: % 185.02/25.01 | | | | | | | | | (105) $false % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | | CLOSE: (105) is inconsistent. % 185.02/25.01 | | | | | | | | | % 185.02/25.01 | | | | | | | | End of split % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | End of split % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | End of split % 185.02/25.01 | | | | | | % 185.02/25.01 | | | | | Case 2: % 185.02/25.01 | | | | | | % 185.02/25.01 | | | | | | (106) (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.02/25.01 | | | | | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.02/25.01 | | | | | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, % 185.02/25.01 | | | | | | 1)) | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.02/25.01 | | | | | | neg(all_389_19) = all_189_30 & eval_succeeds(all_389_19, % 185.02/25.01 | | | | | | all_189_29, 1)) | (all_389_20 = all_189_30 & all_189_27 % 185.02/25.01 | | | | | | = 1 & neg(all_389_21) = all_189_30 & % 185.02/25.01 | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.02/25.01 | | | | | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/25.01 | | | | | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) % 185.02/25.01 | | | | | | & member_succeeds(all_389_22, all_189_29)) | (all_389_25 % 185.02/25.01 | | | | | | = all_189_30 & all_189_27 = 1 & p(all_389_26) = % 185.02/25.01 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29)) % 185.02/25.01 | | | | | | % 185.02/25.01 | | | | | | BETA: splitting (106) gives: % 185.02/25.01 | | | | | | % 185.02/25.01 | | | | | | Case 1: % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | | (107) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.02/25.01 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.02/25.01 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.02/25.01 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.02/25.01 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.02/25.01 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | | BETA: splitting (107) gives: % 185.02/25.01 | | | | | | | % 185.02/25.01 | | | | | | | Case 1: % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | (108) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.02/25.01 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.02/25.01 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.02/25.01 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.02/25.01 | | | | | | | | % 185.02/25.01 | | | | | | | | ALPHA: (108) implies: % 185.02/25.01 | | | | | | | | (109) and(all_389_17, all_389_16) = all_189_30 % 185.02/25.01 | | | | | | | | % 185.02/25.02 | | | | | | | | GROUND_INST: instantiating (id34) with all_389_17, all_389_16, % 185.02/25.02 | | | | | | | | all_189_2, all_189_1, all_189_30, simplifying with % 185.02/25.02 | | | | | | | | (33), (34), (50), (51), (67), (109) gives: % 185.02/25.02 | | | | | | | | (110) $false % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | CLOSE: (110) is inconsistent. % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | Case 2: % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | (111) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.02/25.02 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.02/25.02 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | ALPHA: (111) implies: % 185.02/25.02 | | | | | | | | (112) all_189_27 = 0 % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | REDUCE: (70), (112) imply: % 185.02/25.02 | | | | | | | | (113) $false % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | CLOSE: (113) is inconsistent. % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | End of split % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | Case 2: % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | | (114) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.02/25.02 | | | | | | | neg(all_389_21) = all_189_30 & % 185.02/25.02 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.02/25.02 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/25.02 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.02/25.02 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.02/25.02 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.02/25.02 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.02/25.02 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | | BETA: splitting (114) gives: % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | | Case 1: % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | (115) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.02/25.02 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.02/25.02 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | ALPHA: (115) implies: % 185.02/25.02 | | | | | | | | (116) neg(all_389_21) = all_189_30 % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | GROUND_INST: instantiating (id31) with all_389_21, all_189_2, % 185.02/25.02 | | | | | | | | all_189_1, all_189_30, simplifying with (33), (34), % 185.02/25.02 | | | | | | | | (48), (67), (116) gives: % 185.02/25.02 | | | | | | | | (117) $false % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | CLOSE: (117) is inconsistent. % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | Case 2: % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | (118) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.02/25.02 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.02/25.02 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.02/25.02 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.02/25.02 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.02/25.02 | | | | | | | | p(all_389_26) = all_189_30 & % 185.02/25.02 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | BETA: splitting (118) gives: % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | Case 1: % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | (119) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.02/25.02 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.02/25.02 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.02/25.02 | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | ALPHA: (119) implies: % 185.02/25.02 | | | | | | | | | (120) all_189_27 = 0 % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | REDUCE: (70), (120) imply: % 185.02/25.02 | | | | | | | | | (121) $false % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | CLOSE: (121) is inconsistent. % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | Case 2: % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | (122) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.02/25.02 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.02/25.02 | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | ALPHA: (122) implies: % 185.02/25.02 | | | | | | | | | (123) p(all_389_26) = all_189_30 % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | GROUND_INST: instantiating (id28) with all_389_26, all_189_2, % 185.02/25.02 | | | | | | | | | all_189_1, all_189_30, simplifying with (33), % 185.02/25.02 | | | | | | | | | (34), (46), (67), (123) gives: % 185.02/25.02 | | | | | | | | | (124) $false % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | | CLOSE: (124) is inconsistent. % 185.02/25.02 | | | | | | | | | % 185.02/25.02 | | | | | | | | End of split % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | End of split % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | End of split % 185.02/25.02 | | | | | | % 185.02/25.02 | | | | | End of split % 185.02/25.02 | | | | | % 185.02/25.02 | | | | Case 2: % 185.02/25.02 | | | | | % 185.02/25.02 | | | | | (125) all_189_3 = all_189_30 & all_189_28 = 1 & or(all_189_5, % 185.02/25.02 | | | | | all_189_4) = all_189_30 & eval_succeeds(all_189_4, % 185.02/25.02 | | | | | all_189_29, 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/25.02 | | | | | eval_succeeds(all_189_4, all_189_29, v0)) % 185.02/25.02 | | | | | % 185.02/25.02 | | | | | ALPHA: (125) implies: % 185.02/25.02 | | | | | (126) all_189_28 = 1 % 185.02/25.02 | | | | | (127) or(all_189_5, all_189_4) = all_189_30 % 185.02/25.02 | | | | | (128) ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/25.02 | | | | | eval_succeeds(all_189_4, all_189_29, v0)) % 185.02/25.02 | | | | | % 185.02/25.02 | | | | | REDUCE: (40), (126) imply: % 185.02/25.02 | | | | | (129) ~ (all_189_27 = 1) % 185.02/25.02 | | | | | % 185.02/25.02 | | | | | BETA: splitting (62) gives: % 185.02/25.02 | | | | | % 185.02/25.02 | | | | | Case 1: % 185.02/25.02 | | | | | | % 185.02/25.02 | | | | | | (130) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.02 | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.02 | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.02 | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.02 | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.02 | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.02/25.02 | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) = % 185.02/25.02 | | | | | | all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) | % 185.02/25.02 | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.02/25.02 | | | | | | all_389_10) = all_189_30 & eval_succeeds(all_389_10, % 185.02/25.02 | | | | | | all_189_29, 0)) | (all_389_12 = all_189_30 & all_189_27 % 185.02/25.02 | | | | | | = 0 & and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.02 | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.02 | | | | | | % 185.02/25.02 | | | | | | BETA: splitting (130) gives: % 185.02/25.02 | | | | | | % 185.02/25.02 | | | | | | Case 1: % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | | (131) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.02 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.02 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.02 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.02 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.02 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | | BETA: splitting (131) gives: % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | | Case 1: % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | (132) all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.02 | | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.02 | | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.02 | | | | | | | | 0) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | ALPHA: (132) implies: % 185.02/25.02 | | | | | | | | (133) all_189_27 = 0 % 185.02/25.02 | | | | | | | | (134) eval_succeeds(all_389_1, all_189_29, 0) % 185.02/25.02 | | | | | | | | (135) or(all_389_2, all_389_1) = all_189_30 % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | REDUCE: (129), (133) imply: % 185.02/25.02 | | | | | | | | (136) ~ (0 = 1) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | REDUCE: (18), (133) imply: % 185.02/25.02 | | | | | | | | (137) $i(0) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | GROUND_INST: instantiating (id35) with all_189_5, all_189_4, % 185.02/25.02 | | | | | | | | all_389_2, all_389_1, all_189_30, simplifying with % 185.02/25.02 | | | | | | | | (31), (32), (60), (61), (127), (135) gives: % 185.02/25.02 | | | | | | | | (138) all_389_1 = all_189_4 % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | REDUCE: (134), (138) imply: % 185.02/25.02 | | | | | | | | (139) eval_succeeds(all_189_4, all_189_29, 0) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | GROUND_INST: instantiating (128) with 0, simplifying with (137), % 185.02/25.02 | | | | | | | | (139) gives: % 185.02/25.02 | | | | | | | | (140) 0 = 1 % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | REDUCE: (136), (140) imply: % 185.02/25.02 | | | | | | | | (141) $false % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | CLOSE: (141) is inconsistent. % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | Case 2: % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | (142) all_389_3 = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.02/25.02 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.02/25.02 | | | | | | | | all_189_29, 1) % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | ALPHA: (142) implies: % 185.02/25.02 | | | | | | | | (143) all_189_27 = 1 % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | REDUCE: (129), (143) imply: % 185.02/25.02 | | | | | | | | (144) $false % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | | CLOSE: (144) is inconsistent. % 185.02/25.02 | | | | | | | | % 185.02/25.02 | | | | | | | End of split % 185.02/25.02 | | | | | | | % 185.02/25.02 | | | | | | Case 2: % 185.02/25.02 | | | | | | | % 185.02/25.03 | | | | | | | (145) (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/25.03 | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.02/25.03 | | | | | | | all_189_29, 1)) | (all_389_9 = all_189_30 & % 185.02/25.03 | | | | | | | all_189_27 = 0 & and(all_389_11, all_389_10) = % 185.02/25.03 | | | | | | | all_189_30 & eval_succeeds(all_389_10, all_189_29, 0)) % 185.02/25.03 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.03 | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | BETA: splitting (145) gives: % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | Case 1: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | (146) all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/25.03 | | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.02/25.03 | | | | | | | | all_189_29, 1) % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | ALPHA: (146) implies: % 185.02/25.03 | | | | | | | | (147) all_189_27 = 1 % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | REDUCE: (129), (147) imply: % 185.02/25.03 | | | | | | | | (148) $false % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | CLOSE: (148) is inconsistent. % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | Case 2: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | (149) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.03 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.02/25.03 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.03 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | BETA: splitting (149) gives: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | Case 1: % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | (150) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.03 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | ALPHA: (150) implies: % 185.02/25.03 | | | | | | | | | (151) and(all_389_11, all_389_10) = all_189_30 % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | GROUND_INST: instantiating (id34) with all_389_11, all_389_10, % 185.02/25.03 | | | | | | | | | all_189_5, all_189_4, all_189_30, simplifying with % 185.02/25.03 | | | | | | | | | (31), (32), (54), (55), (127), (151) gives: % 185.02/25.03 | | | | | | | | | (152) $false % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | CLOSE: (152) is inconsistent. % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | Case 2: % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | (153) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.03 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | ALPHA: (153) implies: % 185.02/25.03 | | | | | | | | | (154) and(all_389_14, all_389_13) = all_189_30 % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | GROUND_INST: instantiating (id34) with all_389_14, all_389_13, % 185.02/25.03 | | | | | | | | | all_189_5, all_189_4, all_189_30, simplifying with % 185.02/25.03 | | | | | | | | | (31), (32), (52), (53), (127), (154) gives: % 185.02/25.03 | | | | | | | | | (155) $false % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | CLOSE: (155) is inconsistent. % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | End of split % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | End of split % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | End of split % 185.02/25.03 | | | | | | % 185.02/25.03 | | | | | Case 2: % 185.02/25.03 | | | | | | % 185.02/25.03 | | | | | | (156) (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.02/25.03 | | | | | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.02/25.03 | | | | | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, % 185.02/25.03 | | | | | | 1)) | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | neg(all_389_19) = all_189_30 & eval_succeeds(all_389_19, % 185.02/25.03 | | | | | | all_189_29, 1)) | (all_389_20 = all_189_30 & all_189_27 % 185.02/25.03 | | | | | | = 1 & neg(all_389_21) = all_189_30 & % 185.02/25.03 | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.02/25.03 | | | | | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/25.03 | | | | | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) % 185.02/25.03 | | | | | | & member_succeeds(all_389_22, all_189_29)) | (all_389_25 % 185.02/25.03 | | | | | | = all_189_30 & all_189_27 = 1 & p(all_389_26) = % 185.02/25.03 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29)) % 185.02/25.03 | | | | | | % 185.02/25.03 | | | | | | BETA: splitting (156) gives: % 185.02/25.03 | | | | | | % 185.02/25.03 | | | | | | Case 1: % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | (157) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.02/25.03 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.02/25.03 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.02/25.03 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.02/25.03 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.02/25.03 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | BETA: splitting (157) gives: % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | Case 1: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | (158) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.02/25.03 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.02/25.03 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.02/25.03 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | ALPHA: (158) implies: % 185.02/25.03 | | | | | | | | (159) all_189_27 = 1 % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | REDUCE: (129), (159) imply: % 185.02/25.03 | | | | | | | | (160) $false % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | CLOSE: (160) is inconsistent. % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | Case 2: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | (161) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.02/25.03 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | ALPHA: (161) implies: % 185.02/25.03 | | | | | | | | (162) neg(all_389_19) = all_189_30 % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | GROUND_INST: instantiating (id31) with all_389_19, all_189_5, % 185.02/25.03 | | | | | | | | all_189_4, all_189_30, simplifying with (31), (32), % 185.02/25.03 | | | | | | | | (49), (127), (162) gives: % 185.02/25.03 | | | | | | | | (163) $false % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | CLOSE: (163) is inconsistent. % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | End of split % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | Case 2: % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | (164) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.02/25.03 | | | | | | | neg(all_389_21) = all_189_30 & % 185.02/25.03 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.02/25.03 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/25.03 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.02/25.03 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.02/25.03 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.02/25.03 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.02/25.03 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | BETA: splitting (164) gives: % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | | Case 1: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | (165) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.02/25.03 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.02/25.03 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | ALPHA: (165) implies: % 185.02/25.03 | | | | | | | | (166) all_189_27 = 1 % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | REDUCE: (129), (166) imply: % 185.02/25.03 | | | | | | | | (167) $false % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | CLOSE: (167) is inconsistent. % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | Case 2: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | (168) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.02/25.03 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.02/25.03 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.02/25.03 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.02/25.03 | | | | | | | | p(all_389_26) = all_189_30 & % 185.02/25.03 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | BETA: splitting (168) gives: % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | | Case 1: % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | (169) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.02/25.03 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.02/25.03 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.02/25.03 | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | ALPHA: (169) implies: % 185.02/25.03 | | | | | | | | | (170) p(all_389_24) = all_189_30 % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | GROUND_INST: instantiating (id28) with all_389_24, all_189_5, % 185.02/25.03 | | | | | | | | | all_189_4, all_189_30, simplifying with (31), % 185.02/25.03 | | | | | | | | | (32), (47), (127), (170) gives: % 185.02/25.03 | | | | | | | | | (171) $false % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | CLOSE: (171) is inconsistent. % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | Case 2: % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | (172) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.02/25.03 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.02/25.03 | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | ALPHA: (172) implies: % 185.02/25.03 | | | | | | | | | (173) all_189_27 = 1 % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | REDUCE: (129), (173) imply: % 185.02/25.03 | | | | | | | | | (174) $false % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | | CLOSE: (174) is inconsistent. % 185.02/25.03 | | | | | | | | | % 185.02/25.03 | | | | | | | | End of split % 185.02/25.03 | | | | | | | | % 185.02/25.03 | | | | | | | End of split % 185.02/25.03 | | | | | | | % 185.02/25.03 | | | | | | End of split % 185.02/25.03 | | | | | | % 185.02/25.03 | | | | | End of split % 185.02/25.03 | | | | | % 185.02/25.03 | | | | End of split % 185.02/25.03 | | | | % 185.02/25.03 | | | Case 2: % 185.02/25.03 | | | | % 185.02/25.04 | | | | (175) (all_189_6 = all_189_30 & all_189_28 = 1 & or(all_189_8, % 185.02/25.04 | | | | all_189_7) = all_189_30 & eval_succeeds(all_189_8, % 185.02/25.04 | | | | all_189_29, 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/25.04 | | | | eval_succeeds(all_189_8, all_189_29, v0))) | (all_189_9 = % 185.02/25.04 | | | | all_189_30 & all_189_28 = 0 & and(all_189_11, all_189_10) = % 185.02/25.04 | | | | all_189_30 & eval_succeeds(all_189_10, all_189_29, 0) & ! % 185.02/25.04 | | | | [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_10, % 185.02/25.04 | | | | all_189_29, v0))) | (all_189_12 = all_189_30 & all_189_28 % 185.02/25.04 | | | | = 0 & and(all_189_14, all_189_13) = all_189_30 & % 185.02/25.04 | | | | eval_succeeds(all_189_14, all_189_29, 0) & ! [v0: $i] : (v0 % 185.02/25.04 | | | | = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_14, all_189_29, % 185.02/25.04 | | | | v0))) % 185.02/25.04 | | | | % 185.02/25.04 | | | | BETA: splitting (175) gives: % 185.02/25.04 | | | | % 185.02/25.04 | | | | Case 1: % 185.02/25.04 | | | | | % 185.02/25.04 | | | | | (176) all_189_6 = all_189_30 & all_189_28 = 1 & or(all_189_8, % 185.02/25.04 | | | | | all_189_7) = all_189_30 & eval_succeeds(all_189_8, % 185.02/25.04 | | | | | all_189_29, 1) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/25.04 | | | | | eval_succeeds(all_189_8, all_189_29, v0)) % 185.02/25.04 | | | | | % 185.02/25.04 | | | | | ALPHA: (176) implies: % 185.02/25.04 | | | | | (177) all_189_28 = 1 % 185.02/25.04 | | | | | (178) or(all_189_8, all_189_7) = all_189_30 % 185.02/25.04 | | | | | (179) ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.02/25.04 | | | | | eval_succeeds(all_189_8, all_189_29, v0)) % 185.02/25.04 | | | | | % 185.02/25.04 | | | | | REDUCE: (40), (177) imply: % 185.02/25.04 | | | | | (180) ~ (all_189_27 = 1) % 185.02/25.04 | | | | | % 185.02/25.04 | | | | | BETA: splitting (62) gives: % 185.02/25.04 | | | | | % 185.02/25.04 | | | | | Case 1: % 185.02/25.04 | | | | | | % 185.02/25.04 | | | | | | (181) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.04 | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.04 | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.04 | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.04 | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.04 | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.02/25.04 | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) = % 185.02/25.04 | | | | | | all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) | % 185.02/25.04 | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.02/25.04 | | | | | | all_389_10) = all_189_30 & eval_succeeds(all_389_10, % 185.02/25.04 | | | | | | all_189_29, 0)) | (all_389_12 = all_189_30 & all_189_27 % 185.02/25.04 | | | | | | = 0 & and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.04 | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.04 | | | | | | % 185.02/25.04 | | | | | | BETA: splitting (181) gives: % 185.02/25.04 | | | | | | % 185.02/25.04 | | | | | | Case 1: % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | | (182) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.04 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.04 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.04 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.04 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.04 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | | BETA: splitting (182) gives: % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | | Case 1: % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | (183) all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.04 | | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.04 | | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.04 | | | | | | | | 0) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | ALPHA: (183) implies: % 185.02/25.04 | | | | | | | | (184) all_189_27 = 0 % 185.02/25.04 | | | | | | | | (185) eval_succeeds(all_389_2, all_189_29, 0) % 185.02/25.04 | | | | | | | | (186) or(all_389_2, all_389_1) = all_189_30 % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | REDUCE: (180), (184) imply: % 185.02/25.04 | | | | | | | | (187) ~ (0 = 1) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | REDUCE: (18), (184) imply: % 185.02/25.04 | | | | | | | | (188) $i(0) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | GROUND_INST: instantiating (id36) with all_189_8, all_189_7, % 185.02/25.04 | | | | | | | | all_389_2, all_389_1, all_189_30, simplifying with % 185.02/25.04 | | | | | | | | (29), (30), (60), (61), (178), (186) gives: % 185.02/25.04 | | | | | | | | (189) all_389_2 = all_189_8 % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | REDUCE: (185), (189) imply: % 185.02/25.04 | | | | | | | | (190) eval_succeeds(all_189_8, all_189_29, 0) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | GROUND_INST: instantiating (179) with 0, simplifying with (188), % 185.02/25.04 | | | | | | | | (190) gives: % 185.02/25.04 | | | | | | | | (191) 0 = 1 % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | REDUCE: (187), (191) imply: % 185.02/25.04 | | | | | | | | (192) $false % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | CLOSE: (192) is inconsistent. % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | Case 2: % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | (193) all_389_3 = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.02/25.04 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.02/25.04 | | | | | | | | all_189_29, 1) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | ALPHA: (193) implies: % 185.02/25.04 | | | | | | | | (194) all_189_27 = 1 % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | REDUCE: (180), (194) imply: % 185.02/25.04 | | | | | | | | (195) $false % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | CLOSE: (195) is inconsistent. % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | End of split % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | Case 2: % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | | (196) (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/25.04 | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.02/25.04 | | | | | | | all_189_29, 1)) | (all_389_9 = all_189_30 & % 185.02/25.04 | | | | | | | all_189_27 = 0 & and(all_389_11, all_389_10) = % 185.02/25.04 | | | | | | | all_189_30 & eval_succeeds(all_389_10, all_189_29, 0)) % 185.02/25.04 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.04 | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.04 | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | | BETA: splitting (196) gives: % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | | Case 1: % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | (197) all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.02/25.04 | | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.02/25.04 | | | | | | | | all_189_29, 1) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | ALPHA: (197) implies: % 185.02/25.04 | | | | | | | | (198) all_189_27 = 1 % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | REDUCE: (180), (198) imply: % 185.02/25.04 | | | | | | | | (199) $false % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | CLOSE: (199) is inconsistent. % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | Case 2: % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | (200) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.04 | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.04 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.02/25.04 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.04 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.04 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | BETA: splitting (200) gives: % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | | Case 1: % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | (201) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.04 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.04 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | ALPHA: (201) implies: % 185.02/25.04 | | | | | | | | | (202) and(all_389_11, all_389_10) = all_189_30 % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | GROUND_INST: instantiating (id34) with all_389_11, all_389_10, % 185.02/25.04 | | | | | | | | | all_189_8, all_189_7, all_189_30, simplifying with % 185.02/25.04 | | | | | | | | | (29), (30), (54), (55), (178), (202) gives: % 185.02/25.04 | | | | | | | | | (203) $false % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | CLOSE: (203) is inconsistent. % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | Case 2: % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | (204) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.04 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.04 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | ALPHA: (204) implies: % 185.02/25.04 | | | | | | | | | (205) and(all_389_14, all_389_13) = all_189_30 % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | GROUND_INST: instantiating (id34) with all_389_14, all_389_13, % 185.02/25.04 | | | | | | | | | all_189_8, all_189_7, all_189_30, simplifying with % 185.02/25.04 | | | | | | | | | (29), (30), (52), (53), (178), (205) gives: % 185.02/25.04 | | | | | | | | | (206) $false % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | | CLOSE: (206) is inconsistent. % 185.02/25.04 | | | | | | | | | % 185.02/25.04 | | | | | | | | End of split % 185.02/25.04 | | | | | | | | % 185.02/25.04 | | | | | | | End of split % 185.02/25.04 | | | | | | | % 185.02/25.04 | | | | | | End of split % 185.02/25.04 | | | | | | % 185.02/25.04 | | | | | Case 2: % 185.02/25.04 | | | | | | % 185.02/25.04 | | | | | | (207) (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.02/25.04 | | | | | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.02/25.04 | | | | | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, % 185.02/25.04 | | | | | | 1)) | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.02/25.04 | | | | | | neg(all_389_19) = all_189_30 & eval_succeeds(all_389_19, % 185.02/25.04 | | | | | | all_189_29, 1)) | (all_389_20 = all_189_30 & all_189_27 % 185.02/25.04 | | | | | | = 1 & neg(all_389_21) = all_189_30 & % 185.02/25.04 | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.02/25.04 | | | | | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/25.04 | | | | | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) % 185.02/25.04 | | | | | | & member_succeeds(all_389_22, all_189_29)) | (all_389_25 % 185.02/25.04 | | | | | | = all_189_30 & all_189_27 = 1 & p(all_389_26) = % 185.02/25.04 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29)) % 185.02/25.04 | | | | | | % 185.02/25.04 | | | | | | BETA: splitting (207) gives: % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | | Case 1: % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | (208) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.02/25.05 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.02/25.05 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.02/25.05 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.02/25.05 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | BETA: splitting (208) gives: % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | Case 1: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | (209) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | ALPHA: (209) implies: % 185.02/25.05 | | | | | | | | (210) all_189_27 = 1 % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | REDUCE: (180), (210) imply: % 185.02/25.05 | | | | | | | | (211) $false % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | CLOSE: (211) is inconsistent. % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | Case 2: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | (212) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | ALPHA: (212) implies: % 185.02/25.05 | | | | | | | | (213) neg(all_389_19) = all_189_30 % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | GROUND_INST: instantiating (id31) with all_389_19, all_189_8, % 185.02/25.05 | | | | | | | | all_189_7, all_189_30, simplifying with (29), (30), % 185.02/25.05 | | | | | | | | (49), (178), (213) gives: % 185.02/25.05 | | | | | | | | (214) $false % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | CLOSE: (214) is inconsistent. % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | End of split % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | Case 2: % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | (215) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | neg(all_389_21) = all_189_30 & % 185.02/25.05 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.02/25.05 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.02/25.05 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.02/25.05 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.02/25.05 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.02/25.05 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.02/25.05 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | BETA: splitting (215) gives: % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | Case 1: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | (216) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | ALPHA: (216) implies: % 185.02/25.05 | | | | | | | | (217) all_189_27 = 1 % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | REDUCE: (180), (217) imply: % 185.02/25.05 | | | | | | | | (218) $false % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | CLOSE: (218) is inconsistent. % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | Case 2: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | (219) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.02/25.05 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.02/25.05 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.02/25.05 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | p(all_389_26) = all_189_30 & % 185.02/25.05 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | BETA: splitting (219) gives: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | Case 1: % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | (220) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.02/25.05 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.02/25.05 | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | ALPHA: (220) implies: % 185.02/25.05 | | | | | | | | | (221) p(all_389_24) = all_189_30 % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | GROUND_INST: instantiating (id28) with all_389_24, all_189_8, % 185.02/25.05 | | | | | | | | | all_189_7, all_189_30, simplifying with (29), % 185.02/25.05 | | | | | | | | | (30), (47), (178), (221) gives: % 185.02/25.05 | | | | | | | | | (222) $false % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | CLOSE: (222) is inconsistent. % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | Case 2: % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | (223) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.02/25.05 | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | ALPHA: (223) implies: % 185.02/25.05 | | | | | | | | | (224) all_189_27 = 1 % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | REDUCE: (180), (224) imply: % 185.02/25.05 | | | | | | | | | (225) $false % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | CLOSE: (225) is inconsistent. % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | End of split % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | End of split % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | End of split % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | End of split % 185.02/25.05 | | | | | % 185.02/25.05 | | | | Case 2: % 185.02/25.05 | | | | | % 185.02/25.05 | | | | | (226) (all_189_9 = all_189_30 & all_189_28 = 0 & and(all_189_11, % 185.02/25.05 | | | | | all_189_10) = all_189_30 & eval_succeeds(all_189_10, % 185.02/25.05 | | | | | all_189_29, 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.05 | | | | | eval_succeeds(all_189_10, all_189_29, v0))) | (all_189_12 % 185.02/25.05 | | | | | = all_189_30 & all_189_28 = 0 & and(all_189_14, all_189_13) % 185.02/25.05 | | | | | = all_189_30 & eval_succeeds(all_189_14, all_189_29, 0) & % 185.02/25.05 | | | | | ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.05 | | | | | eval_succeeds(all_189_14, all_189_29, v0))) % 185.02/25.05 | | | | | % 185.02/25.05 | | | | | BETA: splitting (226) gives: % 185.02/25.05 | | | | | % 185.02/25.05 | | | | | Case 1: % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | | (227) all_189_9 = all_189_30 & all_189_28 = 0 & and(all_189_11, % 185.02/25.05 | | | | | | all_189_10) = all_189_30 & eval_succeeds(all_189_10, % 185.02/25.05 | | | | | | all_189_29, 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.05 | | | | | | eval_succeeds(all_189_10, all_189_29, v0)) % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | | ALPHA: (227) implies: % 185.02/25.05 | | | | | | (228) all_189_28 = 0 % 185.02/25.05 | | | | | | (229) and(all_189_11, all_189_10) = all_189_30 % 185.02/25.05 | | | | | | (230) ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.02/25.05 | | | | | | eval_succeeds(all_189_10, all_189_29, v0)) % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | | REDUCE: (40), (228) imply: % 185.02/25.05 | | | | | | (231) ~ (all_189_27 = 0) % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | | BETA: splitting (62) gives: % 185.02/25.05 | | | | | | % 185.02/25.05 | | | | | | Case 1: % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | (232) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.02/25.05 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.02/25.05 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.02/25.05 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.05 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.02/25.05 | | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) % 185.02/25.05 | | | | | | | = all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) % 185.02/25.05 | | | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.02/25.05 | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 % 185.02/25.05 | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_14, % 185.02/25.05 | | | | | | | all_389_13) = all_189_30 & eval_succeeds(all_389_14, % 185.02/25.05 | | | | | | | all_189_29, 0)) % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | BETA: splitting (232) gives: % 185.02/25.05 | | | | | | | % 185.02/25.05 | | | | | | | Case 1: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | (233) (all_389_0 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0)) | (all_389_3 % 185.02/25.05 | | | | | | | | = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.02/25.05 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.02/25.05 | | | | | | | | all_189_29, 1)) % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | BETA: splitting (233) gives: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | Case 1: % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | (234) all_389_0 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.02/25.05 | | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.02/25.05 | | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0) % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | ALPHA: (234) implies: % 185.02/25.05 | | | | | | | | | (235) all_189_27 = 0 % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | REDUCE: (231), (235) imply: % 185.02/25.05 | | | | | | | | | (236) $false % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | CLOSE: (236) is inconsistent. % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | Case 2: % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | (237) all_389_3 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.02/25.05 | | | | | | | | | eval_succeeds(all_389_4, all_189_29, 1) % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | ALPHA: (237) implies: % 185.02/25.05 | | | | | | | | | (238) or(all_389_5, all_389_4) = all_189_30 % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | GROUND_INST: instantiating (id34) with all_189_11, all_189_10, % 185.02/25.05 | | | | | | | | | all_389_5, all_389_4, all_189_30, simplifying with % 185.02/25.05 | | | | | | | | | (27), (28), (58), (59), (229), (238) gives: % 185.02/25.05 | | | | | | | | | (239) $false % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | CLOSE: (239) is inconsistent. % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | End of split % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | Case 2: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | (240) (all_389_6 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1)) | (all_389_9 % 185.02/25.05 | | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.02/25.05 | | | | | | | | all_389_10) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.02/25.05 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.02/25.05 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.02/25.05 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | BETA: splitting (240) gives: % 185.02/25.05 | | | | | | | | % 185.02/25.05 | | | | | | | | Case 1: % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | (241) all_389_6 = all_189_30 & all_189_27 = 1 & % 185.02/25.05 | | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.02/25.05 | | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1) % 185.02/25.05 | | | | | | | | | % 185.02/25.05 | | | | | | | | | ALPHA: (241) implies: % 185.02/25.05 | | | | | | | | | (242) or(all_389_8, all_389_7) = all_189_30 % 185.02/25.05 | | | | | | | | | % 185.49/25.06 | | | | | | | | | GROUND_INST: instantiating (id34) with all_189_11, all_189_10, % 185.49/25.06 | | | | | | | | | all_389_8, all_389_7, all_189_30, simplifying with % 185.49/25.06 | | | | | | | | | (27), (28), (56), (57), (229), (242) gives: % 185.49/25.06 | | | | | | | | | (243) $false % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | CLOSE: (243) is inconsistent. % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | Case 2: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | (244) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.06 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.49/25.06 | | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.06 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | BETA: splitting (244) gives: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | Case 1: % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | (245) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.06 | | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | ALPHA: (245) implies: % 185.49/25.06 | | | | | | | | | | (246) all_189_27 = 0 % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | REDUCE: (231), (246) imply: % 185.49/25.06 | | | | | | | | | | (247) $false % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | CLOSE: (247) is inconsistent. % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | Case 2: % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | (248) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.06 | | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | ALPHA: (248) implies: % 185.49/25.06 | | | | | | | | | | (249) all_189_27 = 0 % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | REDUCE: (231), (249) imply: % 185.49/25.06 | | | | | | | | | | (250) $false % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | CLOSE: (250) is inconsistent. % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | End of split % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | End of split % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | End of split % 185.49/25.06 | | | | | | | % 185.49/25.06 | | | | | | Case 2: % 185.49/25.06 | | | | | | | % 185.49/25.06 | | | | | | | (251) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.06 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.06 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.49/25.06 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.49/25.06 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.49/25.06 | | | | | | | | (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.06 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.49/25.06 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.49/25.06 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.49/25.06 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.49/25.06 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.49/25.06 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.49/25.06 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.06 | | | | | | | % 185.49/25.06 | | | | | | | BETA: splitting (251) gives: % 185.49/25.06 | | | | | | | % 185.49/25.06 | | | | | | | Case 1: % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | | (252) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.06 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.06 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | % 185.49/25.06 | | | | | | | | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.49/25.06 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1)) % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | | BETA: splitting (252) gives: % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | | Case 1: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | (253) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.06 | | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.06 | | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | ALPHA: (253) implies: % 185.49/25.06 | | | | | | | | | (254) all_189_27 = 1 % 185.49/25.06 | | | | | | | | | (255) eval_succeeds(all_389_16, all_189_29, 1) % 185.49/25.06 | | | | | | | | | (256) and(all_389_17, all_389_16) = all_189_30 % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | REDUCE: (231), (254) imply: % 185.49/25.06 | | | | | | | | | (257) ~ (0 = 1) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | SIMP: (257) implies: % 185.49/25.06 | | | | | | | | | (258) ~ (0 = 1) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | REDUCE: (18), (254) imply: % 185.49/25.06 | | | | | | | | | (259) $i(1) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | GROUND_INST: instantiating (id32) with all_189_11, all_189_10, % 185.49/25.06 | | | | | | | | | all_389_17, all_389_16, all_189_30, simplifying % 185.49/25.06 | | | | | | | | | with (27), (28), (50), (51), (229), (256) gives: % 185.49/25.06 | | | | | | | | | (260) all_389_16 = all_189_10 % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | REDUCE: (255), (260) imply: % 185.49/25.06 | | | | | | | | | (261) eval_succeeds(all_189_10, all_189_29, 1) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | GROUND_INST: instantiating (230) with 1, simplifying with % 185.49/25.06 | | | | | | | | | (259), (261) gives: % 185.49/25.06 | | | | | | | | | (262) 0 = 1 % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | REDUCE: (258), (262) imply: % 185.49/25.06 | | | | | | | | | (263) $false % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | CLOSE: (263) is inconsistent. % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | Case 2: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | (264) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | neg(all_389_19) = all_189_30 & % 185.49/25.06 | | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | ALPHA: (264) implies: % 185.49/25.06 | | | | | | | | | (265) all_189_27 = 0 % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | REDUCE: (231), (265) imply: % 185.49/25.06 | | | | | | | | | (266) $false % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | CLOSE: (266) is inconsistent. % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | End of split % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | Case 2: % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | | (267) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.06 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | % 185.49/25.06 | | | | | | | | (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.06 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.06 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.49/25.06 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.06 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | | BETA: splitting (267) gives: % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | | Case 1: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | (268) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.06 | | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | ALPHA: (268) implies: % 185.49/25.06 | | | | | | | | | (269) neg(all_389_21) = all_189_30 % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | GROUND_INST: instantiating (id30) with all_389_21, all_189_11, % 185.49/25.06 | | | | | | | | | all_189_10, all_189_30, simplifying with (27), % 185.49/25.06 | | | | | | | | | (28), (48), (229), (269) gives: % 185.49/25.06 | | | | | | | | | (270) $false % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | CLOSE: (270) is inconsistent. % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | Case 2: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | (271) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.06 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.06 | | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.49/25.06 | | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.06 | | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | BETA: splitting (271) gives: % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | | Case 1: % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | (272) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.06 | | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.06 | | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.06 | | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | ALPHA: (272) implies: % 185.49/25.06 | | | | | | | | | | (273) all_189_27 = 0 % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | REDUCE: (231), (273) imply: % 185.49/25.06 | | | | | | | | | | (274) $false % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | CLOSE: (274) is inconsistent. % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | Case 2: % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | (275) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.06 | | | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.06 | | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | ALPHA: (275) implies: % 185.49/25.06 | | | | | | | | | | (276) p(all_389_26) = all_189_30 % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | GROUND_INST: instantiating (id27) with all_389_26, all_189_11, % 185.49/25.06 | | | | | | | | | | all_189_10, all_189_30, simplifying with (27), % 185.49/25.06 | | | | | | | | | | (28), (46), (229), (276) gives: % 185.49/25.06 | | | | | | | | | | (277) $false % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | | CLOSE: (277) is inconsistent. % 185.49/25.06 | | | | | | | | | | % 185.49/25.06 | | | | | | | | | End of split % 185.49/25.06 | | | | | | | | | % 185.49/25.06 | | | | | | | | End of split % 185.49/25.06 | | | | | | | | % 185.49/25.06 | | | | | | | End of split % 185.49/25.06 | | | | | | | % 185.49/25.06 | | | | | | End of split % 185.49/25.06 | | | | | | % 185.49/25.06 | | | | | Case 2: % 185.49/25.06 | | | | | | % 185.49/25.06 | | | | | | (278) all_189_12 = all_189_30 & all_189_28 = 0 & and(all_189_14, % 185.49/25.06 | | | | | | all_189_13) = all_189_30 & eval_succeeds(all_189_14, % 185.49/25.06 | | | | | | all_189_29, 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.49/25.06 | | | | | | eval_succeeds(all_189_14, all_189_29, v0)) % 185.49/25.06 | | | | | | % 185.49/25.06 | | | | | | ALPHA: (278) implies: % 185.49/25.06 | | | | | | (279) all_189_28 = 0 % 185.49/25.06 | | | | | | (280) and(all_189_14, all_189_13) = all_189_30 % 185.49/25.06 | | | | | | (281) ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.49/25.06 | | | | | | eval_succeeds(all_189_14, all_189_29, v0)) % 185.49/25.06 | | | | | | % 185.49/25.06 | | | | | | REDUCE: (40), (279) imply: % 185.49/25.06 | | | | | | (282) ~ (all_189_27 = 0) % 185.49/25.06 | | | | | | % 185.49/25.06 | | | | | | BETA: splitting (62) gives: % 185.49/25.06 | | | | | | % 185.49/25.06 | | | | | | Case 1: % 185.49/25.06 | | | | | | | % 185.49/25.07 | | | | | | | (283) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.07 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.07 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.07 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.49/25.07 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.49/25.07 | | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) % 185.49/25.07 | | | | | | | = all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) % 185.49/25.07 | | | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.07 | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 % 185.49/25.07 | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_14, % 185.49/25.07 | | | | | | | all_389_13) = all_189_30 & eval_succeeds(all_389_14, % 185.49/25.07 | | | | | | | all_189_29, 0)) % 185.49/25.07 | | | | | | | % 185.49/25.07 | | | | | | | BETA: splitting (283) gives: % 185.49/25.07 | | | | | | | % 185.49/25.07 | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | (284) (all_389_0 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0)) | (all_389_3 % 185.49/25.07 | | | | | | | | = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.49/25.07 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.49/25.07 | | | | | | | | all_189_29, 1)) % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | BETA: splitting (284) gives: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (285) all_389_0 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | ALPHA: (285) implies: % 185.49/25.07 | | | | | | | | | (286) all_189_27 = 0 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | REDUCE: (282), (286) imply: % 185.49/25.07 | | | | | | | | | (287) $false % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | CLOSE: (287) is inconsistent. % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (288) all_389_3 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_4, all_189_29, 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | ALPHA: (288) implies: % 185.49/25.07 | | | | | | | | | (289) or(all_389_5, all_389_4) = all_189_30 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | GROUND_INST: instantiating (id34) with all_189_14, all_189_13, % 185.49/25.07 | | | | | | | | | all_389_5, all_389_4, all_189_30, simplifying with % 185.49/25.07 | | | | | | | | | (25), (26), (58), (59), (280), (289) gives: % 185.49/25.07 | | | | | | | | | (290) $false % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | CLOSE: (290) is inconsistent. % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | End of split % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | (291) (all_389_6 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1)) | (all_389_9 % 185.49/25.07 | | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.49/25.07 | | | | | | | | all_389_10) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.49/25.07 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | BETA: splitting (291) gives: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (292) all_389_6 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | ALPHA: (292) implies: % 185.49/25.07 | | | | | | | | | (293) or(all_389_8, all_389_7) = all_189_30 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | GROUND_INST: instantiating (id34) with all_189_14, all_189_13, % 185.49/25.07 | | | | | | | | | all_389_8, all_389_7, all_189_30, simplifying with % 185.49/25.07 | | | | | | | | | (25), (26), (56), (57), (280), (293) gives: % 185.49/25.07 | | | | | | | | | (294) $false % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | CLOSE: (294) is inconsistent. % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (295) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.49/25.07 | | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | BETA: splitting (295) gives: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | (296) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.07 | | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | ALPHA: (296) implies: % 185.49/25.07 | | | | | | | | | | (297) all_189_27 = 0 % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | REDUCE: (282), (297) imply: % 185.49/25.07 | | | | | | | | | | (298) $false % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | CLOSE: (298) is inconsistent. % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | (299) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.07 | | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | ALPHA: (299) implies: % 185.49/25.07 | | | | | | | | | | (300) all_189_27 = 0 % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | REDUCE: (282), (300) imply: % 185.49/25.07 | | | | | | | | | | (301) $false % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | CLOSE: (301) is inconsistent. % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | End of split % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | End of split % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | End of split % 185.49/25.07 | | | | | | | % 185.49/25.07 | | | | | | Case 2: % 185.49/25.07 | | | | | | | % 185.49/25.07 | | | | | | | (302) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.07 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.07 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.49/25.07 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.49/25.07 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.49/25.07 | | | | | | | | (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.07 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.49/25.07 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.49/25.07 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.49/25.07 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.49/25.07 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.49/25.07 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.49/25.07 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.07 | | | | | | | % 185.49/25.07 | | | | | | | BETA: splitting (302) gives: % 185.49/25.07 | | | | | | | % 185.49/25.07 | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | (303) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | % 185.49/25.07 | | | | | | | | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1)) % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | BETA: splitting (303) gives: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (304) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | ALPHA: (304) implies: % 185.49/25.07 | | | | | | | | | (305) all_189_27 = 1 % 185.49/25.07 | | | | | | | | | (306) eval_succeeds(all_389_17, all_189_29, 1) % 185.49/25.07 | | | | | | | | | (307) and(all_389_17, all_389_16) = all_189_30 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | REDUCE: (282), (305) imply: % 185.49/25.07 | | | | | | | | | (308) ~ (0 = 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | SIMP: (308) implies: % 185.49/25.07 | | | | | | | | | (309) ~ (0 = 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | REDUCE: (18), (305) imply: % 185.49/25.07 | | | | | | | | | (310) $i(1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | GROUND_INST: instantiating (id33) with all_189_14, all_189_13, % 185.49/25.07 | | | | | | | | | all_389_17, all_389_16, all_189_30, simplifying % 185.49/25.07 | | | | | | | | | with (25), (26), (50), (51), (280), (307) gives: % 185.49/25.07 | | | | | | | | | (311) all_389_17 = all_189_14 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | REDUCE: (306), (311) imply: % 185.49/25.07 | | | | | | | | | (312) eval_succeeds(all_189_14, all_189_29, 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | GROUND_INST: instantiating (281) with 1, simplifying with % 185.49/25.07 | | | | | | | | | (310), (312) gives: % 185.49/25.07 | | | | | | | | | (313) 0 = 1 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | REDUCE: (309), (313) imply: % 185.49/25.07 | | | | | | | | | (314) $false % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | CLOSE: (314) is inconsistent. % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (315) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | neg(all_389_19) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | ALPHA: (315) implies: % 185.49/25.07 | | | | | | | | | (316) all_189_27 = 0 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | REDUCE: (282), (316) imply: % 185.49/25.07 | | | | | | | | | (317) $false % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | CLOSE: (317) is inconsistent. % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | End of split % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | (318) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.07 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | % 185.49/25.07 | | | | | | | | (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.07 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.07 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.49/25.07 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.07 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | BETA: splitting (318) gives: % 185.49/25.07 | | | | | | | | % 185.49/25.07 | | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (319) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.07 | | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | ALPHA: (319) implies: % 185.49/25.07 | | | | | | | | | (320) neg(all_389_21) = all_189_30 % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | GROUND_INST: instantiating (id30) with all_389_21, all_189_14, % 185.49/25.07 | | | | | | | | | all_189_13, all_189_30, simplifying with (25), % 185.49/25.07 | | | | | | | | | (26), (48), (280), (320) gives: % 185.49/25.07 | | | | | | | | | (321) $false % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | CLOSE: (321) is inconsistent. % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | (322) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.07 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.07 | | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.49/25.07 | | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.07 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.07 | | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | BETA: splitting (322) gives: % 185.49/25.07 | | | | | | | | | % 185.49/25.07 | | | | | | | | | Case 1: % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | (323) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.07 | | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.07 | | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.07 | | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | ALPHA: (323) implies: % 185.49/25.07 | | | | | | | | | | (324) all_189_27 = 0 % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | REDUCE: (282), (324) imply: % 185.49/25.07 | | | | | | | | | | (325) $false % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | | CLOSE: (325) is inconsistent. % 185.49/25.07 | | | | | | | | | | % 185.49/25.07 | | | | | | | | | Case 2: % 185.49/25.07 | | | | | | | | | | % 185.49/25.08 | | | | | | | | | | (326) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.08 | | | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.08 | | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.49/25.08 | | | | | | | | | | % 185.49/25.08 | | | | | | | | | | ALPHA: (326) implies: % 185.49/25.08 | | | | | | | | | | (327) p(all_389_26) = all_189_30 % 185.49/25.08 | | | | | | | | | | % 185.49/25.08 | | | | | | | | | | GROUND_INST: instantiating (id27) with all_389_26, all_189_14, % 185.49/25.08 | | | | | | | | | | all_189_13, all_189_30, simplifying with (25), % 185.49/25.08 | | | | | | | | | | (26), (46), (280), (327) gives: % 185.49/25.08 | | | | | | | | | | (328) $false % 185.49/25.08 | | | | | | | | | | % 185.49/25.08 | | | | | | | | | | CLOSE: (328) is inconsistent. % 185.49/25.08 | | | | | | | | | | % 185.49/25.08 | | | | | | | | | End of split % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | End of split % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | End of split % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | End of split % 185.49/25.08 | | | | | | % 185.49/25.08 | | | | | End of split % 185.49/25.08 | | | | | % 185.49/25.08 | | | | End of split % 185.49/25.08 | | | | % 185.49/25.08 | | | End of split % 185.49/25.08 | | | % 185.49/25.08 | | Case 2: % 185.49/25.08 | | | % 185.49/25.08 | | | (329) (all_189_15 = all_189_30 & all_189_28 = 1 & and(all_189_17, % 185.49/25.08 | | | all_189_16) = all_189_30 & eval_succeeds(all_189_16, % 185.49/25.08 | | | all_189_29, 1) & eval_succeeds(all_189_17, all_189_29, 1) & % 185.49/25.08 | | | ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_16, % 185.49/25.08 | | | all_189_29, v0)) & ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.49/25.08 | | | eval_succeeds(all_189_17, all_189_29, v0))) | (all_189_18 = % 185.49/25.08 | | | all_189_30 & all_189_28 = 0 & neg(all_189_19) = all_189_30 & % 185.49/25.08 | | | eval_succeeds(all_189_19, all_189_29, 1) & ! [v0: $i] : (v0 = % 185.49/25.08 | | | 1 | ~ $i(v0) | ~ eval_succeeds(all_189_19, all_189_29, % 185.49/25.08 | | | v0))) | (all_189_20 = all_189_30 & all_189_28 = 1 & % 185.49/25.08 | | | neg(all_189_21) = all_189_30 & eval_succeeds(all_189_21, % 185.49/25.08 | | | all_189_29, 0) & ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.49/25.08 | | | eval_succeeds(all_189_21, all_189_29, v0))) | (all_189_23 = % 185.49/25.08 | | | all_189_30 & all_189_28 = 0 & neg(all_189_30) = all_189_22 & % 185.49/25.08 | | | p(all_189_24) = all_189_30 & $i(all_189_22) & % 185.49/25.08 | | | member_succeeds(all_189_22, all_189_29)) | (all_189_25 = % 185.49/25.08 | | | all_189_30 & all_189_28 = 1 & p(all_189_26) = all_189_30 & % 185.49/25.08 | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.08 | | | % 185.49/25.08 | | | BETA: splitting (329) gives: % 185.49/25.08 | | | % 185.49/25.08 | | | Case 1: % 185.49/25.08 | | | | % 185.49/25.08 | | | | (330) (all_189_15 = all_189_30 & all_189_28 = 1 & and(all_189_17, % 185.49/25.08 | | | | all_189_16) = all_189_30 & eval_succeeds(all_189_16, % 185.49/25.08 | | | | all_189_29, 1) & eval_succeeds(all_189_17, all_189_29, 1) & % 185.49/25.08 | | | | ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.49/25.08 | | | | eval_succeeds(all_189_16, all_189_29, v0)) & ! [v0: $i] : % 185.49/25.08 | | | | (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_17, % 185.49/25.08 | | | | all_189_29, v0))) | (all_189_18 = all_189_30 & all_189_28 % 185.49/25.08 | | | | = 0 & neg(all_189_19) = all_189_30 & % 185.49/25.08 | | | | eval_succeeds(all_189_19, all_189_29, 1) & ! [v0: $i] : (v0 % 185.49/25.08 | | | | = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_19, all_189_29, % 185.49/25.08 | | | | v0))) % 185.49/25.08 | | | | % 185.49/25.08 | | | | BETA: splitting (330) gives: % 185.49/25.08 | | | | % 185.49/25.08 | | | | Case 1: % 185.49/25.08 | | | | | % 185.49/25.08 | | | | | (331) all_189_15 = all_189_30 & all_189_28 = 1 & and(all_189_17, % 185.49/25.08 | | | | | all_189_16) = all_189_30 & eval_succeeds(all_189_16, % 185.49/25.08 | | | | | all_189_29, 1) & eval_succeeds(all_189_17, all_189_29, 1) & % 185.49/25.08 | | | | | ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.49/25.08 | | | | | eval_succeeds(all_189_16, all_189_29, v0)) & ! [v0: $i] : % 185.49/25.08 | | | | | (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_17, % 185.49/25.08 | | | | | all_189_29, v0)) % 185.49/25.08 | | | | | % 185.49/25.08 | | | | | ALPHA: (331) implies: % 185.49/25.08 | | | | | (332) all_189_28 = 1 % 185.49/25.08 | | | | | (333) and(all_189_17, all_189_16) = all_189_30 % 185.49/25.08 | | | | | (334) ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.49/25.08 | | | | | eval_succeeds(all_189_17, all_189_29, v0)) % 185.49/25.08 | | | | | (335) ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.49/25.08 | | | | | eval_succeeds(all_189_16, all_189_29, v0)) % 185.49/25.08 | | | | | % 185.49/25.08 | | | | | REDUCE: (40), (332) imply: % 185.49/25.08 | | | | | (336) ~ (all_189_27 = 1) % 185.49/25.08 | | | | | % 185.49/25.08 | | | | | BETA: splitting (62) gives: % 185.49/25.08 | | | | | % 185.49/25.08 | | | | | Case 1: % 185.49/25.08 | | | | | | % 185.49/25.08 | | | | | | (337) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.08 | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.08 | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.08 | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.49/25.08 | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.49/25.08 | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.49/25.08 | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) = % 185.49/25.08 | | | | | | all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) | % 185.49/25.08 | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.49/25.08 | | | | | | all_389_10) = all_189_30 & eval_succeeds(all_389_10, % 185.49/25.08 | | | | | | all_189_29, 0)) | (all_389_12 = all_189_30 & all_189_27 % 185.49/25.08 | | | | | | = 0 & and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.08 | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.08 | | | | | | % 185.49/25.08 | | | | | | BETA: splitting (337) gives: % 185.49/25.08 | | | | | | % 185.49/25.08 | | | | | | Case 1: % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | | (338) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.08 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.08 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.08 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.49/25.08 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.49/25.08 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | | BETA: splitting (338) gives: % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | | Case 1: % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | (339) all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.08 | | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.08 | | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.08 | | | | | | | | 0) % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | ALPHA: (339) implies: % 185.49/25.08 | | | | | | | | (340) or(all_389_2, all_389_1) = all_189_30 % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | GROUND_INST: instantiating (id34) with all_189_17, all_189_16, % 185.49/25.08 | | | | | | | | all_389_2, all_389_1, all_189_30, simplifying with % 185.49/25.08 | | | | | | | | (23), (24), (60), (61), (333), (340) gives: % 185.49/25.08 | | | | | | | | (341) $false % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | CLOSE: (341) is inconsistent. % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | Case 2: % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | (342) all_389_3 = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.49/25.08 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.49/25.08 | | | | | | | | all_189_29, 1) % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | ALPHA: (342) implies: % 185.49/25.08 | | | | | | | | (343) all_189_27 = 1 % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | REDUCE: (336), (343) imply: % 185.49/25.08 | | | | | | | | (344) $false % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | CLOSE: (344) is inconsistent. % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | End of split % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | Case 2: % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | | (345) (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.49/25.08 | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.49/25.08 | | | | | | | all_189_29, 1)) | (all_389_9 = all_189_30 & % 185.49/25.08 | | | | | | | all_189_27 = 0 & and(all_389_11, all_389_10) = % 185.49/25.08 | | | | | | | all_189_30 & eval_succeeds(all_389_10, all_189_29, 0)) % 185.49/25.08 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.08 | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.08 | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | | BETA: splitting (345) gives: % 185.49/25.08 | | | | | | | % 185.49/25.08 | | | | | | | Case 1: % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | (346) all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.49/25.08 | | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.49/25.08 | | | | | | | | all_189_29, 1) % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | ALPHA: (346) implies: % 185.49/25.08 | | | | | | | | (347) all_189_27 = 1 % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | REDUCE: (336), (347) imply: % 185.49/25.08 | | | | | | | | (348) $false % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | CLOSE: (348) is inconsistent. % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | Case 2: % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | (349) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.08 | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.08 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.49/25.08 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.08 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.08 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | BETA: splitting (349) gives: % 185.49/25.08 | | | | | | | | % 185.49/25.08 | | | | | | | | Case 1: % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | (350) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.08 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.08 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | ALPHA: (350) implies: % 185.49/25.08 | | | | | | | | | (351) all_189_27 = 0 % 185.49/25.08 | | | | | | | | | (352) eval_succeeds(all_389_10, all_189_29, 0) % 185.49/25.08 | | | | | | | | | (353) and(all_389_11, all_389_10) = all_189_30 % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | REDUCE: (336), (351) imply: % 185.49/25.08 | | | | | | | | | (354) ~ (0 = 1) % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | REDUCE: (18), (351) imply: % 185.49/25.08 | | | | | | | | | (355) $i(0) % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | GROUND_INST: instantiating (id32) with all_189_17, all_189_16, % 185.49/25.08 | | | | | | | | | all_389_11, all_389_10, all_189_30, simplifying % 185.49/25.08 | | | | | | | | | with (23), (24), (54), (55), (333), (353) gives: % 185.49/25.08 | | | | | | | | | (356) all_389_10 = all_189_16 % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | REDUCE: (352), (356) imply: % 185.49/25.08 | | | | | | | | | (357) eval_succeeds(all_189_16, all_189_29, 0) % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | GROUND_INST: instantiating (335) with 0, simplifying with % 185.49/25.08 | | | | | | | | | (355), (357) gives: % 185.49/25.08 | | | | | | | | | (358) 0 = 1 % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | REDUCE: (354), (358) imply: % 185.49/25.08 | | | | | | | | | (359) $false % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | CLOSE: (359) is inconsistent. % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | Case 2: % 185.49/25.08 | | | | | | | | | % 185.49/25.08 | | | | | | | | | (360) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.08 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.08 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | ALPHA: (360) implies: % 185.49/25.09 | | | | | | | | | (361) all_189_27 = 0 % 185.49/25.09 | | | | | | | | | (362) eval_succeeds(all_389_14, all_189_29, 0) % 185.49/25.09 | | | | | | | | | (363) and(all_389_14, all_389_13) = all_189_30 % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | REDUCE: (336), (361) imply: % 185.49/25.09 | | | | | | | | | (364) ~ (0 = 1) % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | REDUCE: (18), (361) imply: % 185.49/25.09 | | | | | | | | | (365) $i(0) % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | GROUND_INST: instantiating (id33) with all_189_17, all_189_16, % 185.49/25.09 | | | | | | | | | all_389_14, all_389_13, all_189_30, simplifying % 185.49/25.09 | | | | | | | | | with (23), (24), (52), (53), (333), (363) gives: % 185.49/25.09 | | | | | | | | | (366) all_389_14 = all_189_17 % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | REDUCE: (362), (366) imply: % 185.49/25.09 | | | | | | | | | (367) eval_succeeds(all_189_17, all_189_29, 0) % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | GROUND_INST: instantiating (334) with 0, simplifying with % 185.49/25.09 | | | | | | | | | (365), (367) gives: % 185.49/25.09 | | | | | | | | | (368) 0 = 1 % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | REDUCE: (364), (368) imply: % 185.49/25.09 | | | | | | | | | (369) $false % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | CLOSE: (369) is inconsistent. % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | End of split % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | End of split % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | End of split % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | Case 2: % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | | (370) (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.49/25.09 | | | | | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.49/25.09 | | | | | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, % 185.49/25.09 | | | | | | 1)) | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.49/25.09 | | | | | | neg(all_389_19) = all_189_30 & eval_succeeds(all_389_19, % 185.49/25.09 | | | | | | all_189_29, 1)) | (all_389_20 = all_189_30 & all_189_27 % 185.49/25.09 | | | | | | = 1 & neg(all_389_21) = all_189_30 & % 185.49/25.09 | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.49/25.09 | | | | | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.49/25.09 | | | | | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) % 185.49/25.09 | | | | | | & member_succeeds(all_389_22, all_189_29)) | (all_389_25 % 185.49/25.09 | | | | | | = all_189_30 & all_189_27 = 1 & p(all_389_26) = % 185.49/25.09 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29)) % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | | BETA: splitting (370) gives: % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | | Case 1: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | (371) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.09 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.09 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.49/25.09 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.49/25.09 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | BETA: splitting (371) gives: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | Case 1: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | (372) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.49/25.09 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.49/25.09 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | ALPHA: (372) implies: % 185.49/25.09 | | | | | | | | (373) all_189_27 = 1 % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | REDUCE: (336), (373) imply: % 185.49/25.09 | | | | | | | | (374) $false % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | CLOSE: (374) is inconsistent. % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | Case 2: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | (375) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.49/25.09 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.49/25.09 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | ALPHA: (375) implies: % 185.49/25.09 | | | | | | | | (376) neg(all_389_19) = all_189_30 % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | GROUND_INST: instantiating (id30) with all_389_19, all_189_17, % 185.49/25.09 | | | | | | | | all_189_16, all_189_30, simplifying with (23), % 185.49/25.09 | | | | | | | | (24), (49), (333), (376) gives: % 185.49/25.09 | | | | | | | | (377) $false % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | CLOSE: (377) is inconsistent. % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | End of split % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | Case 2: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | (378) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.09 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.49/25.09 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.49/25.09 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.49/25.09 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.49/25.09 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.49/25.09 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.49/25.09 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | BETA: splitting (378) gives: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | Case 1: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | (379) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.49/25.09 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | ALPHA: (379) implies: % 185.49/25.09 | | | | | | | | (380) all_189_27 = 1 % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | REDUCE: (336), (380) imply: % 185.49/25.09 | | | | | | | | (381) $false % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | CLOSE: (381) is inconsistent. % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | Case 2: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | (382) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.09 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.09 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.09 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.49/25.09 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.09 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | BETA: splitting (382) gives: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | Case 1: % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | (383) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.49/25.09 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.49/25.09 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.49/25.09 | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | ALPHA: (383) implies: % 185.49/25.09 | | | | | | | | | (384) p(all_389_24) = all_189_30 % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | GROUND_INST: instantiating (id27) with all_389_24, all_189_17, % 185.49/25.09 | | | | | | | | | all_189_16, all_189_30, simplifying with (23), % 185.49/25.09 | | | | | | | | | (24), (47), (333), (384) gives: % 185.49/25.09 | | | | | | | | | (385) $false % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | CLOSE: (385) is inconsistent. % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | Case 2: % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | (386) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.49/25.09 | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | ALPHA: (386) implies: % 185.49/25.09 | | | | | | | | | (387) all_189_27 = 1 % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | REDUCE: (336), (387) imply: % 185.49/25.09 | | | | | | | | | (388) $false % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | | CLOSE: (388) is inconsistent. % 185.49/25.09 | | | | | | | | | % 185.49/25.09 | | | | | | | | End of split % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | End of split % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | End of split % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | End of split % 185.49/25.09 | | | | | % 185.49/25.09 | | | | Case 2: % 185.49/25.09 | | | | | % 185.49/25.09 | | | | | (389) all_189_18 = all_189_30 & all_189_28 = 0 & neg(all_189_19) = % 185.49/25.09 | | | | | all_189_30 & eval_succeeds(all_189_19, all_189_29, 1) & ! % 185.49/25.09 | | | | | [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ eval_succeeds(all_189_19, % 185.49/25.09 | | | | | all_189_29, v0)) % 185.49/25.09 | | | | | % 185.49/25.09 | | | | | ALPHA: (389) implies: % 185.49/25.09 | | | | | (390) all_189_28 = 0 % 185.49/25.09 | | | | | (391) neg(all_189_19) = all_189_30 % 185.49/25.09 | | | | | (392) ! [v0: $i] : (v0 = 1 | ~ $i(v0) | ~ % 185.49/25.09 | | | | | eval_succeeds(all_189_19, all_189_29, v0)) % 185.49/25.09 | | | | | % 185.49/25.09 | | | | | REDUCE: (40), (390) imply: % 185.49/25.09 | | | | | (393) ~ (all_189_27 = 0) % 185.49/25.09 | | | | | % 185.49/25.09 | | | | | REDUCE: (17), (390) imply: % 185.49/25.09 | | | | | (394) $i(0) % 185.49/25.09 | | | | | % 185.49/25.09 | | | | | BETA: splitting (62) gives: % 185.49/25.09 | | | | | % 185.49/25.09 | | | | | Case 1: % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | | (395) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.09 | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.09 | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.09 | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.49/25.09 | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.49/25.09 | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) = % 185.49/25.09 | | | | | | all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) | % 185.49/25.09 | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.49/25.09 | | | | | | all_389_10) = all_189_30 & eval_succeeds(all_389_10, % 185.49/25.09 | | | | | | all_189_29, 0)) | (all_389_12 = all_189_30 & all_189_27 % 185.49/25.09 | | | | | | = 0 & and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.09 | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | | BETA: splitting (395) gives: % 185.49/25.09 | | | | | | % 185.49/25.09 | | | | | | Case 1: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | (396) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.09 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.09 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.09 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.49/25.09 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.49/25.09 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | BETA: splitting (396) gives: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | Case 1: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | (397) all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.49/25.09 | | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.49/25.09 | | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.49/25.09 | | | | | | | | 0) % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | ALPHA: (397) implies: % 185.49/25.09 | | | | | | | | (398) all_189_27 = 0 % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | REDUCE: (393), (398) imply: % 185.49/25.09 | | | | | | | | (399) $false % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | CLOSE: (399) is inconsistent. % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | Case 2: % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | (400) all_389_3 = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.49/25.09 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.49/25.09 | | | | | | | | all_189_29, 1) % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | ALPHA: (400) implies: % 185.49/25.09 | | | | | | | | (401) or(all_389_5, all_389_4) = all_189_30 % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | GROUND_INST: instantiating (id31) with all_189_19, all_389_5, % 185.49/25.09 | | | | | | | | all_389_4, all_189_30, simplifying with (22), (58), % 185.49/25.09 | | | | | | | | (59), (391), (401) gives: % 185.49/25.09 | | | | | | | | (402) $false % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | | CLOSE: (402) is inconsistent. % 185.49/25.09 | | | | | | | | % 185.49/25.09 | | | | | | | End of split % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | Case 2: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | (403) (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.49/25.09 | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.49/25.09 | | | | | | | all_189_29, 1)) | (all_389_9 = all_189_30 & % 185.49/25.09 | | | | | | | all_189_27 = 0 & and(all_389_11, all_389_10) = % 185.49/25.09 | | | | | | | all_189_30 & eval_succeeds(all_389_10, all_189_29, 0)) % 185.49/25.09 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.09 | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.09 | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | BETA: splitting (403) gives: % 185.49/25.09 | | | | | | | % 185.49/25.09 | | | | | | | Case 1: % 185.49/25.09 | | | | | | | | % 185.49/25.10 | | | | | | | | (404) all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.49/25.10 | | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.49/25.10 | | | | | | | | all_189_29, 1) % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | | ALPHA: (404) implies: % 185.49/25.10 | | | | | | | | (405) or(all_389_8, all_389_7) = all_189_30 % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | | GROUND_INST: instantiating (id31) with all_189_19, all_389_8, % 185.49/25.10 | | | | | | | | all_389_7, all_189_30, simplifying with (22), (56), % 185.49/25.10 | | | | | | | | (57), (391), (405) gives: % 185.49/25.10 | | | | | | | | (406) $false % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | | CLOSE: (406) is inconsistent. % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | Case 2: % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | | (407) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.10 | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.10 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.49/25.10 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.49/25.10 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.49/25.10 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | | BETA: splitting (407) gives: % 185.49/25.10 | | | | | | | | % 185.49/25.10 | | | | | | | | Case 1: % 185.49/25.10 | | | | | | | | | % 185.49/25.10 | | | | | | | | | (408) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.49/25.10 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.49/25.10 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.49/25.10 | | | | | | | | | % 185.49/25.10 | | | | | | | | | ALPHA: (408) implies: % 185.49/25.10 | | | | | | | | | (409) all_189_27 = 0 % 185.49/25.10 | | | | | | | | | % 185.49/25.10 | | | | | | | | | REDUCE: (393), (409) imply: % 185.49/25.10 | | | | | | | | | (410) $false % 185.49/25.10 | | | | | | | | | % 185.49/25.10 | | | | | | | | | CLOSE: (410) is inconsistent. % 185.49/25.10 | | | | | | | | | % 185.49/25.10 | | | | | | | | Case 2: % 185.49/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | (411) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.10 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.10 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | ALPHA: (411) implies: % 185.67/25.10 | | | | | | | | | (412) all_189_27 = 0 % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | REDUCE: (393), (412) imply: % 185.67/25.10 | | | | | | | | | (413) $false % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | CLOSE: (413) is inconsistent. % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | End of split % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | End of split % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | End of split % 185.67/25.10 | | | | | | % 185.67/25.10 | | | | | Case 2: % 185.67/25.10 | | | | | | % 185.67/25.10 | | | | | | (414) (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.67/25.10 | | | | | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.67/25.10 | | | | | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, % 185.67/25.10 | | | | | | 1)) | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.10 | | | | | | neg(all_389_19) = all_189_30 & eval_succeeds(all_389_19, % 185.67/25.10 | | | | | | all_189_29, 1)) | (all_389_20 = all_189_30 & all_189_27 % 185.67/25.10 | | | | | | = 1 & neg(all_389_21) = all_189_30 & % 185.67/25.10 | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.67/25.10 | | | | | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.67/25.10 | | | | | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) % 185.67/25.10 | | | | | | & member_succeeds(all_389_22, all_189_29)) | (all_389_25 % 185.67/25.10 | | | | | | = all_189_30 & all_189_27 = 1 & p(all_389_26) = % 185.67/25.10 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29)) % 185.67/25.10 | | | | | | % 185.67/25.10 | | | | | | BETA: splitting (414) gives: % 185.67/25.10 | | | | | | % 185.67/25.10 | | | | | | Case 1: % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | | (415) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.10 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.10 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.10 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.67/25.10 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.67/25.10 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | | BETA: splitting (415) gives: % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | | Case 1: % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | (416) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.10 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.10 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.10 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | ALPHA: (416) implies: % 185.67/25.10 | | | | | | | | (417) and(all_389_17, all_389_16) = all_189_30 % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | GROUND_INST: instantiating (id30) with all_189_19, all_389_17, % 185.67/25.10 | | | | | | | | all_389_16, all_189_30, simplifying with (22), % 185.67/25.10 | | | | | | | | (50), (51), (391), (417) gives: % 185.67/25.10 | | | | | | | | (418) $false % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | CLOSE: (418) is inconsistent. % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | Case 2: % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | (419) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.10 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.67/25.10 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | ALPHA: (419) implies: % 185.67/25.10 | | | | | | | | (420) all_189_27 = 0 % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | REDUCE: (393), (420) imply: % 185.67/25.10 | | | | | | | | (421) $false % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | CLOSE: (421) is inconsistent. % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | End of split % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | Case 2: % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | | (422) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.10 | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.10 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.67/25.10 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.67/25.10 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.67/25.10 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.67/25.10 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.67/25.10 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.67/25.10 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | | BETA: splitting (422) gives: % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | | Case 1: % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | (423) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.10 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.10 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | ALPHA: (423) implies: % 185.67/25.10 | | | | | | | | (424) all_189_27 = 1 % 185.67/25.10 | | | | | | | | (425) eval_succeeds(all_389_21, all_189_29, 0) % 185.67/25.10 | | | | | | | | (426) neg(all_389_21) = all_189_30 % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | REDUCE: (393), (424) imply: % 185.67/25.10 | | | | | | | | (427) ~ (0 = 1) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | SIMP: (427) implies: % 185.67/25.10 | | | | | | | | (428) ~ (0 = 1) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | GROUND_INST: instantiating (id29) with all_189_19, all_389_21, % 185.67/25.10 | | | | | | | | all_189_30, simplifying with (22), (48), (391), % 185.67/25.10 | | | | | | | | (426) gives: % 185.67/25.10 | | | | | | | | (429) all_389_21 = all_189_19 % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | REDUCE: (425), (429) imply: % 185.67/25.10 | | | | | | | | (430) eval_succeeds(all_189_19, all_189_29, 0) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | GROUND_INST: instantiating (392) with 0, simplifying with (394), % 185.67/25.10 | | | | | | | | (430) gives: % 185.67/25.10 | | | | | | | | (431) 0 = 1 % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | REDUCE: (428), (431) imply: % 185.67/25.10 | | | | | | | | (432) $false % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | CLOSE: (432) is inconsistent. % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | Case 2: % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | (433) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.10 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.10 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.10 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.67/25.10 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.10 | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.10 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | BETA: splitting (433) gives: % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | | Case 1: % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | (434) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.10 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.10 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.10 | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | ALPHA: (434) implies: % 185.67/25.10 | | | | | | | | | (435) all_189_27 = 0 % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | REDUCE: (393), (435) imply: % 185.67/25.10 | | | | | | | | | (436) $false % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | CLOSE: (436) is inconsistent. % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | Case 2: % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | (437) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.10 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.10 | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | ALPHA: (437) implies: % 185.67/25.10 | | | | | | | | | (438) p(all_389_26) = all_189_30 % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | GROUND_INST: instantiating (id26) with all_389_26, all_189_19, % 185.67/25.10 | | | | | | | | | all_189_30, simplifying with (22), (46), (391), % 185.67/25.10 | | | | | | | | | (438) gives: % 185.67/25.10 | | | | | | | | | (439) $false % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | | CLOSE: (439) is inconsistent. % 185.67/25.10 | | | | | | | | | % 185.67/25.10 | | | | | | | | End of split % 185.67/25.10 | | | | | | | | % 185.67/25.10 | | | | | | | End of split % 185.67/25.10 | | | | | | | % 185.67/25.10 | | | | | | End of split % 185.67/25.10 | | | | | | % 185.67/25.10 | | | | | End of split % 185.67/25.10 | | | | | % 185.67/25.10 | | | | End of split % 185.67/25.10 | | | | % 185.67/25.10 | | | Case 2: % 185.67/25.10 | | | | % 185.67/25.10 | | | | (440) (all_189_20 = all_189_30 & all_189_28 = 1 & neg(all_189_21) = % 185.67/25.10 | | | | all_189_30 & eval_succeeds(all_189_21, all_189_29, 0) & ! % 185.67/25.10 | | | | [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_21, % 185.67/25.10 | | | | all_189_29, v0))) | (all_189_23 = all_189_30 & all_189_28 % 185.67/25.10 | | | | = 0 & neg(all_189_30) = all_189_22 & p(all_189_24) = % 185.67/25.10 | | | | all_189_30 & $i(all_189_22) & member_succeeds(all_189_22, % 185.67/25.10 | | | | all_189_29)) | (all_189_25 = all_189_30 & all_189_28 = 1 & % 185.67/25.10 | | | | p(all_189_26) = all_189_30 & member_succeeds(all_189_30, % 185.67/25.10 | | | | all_189_29)) % 185.67/25.10 | | | | % 185.67/25.10 | | | | BETA: splitting (440) gives: % 185.67/25.10 | | | | % 185.67/25.10 | | | | Case 1: % 185.67/25.10 | | | | | % 185.67/25.10 | | | | | (441) all_189_20 = all_189_30 & all_189_28 = 1 & neg(all_189_21) = % 185.67/25.10 | | | | | all_189_30 & eval_succeeds(all_189_21, all_189_29, 0) & ! % 185.67/25.10 | | | | | [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ eval_succeeds(all_189_21, % 185.67/25.10 | | | | | all_189_29, v0)) % 185.67/25.10 | | | | | % 185.67/25.10 | | | | | ALPHA: (441) implies: % 185.67/25.10 | | | | | (442) all_189_28 = 1 % 185.67/25.10 | | | | | (443) neg(all_189_21) = all_189_30 % 185.67/25.10 | | | | | (444) ! [v0: $i] : (v0 = 0 | ~ $i(v0) | ~ % 185.67/25.10 | | | | | eval_succeeds(all_189_21, all_189_29, v0)) % 185.67/25.10 | | | | | % 185.67/25.10 | | | | | REDUCE: (40), (442) imply: % 185.67/25.10 | | | | | (445) ~ (all_189_27 = 1) % 185.67/25.10 | | | | | % 185.67/25.10 | | | | | REDUCE: (17), (442) imply: % 185.67/25.10 | | | | | (446) $i(1) % 185.67/25.10 | | | | | % 185.67/25.10 | | | | | BETA: splitting (62) gives: % 185.67/25.10 | | | | | % 185.67/25.10 | | | | | Case 1: % 185.67/25.10 | | | | | | % 185.67/25.11 | | | | | | (447) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.67/25.11 | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.67/25.11 | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.67/25.11 | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.67/25.11 | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.67/25.11 | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) = % 185.67/25.11 | | | | | | all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) | % 185.67/25.11 | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.67/25.11 | | | | | | all_389_10) = all_189_30 & eval_succeeds(all_389_10, % 185.67/25.11 | | | | | | all_189_29, 0)) | (all_389_12 = all_189_30 & all_189_27 % 185.67/25.11 | | | | | | = 0 & and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.11 | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | | BETA: splitting (447) gives: % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | | Case 1: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | (448) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.67/25.11 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.67/25.11 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.67/25.11 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.67/25.11 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | BETA: splitting (448) gives: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | Case 1: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (449) all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.67/25.11 | | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.67/25.11 | | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.67/25.11 | | | | | | | | 0) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | ALPHA: (449) implies: % 185.67/25.11 | | | | | | | | (450) or(all_389_2, all_389_1) = all_189_30 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | GROUND_INST: instantiating (id31) with all_189_21, all_389_2, % 185.67/25.11 | | | | | | | | all_389_1, all_189_30, simplifying with (21), (60), % 185.67/25.11 | | | | | | | | (61), (443), (450) gives: % 185.67/25.11 | | | | | | | | (451) $false % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | CLOSE: (451) is inconsistent. % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | Case 2: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (452) all_389_3 = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.67/25.11 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.67/25.11 | | | | | | | | all_189_29, 1) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | ALPHA: (452) implies: % 185.67/25.11 | | | | | | | | (453) all_189_27 = 1 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (445), (453) imply: % 185.67/25.11 | | | | | | | | (454) $false % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | CLOSE: (454) is inconsistent. % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | End of split % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | Case 2: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | (455) (all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.67/25.11 | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.67/25.11 | | | | | | | all_189_29, 1)) | (all_389_9 = all_189_30 & % 185.67/25.11 | | | | | | | all_189_27 = 0 & and(all_389_11, all_389_10) = % 185.67/25.11 | | | | | | | all_189_30 & eval_succeeds(all_389_10, all_189_29, 0)) % 185.67/25.11 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.11 | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | BETA: splitting (455) gives: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | Case 1: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (456) all_389_6 = all_189_30 & all_189_27 = 1 & or(all_389_8, % 185.67/25.11 | | | | | | | | all_389_7) = all_189_30 & eval_succeeds(all_389_8, % 185.67/25.11 | | | | | | | | all_189_29, 1) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | ALPHA: (456) implies: % 185.67/25.11 | | | | | | | | (457) all_189_27 = 1 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (445), (457) imply: % 185.67/25.11 | | | | | | | | (458) $false % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | CLOSE: (458) is inconsistent. % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | Case 2: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (459) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.11 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.67/25.11 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.11 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | BETA: splitting (459) gives: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | Case 1: % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | (460) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.11 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | ALPHA: (460) implies: % 185.67/25.11 | | | | | | | | | (461) and(all_389_11, all_389_10) = all_189_30 % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | GROUND_INST: instantiating (id30) with all_189_21, all_389_11, % 185.67/25.11 | | | | | | | | | all_389_10, all_189_30, simplifying with (21), % 185.67/25.11 | | | | | | | | | (54), (55), (443), (461) gives: % 185.67/25.11 | | | | | | | | | (462) $false % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | CLOSE: (462) is inconsistent. % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | Case 2: % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | (463) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.11 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | ALPHA: (463) implies: % 185.67/25.11 | | | | | | | | | (464) and(all_389_14, all_389_13) = all_189_30 % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | GROUND_INST: instantiating (id30) with all_189_21, all_389_14, % 185.67/25.11 | | | | | | | | | all_389_13, all_189_30, simplifying with (21), % 185.67/25.11 | | | | | | | | | (52), (53), (443), (464) gives: % 185.67/25.11 | | | | | | | | | (465) $false % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | CLOSE: (465) is inconsistent. % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | End of split % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | End of split % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | End of split % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | Case 2: % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | | (466) (all_389_15 = all_189_30 & all_189_27 = 1 & and(all_389_17, % 185.67/25.11 | | | | | | all_389_16) = all_189_30 & eval_succeeds(all_389_16, % 185.67/25.11 | | | | | | all_189_29, 1) & eval_succeeds(all_389_17, all_189_29, % 185.67/25.11 | | | | | | 1)) | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | neg(all_389_19) = all_189_30 & eval_succeeds(all_389_19, % 185.67/25.11 | | | | | | all_189_29, 1)) | (all_389_20 = all_189_30 & all_189_27 % 185.67/25.11 | | | | | | = 1 & neg(all_389_21) = all_189_30 & % 185.67/25.11 | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 = % 185.67/25.11 | | | | | | all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.67/25.11 | | | | | | all_389_22 & p(all_389_24) = all_189_30 & $i(all_389_22) % 185.67/25.11 | | | | | | & member_succeeds(all_389_22, all_189_29)) | (all_389_25 % 185.67/25.11 | | | | | | = all_189_30 & all_189_27 = 1 & p(all_389_26) = % 185.67/25.11 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29)) % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | | BETA: splitting (466) gives: % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | | Case 1: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | (467) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.11 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.11 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.67/25.11 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.67/25.11 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | BETA: splitting (467) gives: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | Case 1: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (468) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.11 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.11 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | ALPHA: (468) implies: % 185.67/25.11 | | | | | | | | (469) all_189_27 = 1 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (445), (469) imply: % 185.67/25.11 | | | | | | | | (470) $false % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | CLOSE: (470) is inconsistent. % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | Case 2: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (471) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.67/25.11 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | ALPHA: (471) implies: % 185.67/25.11 | | | | | | | | (472) all_189_27 = 0 % 185.67/25.11 | | | | | | | | (473) eval_succeeds(all_389_19, all_189_29, 1) % 185.67/25.11 | | | | | | | | (474) neg(all_389_19) = all_189_30 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (445), (472) imply: % 185.67/25.11 | | | | | | | | (475) ~ (0 = 1) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | GROUND_INST: instantiating (id29) with all_189_21, all_389_19, % 185.67/25.11 | | | | | | | | all_189_30, simplifying with (21), (49), (443), % 185.67/25.11 | | | | | | | | (474) gives: % 185.67/25.11 | | | | | | | | (476) all_389_19 = all_189_21 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (473), (476) imply: % 185.67/25.11 | | | | | | | | (477) eval_succeeds(all_189_21, all_189_29, 1) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | GROUND_INST: instantiating (444) with 1, simplifying with (446), % 185.67/25.11 | | | | | | | | (477) gives: % 185.67/25.11 | | | | | | | | (478) 0 = 1 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (475), (478) imply: % 185.67/25.11 | | | | | | | | (479) $false % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | CLOSE: (479) is inconsistent. % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | End of split % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | Case 2: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | (480) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.11 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.67/25.11 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.67/25.11 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.67/25.11 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.67/25.11 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.67/25.11 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.67/25.11 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | BETA: splitting (480) gives: % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | | Case 1: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (481) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.11 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | ALPHA: (481) implies: % 185.67/25.11 | | | | | | | | (482) all_189_27 = 1 % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | REDUCE: (445), (482) imply: % 185.67/25.11 | | | | | | | | (483) $false % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | CLOSE: (483) is inconsistent. % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | Case 2: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | (484) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.11 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.11 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.67/25.11 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.11 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | BETA: splitting (484) gives: % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | | Case 1: % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | (485) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.11 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.11 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.11 | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | ALPHA: (485) implies: % 185.67/25.11 | | | | | | | | | (486) p(all_389_24) = all_189_30 % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | GROUND_INST: instantiating (id26) with all_389_24, all_189_21, % 185.67/25.11 | | | | | | | | | all_189_30, simplifying with (21), (47), (443), % 185.67/25.11 | | | | | | | | | (486) gives: % 185.67/25.11 | | | | | | | | | (487) $false % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | CLOSE: (487) is inconsistent. % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | Case 2: % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | (488) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.11 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.11 | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | ALPHA: (488) implies: % 185.67/25.11 | | | | | | | | | (489) all_189_27 = 1 % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | REDUCE: (445), (489) imply: % 185.67/25.11 | | | | | | | | | (490) $false % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | | CLOSE: (490) is inconsistent. % 185.67/25.11 | | | | | | | | | % 185.67/25.11 | | | | | | | | End of split % 185.67/25.11 | | | | | | | | % 185.67/25.11 | | | | | | | End of split % 185.67/25.11 | | | | | | | % 185.67/25.11 | | | | | | End of split % 185.67/25.11 | | | | | | % 185.67/25.11 | | | | | End of split % 185.67/25.11 | | | | | % 185.67/25.11 | | | | Case 2: % 185.67/25.11 | | | | | % 185.67/25.12 | | | | | (491) (all_189_23 = all_189_30 & all_189_28 = 0 & neg(all_189_30) = % 185.67/25.12 | | | | | all_189_22 & p(all_189_24) = all_189_30 & $i(all_189_22) & % 185.67/25.12 | | | | | member_succeeds(all_189_22, all_189_29)) | (all_189_25 = % 185.67/25.12 | | | | | all_189_30 & all_189_28 = 1 & p(all_189_26) = all_189_30 & % 185.67/25.12 | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.12 | | | | | % 185.67/25.12 | | | | | BETA: splitting (491) gives: % 185.67/25.12 | | | | | % 185.67/25.12 | | | | | Case 1: % 185.67/25.12 | | | | | | % 185.67/25.12 | | | | | | (492) all_189_23 = all_189_30 & all_189_28 = 0 & neg(all_189_30) % 185.67/25.12 | | | | | | = all_189_22 & p(all_189_24) = all_189_30 & $i(all_189_22) % 185.67/25.12 | | | | | | & member_succeeds(all_189_22, all_189_29) % 185.67/25.12 | | | | | | % 185.67/25.12 | | | | | | ALPHA: (492) implies: % 185.67/25.12 | | | | | | (493) all_189_28 = 0 % 185.67/25.12 | | | | | | (494) member_succeeds(all_189_22, all_189_29) % 185.67/25.12 | | | | | | (495) p(all_189_24) = all_189_30 % 185.67/25.12 | | | | | | (496) neg(all_189_30) = all_189_22 % 185.67/25.12 | | | | | | % 185.67/25.12 | | | | | | REDUCE: (40), (493) imply: % 185.67/25.12 | | | | | | (497) ~ (all_189_27 = 0) % 185.67/25.12 | | | | | | % 185.67/25.12 | | | | | | BETA: splitting (62) gives: % 185.67/25.12 | | | | | | % 185.67/25.12 | | | | | | Case 1: % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | | (498) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.67/25.12 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.67/25.12 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.67/25.12 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.67/25.12 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.67/25.12 | | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) % 185.67/25.12 | | | | | | | = all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) % 185.67/25.12 | | | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.12 | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 % 185.67/25.12 | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_14, % 185.67/25.12 | | | | | | | all_389_13) = all_189_30 & eval_succeeds(all_389_14, % 185.67/25.12 | | | | | | | all_189_29, 0)) % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | | BETA: splitting (498) gives: % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | (499) (all_389_0 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0)) | (all_389_3 % 185.67/25.12 | | | | | | | | = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.67/25.12 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.67/25.12 | | | | | | | | all_189_29, 1)) % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | BETA: splitting (499) gives: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (500) all_389_0 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | ALPHA: (500) implies: % 185.67/25.12 | | | | | | | | | (501) all_189_27 = 0 % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | REDUCE: (497), (501) imply: % 185.67/25.12 | | | | | | | | | (502) $false % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | CLOSE: (502) is inconsistent. % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (503) all_389_3 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_4, all_189_29, 1) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | ALPHA: (503) implies: % 185.67/25.12 | | | | | | | | | (504) or(all_389_5, all_389_4) = all_189_30 % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | GROUND_INST: instantiating (id28) with all_189_24, all_389_5, % 185.67/25.12 | | | | | | | | | all_389_4, all_189_30, simplifying with (20), % 185.67/25.12 | | | | | | | | | (58), (59), (495), (504) gives: % 185.67/25.12 | | | | | | | | | (505) $false % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | CLOSE: (505) is inconsistent. % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | End of split % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | (506) (all_389_6 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1)) | (all_389_9 % 185.67/25.12 | | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.67/25.12 | | | | | | | | all_389_10) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.67/25.12 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | BETA: splitting (506) gives: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (507) all_389_6 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | ALPHA: (507) implies: % 185.67/25.12 | | | | | | | | | (508) or(all_389_8, all_389_7) = all_189_30 % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | GROUND_INST: instantiating (id28) with all_189_24, all_389_8, % 185.67/25.12 | | | | | | | | | all_389_7, all_189_30, simplifying with (20), % 185.67/25.12 | | | | | | | | | (56), (57), (495), (508) gives: % 185.67/25.12 | | | | | | | | | (509) $false % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | CLOSE: (509) is inconsistent. % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (510) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.67/25.12 | | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | BETA: splitting (510) gives: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | (511) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.12 | | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | ALPHA: (511) implies: % 185.67/25.12 | | | | | | | | | | (512) all_189_27 = 0 % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | REDUCE: (497), (512) imply: % 185.67/25.12 | | | | | | | | | | (513) $false % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | CLOSE: (513) is inconsistent. % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | (514) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.12 | | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | ALPHA: (514) implies: % 185.67/25.12 | | | | | | | | | | (515) all_189_27 = 0 % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | REDUCE: (497), (515) imply: % 185.67/25.12 | | | | | | | | | | (516) $false % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | CLOSE: (516) is inconsistent. % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | End of split % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | End of split % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | End of split % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | Case 2: % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | | (517) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.12 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.12 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.67/25.12 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.67/25.12 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.67/25.12 | | | | | | | | (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.12 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.67/25.12 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.67/25.12 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.67/25.12 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.67/25.12 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.67/25.12 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.67/25.12 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | | BETA: splitting (517) gives: % 185.67/25.12 | | | | | | | % 185.67/25.12 | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | (518) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | % 185.67/25.12 | | | | | | | | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1)) % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | BETA: splitting (518) gives: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (519) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | ALPHA: (519) implies: % 185.67/25.12 | | | | | | | | | (520) and(all_389_17, all_389_16) = all_189_30 % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | GROUND_INST: instantiating (id27) with all_189_24, all_389_17, % 185.67/25.12 | | | | | | | | | all_389_16, all_189_30, simplifying with (20), % 185.67/25.12 | | | | | | | | | (50), (51), (495), (520) gives: % 185.67/25.12 | | | | | | | | | (521) $false % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | CLOSE: (521) is inconsistent. % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (522) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | neg(all_389_19) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | ALPHA: (522) implies: % 185.67/25.12 | | | | | | | | | (523) all_189_27 = 0 % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | REDUCE: (497), (523) imply: % 185.67/25.12 | | | | | | | | | (524) $false % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | CLOSE: (524) is inconsistent. % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | End of split % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | (525) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.12 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | % 185.67/25.12 | | | | | | | | (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.12 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.12 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.67/25.12 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.12 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | BETA: splitting (525) gives: % 185.67/25.12 | | | | | | | | % 185.67/25.12 | | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (526) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.12 | | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | ALPHA: (526) implies: % 185.67/25.12 | | | | | | | | | (527) neg(all_389_21) = all_189_30 % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | GROUND_INST: instantiating (id26) with all_189_24, all_389_21, % 185.67/25.12 | | | | | | | | | all_189_30, simplifying with (20), (48), (495), % 185.67/25.12 | | | | | | | | | (527) gives: % 185.67/25.12 | | | | | | | | | (528) $false % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | CLOSE: (528) is inconsistent. % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | (529) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.12 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.12 | | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.67/25.12 | | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.12 | | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | BETA: splitting (529) gives: % 185.67/25.12 | | | | | | | | | % 185.67/25.12 | | | | | | | | | Case 1: % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | (530) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.12 | | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.12 | | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.12 | | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | ALPHA: (530) implies: % 185.67/25.12 | | | | | | | | | | (531) all_189_27 = 0 % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | REDUCE: (497), (531) imply: % 185.67/25.12 | | | | | | | | | | (532) $false % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | CLOSE: (532) is inconsistent. % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | Case 2: % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | (533) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.12 | | | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.12 | | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | ALPHA: (533) implies: % 185.67/25.12 | | | | | | | | | | (534) member_succeeds(all_189_30, all_189_29) % 185.67/25.12 | | | | | | | | | | (535) p(all_389_26) = all_189_30 % 185.67/25.12 | | | | | | | | | | % 185.67/25.12 | | | | | | | | | | GROUND_INST: instantiating (2) with all_189_29, all_389_26, % 185.67/25.12 | | | | | | | | | | all_189_30, simplifying with (16), (42), (46), % 185.67/25.12 | | | | | | | | | | (534), (535) gives: % 185.67/25.13 | | | | | | | | | | (536) ? [v0: $i] : (neg(all_189_30) = v0 & $i(v0) & ~ % 185.67/25.13 | | | | | | | | | | member_succeeds(v0, all_189_29)) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | DELTA: instantiating (536) with fresh symbol all_536_0 % 185.67/25.13 | | | | | | | | | | gives: % 185.67/25.13 | | | | | | | | | | (537) neg(all_189_30) = all_536_0 & $i(all_536_0) & ~ % 185.67/25.13 | | | | | | | | | | member_succeeds(all_536_0, all_189_29) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | ALPHA: (537) implies: % 185.67/25.13 | | | | | | | | | | (538) ~ member_succeeds(all_536_0, all_189_29) % 185.67/25.13 | | | | | | | | | | (539) neg(all_189_30) = all_536_0 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | GROUND_INST: instantiating (4) with all_189_22, all_536_0, % 185.67/25.13 | | | | | | | | | | all_189_30, simplifying with (496), (539) gives: % 185.67/25.13 | | | | | | | | | | (540) all_536_0 = all_189_22 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | REDUCE: (538), (540) imply: % 185.67/25.13 | | | | | | | | | | (541) ~ member_succeeds(all_189_22, all_189_29) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | PRED_UNIFY: (494), (541) imply: % 185.67/25.13 | | | | | | | | | | (542) $false % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | CLOSE: (542) is inconsistent. % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | End of split % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | End of split % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | End of split % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | End of split % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | Case 2: % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | (543) all_189_25 = all_189_30 & all_189_28 = 1 & p(all_189_26) = % 185.67/25.13 | | | | | | all_189_30 & member_succeeds(all_189_30, all_189_29) % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | ALPHA: (543) implies: % 185.67/25.13 | | | | | | (544) all_189_28 = 1 % 185.67/25.13 | | | | | | (545) member_succeeds(all_189_30, all_189_29) % 185.67/25.13 | | | | | | (546) p(all_189_26) = all_189_30 % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | REDUCE: (40), (544) imply: % 185.67/25.13 | | | | | | (547) ~ (all_189_27 = 1) % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | GROUND_INST: instantiating (2) with all_189_29, all_189_26, % 185.67/25.13 | | | | | | all_189_30, simplifying with (16), (19), (42), (545), % 185.67/25.13 | | | | | | (546) gives: % 185.67/25.13 | | | | | | (548) ? [v0: $i] : (neg(all_189_30) = v0 & $i(v0) & ~ % 185.67/25.13 | | | | | | member_succeeds(v0, all_189_29)) % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | DELTA: instantiating (548) with fresh symbol all_522_0 gives: % 185.67/25.13 | | | | | | (549) neg(all_189_30) = all_522_0 & $i(all_522_0) & ~ % 185.67/25.13 | | | | | | member_succeeds(all_522_0, all_189_29) % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | ALPHA: (549) implies: % 185.67/25.13 | | | | | | (550) ~ member_succeeds(all_522_0, all_189_29) % 185.67/25.13 | | | | | | (551) neg(all_189_30) = all_522_0 % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | BETA: splitting (62) gives: % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | | Case 1: % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | | (552) (all_389_0 = all_189_30 & all_189_27 = 0 & or(all_389_2, % 185.67/25.13 | | | | | | | all_389_1) = all_189_30 & eval_succeeds(all_389_1, % 185.67/25.13 | | | | | | | all_189_29, 0) & eval_succeeds(all_389_2, all_189_29, % 185.67/25.13 | | | | | | | 0)) | (all_389_3 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.67/25.13 | | | | | | | eval_succeeds(all_389_4, all_189_29, 1)) | (all_389_6 = % 185.67/25.13 | | | | | | | all_189_30 & all_189_27 = 1 & or(all_389_8, all_389_7) % 185.67/25.13 | | | | | | | = all_189_30 & eval_succeeds(all_389_8, all_189_29, 1)) % 185.67/25.13 | | | | | | | | (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.13 | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | (all_389_12 % 185.67/25.13 | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_14, % 185.67/25.13 | | | | | | | all_389_13) = all_189_30 & eval_succeeds(all_389_14, % 185.67/25.13 | | | | | | | all_189_29, 0)) % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | | BETA: splitting (552) gives: % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | (553) (all_389_0 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0)) | (all_389_3 % 185.67/25.13 | | | | | | | | = all_189_30 & all_189_27 = 1 & or(all_389_5, % 185.67/25.13 | | | | | | | | all_389_4) = all_189_30 & eval_succeeds(all_389_4, % 185.67/25.13 | | | | | | | | all_189_29, 1)) % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | BETA: splitting (553) gives: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (554) all_389_0 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | or(all_389_2, all_389_1) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_1, all_189_29, 0) & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_2, all_189_29, 0) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | ALPHA: (554) implies: % 185.67/25.13 | | | | | | | | | (555) or(all_389_2, all_389_1) = all_189_30 % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | GROUND_INST: instantiating (id28) with all_189_26, all_389_2, % 185.67/25.13 | | | | | | | | | all_389_1, all_189_30, simplifying with (19), % 185.67/25.13 | | | | | | | | | (60), (61), (546), (555) gives: % 185.67/25.13 | | | | | | | | | (556) $false % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | CLOSE: (556) is inconsistent. % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (557) all_389_3 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | | or(all_389_5, all_389_4) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_4, all_189_29, 1) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | ALPHA: (557) implies: % 185.67/25.13 | | | | | | | | | (558) all_189_27 = 1 % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | REDUCE: (547), (558) imply: % 185.67/25.13 | | | | | | | | | (559) $false % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | CLOSE: (559) is inconsistent. % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | End of split % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | (560) (all_389_6 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1)) | (all_389_9 % 185.67/25.13 | | | | | | | | = all_189_30 & all_189_27 = 0 & and(all_389_11, % 185.67/25.13 | | | | | | | | all_389_10) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.67/25.13 | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | BETA: splitting (560) gives: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (561) all_389_6 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | | or(all_389_8, all_389_7) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_8, all_189_29, 1) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | ALPHA: (561) implies: % 185.67/25.13 | | | | | | | | | (562) all_189_27 = 1 % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | REDUCE: (547), (562) imply: % 185.67/25.13 | | | | | | | | | (563) $false % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | CLOSE: (563) is inconsistent. % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (564) (all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0)) | % 185.67/25.13 | | | | | | | | | (all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0)) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | BETA: splitting (564) gives: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | (565) all_389_9 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | | and(all_389_11, all_389_10) = all_189_30 & % 185.67/25.13 | | | | | | | | | | eval_succeeds(all_389_10, all_189_29, 0) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | ALPHA: (565) implies: % 185.67/25.13 | | | | | | | | | | (566) and(all_389_11, all_389_10) = all_189_30 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | GROUND_INST: instantiating (id27) with all_189_26, all_389_11, % 185.67/25.13 | | | | | | | | | | all_389_10, all_189_30, simplifying with (19), % 185.67/25.13 | | | | | | | | | | (54), (55), (546), (566) gives: % 185.67/25.13 | | | | | | | | | | (567) $false % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | CLOSE: (567) is inconsistent. % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | (568) all_389_12 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | | and(all_389_14, all_389_13) = all_189_30 & % 185.67/25.13 | | | | | | | | | | eval_succeeds(all_389_14, all_189_29, 0) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | ALPHA: (568) implies: % 185.67/25.13 | | | | | | | | | | (569) and(all_389_14, all_389_13) = all_189_30 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | GROUND_INST: instantiating (id27) with all_189_26, all_389_14, % 185.67/25.13 | | | | | | | | | | all_389_13, all_189_30, simplifying with (19), % 185.67/25.13 | | | | | | | | | | (52), (53), (546), (569) gives: % 185.67/25.13 | | | | | | | | | | (570) $false % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | CLOSE: (570) is inconsistent. % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | End of split % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | End of split % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | End of split % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | Case 2: % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | | (571) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.13 | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.13 | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | (all_389_18 % 185.67/25.13 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_389_19) = % 185.67/25.13 | | | | | | | all_189_30 & eval_succeeds(all_389_19, all_189_29, 1)) % 185.67/25.13 | | | | | | | | (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.13 | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | (all_389_23 % 185.67/25.13 | | | | | | | = all_189_30 & all_189_27 = 0 & neg(all_189_30) = % 185.67/25.13 | | | | | | | all_389_22 & p(all_389_24) = all_189_30 & % 185.67/25.13 | | | | | | | $i(all_389_22) & member_succeeds(all_389_22, % 185.67/25.13 | | | | | | | all_189_29)) | (all_389_25 = all_189_30 & all_189_27 % 185.67/25.13 | | | | | | | = 1 & p(all_389_26) = all_189_30 & % 185.67/25.13 | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | | BETA: splitting (571) gives: % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | (572) (all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1)) | % 185.67/25.13 | | | | | | | | (all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | neg(all_389_19) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1)) % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | BETA: splitting (572) gives: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (573) all_389_15 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | | and(all_389_17, all_389_16) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_16, all_189_29, 1) & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_17, all_189_29, 1) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | ALPHA: (573) implies: % 185.67/25.13 | | | | | | | | | (574) all_189_27 = 1 % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | REDUCE: (547), (574) imply: % 185.67/25.13 | | | | | | | | | (575) $false % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | CLOSE: (575) is inconsistent. % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (576) all_389_18 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | neg(all_389_19) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_19, all_189_29, 1) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | ALPHA: (576) implies: % 185.67/25.13 | | | | | | | | | (577) neg(all_389_19) = all_189_30 % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | GROUND_INST: instantiating (id26) with all_189_26, all_389_19, % 185.67/25.13 | | | | | | | | | all_189_30, simplifying with (19), (49), (546), % 185.67/25.13 | | | | | | | | | (577) gives: % 185.67/25.13 | | | | | | | | | (578) $false % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | CLOSE: (578) is inconsistent. % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | End of split % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | (579) (all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.13 | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0)) | % 185.67/25.13 | | | | | | | | (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.13 | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.13 | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.67/25.13 | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.13 | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | BETA: splitting (579) gives: % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (580) all_389_20 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | | neg(all_389_21) = all_189_30 & % 185.67/25.13 | | | | | | | | | eval_succeeds(all_389_21, all_189_29, 0) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | ALPHA: (580) implies: % 185.67/25.13 | | | | | | | | | (581) all_189_27 = 1 % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | REDUCE: (547), (581) imply: % 185.67/25.13 | | | | | | | | | (582) $false % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | CLOSE: (582) is inconsistent. % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | (583) (all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.13 | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.13 | | | | | | | | | member_succeeds(all_389_22, all_189_29)) | % 185.67/25.13 | | | | | | | | | (all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.13 | | | | | | | | | member_succeeds(all_189_30, all_189_29)) % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | BETA: splitting (583) gives: % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | | Case 1: % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | (584) all_389_23 = all_189_30 & all_189_27 = 0 & % 185.67/25.13 | | | | | | | | | | neg(all_189_30) = all_389_22 & p(all_389_24) = % 185.67/25.13 | | | | | | | | | | all_189_30 & $i(all_389_22) & % 185.67/25.13 | | | | | | | | | | member_succeeds(all_389_22, all_189_29) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | ALPHA: (584) implies: % 185.67/25.13 | | | | | | | | | | (585) member_succeeds(all_389_22, all_189_29) % 185.67/25.13 | | | | | | | | | | (586) neg(all_189_30) = all_389_22 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | GROUND_INST: instantiating (4) with all_522_0, all_389_22, % 185.67/25.13 | | | | | | | | | | all_189_30, simplifying with (551), (586) gives: % 185.67/25.13 | | | | | | | | | | (587) all_522_0 = all_389_22 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | REDUCE: (550), (587) imply: % 185.67/25.13 | | | | | | | | | | (588) ~ member_succeeds(all_389_22, all_189_29) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | PRED_UNIFY: (585), (588) imply: % 185.67/25.13 | | | | | | | | | | (589) $false % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | CLOSE: (589) is inconsistent. % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | Case 2: % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | (590) all_389_25 = all_189_30 & all_189_27 = 1 & % 185.67/25.13 | | | | | | | | | | p(all_389_26) = all_189_30 & % 185.67/25.13 | | | | | | | | | | member_succeeds(all_189_30, all_189_29) % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | ALPHA: (590) implies: % 185.67/25.13 | | | | | | | | | | (591) all_189_27 = 1 % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | REDUCE: (547), (591) imply: % 185.67/25.13 | | | | | | | | | | (592) $false % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | | CLOSE: (592) is inconsistent. % 185.67/25.13 | | | | | | | | | | % 185.67/25.13 | | | | | | | | | End of split % 185.67/25.13 | | | | | | | | | % 185.67/25.13 | | | | | | | | End of split % 185.67/25.13 | | | | | | | | % 185.67/25.13 | | | | | | | End of split % 185.67/25.13 | | | | | | | % 185.67/25.13 | | | | | | End of split % 185.67/25.13 | | | | | | % 185.67/25.13 | | | | | End of split % 185.67/25.13 | | | | | % 185.67/25.13 | | | | End of split % 185.67/25.13 | | | | % 185.67/25.13 | | | End of split % 185.67/25.13 | | | % 185.67/25.13 | | End of split % 185.67/25.13 | | % 185.67/25.13 | End of split % 185.67/25.13 | % 185.67/25.13 End of proof % 185.67/25.13 % SZS output end Proof for theBenchmark % 185.67/25.14 % 185.67/25.14 24512ms %------------------------------------------------------------------------------