%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL642+1.010 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:54:26 PM UTC 2026 % Result : Theorem 148.33s 20.19s % Output : Proof 150.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL642+1.010 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.37 % Computer : n020.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 5 00:48:12 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.39 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.67/0.72 ________ _____ % 0.67/0.72 ___ __ \_________(_)________________________________ % 0.67/0.72 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.67/0.72 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.67/0.72 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.67/0.72 % 0.67/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.67/0.72 (2023-06-19) % 0.67/0.72 % 0.67/0.72 (c) Philipp Rümmer, 2009-2023 % 0.67/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.67/0.72 Amanda Stjerna. % 0.67/0.72 Free software under BSD-3-Clause. % 0.67/0.72 % 0.67/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.67/0.72 % 0.67/0.72 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.74 Running up to 7 provers in parallel. % 0.67/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 8.72/2.02 Prover 2: Preprocessing ... % 8.72/2.02 Prover 3: Preprocessing ... % 8.72/2.02 Prover 6: Preprocessing ... % 8.72/2.05 Prover 4: Preprocessing ... % 10.01/2.08 Prover 1: Preprocessing ... % 10.01/2.12 Prover 5: Preprocessing ... % 10.01/2.12 Prover 0: Preprocessing ... % 16.56/2.95 Prover 5: Constructing countermodel ... % 20.41/3.43 Prover 2: Constructing countermodel ... % 23.58/3.87 Prover 1: Constructing countermodel ... % 24.38/4.04 Prover 6: Proving ... % 24.38/4.04 Prover 3: Constructing countermodel ... % 74.65/10.39 Prover 2: stopped % 75.44/10.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 77.01/10.68 Prover 7: Preprocessing ... % 79.35/10.92 Prover 7: Constructing countermodel ... % 103.92/14.08 Prover 5: stopped % 103.92/14.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 107.06/14.44 Prover 8: Preprocessing ... % 111.05/14.90 Prover 8: Warning: ignoring some quantifiers % 111.05/14.94 Prover 8: Constructing countermodel ... % 119.70/16.09 Prover 1: stopped % 119.70/16.10 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 120.96/16.25 Prover 9: Preprocessing ... % 133.04/17.78 Prover 9: Constructing countermodel ... % 135.42/18.00 Prover 6: stopped % 135.42/18.00 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 136.75/18.25 Prover 10: Preprocessing ... % 137.78/18.39 Prover 10: Constructing countermodel ... % 142.47/18.91 Prover 10: Found proof (size 49) % 142.47/18.91 Prover 10: proved (910ms) % 142.47/18.92 Prover 9: stopped % 142.47/18.92 Prover 3: stopped % 142.47/18.92 Prover 8: stopped % 142.47/18.99 Prover 7: stopped % 145.57/19.52 Prover 0: Proving ... % 145.57/19.55 Prover 0: stopped % 148.33/20.17 Prover 4: Constructing countermodel ... % 148.33/20.18 Prover 4: stopped % 148.33/20.19 % 148.33/20.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 148.33/20.19 % 148.33/20.19 % SZS output start Proof for theBenchmark % 148.33/20.19 Assumptions after simplification: % 148.33/20.19 --------------------------------- % 148.33/20.19 % 148.33/20.19 (main) % 149.07/20.35 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 149.07/20.35 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 149.07/20.35 ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? % 149.07/20.35 [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? % 149.07/20.35 [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? % 149.07/20.35 [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : % 149.07/20.35 ($i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) % 149.07/20.35 & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & % 149.07/20.35 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) % 149.07/20.35 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 149.07/20.35 r1(v0, v30) & r1(v0, v29) & r1(v0, v28) & ~ p1(v28) & ~ p2(v29) & ~ % 149.07/20.35 p3(v30) & ! [v31: $i] : ( ~ $i(v31) | ~ r1(v0, v31) | p1(v31) | ? [v32: % 149.07/20.35 $i] : ? [v33: $i] : ($i(v33) & $i(v32) & p1(v32) & r1(v32, v33) & % 149.07/20.35 r1(v31, v32) & ~ p1(v33))) & ! [v31: $i] : ( ~ $i(v31) | ~ r1(v0, % 149.07/20.35 v31) | p2(v31) | ? [v32: $i] : ? [v33: $i] : ($i(v33) & $i(v32) & % 149.07/20.35 p2(v32) & r1(v32, v33) & r1(v31, v32) & ~ p2(v33))) & ! [v31: $i] : ( % 149.07/20.35 ~ $i(v31) | ~ r1(v0, v31) | p2(v31) | ? [v32: $i] : ($i(v32) & r1(v31, % 149.07/20.35 v32) & ~ p2(v32) & ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ % 149.07/20.35 $i(v33) | ~ p2(v33) | ~ r1(v33, v34) | ~ r1(v32, v33) | p2(v34)))) % 149.07/20.35 & ! [v31: $i] : ( ~ $i(v31) | ~ r1(v0, v31) | p3(v31) | ? [v32: $i] : ? % 149.07/20.35 [v33: $i] : ($i(v33) & $i(v32) & p3(v32) & r1(v32, v33) & r1(v31, v32) & % 149.07/20.35 ~ p3(v33))) & (p4(v0) | p1(v0) | p2(v0) | p3(v0) | ! [v31: $i] : ! % 149.07/20.35 [v32: $i] : ( ~ $i(v32) | ~ $i(v31) | ~ r1(v31, v32) | ~ r1(v0, v31) | % 149.07/20.35 p4(v31) | p1(v31) | p2(v31) | p3(v31)) | (r1(v19, v20) & r1(v18, v19) & % 149.07/20.35 r1(v0, v18) & ~ p4(v19) & ~ p4(v18) & ~ p1(v19) & ~ p1(v18) & ~ % 149.07/20.35 p2(v19) & ~ p2(v18) & ~ p3(v19) & ~ p3(v18) & ! [v31: $i] : ! [v32: % 149.07/20.35 $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.35 $i(v32) | ~ $i(v31) | ~ p4(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) % 149.07/20.35 | ~ r1(v31, v32) | ~ r1(v18, v31) | p4(v33) | p4(v32) | p1(v33) | % 149.07/20.35 p1(v32) | p2(v33) | p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! % 149.07/20.35 [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.36 $i(v32) | ~ $i(v31) | ~ p1(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) % 149.07/20.36 | ~ r1(v31, v32) | ~ r1(v18, v31) | p4(v33) | p4(v32) | p1(v33) | % 149.07/20.36 p1(v32) | p2(v33) | p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! % 149.07/20.36 [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.36 $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) % 149.07/20.36 | ~ r1(v31, v32) | ~ r1(v18, v31) | p4(v33) | p4(v32) | p1(v33) | % 149.07/20.36 p1(v32) | p2(v33) | p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! % 149.07/20.36 [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.36 $i(v32) | ~ $i(v31) | ~ p3(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) % 149.07/20.36 | ~ r1(v31, v32) | ~ r1(v18, v31) | p4(v33) | p4(v32) | p1(v33) | % 149.07/20.36 p1(v32) | p2(v33) | p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! % 149.07/20.36 [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.36 $i(v32) | ~ $i(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, % 149.07/20.36 v32) | ~ r1(v18, v31) | p4(v33) | p4(v32) | p1(v33) | p1(v32) | % 149.07/20.36 p2(v33) | p2(v32) | p3(v33) | p3(v32) | ? [v35: $i] : ? [v36: $i] : % 149.07/20.36 ($i(v36) & $i(v35) & r1(v35, v36) & r1(v31, v35) & ~ p4(v35) & ~ % 149.07/20.36 p1(v35) & ~ p2(v35) & ~ p3(v35))))) & (p4(v0) | p1(v0) | p2(v0) | % 149.07/20.36 p3(v0) | ! [v31: $i] : ( ~ $i(v31) | ~ r1(v0, v31)) | (r1(v7, v8) & % 149.07/20.36 r1(v0, v7) & ~ p4(v7) & ~ p1(v7) & ~ p2(v7) & ~ p3(v7) & ! [v31: % 149.07/20.36 $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.36 $i(v31) | ~ p4(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v7, % 149.07/20.36 v31) | p4(v32) | p1(v32) | p2(v32) | p3(v32)) & ! [v31: $i] : ! % 149.07/20.36 [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ % 149.07/20.36 p1(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v7, v31) | p4(v32) % 149.07/20.36 | p1(v32) | p2(v32) | p3(v32)) & ! [v31: $i] : ! [v32: $i] : ! % 149.07/20.36 [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ % 149.07/20.36 r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v7, v31) | p4(v32) | p1(v32) | % 149.07/20.36 p2(v32) | p3(v32)) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ % 149.07/20.36 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p3(v31) | ~ r1(v32, v33) | ~ % 149.07/20.36 r1(v31, v32) | ~ r1(v7, v31) | p4(v32) | p1(v32) | p2(v32) | p3(v32)) % 149.07/20.36 & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) % 149.07/20.36 | ~ $i(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v7, v31) | % 149.07/20.36 p4(v32) | p1(v32) | p2(v32) | p3(v32) | ? [v34: $i] : ($i(v34) & % 149.07/20.36 r1(v31, v34))))) & (p1(v0) | p2(v0) | p3(v0) | ! [v31: $i] : ! % 149.07/20.36 [v32: $i] : ( ~ $i(v32) | ~ $i(v31) | ~ r1(v31, v32) | ~ r1(v0, v31) | % 149.07/20.36 p4(v31) | p1(v31) | p2(v31) | p3(v31)) | (r1(v16, v17) & r1(v15, v16) & % 149.07/20.36 r1(v0, v15) & ~ p4(v16) & ~ p1(v16) & ~ p1(v15) & ~ p2(v16) & ~ % 149.07/20.36 p2(v15) & ~ p3(v16) & ~ p3(v15) & ! [v31: $i] : ! [v32: $i] : ! % 149.07/20.36 [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.36 $i(v31) | ~ p1(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, % 149.07/20.36 v32) | ~ r1(v15, v31) | p4(v33) | p1(v33) | p1(v32) | p2(v33) | % 149.07/20.36 p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! [v32: $i] : ! [v33: % 149.07/20.36 $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.36 $i(v31) | ~ p2(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, % 149.07/20.36 v32) | ~ r1(v15, v31) | p4(v33) | p1(v33) | p1(v32) | p2(v33) | % 149.07/20.36 p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! [v32: $i] : ! [v33: % 149.07/20.36 $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.36 $i(v31) | ~ p3(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, % 149.07/20.36 v32) | ~ r1(v15, v31) | p4(v33) | p1(v33) | p1(v32) | p2(v33) | % 149.07/20.36 p2(v32) | p3(v33) | p3(v32)) & ! [v31: $i] : ! [v32: $i] : ! [v33: % 149.07/20.36 $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.36 $i(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ % 149.07/20.36 r1(v15, v31) | p4(v33) | p1(v33) | p1(v32) | p2(v33) | p2(v32) | % 149.07/20.36 p3(v33) | p3(v32) | ? [v35: $i] : ? [v36: $i] : ($i(v36) & $i(v35) & % 149.07/20.36 r1(v35, v36) & r1(v31, v35) & ~ p4(v35) & ~ p1(v35) & ~ p2(v35) & % 149.07/20.36 ~ p3(v35))))) & (p1(v0) | p2(v0) | p3(v0) | ! [v31: $i] : ( ~ % 149.07/20.36 $i(v31) | ~ r1(v0, v31)) | (r1(v5, v6) & r1(v0, v5) & ~ p1(v5) & ~ % 149.07/20.36 p2(v5) & ~ p3(v5) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ % 149.07/20.36 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p1(v31) | ~ r1(v32, v33) | ~ % 149.07/20.36 r1(v31, v32) | ~ r1(v5, v31) | p1(v32) | p2(v32) | p3(v32)) & ! % 149.07/20.36 [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.36 $i(v31) | ~ p2(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v5, % 149.07/20.36 v31) | p1(v32) | p2(v32) | p3(v32)) & ! [v31: $i] : ! [v32: $i] : % 149.07/20.36 ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p3(v31) | ~ % 149.07/20.36 r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v5, v31) | p1(v32) | p2(v32) | % 149.07/20.36 p3(v32)) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | % 149.07/20.36 ~ $i(v32) | ~ $i(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v5, % 149.07/20.36 v31) | p1(v32) | p2(v32) | p3(v32) | ? [v34: $i] : ($i(v34) & % 149.07/20.36 r1(v31, v34))))) & (p1(v0) | p2(v0) | ! [v31: $i] : ! [v32: $i] : % 149.07/20.36 ( ~ $i(v32) | ~ $i(v31) | ~ r1(v31, v32) | ~ r1(v0, v31) | p4(v31) | % 149.07/20.36 p1(v31) | p2(v31) | p3(v31)) | (r1(v13, v14) & r1(v12, v13) & r1(v0, % 149.07/20.36 v12) & ~ p4(v13) & ~ p1(v13) & ~ p1(v12) & ~ p2(v13) & ~ p2(v12) % 149.07/20.36 & ~ p3(v13) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] % 149.07/20.36 : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p1(v31) | ~ % 149.07/20.37 r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v12, v31) | % 149.07/20.37 p4(v33) | p1(v33) | p1(v32) | p2(v33) | p2(v32) | p3(v33)) & ! [v31: % 149.07/20.37 $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ % 149.07/20.37 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ r1(v33, v34) | ~ % 149.07/20.37 r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v12, v31) | p4(v33) | p1(v33) | % 149.07/20.37 p1(v32) | p2(v33) | p2(v32) | p3(v33)) & ! [v31: $i] : ! [v32: $i] : % 149.07/20.37 ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.37 $i(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ % 149.07/20.37 r1(v12, v31) | p4(v33) | p1(v33) | p1(v32) | p2(v33) | p2(v32) | % 149.07/20.37 p3(v33) | ? [v35: $i] : ? [v36: $i] : ($i(v36) & $i(v35) & r1(v35, % 149.07/20.37 v36) & r1(v31, v35) & ~ p4(v35) & ~ p1(v35) & ~ p2(v35) & ~ % 149.07/20.37 p3(v35))))) & (p1(v0) | p2(v0) | ! [v31: $i] : ( ~ $i(v31) | ~ % 149.07/20.37 r1(v0, v31)) | (r1(v3, v4) & r1(v0, v3) & ~ p1(v3) & ~ p2(v3) & ! % 149.07/20.37 [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.37 $i(v31) | ~ p1(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v3, % 149.07/20.37 v31) | p1(v32) | p2(v32)) & ! [v31: $i] : ! [v32: $i] : ! [v33: % 149.07/20.37 $i] : ( ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ r1(v32, % 149.07/20.37 v33) | ~ r1(v31, v32) | ~ r1(v3, v31) | p1(v32) | p2(v32)) & ! % 149.07/20.37 [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.37 $i(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v3, v31) | p1(v32) % 149.07/20.37 | p2(v32) | ? [v34: $i] : ($i(v34) & r1(v31, v34))))) & (p1(v0) | ! % 149.07/20.37 [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.37 $i(v31) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v0, v31) | p4(v32) | % 149.07/20.37 p4(v31) | p1(v32) | p1(v31) | p2(v32) | p2(v31) | p3(v32) | p3(v31)) | % 149.07/20.37 (r1(v23, v24) & r1(v22, v23) & r1(v21, v22) & r1(v0, v21) & ~ p4(v23) & % 149.07/20.37 ~ p4(v22) & ~ p1(v23) & ~ p1(v22) & ~ p1(v21) & ~ p2(v23) & ~ % 149.07/20.37 p2(v22) & ~ p3(v23) & ~ p3(v22) & ! [v31: $i] : ! [v32: $i] : ! % 149.07/20.37 [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ $i(v35) | ~ $i(v34) | ~ % 149.07/20.37 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p1(v31) | ~ r1(v34, v35) | ~ % 149.07/20.37 r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v21, v31) | % 149.07/20.37 p4(v34) | p4(v33) | p1(v34) | p1(v33) | p1(v32) | p2(v34) | p2(v33) | % 149.07/20.37 p3(v34) | p3(v33)) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! % 149.07/20.37 [v34: $i] : ! [v35: $i] : ( ~ $i(v35) | ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.37 $i(v32) | ~ $i(v31) | ~ r1(v34, v35) | ~ r1(v33, v34) | ~ r1(v32, % 149.07/20.37 v33) | ~ r1(v31, v32) | ~ r1(v21, v31) | p4(v34) | p4(v33) | % 149.07/20.37 p1(v34) | p1(v33) | p1(v32) | p2(v34) | p2(v33) | p3(v34) | p3(v33) | % 149.07/20.37 ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ($i(v38) & $i(v37) & % 149.07/20.37 $i(v36) & r1(v37, v38) & r1(v36, v37) & r1(v31, v36) & ~ p4(v37) & % 149.07/20.37 ~ p4(v36) & ~ p1(v37) & ~ p1(v36) & ~ p2(v37) & ~ p2(v36) & ~ % 149.07/20.37 p3(v37) & ~ p3(v36))))) & (p1(v0) | ! [v31: $i] : ! [v32: $i] : ( % 149.07/20.37 ~ $i(v32) | ~ $i(v31) | ~ r1(v31, v32) | ~ r1(v0, v31) | p4(v31) | % 149.07/20.37 p1(v31) | p2(v31) | p3(v31)) | (r1(v10, v11) & r1(v9, v10) & r1(v0, v9) % 149.07/20.37 & ~ p4(v10) & ~ p1(v10) & ~ p1(v9) & ~ p2(v10) & ~ p3(v10) & ! % 149.07/20.37 [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | % 149.07/20.37 ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p1(v31) | ~ r1(v33, v34) | % 149.07/20.37 ~ r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v9, v31) | p4(v33) | p1(v33) % 149.07/20.37 | p1(v32) | p2(v33) | p3(v33)) & ! [v31: $i] : ! [v32: $i] : ! % 149.07/20.37 [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.37 $i(v31) | ~ r1(v33, v34) | ~ r1(v32, v33) | ~ r1(v31, v32) | ~ % 149.07/20.37 r1(v9, v31) | p4(v33) | p1(v33) | p1(v32) | p2(v33) | p3(v33) | ? % 149.07/20.37 [v35: $i] : ? [v36: $i] : ($i(v36) & $i(v35) & r1(v35, v36) & r1(v31, % 149.07/20.37 v35) & ~ p4(v35) & ~ p1(v35) & ~ p2(v35) & ~ p3(v35))))) & % 149.07/20.37 (p1(v0) | ! [v31: $i] : ( ~ $i(v31) | ~ r1(v0, v31)) | (r1(v1, v2) & % 149.07/20.37 r1(v0, v1) & ~ p1(v1) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( % 149.07/20.37 ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p1(v31) | ~ r1(v32, v33) | % 149.07/20.37 ~ r1(v31, v32) | ~ r1(v1, v31) | p1(v32)) & ! [v31: $i] : ! [v32: % 149.07/20.37 $i] : ! [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ % 149.07/20.37 r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v1, v31) | p1(v32) | ? [v34: % 149.07/20.37 $i] : ($i(v34) & r1(v31, v34))))) & ((r1(v0, v25) & ! [v31: $i] : % 149.07/20.37 ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ! [v36: $i] % 149.07/20.37 : ! [v37: $i] : ( ~ $i(v37) | ~ $i(v36) | ~ $i(v35) | ~ $i(v34) | ~ % 149.07/20.37 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v32) | ~ r1(v36, v37) | ~ % 149.07/20.37 r1(v35, v36) | ~ r1(v32, v33) | ~ r1(v31, v35) | ~ r1(v31, v34) | % 149.07/20.37 ~ r1(v31, v32) | ~ r1(v25, v31) | p2(v37) | p2(v34) | p2(v33) | ? % 149.07/20.37 [v38: $i] : ? [v39: $i] : ($i(v39) & $i(v38) & ((p2(v38) & r1(v38, % 149.07/20.37 v39) & r1(v37, v38) & ~ p2(v39)) | (p2(v38) & r1(v38, v39) & % 149.07/20.37 r1(v34, v38) & ~ p2(v39)) | (r1(v35, v38) & ~ p2(v38) & ! % 149.07/20.37 [v40: $i] : ! [v41: $i] : ( ~ $i(v41) | ~ $i(v40) | ~ p2(v40) % 149.07/20.37 | ~ r1(v40, v41) | ~ r1(v38, v40) | p2(v41)))))) & ! [v31: % 149.07/20.37 $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ! % 149.07/20.37 [v36: $i] : ( ~ $i(v36) | ~ $i(v35) | ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.37 $i(v32) | ~ $i(v31) | ~ p2(v32) | ~ r1(v35, v36) | ~ r1(v34, v35) % 149.07/20.37 | ~ r1(v32, v33) | ~ r1(v31, v34) | ~ r1(v31, v32) | ~ r1(v25, % 149.07/20.37 v31) | p2(v36) | p2(v33) | ? [v37: $i] : ? [v38: $i] : ($i(v38) & % 149.07/20.38 $i(v37) & ((p2(v37) & r1(v37, v38) & r1(v36, v37) & ~ p2(v38)) | % 149.07/20.38 (r1(v37, v38) & r1(v31, v37) & ~ p2(v38) & ! [v39: $i] : ! % 149.07/20.38 [v40: $i] : ( ~ $i(v40) | ~ $i(v39) | ~ p2(v39) | ~ r1(v39, % 149.07/20.38 v40) | ~ r1(v38, v39) | p2(v40))) | (r1(v34, v37) & ~ % 149.07/20.38 p2(v37) & ! [v39: $i] : ! [v40: $i] : ( ~ $i(v40) | ~ $i(v39) % 149.07/20.38 | ~ p2(v39) | ~ r1(v39, v40) | ~ r1(v37, v39) | % 149.07/20.38 p2(v40)))))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! % 149.07/20.38 [v34: $i] : ! [v35: $i] : ( ~ $i(v35) | ~ $i(v34) | ~ $i(v33) | ~ % 149.07/20.38 $i(v32) | ~ $i(v31) | ~ p2(v32) | ~ r1(v32, v33) | ~ r1(v31, v35) % 149.07/20.38 | ~ r1(v31, v34) | ~ r1(v31, v32) | ~ r1(v25, v31) | p2(v35) | % 149.07/20.38 p2(v34) | p2(v33) | ? [v36: $i] : ? [v37: $i] : ($i(v37) & $i(v36) & % 149.07/20.38 ((p2(v36) & r1(v36, v37) & r1(v35, v36) & ~ p2(v37)) | (p2(v36) & % 149.07/20.38 r1(v36, v37) & r1(v34, v36) & ~ p2(v37))))) & ! [v31: $i] : ! % 149.07/20.38 [v32: $i] : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ $i(v35) | % 149.07/20.38 ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ % 149.07/20.38 r1(v34, v35) | ~ r1(v33, v34) | ~ r1(v31, v33) | ~ r1(v31, v32) | % 149.07/20.38 ~ r1(v25, v31) | p2(v35) | p2(v32) | ? [v36: $i] : ? [v37: $i] : % 149.07/20.38 ($i(v37) & $i(v36) & ((p2(v36) & r1(v36, v37) & r1(v35, v36) & ~ % 149.07/20.38 p2(v37)) | (p2(v36) & r1(v36, v37) & r1(v32, v36) & ~ p2(v37)) % 149.07/20.38 | (r1(v33, v36) & ~ p2(v36) & ! [v38: $i] : ! [v39: $i] : ( ~ % 149.07/20.38 $i(v39) | ~ $i(v38) | ~ p2(v38) | ~ r1(v38, v39) | ~ % 149.07/20.38 r1(v36, v38) | p2(v39)))))) & ! [v31: $i] : ! [v32: $i] : ! % 149.07/20.38 [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ $i(v33) | ~ $i(v32) | ~ % 149.07/20.38 $i(v31) | ~ p2(v32) | ~ r1(v32, v33) | ~ r1(v31, v34) | ~ r1(v31, % 149.07/20.38 v32) | ~ r1(v25, v31) | p2(v34) | p2(v33) | ? [v35: $i] : ? [v36: % 149.07/20.38 $i] : ($i(v36) & $i(v35) & ((p2(v35) & r1(v35, v36) & r1(v34, v35) & % 149.07/20.38 ~ p2(v36)) | (r1(v35, v36) & r1(v31, v35) & ~ p2(v36) & ! % 149.07/20.38 [v37: $i] : ! [v38: $i] : ( ~ $i(v38) | ~ $i(v37) | ~ p2(v37) % 149.07/20.38 | ~ r1(v37, v38) | ~ r1(v36, v37) | p2(v38)))))) & ! [v31: % 149.07/20.38 $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~ $i(v34) | ~ % 149.07/20.38 $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ r1(v33, v34) | ~ % 149.07/20.38 r1(v32, v33) | ~ r1(v31, v32) | ~ r1(v25, v31) | p2(v34) | ? [v35: % 149.07/20.38 $i] : ? [v36: $i] : ($i(v36) & $i(v35) & ((p2(v35) & r1(v35, v36) & % 149.07/20.38 r1(v34, v35) & ~ p2(v36)) | (r1(v35, v36) & r1(v31, v35) & ~ % 149.07/20.38 p2(v36) & ! [v37: $i] : ! [v38: $i] : ( ~ $i(v38) | ~ $i(v37) % 149.07/20.38 | ~ p2(v37) | ~ r1(v37, v38) | ~ r1(v36, v37) | p2(v38))) | % 149.07/20.38 (r1(v32, v35) & ~ p2(v35) & ! [v37: $i] : ! [v38: $i] : ( ~ % 149.07/20.38 $i(v38) | ~ $i(v37) | ~ p2(v37) | ~ r1(v37, v38) | ~ % 149.07/20.38 r1(v35, v37) | p2(v38)))))) & ! [v31: $i] : ! [v32: $i] : ! % 149.07/20.38 [v33: $i] : ( ~ $i(v33) | ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ % 149.07/20.38 r1(v31, v33) | ~ r1(v31, v32) | ~ r1(v25, v31) | p2(v33) | p2(v32) | % 149.07/20.38 ? [v34: $i] : ? [v35: $i] : ($i(v35) & $i(v34) & ((p2(v34) & r1(v34, % 149.07/20.38 v35) & r1(v33, v34) & ~ p2(v35)) | (p2(v34) & r1(v34, v35) & % 149.07/20.38 r1(v32, v34) & ~ p2(v35))))) & ! [v31: $i] : ! [v32: $i] : ( % 149.07/20.38 ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ r1(v31, v32) | ~ r1(v25, % 149.07/20.38 v31) | p2(v32) | ? [v33: $i] : ? [v34: $i] : ($i(v34) & $i(v33) & % 149.07/20.38 ((p2(v33) & r1(v33, v34) & r1(v32, v33) & ~ p2(v34)) | (r1(v33, % 149.07/20.38 v34) & r1(v31, v33) & ~ p2(v34) & ! [v35: $i] : ! [v36: $i] % 149.07/20.38 : ( ~ $i(v36) | ~ $i(v35) | ~ p2(v35) | ~ r1(v35, v36) | ~ % 149.07/20.38 r1(v34, v35) | p2(v36)))))) & ((r1(v26, v27) & r1(v25, v26) & % 149.07/20.38 ~ p2(v27) & ! [v31: $i] : ! [v32: $i] : ( ~ $i(v32) | ~ $i(v31) | % 149.07/20.38 ~ p2(v31) | ~ r1(v31, v32) | ~ r1(v27, v31) | p2(v32)) & ! % 149.07/20.38 [v31: $i] : ( ~ $i(v31) | ~ r1(v25, v31) | p2(v31) | ? [v32: $i] : % 149.07/20.38 ? [v33: $i] : ($i(v33) & $i(v32) & p2(v32) & r1(v32, v33) & % 149.07/20.38 r1(v31, v32) & ~ p2(v33)))) | ( ~ p2(v25) & ! [v31: $i] : ! % 149.07/20.38 [v32: $i] : ( ~ $i(v32) | ~ $i(v31) | ~ p2(v31) | ~ r1(v31, v32) % 149.07/20.38 | ~ r1(v25, v31) | p2(v32))))) | ((p2(v0) | (p2(v25) & r1(v25, % 149.07/20.38 v26) & r1(v0, v25) & ~ p2(v26))) & ( ! [v31: $i] : ! [v32: $i] : % 149.07/20.38 ( ~ $i(v32) | ~ $i(v31) | ~ r1(v31, v32) | ~ r1(v0, v31) | p2(v32) % 149.07/20.38 | ? [v33: $i] : ? [v34: $i] : ($i(v34) & $i(v33) & p2(v33) & % 149.07/20.38 r1(v33, v34) & r1(v32, v33) & ~ p2(v34))) | (r1(v0, v27) & ~ % 149.07/20.38 p2(v27) & ! [v31: $i] : ! [v32: $i] : ( ~ $i(v32) | ~ $i(v31) | % 149.07/20.38 ~ p2(v31) | ~ r1(v31, v32) | ~ r1(v27, v31) | p2(v32))))))) % 149.07/20.38 % 149.07/20.38 Those formulas are unsatisfiable: % 149.07/20.38 --------------------------------- % 149.07/20.38 % 149.07/20.38 Begin of proof % 149.07/20.38 | % 149.07/20.39 | DELTA: instantiating (main) with fresh symbols all_2_0, all_2_1, all_2_2, % 149.07/20.39 | all_2_3, all_2_4, all_2_5, all_2_6, all_2_7, all_2_8, all_2_9, % 149.07/20.39 | all_2_10, all_2_11, all_2_12, all_2_13, all_2_14, all_2_15, all_2_16, % 149.07/20.39 | all_2_17, all_2_18, all_2_19, all_2_20, all_2_21, all_2_22, all_2_23, % 149.07/20.39 | all_2_24, all_2_25, all_2_26, all_2_27, all_2_28, all_2_29, all_2_30 % 149.07/20.39 | gives: % 149.57/20.49 | (1) $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) & % 149.57/20.49 | $i(all_2_5) & $i(all_2_6) & $i(all_2_7) & $i(all_2_8) & $i(all_2_9) & % 149.57/20.49 | $i(all_2_10) & $i(all_2_11) & $i(all_2_12) & $i(all_2_13) & % 149.57/20.49 | $i(all_2_14) & $i(all_2_15) & $i(all_2_16) & $i(all_2_17) & % 149.57/20.49 | $i(all_2_18) & $i(all_2_19) & $i(all_2_20) & $i(all_2_21) & % 149.57/20.49 | $i(all_2_22) & $i(all_2_23) & $i(all_2_24) & $i(all_2_25) & % 149.57/20.49 | $i(all_2_26) & $i(all_2_27) & $i(all_2_28) & $i(all_2_29) & % 149.57/20.49 | $i(all_2_30) & r1(all_2_30, all_2_0) & r1(all_2_30, all_2_1) & % 149.57/20.49 | r1(all_2_30, all_2_2) & ~ p1(all_2_2) & ~ p2(all_2_1) & ~ % 149.57/20.49 | p3(all_2_0) & ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0) | p1(v0) | % 149.57/20.49 | ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & p1(v1) & r1(v1, v2) & % 149.57/20.49 | r1(v0, v1) & ~ p1(v2))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 149.57/20.49 | r1(all_2_30, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) & % 149.57/20.49 | $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ p2(v2))) & ! [v0: % 149.57/20.49 | $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0) | p2(v0) | ? [v1: $i] : % 149.57/20.49 | ($i(v1) & r1(v0, v1) & ~ p2(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ % 149.57/20.49 | $i(v3) | ~ $i(v2) | ~ p2(v2) | ~ r1(v2, v3) | ~ r1(v1, v2) | % 149.57/20.49 | p2(v3)))) & ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0) | % 149.57/20.49 | p3(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & p3(v1) & % 149.57/20.49 | r1(v1, v2) & r1(v0, v1) & ~ p3(v2))) & (p4(all_2_30) | % 149.57/20.49 | p1(all_2_30) | p2(all_2_30) | p3(all_2_30) | ! [v0: $i] : ! [v1: % 149.57/20.49 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_30, v0) % 149.57/20.49 | | p4(v0) | p1(v0) | p2(v0) | p3(v0)) | (r1(all_2_11, all_2_10) & % 149.57/20.49 | r1(all_2_12, all_2_11) & r1(all_2_30, all_2_12) & ~ p4(all_2_11) & % 149.57/20.49 | ~ p4(all_2_12) & ~ p1(all_2_11) & ~ p1(all_2_12) & ~ % 149.57/20.49 | p2(all_2_11) & ~ p2(all_2_12) & ~ p3(all_2_11) & ~ p3(all_2_12) % 149.57/20.49 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 149.57/20.49 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p4(v0) | ~ % 149.57/20.49 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_12, v0) % 149.57/20.49 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | % 149.57/20.49 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 149.57/20.49 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ % 149.57/20.49 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_12, v0) % 149.57/20.49 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | % 149.57/20.49 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 149.57/20.49 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ % 149.57/20.49 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_12, v0) % 149.57/20.49 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | % 149.57/20.49 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 149.57/20.49 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p3(v0) | ~ % 149.57/20.49 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_12, v0) % 149.57/20.49 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | % 149.57/20.49 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 149.57/20.49 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~ % 149.57/20.49 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_12, v0) | p4(v2) | % 149.57/20.49 | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | p3(v1) | ? % 149.57/20.49 | [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & r1(v4, v5) & r1(v0, % 149.57/20.49 | v4) & ~ p4(v4) & ~ p1(v4) & ~ p2(v4) & ~ p3(v4))))) & % 149.57/20.49 | (p4(all_2_30) | p1(all_2_30) | p2(all_2_30) | p3(all_2_30) | ! [v0: % 149.57/20.49 | $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0)) | (r1(all_2_23, all_2_22) & % 149.57/20.49 | r1(all_2_30, all_2_23) & ~ p4(all_2_23) & ~ p1(all_2_23) & ~ % 149.57/20.49 | p2(all_2_23) & ~ p3(all_2_23) & ! [v0: $i] : ! [v1: $i] : ! % 149.57/20.49 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p4(v0) | ~ % 149.57/20.49 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v1) | % 149.57/20.49 | p1(v1) | p2(v1) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 149.57/20.49 | $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v1, % 149.57/20.49 | v2) | ~ r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v1) | p1(v1) | % 149.57/20.49 | p2(v1) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 149.57/20.49 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v1, v2) | ~ % 149.57/20.49 | r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v1) | p1(v1) | p2(v1) | % 149.57/20.49 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | % 149.57/20.49 | ~ $i(v1) | ~ $i(v0) | ~ p3(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) % 149.57/20.49 | | ~ r1(all_2_23, v0) | p4(v1) | p1(v1) | p2(v1) | p3(v1)) & ! % 149.57/20.49 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 149.57/20.49 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_23, v0) | % 149.57/20.49 | p4(v1) | p1(v1) | p2(v1) | p3(v1) | ? [v3: $i] : ($i(v3) & % 149.57/20.49 | r1(v0, v3))))) & (p1(all_2_30) | p2(all_2_30) | p3(all_2_30) | % 149.57/20.49 | ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | % 149.57/20.49 | ~ r1(all_2_30, v0) | p4(v0) | p1(v0) | p2(v0) | p3(v0)) | % 149.57/20.49 | (r1(all_2_14, all_2_13) & r1(all_2_15, all_2_14) & r1(all_2_30, % 149.57/20.49 | all_2_15) & ~ p4(all_2_14) & ~ p1(all_2_14) & ~ p1(all_2_15) & % 149.57/20.49 | ~ p2(all_2_14) & ~ p2(all_2_15) & ~ p3(all_2_14) & ~ % 149.57/20.49 | p3(all_2_15) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 149.57/20.49 | $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) % 149.57/20.49 | | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_15, % 149.57/20.49 | v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | % 149.57/20.49 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 149.57/20.49 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ % 149.57/20.49 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_15, v0) % 149.57/20.49 | | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | p3(v1)) & % 149.57/20.50 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) % 149.57/20.50 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p3(v0) | ~ r1(v2, v3) | % 149.57/20.50 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_15, v0) | p4(v2) | % 149.57/20.50 | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | p3(v1)) & ! [v0: % 149.57/20.50 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 149.57/20.50 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | % 149.57/20.50 | ~ r1(v0, v1) | ~ r1(all_2_15, v0) | p4(v2) | p1(v2) | p1(v1) | % 149.57/20.50 | p2(v2) | p2(v1) | p3(v2) | p3(v1) | ? [v4: $i] : ? [v5: $i] : % 149.57/20.50 | ($i(v5) & $i(v4) & r1(v4, v5) & r1(v0, v4) & ~ p4(v4) & ~ % 149.57/20.50 | p1(v4) & ~ p2(v4) & ~ p3(v4))))) & (p1(all_2_30) | % 149.57/20.50 | p2(all_2_30) | p3(all_2_30) | ! [v0: $i] : ( ~ $i(v0) | ~ % 149.57/20.50 | r1(all_2_30, v0)) | (r1(all_2_25, all_2_24) & r1(all_2_30, % 149.57/20.50 | all_2_25) & ~ p1(all_2_25) & ~ p2(all_2_25) & ~ p3(all_2_25) & % 149.57/20.50 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | % 149.57/20.50 | ~ $i(v0) | ~ p1(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 149.57/20.50 | r1(all_2_25, v0) | p1(v1) | p2(v1) | p3(v1)) & ! [v0: $i] : ! % 149.57/20.50 | [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 149.57/20.50 | p2(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_25, v0) | % 149.57/20.50 | p1(v1) | p2(v1) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 149.57/20.50 | $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p3(v0) | ~ r1(v1, % 149.57/20.50 | v2) | ~ r1(v0, v1) | ~ r1(all_2_25, v0) | p1(v1) | p2(v1) | % 149.57/20.50 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | % 150.01/20.50 | ~ $i(v1) | ~ $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 150.01/20.50 | r1(all_2_25, v0) | p1(v1) | p2(v1) | p3(v1) | ? [v3: $i] : % 150.01/20.50 | ($i(v3) & r1(v0, v3))))) & (p1(all_2_30) | p2(all_2_30) | ! [v0: % 150.01/20.50 | $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ % 150.01/20.50 | r1(all_2_30, v0) | p4(v0) | p1(v0) | p2(v0) | p3(v0)) | % 150.01/20.50 | (r1(all_2_17, all_2_16) & r1(all_2_18, all_2_17) & r1(all_2_30, % 150.01/20.50 | all_2_18) & ~ p4(all_2_17) & ~ p1(all_2_17) & ~ p1(all_2_18) & % 150.01/20.50 | ~ p2(all_2_17) & ~ p2(all_2_18) & ~ p3(all_2_17) & ! [v0: $i] : % 150.01/20.50 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | % 150.01/20.50 | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) % 150.01/20.50 | | ~ r1(v0, v1) | ~ r1(all_2_18, v0) | p4(v2) | p1(v2) | p1(v1) % 150.01/20.50 | | p2(v2) | p2(v1) | p3(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 150.01/20.50 | $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 150.01/20.50 | $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, % 150.01/20.50 | v1) | ~ r1(all_2_18, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) | % 150.01/20.50 | p2(v1) | p3(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.50 | [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_18, v0) % 150.01/20.50 | | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | ? [v4: % 150.01/20.50 | $i] : ? [v5: $i] : ($i(v5) & $i(v4) & r1(v4, v5) & r1(v0, v4) % 150.01/20.50 | & ~ p4(v4) & ~ p1(v4) & ~ p2(v4) & ~ p3(v4))))) & % 150.01/20.50 | (p1(all_2_30) | p2(all_2_30) | ! [v0: $i] : ( ~ $i(v0) | ~ % 150.01/20.50 | r1(all_2_30, v0)) | (r1(all_2_27, all_2_26) & r1(all_2_30, % 150.01/20.50 | all_2_27) & ~ p1(all_2_27) & ~ p2(all_2_27) & ! [v0: $i] : ! % 150.01/20.50 | [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | p1(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_27, v0) | % 150.01/20.50 | p1(v1) | p2(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 150.01/20.50 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v1, v2) | ~ % 150.01/20.50 | r1(v0, v1) | ~ r1(all_2_27, v0) | p1(v1) | p2(v1)) & ! [v0: $i] % 150.01/20.50 | : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 150.01/20.50 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_27, v0) | p1(v1) | % 150.01/20.50 | p2(v1) | ? [v3: $i] : ($i(v3) & r1(v0, v3))))) & (p1(all_2_30) | % 150.01/20.50 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 150.01/20.50 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_30, v0) | % 150.01/20.50 | p4(v1) | p4(v0) | p1(v1) | p1(v0) | p2(v1) | p2(v0) | p3(v1) | % 150.01/20.50 | p3(v0)) | (r1(all_2_7, all_2_6) & r1(all_2_8, all_2_7) & % 150.01/20.50 | r1(all_2_9, all_2_8) & r1(all_2_30, all_2_9) & ~ p4(all_2_7) & ~ % 150.01/20.50 | p4(all_2_8) & ~ p1(all_2_7) & ~ p1(all_2_8) & ~ p1(all_2_9) & ~ % 150.01/20.50 | p2(all_2_7) & ~ p2(all_2_8) & ~ p3(all_2_7) & ~ p3(all_2_8) & ! % 150.01/20.50 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 150.01/20.50 | ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | p1(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ % 150.01/20.50 | r1(v0, v1) | ~ r1(all_2_9, v0) | p4(v3) | p4(v2) | p1(v3) | % 150.01/20.50 | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p3(v3) | p3(v2)) & ! [v0: % 150.01/20.50 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 150.01/20.50 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 150.01/20.50 | r1(all_2_9, v0) | p4(v3) | p4(v2) | p1(v3) | p1(v2) | p1(v1) | % 150.01/20.50 | p2(v3) | p2(v2) | p3(v3) | p3(v2) | ? [v5: $i] : ? [v6: $i] : % 150.01/20.50 | ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & r1(v6, v7) & r1(v5, v6) % 150.01/20.50 | & r1(v0, v5) & ~ p4(v6) & ~ p4(v5) & ~ p1(v6) & ~ p1(v5) & % 150.01/20.50 | ~ p2(v6) & ~ p2(v5) & ~ p3(v6) & ~ p3(v5))))) & % 150.01/20.50 | (p1(all_2_30) | ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | r1(v0, v1) | ~ r1(all_2_30, v0) | p4(v0) | p1(v0) | p2(v0) | % 150.01/20.50 | p3(v0)) | (r1(all_2_20, all_2_19) & r1(all_2_21, all_2_20) & % 150.01/20.50 | r1(all_2_30, all_2_21) & ~ p4(all_2_20) & ~ p1(all_2_20) & ~ % 150.01/20.50 | p1(all_2_21) & ~ p2(all_2_20) & ~ p3(all_2_20) & ! [v0: $i] : ! % 150.01/20.50 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ % 150.01/20.50 | $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | % 150.01/20.50 | ~ r1(v0, v1) | ~ r1(all_2_21, v0) | p4(v2) | p1(v2) | p1(v1) | % 150.01/20.50 | p2(v2) | p3(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.50 | [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_21, v0) % 150.01/20.50 | | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p3(v2) | ? [v4: $i] : ? % 150.01/20.50 | [v5: $i] : ($i(v5) & $i(v4) & r1(v4, v5) & r1(v0, v4) & ~ p4(v4) % 150.01/20.50 | & ~ p1(v4) & ~ p2(v4) & ~ p3(v4))))) & (p1(all_2_30) | ! % 150.01/20.50 | [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0)) | (r1(all_2_29, % 150.01/20.50 | all_2_28) & r1(all_2_30, all_2_29) & ~ p1(all_2_29) & ! [v0: % 150.01/20.50 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 150.01/20.50 | $i(v0) | ~ p1(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 150.01/20.50 | r1(all_2_29, v0) | p1(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 150.01/20.50 | $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v1, v2) | ~ % 150.01/20.50 | r1(v0, v1) | ~ r1(all_2_29, v0) | p1(v1) | ? [v3: $i] : ($i(v3) % 150.01/20.50 | & r1(v0, v3))))) & ((r1(all_2_30, all_2_5) & ! [v0: $i] : ! % 150.01/20.50 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 150.01/20.50 | ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 150.01/20.50 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v5, v6) | ~ % 150.01/20.50 | r1(v4, v5) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ % 150.01/20.50 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v6) | p2(v3) | p2(v2) | ? % 150.01/20.50 | [v7: $i] : ? [v8: $i] : ($i(v8) & $i(v7) & ((p2(v7) & r1(v7, v8) % 150.01/20.50 | & r1(v6, v7) & ~ p2(v8)) | (p2(v7) & r1(v7, v8) & r1(v3, % 150.01/20.50 | v7) & ~ p2(v8)) | (r1(v4, v7) & ~ p2(v7) & ! [v9: $i] % 150.01/20.50 | : ! [v10: $i] : ( ~ $i(v10) | ~ $i(v9) | ~ p2(v9) | ~ % 150.01/20.50 | r1(v9, v10) | ~ r1(v7, v9) | p2(v10)))))) & ! [v0: $i] % 150.01/20.50 | : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 150.01/20.50 | $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 150.01/20.50 | | ~ $i(v0) | ~ p2(v1) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ % 150.01/20.50 | r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.50 | p2(v5) | p2(v2) | ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & % 150.01/20.50 | ((p2(v6) & r1(v6, v7) & r1(v5, v6) & ~ p2(v7)) | (r1(v6, v7) & % 150.01/20.50 | r1(v0, v6) & ~ p2(v7) & ! [v8: $i] : ! [v9: $i] : ( ~ % 150.01/20.50 | $i(v9) | ~ $i(v8) | ~ p2(v8) | ~ r1(v8, v9) | ~ % 150.01/20.50 | r1(v7, v8) | p2(v9))) | (r1(v3, v6) & ~ p2(v6) & ! [v8: % 150.01/20.50 | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ p2(v8) | % 150.01/20.50 | ~ r1(v8, v9) | ~ r1(v6, v8) | p2(v9)))))) & ! [v0: $i] % 150.01/20.50 | : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 150.01/20.50 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.50 | p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ % 150.01/20.50 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ? % 150.01/20.50 | [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) % 150.01/20.50 | & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3, % 150.01/20.50 | v5) & ~ p2(v6))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 150.01/20.50 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ % 150.01/20.50 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v3, v4) | ~ % 150.01/20.50 | r1(v2, v3) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.50 | p2(v4) | p2(v1) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & % 150.01/20.50 | ((p2(v5) & r1(v5, v6) & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & % 150.01/20.50 | r1(v5, v6) & r1(v1, v5) & ~ p2(v6)) | (r1(v2, v5) & ~ % 150.01/20.50 | p2(v5) & ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) % 150.01/20.50 | | ~ p2(v7) | ~ r1(v7, v8) | ~ r1(v5, v7) | p2(v8)))))) % 150.01/20.50 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 150.01/20.51 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ % 150.01/20.51 | r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.51 | p2(v3) | p2(v2) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & % 150.01/20.51 | ((p2(v4) & r1(v4, v5) & r1(v3, v4) & ~ p2(v5)) | (r1(v4, v5) & % 150.01/20.51 | r1(v0, v4) & ~ p2(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ % 150.01/20.51 | $i(v7) | ~ $i(v6) | ~ p2(v6) | ~ r1(v6, v7) | ~ % 150.01/20.51 | r1(v5, v6) | p2(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! % 150.01/20.51 | [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 150.01/20.51 | $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, % 150.01/20.51 | v1) | ~ r1(all_2_5, v0) | p2(v3) | ? [v4: $i] : ? [v5: $i] : % 150.01/20.51 | ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4) & ~ % 150.01/20.51 | p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6: % 150.01/20.51 | $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | % 150.01/20.51 | ~ r1(v6, v7) | ~ r1(v5, v6) | p2(v7))) | (r1(v1, v4) & % 150.01/20.51 | ~ p2(v4) & ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ % 150.01/20.51 | $i(v6) | ~ p2(v6) | ~ r1(v6, v7) | ~ r1(v4, v6) | % 150.01/20.51 | p2(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( % 150.01/20.51 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ % 150.01/20.51 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v2) | p2(v1) | ? [v3: $i] : % 150.01/20.51 | ? [v4: $i] : ($i(v4) & $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, % 150.01/20.51 | v3) & ~ p2(v4)) | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ % 150.01/20.51 | p2(v4))))) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.01/20.51 | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v1) % 150.01/20.51 | | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & ((p2(v2) & % 150.01/20.51 | r1(v2, v3) & r1(v1, v2) & ~ p2(v3)) | (r1(v2, v3) & r1(v0, % 150.01/20.51 | v2) & ~ p2(v3) & ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) % 150.01/20.51 | | ~ $i(v4) | ~ p2(v4) | ~ r1(v4, v5) | ~ r1(v3, v4) | % 150.01/20.51 | p2(v5)))))) & ((r1(all_2_4, all_2_3) & r1(all_2_5, % 150.01/20.51 | all_2_4) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] : ( ~ % 150.01/20.51 | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.01/20.51 | r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 150.01/20.51 | r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] : % 150.01/20.51 | ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ % 150.01/20.51 | p2(v2)))) | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( % 150.01/20.51 | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.01/20.51 | r1(all_2_5, v0) | p2(v1))))) | ((p2(all_2_30) | (p2(all_2_5) % 150.01/20.51 | & r1(all_2_5, all_2_4) & r1(all_2_30, all_2_5) & ~ % 150.01/20.51 | p2(all_2_4))) & ( ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.01/20.51 | $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_30, v0) | p2(v1) | ? [v2: % 150.01/20.51 | $i] : ? [v3: $i] : ($i(v3) & $i(v2) & p2(v2) & r1(v2, v3) & % 150.01/20.51 | r1(v1, v2) & ~ p2(v3))) | (r1(all_2_30, all_2_3) & ~ % 150.01/20.51 | p2(all_2_3) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.01/20.51 | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_3, v0) | % 150.01/20.51 | p2(v1)))))) % 150.01/20.51 | % 150.01/20.51 | ALPHA: (1) implies: % 150.01/20.51 | (2) ~ p2(all_2_1) % 150.01/20.51 | (3) r1(all_2_30, all_2_1) % 150.01/20.51 | (4) $i(all_2_5) % 150.01/20.51 | (5) $i(all_2_4) % 150.01/20.51 | (6) $i(all_2_3) % 150.01/20.51 | (7) $i(all_2_1) % 150.01/20.54 | (8) (r1(all_2_30, all_2_5) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.54 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ % 150.01/20.54 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 150.01/20.54 | | ~ p2(v1) | ~ r1(v5, v6) | ~ r1(v4, v5) | ~ r1(v1, v2) | ~ % 150.01/20.54 | r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.54 | p2(v6) | p2(v3) | p2(v2) | ? [v7: $i] : ? [v8: $i] : ($i(v8) & % 150.01/20.54 | $i(v7) & ((p2(v7) & r1(v7, v8) & r1(v6, v7) & ~ p2(v8)) | % 150.01/20.54 | (p2(v7) & r1(v7, v8) & r1(v3, v7) & ~ p2(v8)) | (r1(v4, v7) & % 150.01/20.54 | ~ p2(v7) & ! [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~ % 150.01/20.54 | $i(v9) | ~ p2(v9) | ~ r1(v9, v10) | ~ r1(v7, v9) | % 150.01/20.55 | p2(v10)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.55 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ % 150.01/20.55 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v4, % 150.01/20.55 | v5) | ~ r1(v3, v4) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0, % 150.01/20.55 | v1) | ~ r1(all_2_5, v0) | p2(v5) | p2(v2) | ? [v6: $i] : ? % 150.01/20.55 | [v7: $i] : ($i(v7) & $i(v6) & ((p2(v6) & r1(v6, v7) & r1(v5, v6) & % 150.01/20.55 | ~ p2(v7)) | (r1(v6, v7) & r1(v0, v6) & ~ p2(v7) & ! [v8: % 150.01/20.55 | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ p2(v8) | ~ % 150.01/20.55 | r1(v8, v9) | ~ r1(v7, v8) | p2(v9))) | (r1(v3, v6) & ~ % 150.01/20.55 | p2(v6) & ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | % 150.01/20.55 | ~ p2(v8) | ~ r1(v8, v9) | ~ r1(v6, v8) | p2(v9)))))) & % 150.01/20.55 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 150.01/20.55 | ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.55 | p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, % 150.01/20.55 | v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ? [v5: $i] % 150.01/20.55 | : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) & r1(v4, % 150.01/20.55 | v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3, v5) & ~ % 150.01/20.55 | p2(v6))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.55 | [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 150.01/20.55 | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ % 150.01/20.55 | r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v1) | % 150.01/20.55 | ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, % 150.01/20.55 | v6) & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & % 150.01/20.55 | r1(v1, v5) & ~ p2(v6)) | (r1(v2, v5) & ~ p2(v5) & ! [v7: % 150.01/20.55 | $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~ p2(v7) | ~ % 150.01/20.55 | r1(v7, v8) | ~ r1(v5, v7) | p2(v8)))))) & ! [v0: $i] : ! % 150.01/20.55 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ % 150.01/20.55 | $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~ % 150.01/20.55 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) | p2(v2) | ? [v4: $i] : % 150.01/20.55 | ? [v5: $i] : ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4) % 150.01/20.55 | & ~ p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6: % 150.01/20.55 | $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | ~ % 150.01/20.55 | r1(v6, v7) | ~ r1(v5, v6) | p2(v7)))))) & ! [v0: $i] : ! % 150.01/20.55 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ % 150.01/20.55 | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ % 150.01/20.55 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) | ? [v4: $i] : ? [v5: % 150.01/20.55 | $i] : ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4) & ~ % 150.01/20.55 | p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6: $i] % 150.01/20.55 | : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | ~ % 150.01/20.55 | r1(v6, v7) | ~ r1(v5, v6) | p2(v7))) | (r1(v1, v4) & ~ % 150.01/20.55 | p2(v4) & ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | % 150.01/20.55 | ~ p2(v6) | ~ r1(v6, v7) | ~ r1(v4, v6) | p2(v7)))))) & % 150.01/20.55 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 150.01/20.55 | $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, % 150.01/20.55 | v0) | p2(v2) | p2(v1) | ? [v3: $i] : ? [v4: $i] : ($i(v4) & % 150.01/20.55 | $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, v3) & ~ p2(v4)) | % 150.01/20.55 | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ p2(v4))))) & ! [v0: $i] % 150.01/20.55 | : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | % 150.01/20.55 | ~ r1(all_2_5, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & % 150.01/20.55 | $i(v2) & ((p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3)) | % 150.01/20.55 | (r1(v2, v3) & r1(v0, v2) & ~ p2(v3) & ! [v4: $i] : ! [v5: % 150.01/20.55 | $i] : ( ~ $i(v5) | ~ $i(v4) | ~ p2(v4) | ~ r1(v4, v5) | % 150.01/20.55 | ~ r1(v3, v4) | p2(v5)))))) & ((r1(all_2_4, all_2_3) & % 150.01/20.55 | r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] % 150.01/20.55 | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.01/20.55 | r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 150.01/20.55 | r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) % 150.01/20.55 | & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ p2(v2)))) | % 150.01/20.55 | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.01/20.55 | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.55 | p2(v1))))) | ((p2(all_2_30) | (p2(all_2_5) & r1(all_2_5, % 150.01/20.55 | all_2_4) & r1(all_2_30, all_2_5) & ~ p2(all_2_4))) & ( ! [v0: % 150.01/20.55 | $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ % 150.01/20.55 | r1(all_2_30, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & % 150.01/20.55 | $i(v2) & p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3))) | % 150.01/20.55 | (r1(all_2_30, all_2_3) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] % 150.01/20.55 | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.01/20.55 | r1(all_2_3, v0) | p2(v1))))) % 150.01/20.55 | (9) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0) | p2(v0) | ? [v1: $i] : % 150.01/20.55 | ($i(v1) & r1(v0, v1) & ~ p2(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ % 150.01/20.55 | $i(v3) | ~ $i(v2) | ~ p2(v2) | ~ r1(v2, v3) | ~ r1(v1, v2) | % 150.01/20.55 | p2(v3)))) % 150.01/20.55 | (10) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_30, v0) | p2(v0) | ? [v1: $i] % 150.01/20.55 | : ? [v2: $i] : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) % 150.01/20.55 | & ~ p2(v2))) % 150.01/20.55 | % 150.01/20.56 | GROUND_INST: instantiating (9) with all_2_1, simplifying with (2), (3), (7) % 150.01/20.56 | gives: % 150.01/20.56 | (11) ? [v0: $i] : ($i(v0) & r1(all_2_1, v0) & ~ p2(v0) & ! [v1: $i] : ! % 150.01/20.56 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ p2(v1) | ~ r1(v1, v2) | ~ % 150.01/20.56 | r1(v0, v1) | p2(v2))) % 150.01/20.56 | % 150.01/20.56 | DELTA: instantiating (11) with fresh symbol all_16_0 gives: % 150.01/20.56 | (12) $i(all_16_0) & r1(all_2_1, all_16_0) & ~ p2(all_16_0) & ! [v0: $i] : % 150.01/20.56 | ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.01/20.56 | r1(all_16_0, v0) | p2(v1)) % 150.01/20.56 | % 150.01/20.56 | ALPHA: (12) implies: % 150.01/20.56 | (13) ~ p2(all_16_0) % 150.01/20.56 | (14) r1(all_2_1, all_16_0) % 150.01/20.56 | (15) $i(all_16_0) % 150.01/20.56 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ % 150.01/20.56 | r1(v0, v1) | ~ r1(all_16_0, v0) | p2(v1)) % 150.01/20.56 | % 150.01/20.56 | BETA: splitting (8) gives: % 150.01/20.56 | % 150.01/20.56 | Case 1: % 150.01/20.56 | | % 150.01/20.59 | | (17) r1(all_2_30, all_2_5) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.59 | | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ % 150.01/20.59 | | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 150.01/20.59 | | | ~ p2(v1) | ~ r1(v5, v6) | ~ r1(v4, v5) | ~ r1(v1, v2) | ~ % 150.01/20.59 | | r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.59 | | p2(v6) | p2(v3) | p2(v2) | ? [v7: $i] : ? [v8: $i] : ($i(v8) & % 150.01/20.59 | | $i(v7) & ((p2(v7) & r1(v7, v8) & r1(v6, v7) & ~ p2(v8)) | % 150.01/20.59 | | (p2(v7) & r1(v7, v8) & r1(v3, v7) & ~ p2(v8)) | (r1(v4, v7) & % 150.01/20.59 | | ~ p2(v7) & ! [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~ % 150.01/20.59 | | $i(v9) | ~ p2(v9) | ~ r1(v9, v10) | ~ r1(v7, v9) | % 150.01/20.59 | | p2(v10)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 150.01/20.59 | | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ % 150.01/20.59 | | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v4, % 150.01/20.59 | | v5) | ~ r1(v3, v4) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0, % 150.01/20.59 | | v1) | ~ r1(all_2_5, v0) | p2(v5) | p2(v2) | ? [v6: $i] : ? % 150.01/20.59 | | [v7: $i] : ($i(v7) & $i(v6) & ((p2(v6) & r1(v6, v7) & r1(v5, v6) & % 150.01/20.59 | | ~ p2(v7)) | (r1(v6, v7) & r1(v0, v6) & ~ p2(v7) & ! [v8: % 150.01/20.60 | | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ p2(v8) | % 150.01/20.60 | | ~ r1(v8, v9) | ~ r1(v7, v8) | p2(v9))) | (r1(v3, v6) & ~ % 150.01/20.60 | | p2(v6) & ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) % 150.01/20.60 | | | ~ p2(v8) | ~ r1(v8, v9) | ~ r1(v6, v8) | p2(v9)))))) % 150.01/20.60 | | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 150.01/20.60 | | $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 150.01/20.60 | | ~ p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ % 150.01/20.60 | | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ? % 150.01/20.60 | | [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) % 150.01/20.60 | | & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3, % 150.01/20.60 | | v5) & ~ p2(v6))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 150.01/20.60 | | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ % 150.01/20.60 | | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v3, v4) | ~ % 150.01/20.60 | | r1(v2, v3) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.01/20.60 | | p2(v4) | p2(v1) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & % 150.01/20.60 | | ((p2(v5) & r1(v5, v6) & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & % 150.01/20.60 | | r1(v5, v6) & r1(v1, v5) & ~ p2(v6)) | (r1(v2, v5) & ~ % 150.01/20.60 | | p2(v5) & ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) % 150.01/20.60 | | | ~ p2(v7) | ~ r1(v7, v8) | ~ r1(v5, v7) | p2(v8)))))) % 150.01/20.60 | | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) % 150.01/20.60 | | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v1, v2) | % 150.01/20.60 | | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) | % 150.01/20.60 | | p2(v2) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & ((p2(v4) & % 150.01/20.60 | | r1(v4, v5) & r1(v3, v4) & ~ p2(v5)) | (r1(v4, v5) & r1(v0, % 150.01/20.60 | | v4) & ~ p2(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | % 150.01/20.60 | | ~ $i(v6) | ~ p2(v6) | ~ r1(v6, v7) | ~ r1(v5, v6) | % 150.01/20.60 | | p2(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 150.01/20.60 | | [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.01/20.60 | | p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 150.01/20.60 | | r1(all_2_5, v0) | p2(v3) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & % 150.01/20.60 | | $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4) & ~ p2(v5)) | % 150.01/20.60 | | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6: $i] : ! [v7: % 150.01/20.60 | | $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | ~ r1(v6, v7) | % 150.01/20.60 | | ~ r1(v5, v6) | p2(v7))) | (r1(v1, v4) & ~ p2(v4) & ! % 150.01/20.60 | | [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) % 150.01/20.60 | | | ~ r1(v6, v7) | ~ r1(v4, v6) | p2(v7)))))) & ! [v0: % 150.01/20.60 | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 150.01/20.60 | | $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ % 150.50/20.60 | | r1(all_2_5, v0) | p2(v2) | p2(v1) | ? [v3: $i] : ? [v4: $i] : % 150.50/20.60 | | ($i(v4) & $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, v3) & ~ p2(v4)) % 150.50/20.60 | | | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ p2(v4))))) & ! [v0: % 150.50/20.60 | | $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, % 150.50/20.60 | | v1) | ~ r1(all_2_5, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : % 150.50/20.60 | | ($i(v3) & $i(v2) & ((p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3)) % 150.50/20.60 | | | (r1(v2, v3) & r1(v0, v2) & ~ p2(v3) & ! [v4: $i] : ! [v5: % 150.50/20.60 | | $i] : ( ~ $i(v5) | ~ $i(v4) | ~ p2(v4) | ~ r1(v4, v5) | % 150.50/20.60 | | ~ r1(v3, v4) | p2(v5)))))) & ((r1(all_2_4, all_2_3) & % 150.50/20.60 | | r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: % 150.50/20.60 | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.50/20.60 | | r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 150.50/20.60 | | r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) % 150.50/20.60 | | & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ p2(v2)))) | % 150.50/20.60 | | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.50/20.60 | | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.50/20.60 | | p2(v1)))) % 150.50/20.60 | | % 150.50/20.60 | | ALPHA: (17) implies: % 150.50/20.60 | | (18) r1(all_2_30, all_2_5) % 150.50/20.60 | | (19) (r1(all_2_4, all_2_3) & r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! % 150.50/20.60 | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ % 150.50/20.60 | | r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ % 150.50/20.60 | | $i(v0) | ~ r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] % 150.50/20.60 | | : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ % 150.50/20.60 | | p2(v2)))) | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ % 150.50/20.60 | | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, % 150.50/20.60 | | v0) | p2(v1))) % 150.50/20.60 | | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | % 150.50/20.60 | | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ % 150.50/20.60 | | r1(all_2_5, v0) | p2(v2) | p2(v1) | ? [v3: $i] : ? [v4: $i] : % 150.50/20.60 | | ($i(v4) & $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, v3) & ~ p2(v4)) % 150.50/20.60 | | | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ p2(v4))))) % 150.50/20.61 | | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 150.50/20.61 | | : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 150.50/20.61 | | p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, % 150.50/20.61 | | v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ? [v5: % 150.50/20.61 | | $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) & % 150.50/20.61 | | r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3, v5) % 150.50/20.61 | | & ~ p2(v6))))) % 150.50/20.61 | | % 150.50/20.61 | | GROUND_INST: instantiating (10) with all_2_5, simplifying with (4), (18) % 150.50/20.61 | | gives: % 150.50/20.61 | | (22) p2(all_2_5) | ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) % 150.50/20.61 | | & r1(v0, v1) & r1(all_2_5, v0) & ~ p2(v1)) % 150.50/20.61 | | % 150.50/20.61 | | BETA: splitting (19) gives: % 150.50/20.61 | | % 150.50/20.61 | | Case 1: % 150.50/20.61 | | | % 150.50/20.61 | | | (23) r1(all_2_4, all_2_3) & r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! % 150.50/20.61 | | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ % 150.50/20.61 | | | r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ % 150.50/20.61 | | | $i(v0) | ~ r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] % 150.50/20.61 | | | : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ % 150.50/20.61 | | | p2(v2))) % 150.50/20.61 | | | % 150.50/20.61 | | | ALPHA: (23) implies: % 150.50/20.61 | | | (24) ~ p2(all_2_3) % 150.50/20.61 | | | (25) r1(all_2_5, all_2_4) % 150.50/20.61 | | | (26) r1(all_2_4, all_2_3) % 150.50/20.61 | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_5, v0) | p2(v0) | ? [v1: % 150.50/20.61 | | | $i] : ? [v2: $i] : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & % 150.50/20.61 | | | r1(v0, v1) & ~ p2(v2))) % 150.50/20.61 | | | (28) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | % 150.50/20.62 | | | ~ r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1)) % 150.50/20.62 | | | % 150.50/20.62 | | | GROUND_INST: instantiating (27) with all_2_4, simplifying with (5), (25) % 150.50/20.62 | | | gives: % 150.50/20.62 | | | (29) p2(all_2_4) | ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & % 150.50/20.62 | | | p2(v0) & r1(v0, v1) & r1(all_2_4, v0) & ~ p2(v1)) % 150.50/20.62 | | | % 150.50/20.62 | | | BETA: splitting (29) gives: % 150.50/20.62 | | | % 150.50/20.62 | | | Case 1: % 150.50/20.62 | | | | % 150.50/20.62 | | | | (30) p2(all_2_4) % 150.50/20.62 | | | | % 150.50/20.62 | | | | GROUND_INST: instantiating (20) with all_2_4, all_2_3, all_2_3, % 150.50/20.62 | | | | simplifying with (5), (6), (24), (25), (26), (30) gives: % 150.50/20.62 | | | | (31) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, % 150.50/20.62 | | | | v1) & r1(all_2_3, v0) & ~ p2(v1)) % 150.50/20.62 | | | | % 150.50/20.62 | | | | DELTA: instantiating (31) with fresh symbols all_130_0, all_130_1 gives: % 150.50/20.62 | | | | (32) $i(all_130_0) & $i(all_130_1) & p2(all_130_1) & r1(all_130_1, % 150.50/20.62 | | | | all_130_0) & r1(all_2_3, all_130_1) & ~ p2(all_130_0) % 150.50/20.62 | | | | % 150.50/20.62 | | | | ALPHA: (32) implies: % 150.50/20.62 | | | | (33) ~ p2(all_130_0) % 150.50/20.62 | | | | (34) r1(all_2_3, all_130_1) % 150.50/20.62 | | | | (35) r1(all_130_1, all_130_0) % 150.50/20.62 | | | | (36) p2(all_130_1) % 150.50/20.62 | | | | (37) $i(all_130_1) % 150.50/20.62 | | | | (38) $i(all_130_0) % 150.50/20.62 | | | | % 150.50/20.62 | | | | GROUND_INST: instantiating (28) with all_130_1, all_130_0, simplifying % 150.50/20.62 | | | | with (33), (34), (35), (36), (37), (38) gives: % 150.50/20.62 | | | | (39) $false % 150.50/20.62 | | | | % 150.50/20.62 | | | | CLOSE: (39) is inconsistent. % 150.50/20.62 | | | | % 150.50/20.62 | | | Case 2: % 150.50/20.62 | | | | % 150.50/20.63 | | | | (40) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, % 150.50/20.63 | | | | v1) & r1(all_2_4, v0) & ~ p2(v1)) % 150.50/20.63 | | | | % 150.50/20.63 | | | | DELTA: instantiating (40) with fresh symbols all_125_0, all_125_1 gives: % 150.50/20.63 | | | | (41) $i(all_125_0) & $i(all_125_1) & p2(all_125_1) & r1(all_125_1, % 150.50/20.63 | | | | all_125_0) & r1(all_2_4, all_125_1) & ~ p2(all_125_0) % 150.50/20.63 | | | | % 150.50/20.63 | | | | ALPHA: (41) implies: % 150.50/20.63 | | | | (42) ~ p2(all_125_0) % 150.50/20.63 | | | | (43) r1(all_2_4, all_125_1) % 150.50/20.63 | | | | (44) r1(all_125_1, all_125_0) % 150.50/20.63 | | | | (45) p2(all_125_1) % 150.50/20.63 | | | | (46) $i(all_125_1) % 150.50/20.63 | | | | (47) $i(all_125_0) % 150.50/20.63 | | | | % 150.50/20.63 | | | | GROUND_INST: instantiating (21) with all_2_4, all_125_1, all_125_0, % 150.50/20.63 | | | | all_2_3, all_2_3, simplifying with (5), (6), (24), (25), % 150.50/20.63 | | | | (26), (42), (43), (44), (45), (46), (47) gives: % 150.50/20.63 | | | | (48) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, % 150.50/20.63 | | | | v1) & r1(all_2_3, v0) & ~ p2(v1)) % 150.50/20.63 | | | | % 150.50/20.63 | | | | DELTA: instantiating (48) with fresh symbols all_132_0, all_132_1 gives: % 150.50/20.63 | | | | (49) $i(all_132_0) & $i(all_132_1) & p2(all_132_1) & r1(all_132_1, % 150.50/20.63 | | | | all_132_0) & r1(all_2_3, all_132_1) & ~ p2(all_132_0) % 150.50/20.63 | | | | % 150.50/20.63 | | | | ALPHA: (49) implies: % 150.50/20.63 | | | | (50) ~ p2(all_132_0) % 150.50/20.63 | | | | (51) r1(all_2_3, all_132_1) % 150.50/20.63 | | | | (52) r1(all_132_1, all_132_0) % 150.50/20.63 | | | | (53) p2(all_132_1) % 150.50/20.63 | | | | (54) $i(all_132_1) % 150.50/20.63 | | | | (55) $i(all_132_0) % 150.50/20.63 | | | | % 150.50/20.63 | | | | GROUND_INST: instantiating (28) with all_132_1, all_132_0, simplifying % 150.50/20.63 | | | | with (50), (51), (52), (53), (54), (55) gives: % 150.50/20.63 | | | | (56) $false % 150.50/20.63 | | | | % 150.50/20.63 | | | | CLOSE: (56) is inconsistent. % 150.50/20.63 | | | | % 150.50/20.63 | | | End of split % 150.50/20.63 | | | % 150.50/20.63 | | Case 2: % 150.50/20.63 | | | % 150.50/20.63 | | | (57) ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.50/20.64 | | | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | % 150.50/20.64 | | | p2(v1)) % 150.50/20.64 | | | % 150.50/20.64 | | | ALPHA: (57) implies: % 150.50/20.64 | | | (58) ~ p2(all_2_5) % 150.50/20.64 | | | (59) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | % 150.50/20.64 | | | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v1)) % 150.50/20.64 | | | % 150.50/20.64 | | | BETA: splitting (22) gives: % 150.50/20.64 | | | % 150.50/20.64 | | | Case 1: % 150.50/20.64 | | | | % 150.50/20.64 | | | | (60) p2(all_2_5) % 150.50/20.64 | | | | % 150.50/20.64 | | | | PRED_UNIFY: (58), (60) imply: % 150.50/20.64 | | | | (61) $false % 150.50/20.64 | | | | % 150.50/20.64 | | | | CLOSE: (61) is inconsistent. % 150.50/20.64 | | | | % 150.50/20.64 | | | Case 2: % 150.50/20.64 | | | | % 150.50/20.64 | | | | (62) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, % 150.50/20.64 | | | | v1) & r1(all_2_5, v0) & ~ p2(v1)) % 150.50/20.64 | | | | % 150.50/20.64 | | | | DELTA: instantiating (62) with fresh symbols all_101_0, all_101_1 gives: % 150.50/20.64 | | | | (63) $i(all_101_0) & $i(all_101_1) & p2(all_101_1) & r1(all_101_1, % 150.50/20.64 | | | | all_101_0) & r1(all_2_5, all_101_1) & ~ p2(all_101_0) % 150.50/20.64 | | | | % 150.50/20.64 | | | | ALPHA: (63) implies: % 150.50/20.64 | | | | (64) ~ p2(all_101_0) % 150.50/20.64 | | | | (65) r1(all_2_5, all_101_1) % 150.50/20.64 | | | | (66) r1(all_101_1, all_101_0) % 150.50/20.64 | | | | (67) p2(all_101_1) % 150.50/20.64 | | | | (68) $i(all_101_1) % 150.50/20.64 | | | | (69) $i(all_101_0) % 150.50/20.64 | | | | % 150.50/20.64 | | | | GROUND_INST: instantiating (59) with all_101_1, all_101_0, simplifying % 150.50/20.64 | | | | with (64), (65), (66), (67), (68), (69) gives: % 150.50/20.64 | | | | (70) $false % 150.50/20.64 | | | | % 150.50/20.64 | | | | CLOSE: (70) is inconsistent. % 150.50/20.64 | | | | % 150.50/20.64 | | | End of split % 150.50/20.64 | | | % 150.50/20.64 | | End of split % 150.50/20.64 | | % 150.50/20.64 | Case 2: % 150.50/20.64 | | % 150.50/20.64 | | (71) (p2(all_2_30) | (p2(all_2_5) & r1(all_2_5, all_2_4) & r1(all_2_30, % 150.50/20.64 | | all_2_5) & ~ p2(all_2_4))) & ( ! [v0: $i] : ! [v1: $i] : ( ~ % 150.50/20.64 | | $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_30, v0) | % 150.50/20.64 | | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & p2(v2) & % 150.50/20.64 | | r1(v2, v3) & r1(v1, v2) & ~ p2(v3))) | (r1(all_2_30, all_2_3) % 150.50/20.64 | | & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 150.50/20.64 | | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_3, v0) | % 150.50/20.64 | | p2(v1)))) % 150.50/20.64 | | % 150.50/20.64 | | ALPHA: (71) implies: % 150.50/20.65 | | (72) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | % 150.50/20.65 | | ~ r1(all_2_30, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) % 150.50/20.65 | | & $i(v2) & p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3))) | % 150.50/20.65 | | (r1(all_2_30, all_2_3) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] % 150.50/20.65 | | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.50/20.65 | | r1(all_2_3, v0) | p2(v1))) % 150.50/20.65 | | % 150.50/20.65 | | BETA: splitting (72) gives: % 150.50/20.65 | | % 150.50/20.65 | | Case 1: % 150.50/20.65 | | | % 150.50/20.65 | | | (73) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) % 150.50/20.65 | | | | ~ r1(all_2_30, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : % 150.50/20.65 | | | ($i(v3) & $i(v2) & p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ % 150.50/20.65 | | | p2(v3))) % 150.50/20.65 | | | % 150.50/20.65 | | | GROUND_INST: instantiating (73) with all_2_1, all_16_0, simplifying with % 150.50/20.65 | | | (3), (7), (13), (14), (15) gives: % 150.50/20.65 | | | (74) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, v1) % 150.50/20.65 | | | & r1(all_16_0, v0) & ~ p2(v1)) % 150.50/20.65 | | | % 150.50/20.65 | | | DELTA: instantiating (74) with fresh symbols all_100_0, all_100_1 gives: % 150.50/20.65 | | | (75) $i(all_100_0) & $i(all_100_1) & p2(all_100_1) & r1(all_100_1, % 150.50/20.65 | | | all_100_0) & r1(all_16_0, all_100_1) & ~ p2(all_100_0) % 150.50/20.65 | | | % 150.50/20.65 | | | ALPHA: (75) implies: % 150.50/20.65 | | | (76) ~ p2(all_100_0) % 150.50/20.65 | | | (77) r1(all_16_0, all_100_1) % 150.50/20.65 | | | (78) r1(all_100_1, all_100_0) % 150.50/20.65 | | | (79) p2(all_100_1) % 150.50/20.65 | | | (80) $i(all_100_1) % 150.50/20.65 | | | (81) $i(all_100_0) % 150.50/20.65 | | | % 150.50/20.65 | | | GROUND_INST: instantiating (16) with all_100_1, all_100_0, simplifying % 150.50/20.65 | | | with (76), (77), (78), (79), (80), (81) gives: % 150.50/20.65 | | | (82) $false % 150.50/20.65 | | | % 150.50/20.65 | | | CLOSE: (82) is inconsistent. % 150.50/20.65 | | | % 150.50/20.65 | | Case 2: % 150.50/20.65 | | | % 150.50/20.66 | | | (83) r1(all_2_30, all_2_3) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] % 150.50/20.66 | | | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ % 150.50/20.66 | | | r1(all_2_3, v0) | p2(v1)) % 150.50/20.66 | | | % 150.50/20.66 | | | ALPHA: (83) implies: % 150.50/20.66 | | | (84) ~ p2(all_2_3) % 150.50/20.66 | | | (85) r1(all_2_30, all_2_3) % 150.50/20.66 | | | (86) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | % 150.50/20.66 | | | ~ r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1)) % 150.50/20.66 | | | % 150.50/20.66 | | | GROUND_INST: instantiating (10) with all_2_3, simplifying with (6), (84), % 150.50/20.66 | | | (85) gives: % 150.50/20.66 | | | (87) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, v1) % 150.50/20.66 | | | & r1(all_2_3, v0) & ~ p2(v1)) % 150.50/20.66 | | | % 150.50/20.66 | | | DELTA: instantiating (87) with fresh symbols all_104_0, all_104_1 gives: % 150.50/20.66 | | | (88) $i(all_104_0) & $i(all_104_1) & p2(all_104_1) & r1(all_104_1, % 150.50/20.66 | | | all_104_0) & r1(all_2_3, all_104_1) & ~ p2(all_104_0) % 150.50/20.66 | | | % 150.50/20.66 | | | ALPHA: (88) implies: % 150.50/20.66 | | | (89) ~ p2(all_104_0) % 150.50/20.66 | | | (90) r1(all_2_3, all_104_1) % 150.50/20.66 | | | (91) r1(all_104_1, all_104_0) % 150.50/20.66 | | | (92) p2(all_104_1) % 150.50/20.66 | | | (93) $i(all_104_1) % 150.50/20.66 | | | (94) $i(all_104_0) % 150.50/20.66 | | | % 150.50/20.66 | | | GROUND_INST: instantiating (86) with all_104_1, all_104_0, simplifying % 150.50/20.66 | | | with (89), (90), (91), (92), (93), (94) gives: % 150.50/20.66 | | | (95) $false % 150.50/20.66 | | | % 150.50/20.66 | | | CLOSE: (95) is inconsistent. % 150.50/20.66 | | | % 150.50/20.66 | | End of split % 150.50/20.66 | | % 150.50/20.66 | End of split % 150.50/20.66 | % 150.50/20.66 End of proof % 150.50/20.66 % SZS output end Proof for theBenchmark % 150.50/20.66 % 150.50/20.66 19945ms %------------------------------------------------------------------------------