%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.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 12:54:33 PM UTC 2026 % Result : Theorem 50.14s 7.38s % Output : Proof 57.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.36 % Computer : n010.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 18:11:08 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.38 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. % 0.70/0.71 ________ _____ % 0.70/0.71 ___ __ \_________(_)________________________________ % 0.70/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.70/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.70/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.70/0.71 % 0.70/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.70/0.71 (2023-06-19) % 0.70/0.71 % 0.70/0.71 (c) Philipp Rümmer, 2009-2023 % 0.70/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.70/0.71 Amanda Stjerna. % 0.70/0.71 Free software under BSD-3-Clause. % 0.70/0.71 % 0.70/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.70/0.71 % 0.70/0.71 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.73 Running up to 7 provers in parallel. % 0.70/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.70/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.70/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.70/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.70/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.70/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.70/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.68/1.54 Prover 1: Preprocessing ... % 4.68/1.57 Prover 4: Preprocessing ... % 4.68/1.59 Prover 6: Preprocessing ... % 4.68/1.59 Prover 5: Preprocessing ... % 4.68/1.59 Prover 0: Preprocessing ... % 4.68/1.59 Prover 3: Preprocessing ... % 4.68/1.59 Prover 2: Preprocessing ... % 7.82/1.98 Prover 2: Proving ... % 7.82/1.99 Prover 5: Proving ... % 11.71/2.44 Prover 6: Proving ... % 12.50/2.54 Prover 3: Constructing countermodel ... % 13.28/2.63 Prover 1: Constructing countermodel ... % 22.71/3.84 Prover 4: Constructing countermodel ... % 22.71/3.86 Prover 0: Proving ... % 50.14/7.38 Prover 2: proved (6629ms) % 50.14/7.38 % 50.14/7.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 50.14/7.38 % 50.14/7.38 Prover 3: stopped % 50.14/7.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 50.14/7.38 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 50.14/7.38 Prover 6: stopped % 50.14/7.39 Prover 0: stopped % 50.14/7.39 Prover 5: stopped % 50.93/7.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 50.93/7.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 50.93/7.40 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 51.73/7.50 Prover 11: Preprocessing ... % 51.73/7.51 Prover 8: Preprocessing ... % 51.73/7.53 Prover 7: Preprocessing ... % 51.73/7.54 Prover 13: Preprocessing ... % 51.73/7.56 Prover 10: Preprocessing ... % 51.73/7.58 Prover 7: Warning: ignoring some quantifiers % 51.73/7.58 Prover 13: Warning: ignoring some quantifiers % 51.73/7.59 Prover 7: Constructing countermodel ... % 51.73/7.60 Prover 13: Constructing countermodel ... % 52.52/7.60 Prover 10: Warning: ignoring some quantifiers % 52.52/7.61 Prover 10: Constructing countermodel ... % 52.52/7.66 Prover 8: Warning: ignoring some quantifiers % 52.52/7.66 Prover 8: Constructing countermodel ... % 56.73/8.15 Prover 10: Found proof (size 48) % 56.73/8.15 Prover 10: proved (755ms) % 56.73/8.15 Prover 7: stopped % 56.73/8.15 Prover 13: stopped % 56.73/8.15 Prover 4: stopped % 56.73/8.15 Prover 1: stopped % 56.73/8.15 Prover 8: stopped % 57.48/8.30 Prover 11: Constructing countermodel ... % 57.48/8.31 Prover 11: stopped % 57.48/8.31 % 57.48/8.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 57.48/8.31 % 57.48/8.31 % SZS output start Proof for theBenchmark % 57.48/8.32 Assumptions after simplification: % 57.48/8.32 --------------------------------- % 57.48/8.32 % 57.48/8.32 (main) % 57.48/8.37 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 57.48/8.37 $i] : ($i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & r1(v3, v5) & % 57.48/8.37 r1(v3, v4) & r1(v2, v3) & r1(v1, v2) & r1(v0, v1) & ~ p1(v5) & ! [v6: $i] % 57.48/8.37 : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( % 57.48/8.37 ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | % 57.48/8.37 ~ r1(v10, v11) | ~ r1(v9, v10) | ~ r1(v8, v9) | ~ r1(v7, v8) | ~ % 57.48/8.37 r1(v6, v7) | ~ r1(v0, v6) | p1(v11) | ? [v12: $i] : ($i(v12) & r1(v9, % 57.48/8.37 v12) & ~ p1(v12))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! % 57.48/8.37 [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | % 57.48/8.37 ~ $i(v6) | ~ p1(v8) | ~ r1(v8, v10) | ~ r1(v8, v9) | ~ r1(v7, v8) | ~ % 57.48/8.37 r1(v6, v7) | ~ r1(v0, v6) | p1(v10) | ? [v11: $i] : ? [v12: $i] : % 57.48/8.37 ($i(v12) & $i(v11) & ((p1(v11) & r1(v11, v12) & r1(v9, v11) & ~ p1(v12)) % 57.48/8.37 | (p1(v11) & r1(v11, v12) & r1(v8, v11) & ~ p1(v12) & ! [v13: $i] : % 57.48/8.37 ! [v14: $i] : ! [v15: $i] : ( ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | % 57.48/8.37 ~ p1(v14) | ~ r1(v14, v15) | ~ r1(v13, v14) | ~ r1(v11, v13) | % 57.48/8.37 p1(v15) | p1(v13)) & ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : % 57.48/8.37 ( ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ p1(v14) | ~ r1(v14, v15) % 57.48/8.37 | ~ r1(v13, v14) | ~ r1(v11, v13) | p1(v15) | ? [v16: $i] : % 57.48/8.37 ($i(v16) & r1(v13, v16) & ~ p1(v16))))))) & ! [v6: $i] : ! [v7: % 57.48/8.37 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~ $i(v9) | % 57.48/8.37 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ r1(v9, v10) | ~ r1(v8, v9) | ~ % 57.48/8.37 r1(v7, v8) | ~ r1(v6, v7) | ~ r1(v0, v6) | p1(v10) | ? [v11: $i] : ? % 57.48/8.37 [v12: $i] : ($i(v12) & $i(v11) & ((p1(v11) & r1(v11, v12) & r1(v10, v11) & % 57.48/8.37 ~ p1(v12)) | (r1(v8, v11) & ~ p1(v11) & ! [v13: $i] : ! [v14: % 57.48/8.37 $i] : ( ~ $i(v14) | ~ $i(v13) | ~ p1(v13) | ~ r1(v13, v14) | ~ % 57.48/8.37 r1(v11, v13) | p1(v14)))))) & ! [v6: $i] : ! [v7: $i] : ! [v8: % 57.48/8.37 $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ % 57.48/8.37 r1(v8, v9) | ~ r1(v7, v8) | ~ r1(v6, v7) | ~ r1(v0, v6) | p1(v9) | ? % 57.48/8.37 [v10: $i] : ($i(v10) & r1(v7, v10) & ~ p1(v10))) & ! [v6: $i] : ! [v7: % 57.48/8.37 $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ % 57.48/8.37 $i(v6) | ~ r1(v8, v9) | ~ r1(v7, v8) | ~ r1(v6, v7) | ~ r1(v0, v6) | % 57.48/8.37 p1(v8) | ? [v10: $i] : ($i(v10) & ((r1(v9, v10) & ~ p1(v10)) | (r1(v8, % 57.48/8.37 v10) & ~ p1(v10) & ! [v11: $i] : ! [v12: $i] : ( ~ $i(v12) | ~ % 57.48/8.37 $i(v11) | ~ p1(v11) | ~ r1(v11, v12) | ~ r1(v10, v11) | % 57.48/8.37 p1(v12)))))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 57.48/8.37 $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ r1(v7, v8) | ~ r1(v6, v7) | ~ r1(v0, % 57.48/8.37 v6) | p1(v8) | ? [v9: $i] : ($i(v9) & r1(v6, v9) & ~ p1(v9))) & ! % 57.48/8.37 [v6: $i] : ( ~ $i(v6) | ~ r1(v4, v6) | p1(v6)) & ! [v6: $i] : ( ~ $i(v6) | % 57.48/8.37 ~ r1(v3, v6) | p1(v6) | ? [v7: $i] : ? [v8: $i] : ($i(v8) & $i(v7) & % 57.48/8.37 p1(v7) & r1(v7, v8) & r1(v6, v7) & ~ p1(v8)))) % 57.48/8.37 % 57.48/8.37 Further assumptions not needed in the proof: % 57.48/8.37 -------------------------------------------- % 57.48/8.37 reflexivity % 57.48/8.37 % 57.48/8.37 Those formulas are unsatisfiable: % 57.48/8.37 --------------------------------- % 57.48/8.37 % 57.48/8.37 Begin of proof % 57.48/8.37 | % 57.48/8.37 | DELTA: instantiating (main) with fresh symbols all_3_0, all_3_1, all_3_2, % 57.48/8.37 | all_3_3, all_3_4, all_3_5 gives: % 57.48/8.39 | (1) $i(all_3_0) & $i(all_3_1) & $i(all_3_2) & $i(all_3_3) & $i(all_3_4) & % 57.48/8.39 | $i(all_3_5) & r1(all_3_2, all_3_0) & r1(all_3_2, all_3_1) & r1(all_3_3, % 57.48/8.39 | all_3_2) & r1(all_3_4, all_3_3) & r1(all_3_5, all_3_4) & ~ % 57.48/8.39 | p1(all_3_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 57.48/8.39 | ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 57.48/8.39 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ % 57.48/8.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_3_5, v0) | % 57.48/8.39 | p1(v5) | ? [v6: $i] : ($i(v6) & r1(v3, v6) & ~ p1(v6))) & ! [v0: % 57.48/8.39 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 57.48/8.39 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v2) | % 57.48/8.39 | ~ r1(v2, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.48/8.39 | r1(all_3_5, v0) | p1(v4) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & % 57.48/8.39 | $i(v5) & ((p1(v5) & r1(v5, v6) & r1(v3, v5) & ~ p1(v6)) | (p1(v5) % 57.48/8.39 | & r1(v5, v6) & r1(v2, v5) & ~ p1(v6) & ! [v7: $i] : ! [v8: % 57.48/8.39 | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ % 57.48/8.39 | p1(v8) | ~ r1(v8, v9) | ~ r1(v7, v8) | ~ r1(v5, v7) | % 57.48/8.39 | p1(v9) | p1(v7)) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 57.48/8.39 | ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ p1(v8) | ~ r1(v8, v9) % 57.48/8.39 | | ~ r1(v7, v8) | ~ r1(v5, v7) | p1(v9) | ? [v10: $i] : % 57.48/8.39 | ($i(v10) & r1(v7, v10) & ~ p1(v10))))))) & ! [v0: $i] : ! % 57.48/8.39 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ % 57.48/8.39 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v3, v4) | ~ % 57.48/8.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_3_5, v0) | % 57.48/8.39 | p1(v4) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p1(v5) & % 57.48/8.39 | r1(v5, v6) & r1(v4, v5) & ~ p1(v6)) | (r1(v2, v5) & ~ p1(v5) % 57.48/8.39 | & ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~ % 57.48/8.40 | p1(v7) | ~ r1(v7, v8) | ~ r1(v5, v7) | p1(v8)))))) & ! % 57.48/8.40 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 57.48/8.40 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ % 57.48/8.40 | r1(v0, v1) | ~ r1(all_3_5, v0) | p1(v3) | ? [v4: $i] : ($i(v4) & % 57.48/8.40 | r1(v1, v4) & ~ p1(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 57.48/8.40 | : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 57.48/8.40 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_3_5, v0) | % 57.48/8.40 | p1(v2) | ? [v4: $i] : ($i(v4) & ((r1(v3, v4) & ~ p1(v4)) | (r1(v2, % 57.48/8.40 | v4) & ~ p1(v4) & ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ % 57.48/8.40 | $i(v5) | ~ p1(v5) | ~ r1(v5, v6) | ~ r1(v4, v5) | % 57.95/8.40 | p1(v6)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 57.95/8.40 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.95/8.40 | r1(all_3_5, v0) | p1(v2) | ? [v3: $i] : ($i(v3) & r1(v0, v3) & ~ % 57.95/8.40 | p1(v3))) & ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_3_1, v0) | p1(v0)) % 57.95/8.40 | & ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_3_2, v0) | p1(v0) | ? [v1: $i] % 57.95/8.40 | : ? [v2: $i] : ($i(v2) & $i(v1) & p1(v1) & r1(v1, v2) & r1(v0, v1) & % 57.95/8.40 | ~ p1(v2))) % 57.95/8.40 | % 57.95/8.40 | ALPHA: (1) implies: % 57.95/8.40 | (2) ~ p1(all_3_0) % 57.95/8.40 | (3) r1(all_3_5, all_3_4) % 57.95/8.40 | (4) r1(all_3_4, all_3_3) % 57.95/8.40 | (5) r1(all_3_3, all_3_2) % 57.95/8.40 | (6) r1(all_3_2, all_3_1) % 57.95/8.40 | (7) r1(all_3_2, all_3_0) % 57.95/8.40 | (8) $i(all_3_4) % 57.95/8.40 | (9) $i(all_3_3) % 57.95/8.40 | (10) $i(all_3_2) % 57.95/8.40 | (11) $i(all_3_1) % 57.95/8.40 | (12) $i(all_3_0) % 57.95/8.41 | (13) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_3_2, v0) | p1(v0) | ? [v1: $i] : % 57.95/8.41 | ? [v2: $i] : ($i(v2) & $i(v1) & p1(v1) & r1(v1, v2) & r1(v0, v1) & % 57.95/8.41 | ~ p1(v2))) % 57.95/8.41 | (14) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_3_1, v0) | p1(v0)) % 57.95/8.41 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 57.95/8.41 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_3_5, v0) | p1(v2) % 57.95/8.41 | | ? [v3: $i] : ($i(v3) & r1(v0, v3) & ~ p1(v3))) % 57.95/8.41 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | % 57.95/8.41 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | % 57.95/8.41 | ~ r1(v0, v1) | ~ r1(all_3_5, v0) | p1(v2) | ? [v4: $i] : ($i(v4) & % 57.95/8.41 | ((r1(v3, v4) & ~ p1(v4)) | (r1(v2, v4) & ~ p1(v4) & ! [v5: $i] % 57.95/8.41 | : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ p1(v5) | ~ r1(v5, % 57.95/8.41 | v6) | ~ r1(v4, v5) | p1(v6)))))) % 57.95/8.42 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 57.95/8.42 | ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v3, % 57.95/8.42 | v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.95/8.42 | r1(all_3_5, v0) | p1(v4) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & % 57.95/8.42 | $i(v5) & ((p1(v5) & r1(v5, v6) & r1(v4, v5) & ~ p1(v6)) | (r1(v2, % 57.95/8.42 | v5) & ~ p1(v5) & ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | % 57.95/8.42 | ~ $i(v7) | ~ p1(v7) | ~ r1(v7, v8) | ~ r1(v5, v7) | % 57.95/8.42 | p1(v8)))))) % 57.95/8.42 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 57.95/8.42 | ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v2) % 57.95/8.42 | | ~ r1(v2, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.95/8.42 | r1(all_3_5, v0) | p1(v4) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & % 57.95/8.42 | $i(v5) & ((p1(v5) & r1(v5, v6) & r1(v3, v5) & ~ p1(v6)) | (p1(v5) % 57.95/8.42 | & r1(v5, v6) & r1(v2, v5) & ~ p1(v6) & ! [v7: $i] : ! [v8: % 57.95/8.42 | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ % 57.95/8.42 | p1(v8) | ~ r1(v8, v9) | ~ r1(v7, v8) | ~ r1(v5, v7) | % 57.95/8.42 | p1(v9) | p1(v7)) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 57.95/8.42 | ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ p1(v8) | ~ r1(v8, v9) % 57.95/8.42 | | ~ r1(v7, v8) | ~ r1(v5, v7) | p1(v9) | ? [v10: $i] : % 57.95/8.42 | ($i(v10) & r1(v7, v10) & ~ p1(v10))))))) % 57.95/8.43 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 57.95/8.43 | ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 57.95/8.43 | $i(v1) | ~ $i(v0) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v2, v3) | % 57.95/8.43 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_3_5, v0) | p1(v5) | ? % 57.95/8.43 | [v6: $i] : ($i(v6) & r1(v3, v6) & ~ p1(v6))) % 57.95/8.43 | % 57.95/8.43 | GROUND_INST: instantiating (15) with all_3_4, all_3_3, all_3_2, simplifying % 57.95/8.43 | with (3), (4), (5), (8), (9), (10) gives: % 57.95/8.43 | (20) p1(all_3_2) | ? [v0: $i] : ($i(v0) & r1(all_3_4, v0) & ~ p1(v0)) % 57.95/8.43 | % 57.95/8.43 | GROUND_INST: instantiating (16) with all_3_4, all_3_3, all_3_2, all_3_1, % 57.95/8.43 | simplifying with (3), (4), (5), (6), (8), (9), (10), (11) gives: % 57.95/8.43 | (21) p1(all_3_2) | ? [v0: $i] : ($i(v0) & ((r1(all_3_1, v0) & ~ p1(v0)) | % 57.95/8.43 | (r1(all_3_2, v0) & ~ p1(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 57.95/8.43 | $i(v2) | ~ $i(v1) | ~ p1(v1) | ~ r1(v1, v2) | ~ r1(v0, v1) % 57.95/8.43 | | p1(v2))))) % 57.95/8.43 | % 57.95/8.43 | BETA: splitting (20) gives: % 57.95/8.43 | % 57.95/8.43 | Case 1: % 57.95/8.43 | | % 57.95/8.43 | | (22) p1(all_3_2) % 57.95/8.43 | | % 57.95/8.43 | | GROUND_INST: instantiating (18) with all_3_4, all_3_3, all_3_2, all_3_1, % 57.95/8.43 | | all_3_0, simplifying with (2), (3), (4), (5), (6), (7), (8), % 57.95/8.43 | | (9), (10), (11), (12), (22) gives: % 57.95/8.44 | | (23) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & ((p1(v0) & r1(v0, v1) % 57.95/8.44 | | & r1(all_3_1, v0) & ~ p1(v1)) | (p1(v0) & r1(v0, v1) & % 57.95/8.44 | | r1(all_3_2, v0) & ~ p1(v1) & ! [v2: $i] : ! [v3: $i] : ! % 57.95/8.44 | | [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ p1(v3) | ~ % 57.95/8.44 | | r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v0, v2) | p1(v4) | % 57.95/8.44 | | p1(v2)) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 57.95/8.44 | | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ p1(v3) | ~ r1(v3, v4) | % 57.95/8.44 | | ~ r1(v2, v3) | ~ r1(v0, v2) | p1(v4) | ? [v5: $i] : % 57.95/8.44 | | ($i(v5) & r1(v2, v5) & ~ p1(v5)))))) % 57.95/8.44 | | % 57.95/8.44 | | DELTA: instantiating (23) with fresh symbols all_57_0, all_57_1 gives: % 57.95/8.44 | | (24) $i(all_57_0) & $i(all_57_1) & ((p1(all_57_1) & r1(all_57_1, % 57.95/8.44 | | all_57_0) & r1(all_3_1, all_57_1) & ~ p1(all_57_0)) | % 57.95/8.44 | | (p1(all_57_1) & r1(all_57_1, all_57_0) & r1(all_3_2, all_57_1) & % 57.95/8.44 | | ~ p1(all_57_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 57.95/8.44 | | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v1) | ~ r1(v1, v2) | % 57.95/8.44 | | ~ r1(v0, v1) | ~ r1(all_57_1, v0) | p1(v2) | p1(v0)) & ! % 57.95/8.44 | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | % 57.95/8.44 | | ~ $i(v0) | ~ p1(v1) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.95/8.44 | | r1(all_57_1, v0) | p1(v2) | ? [v3: $i] : ($i(v3) & r1(v0, v3) % 57.95/8.44 | | & ~ p1(v3))))) % 57.95/8.44 | | % 57.95/8.44 | | ALPHA: (24) implies: % 57.95/8.44 | | (25) $i(all_57_1) % 57.95/8.44 | | (26) $i(all_57_0) % 57.95/8.45 | | (27) (p1(all_57_1) & r1(all_57_1, all_57_0) & r1(all_3_1, all_57_1) & ~ % 57.95/8.45 | | p1(all_57_0)) | (p1(all_57_1) & r1(all_57_1, all_57_0) & % 57.95/8.45 | | r1(all_3_2, all_57_1) & ~ p1(all_57_0) & ! [v0: $i] : ! [v1: % 57.95/8.45 | | $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 57.95/8.45 | | p1(v1) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_57_1, v0) | % 57.95/8.45 | | p1(v2) | p1(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 57.95/8.45 | | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v1) | ~ r1(v1, v2) | ~ % 57.95/8.45 | | r1(v0, v1) | ~ r1(all_57_1, v0) | p1(v2) | ? [v3: $i] : % 57.95/8.45 | | ($i(v3) & r1(v0, v3) & ~ p1(v3)))) % 57.95/8.45 | | % 57.95/8.45 | | BETA: splitting (27) gives: % 57.95/8.45 | | % 57.95/8.45 | | Case 1: % 57.95/8.45 | | | % 57.95/8.45 | | | (28) p1(all_57_1) & r1(all_57_1, all_57_0) & r1(all_3_1, all_57_1) & ~ % 57.95/8.45 | | | p1(all_57_0) % 57.95/8.45 | | | % 57.95/8.45 | | | ALPHA: (28) implies: % 57.95/8.45 | | | (29) ~ p1(all_57_0) % 57.95/8.45 | | | (30) r1(all_3_1, all_57_1) % 57.95/8.45 | | | (31) r1(all_57_1, all_57_0) % 57.95/8.45 | | | % 57.95/8.45 | | | GROUND_INST: instantiating (19) with all_3_4, all_3_3, all_3_2, all_3_1, % 57.95/8.45 | | | all_57_1, all_57_0, simplifying with (3), (4), (5), (6), (8), % 57.95/8.45 | | | (9), (10), (11), (25), (26), (29), (30), (31) gives: % 57.95/8.45 | | | (32) ? [v0: $i] : ($i(v0) & r1(all_3_1, v0) & ~ p1(v0)) % 57.95/8.45 | | | % 57.95/8.45 | | | DELTA: instantiating (32) with fresh symbol all_80_0 gives: % 57.95/8.45 | | | (33) $i(all_80_0) & r1(all_3_1, all_80_0) & ~ p1(all_80_0) % 57.95/8.45 | | | % 57.95/8.45 | | | ALPHA: (33) implies: % 57.95/8.45 | | | (34) ~ p1(all_80_0) % 57.95/8.45 | | | (35) r1(all_3_1, all_80_0) % 57.95/8.45 | | | (36) $i(all_80_0) % 57.95/8.45 | | | % 57.95/8.45 | | | GROUND_INST: instantiating (14) with all_80_0, simplifying with (34), % 57.95/8.45 | | | (35), (36) gives: % 57.95/8.45 | | | (37) $false % 57.95/8.45 | | | % 57.95/8.45 | | | CLOSE: (37) is inconsistent. % 57.95/8.45 | | | % 57.95/8.45 | | Case 2: % 57.95/8.45 | | | % 57.95/8.46 | | | (38) p1(all_57_1) & r1(all_57_1, all_57_0) & r1(all_3_2, all_57_1) & ~ % 57.95/8.46 | | | p1(all_57_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 57.95/8.46 | | | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v1) | ~ r1(v1, v2) | ~ % 57.95/8.46 | | | r1(v0, v1) | ~ r1(all_57_1, v0) | p1(v2) | p1(v0)) & ! [v0: % 57.95/8.46 | | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 57.95/8.46 | | | $i(v0) | ~ p1(v1) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.95/8.46 | | | r1(all_57_1, v0) | p1(v2) | ? [v3: $i] : ($i(v3) & r1(v0, v3) & % 57.95/8.46 | | | ~ p1(v3))) % 57.95/8.46 | | | % 57.95/8.46 | | | ALPHA: (38) implies: % 57.95/8.46 | | | (39) ~ p1(all_57_0) % 57.95/8.46 | | | (40) r1(all_3_2, all_57_1) % 57.95/8.46 | | | (41) r1(all_57_1, all_57_0) % 57.95/8.46 | | | (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | % 57.95/8.46 | | | ~ $i(v0) | ~ p1(v1) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ % 57.95/8.46 | | | r1(all_57_1, v0) | p1(v2) | p1(v0)) % 57.95/8.46 | | | % 57.95/8.46 | | | GROUND_INST: instantiating (17) with all_3_4, all_3_3, all_3_2, all_57_1, % 57.95/8.46 | | | all_57_0, simplifying with (3), (4), (5), (8), (9), (10), % 57.95/8.46 | | | (25), (26), (39), (40), (41) gives: % 57.95/8.46 | | | (43) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & ((p1(v0) & r1(v0, % 57.95/8.46 | | | v1) & r1(all_57_0, v0) & ~ p1(v1)) | (r1(all_3_2, v0) & % 57.95/8.46 | | | ~ p1(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 57.95/8.46 | | | $i(v2) | ~ p1(v2) | ~ r1(v2, v3) | ~ r1(v0, v2) | % 57.95/8.46 | | | p1(v3))))) % 57.95/8.46 | | | % 57.95/8.46 | | | DELTA: instantiating (43) with fresh symbols all_81_0, all_81_1 gives: % 57.95/8.47 | | | (44) $i(all_81_0) & $i(all_81_1) & ((p1(all_81_1) & r1(all_81_1, % 57.95/8.47 | | | all_81_0) & r1(all_57_0, all_81_1) & ~ p1(all_81_0)) | % 57.95/8.47 | | | (r1(all_3_2, all_81_1) & ~ p1(all_81_1) & ! [v0: $i] : ! [v1: % 57.95/8.47 | | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v0, v1) | % 57.95/8.47 | | | ~ r1(all_81_1, v0) | p1(v1)))) % 57.95/8.47 | | | % 57.95/8.47 | | | ALPHA: (44) implies: % 57.95/8.47 | | | (45) $i(all_81_1) % 57.95/8.47 | | | (46) $i(all_81_0) % 57.95/8.47 | | | (47) (p1(all_81_1) & r1(all_81_1, all_81_0) & r1(all_57_0, all_81_1) & % 57.95/8.47 | | | ~ p1(all_81_0)) | (r1(all_3_2, all_81_1) & ~ p1(all_81_1) & ! % 57.95/8.47 | | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ % 57.95/8.47 | | | r1(v0, v1) | ~ r1(all_81_1, v0) | p1(v1))) % 57.95/8.47 | | | % 57.95/8.47 | | | BETA: splitting (47) gives: % 57.95/8.47 | | | % 57.95/8.47 | | | Case 1: % 57.95/8.47 | | | | % 57.95/8.47 | | | | (48) p1(all_81_1) & r1(all_81_1, all_81_0) & r1(all_57_0, all_81_1) & % 57.95/8.47 | | | | ~ p1(all_81_0) % 57.95/8.47 | | | | % 57.95/8.47 | | | | ALPHA: (48) implies: % 57.95/8.47 | | | | (49) ~ p1(all_81_0) % 57.95/8.47 | | | | (50) r1(all_57_0, all_81_1) % 57.95/8.47 | | | | (51) r1(all_81_1, all_81_0) % 57.95/8.47 | | | | (52) p1(all_81_1) % 57.95/8.47 | | | | % 57.95/8.47 | | | | GROUND_INST: instantiating (42) with all_57_0, all_81_1, all_81_0, % 57.95/8.47 | | | | simplifying with (26), (39), (41), (45), (46), (49), (50), % 57.95/8.47 | | | | (51), (52) gives: % 57.95/8.47 | | | | (53) $false % 57.95/8.47 | | | | % 57.95/8.47 | | | | CLOSE: (53) is inconsistent. % 57.95/8.47 | | | | % 57.95/8.47 | | | Case 2: % 57.95/8.47 | | | | % 57.95/8.47 | | | | (54) r1(all_3_2, all_81_1) & ~ p1(all_81_1) & ! [v0: $i] : ! [v1: % 57.95/8.47 | | | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v0, v1) | ~ % 57.95/8.47 | | | | r1(all_81_1, v0) | p1(v1)) % 57.95/8.47 | | | | % 57.95/8.47 | | | | ALPHA: (54) implies: % 57.95/8.47 | | | | (55) ~ p1(all_81_1) % 57.95/8.47 | | | | (56) r1(all_3_2, all_81_1) % 57.95/8.47 | | | | (57) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | % 57.95/8.47 | | | | ~ r1(v0, v1) | ~ r1(all_81_1, v0) | p1(v1)) % 57.95/8.47 | | | | % 57.95/8.47 | | | | GROUND_INST: instantiating (13) with all_81_1, simplifying with (45), % 57.95/8.47 | | | | (55), (56) gives: % 57.95/8.48 | | | | (58) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p1(v0) & r1(v0, % 57.95/8.48 | | | | v1) & r1(all_81_1, v0) & ~ p1(v1)) % 57.95/8.48 | | | | % 57.95/8.48 | | | | DELTA: instantiating (58) with fresh symbols all_121_0, all_121_1 gives: % 57.95/8.48 | | | | (59) $i(all_121_0) & $i(all_121_1) & p1(all_121_1) & r1(all_121_1, % 57.95/8.48 | | | | all_121_0) & r1(all_81_1, all_121_1) & ~ p1(all_121_0) % 57.95/8.48 | | | | % 57.95/8.48 | | | | ALPHA: (59) implies: % 57.95/8.48 | | | | (60) ~ p1(all_121_0) % 57.95/8.48 | | | | (61) r1(all_81_1, all_121_1) % 57.95/8.48 | | | | (62) r1(all_121_1, all_121_0) % 57.95/8.48 | | | | (63) p1(all_121_1) % 57.95/8.48 | | | | (64) $i(all_121_1) % 57.95/8.48 | | | | (65) $i(all_121_0) % 57.95/8.48 | | | | % 57.95/8.48 | | | | GROUND_INST: instantiating (57) with all_121_1, all_121_0, simplifying % 57.95/8.48 | | | | with (60), (61), (62), (63), (64), (65) gives: % 57.95/8.48 | | | | (66) $false % 57.95/8.48 | | | | % 57.95/8.48 | | | | CLOSE: (66) is inconsistent. % 57.95/8.48 | | | | % 57.95/8.48 | | | End of split % 57.95/8.48 | | | % 57.95/8.48 | | End of split % 57.95/8.48 | | % 57.95/8.48 | Case 2: % 57.95/8.48 | | % 57.95/8.48 | | (67) ~ p1(all_3_2) % 57.95/8.48 | | % 57.95/8.48 | | BETA: splitting (21) gives: % 57.95/8.48 | | % 57.95/8.48 | | Case 1: % 57.95/8.48 | | | % 57.95/8.48 | | | (68) p1(all_3_2) % 57.95/8.48 | | | % 57.95/8.48 | | | PRED_UNIFY: (67), (68) imply: % 57.95/8.48 | | | (69) $false % 57.95/8.48 | | | % 57.95/8.48 | | | CLOSE: (69) is inconsistent. % 57.95/8.48 | | | % 57.95/8.48 | | Case 2: % 57.95/8.48 | | | % 57.95/8.48 | | | (70) ? [v0: $i] : ($i(v0) & ((r1(all_3_1, v0) & ~ p1(v0)) | % 57.95/8.48 | | | (r1(all_3_2, v0) & ~ p1(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 57.95/8.48 | | | $i(v2) | ~ $i(v1) | ~ p1(v1) | ~ r1(v1, v2) | ~ r1(v0, % 57.95/8.48 | | | v1) | p1(v2))))) % 57.95/8.48 | | | % 57.95/8.48 | | | DELTA: instantiating (70) with fresh symbol all_58_0 gives: % 57.95/8.48 | | | (71) $i(all_58_0) & ((r1(all_3_1, all_58_0) & ~ p1(all_58_0)) | % 57.95/8.48 | | | (r1(all_3_2, all_58_0) & ~ p1(all_58_0) & ! [v0: $i] : ! [v1: % 57.95/8.48 | | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v0, v1) | % 57.95/8.48 | | | ~ r1(all_58_0, v0) | p1(v1)))) % 57.95/8.48 | | | % 57.95/8.48 | | | ALPHA: (71) implies: % 57.95/8.48 | | | (72) $i(all_58_0) % 57.95/8.49 | | | (73) (r1(all_3_1, all_58_0) & ~ p1(all_58_0)) | (r1(all_3_2, all_58_0) % 57.95/8.49 | | | & ~ p1(all_58_0) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 57.95/8.49 | | | $i(v0) | ~ p1(v0) | ~ r1(v0, v1) | ~ r1(all_58_0, v0) | % 57.95/8.49 | | | p1(v1))) % 57.95/8.49 | | | % 57.95/8.49 | | | BETA: splitting (73) gives: % 57.95/8.49 | | | % 57.95/8.49 | | | Case 1: % 57.95/8.49 | | | | % 57.95/8.49 | | | | (74) r1(all_3_1, all_58_0) & ~ p1(all_58_0) % 57.95/8.49 | | | | % 57.95/8.49 | | | | ALPHA: (74) implies: % 57.95/8.49 | | | | (75) ~ p1(all_58_0) % 57.95/8.49 | | | | (76) r1(all_3_1, all_58_0) % 57.95/8.49 | | | | % 57.95/8.49 | | | | GROUND_INST: instantiating (14) with all_58_0, simplifying with (72), % 57.95/8.49 | | | | (75), (76) gives: % 57.95/8.49 | | | | (77) $false % 57.95/8.49 | | | | % 57.95/8.49 | | | | CLOSE: (77) is inconsistent. % 57.95/8.49 | | | | % 57.95/8.49 | | | Case 2: % 57.95/8.49 | | | | % 57.95/8.49 | | | | (78) r1(all_3_2, all_58_0) & ~ p1(all_58_0) & ! [v0: $i] : ! [v1: % 57.95/8.49 | | | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v0, v1) | ~ % 57.95/8.49 | | | | r1(all_58_0, v0) | p1(v1)) % 57.95/8.49 | | | | % 57.95/8.49 | | | | ALPHA: (78) implies: % 57.95/8.49 | | | | (79) ~ p1(all_58_0) % 57.95/8.49 | | | | (80) r1(all_3_2, all_58_0) % 57.95/8.49 | | | | (81) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | % 57.95/8.49 | | | | ~ r1(v0, v1) | ~ r1(all_58_0, v0) | p1(v1)) % 57.95/8.49 | | | | % 57.95/8.49 | | | | GROUND_INST: instantiating (13) with all_58_0, simplifying with (72), % 57.95/8.49 | | | | (79), (80) gives: % 57.95/8.49 | | | | (82) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p1(v0) & r1(v0, % 57.95/8.49 | | | | v1) & r1(all_58_0, v0) & ~ p1(v1)) % 57.95/8.49 | | | | % 57.95/8.49 | | | | DELTA: instantiating (82) with fresh symbols all_87_0, all_87_1 gives: % 57.95/8.49 | | | | (83) $i(all_87_0) & $i(all_87_1) & p1(all_87_1) & r1(all_87_1, % 57.95/8.49 | | | | all_87_0) & r1(all_58_0, all_87_1) & ~ p1(all_87_0) % 57.95/8.49 | | | | % 57.95/8.49 | | | | ALPHA: (83) implies: % 57.95/8.49 | | | | (84) ~ p1(all_87_0) % 57.95/8.49 | | | | (85) r1(all_58_0, all_87_1) % 57.95/8.49 | | | | (86) r1(all_87_1, all_87_0) % 57.95/8.49 | | | | (87) p1(all_87_1) % 57.95/8.49 | | | | (88) $i(all_87_1) % 57.95/8.49 | | | | (89) $i(all_87_0) % 57.95/8.49 | | | | % 57.95/8.49 | | | | GROUND_INST: instantiating (81) with all_87_1, all_87_0, simplifying % 57.95/8.49 | | | | with (84), (85), (86), (87), (88), (89) gives: % 57.95/8.49 | | | | (90) $false % 57.95/8.49 | | | | % 57.95/8.49 | | | | CLOSE: (90) is inconsistent. % 57.95/8.49 | | | | % 57.95/8.49 | | | End of split % 57.95/8.49 | | | % 57.95/8.49 | | End of split % 57.95/8.49 | | % 57.95/8.49 | End of split % 57.95/8.49 | % 57.95/8.49 End of proof % 57.95/8.49 % SZS output end Proof for theBenchmark % 57.95/8.50 % 57.95/8.50 7785ms %------------------------------------------------------------------------------