%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NLP009+1 : TPTP v8.1.2. Released v2.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 10:03:18 EDT 2023 % Result : Theorem 6.35s 1.60s % Output : Proof 13.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NLP009+1 : TPTP v8.1.2. Released v2.4.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n002.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Aug 24 11:47:31 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.59/1.06 Prover 1: Preprocessing ... % 2.59/1.06 Prover 4: Preprocessing ... % 2.59/1.11 Prover 5: Preprocessing ... % 2.59/1.11 Prover 3: Preprocessing ... % 2.59/1.11 Prover 6: Preprocessing ... % 2.59/1.11 Prover 0: Preprocessing ... % 2.59/1.11 Prover 2: Preprocessing ... % 4.74/1.40 Prover 5: Constructing countermodel ... % 4.96/1.41 Prover 2: Constructing countermodel ... % 5.14/1.49 Prover 6: Proving ... % 5.81/1.59 Prover 3: Constructing countermodel ... % 6.35/1.60 Prover 2: proved (970ms) % 6.35/1.60 % 6.35/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.35/1.60 % 6.35/1.60 Prover 1: Constructing countermodel ... % 6.35/1.60 Prover 6: stopped % 6.35/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.35/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.35/1.61 Prover 3: stopped % 6.35/1.62 Prover 5: stopped % 6.35/1.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.35/1.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.35/1.64 Prover 7: Preprocessing ... % 6.35/1.64 Prover 8: Preprocessing ... % 6.96/1.68 Prover 11: Preprocessing ... % 6.96/1.69 Prover 10: Preprocessing ... % 6.96/1.70 Prover 7: Constructing countermodel ... % 7.37/1.76 Prover 10: Constructing countermodel ... % 7.37/1.80 Prover 8: Warning: ignoring some quantifiers % 7.37/1.81 Prover 8: Constructing countermodel ... % 8.03/1.87 Prover 7: Found proof (size 15) % 8.03/1.87 Prover 7: proved (270ms) % 8.03/1.88 Prover 1: stopped % 8.03/1.88 Prover 10: stopped % 8.03/1.88 Prover 8: stopped % 12.11/2.62 Prover 4: stopped % 12.11/2.63 Prover 0: stopped % 12.11/2.65 Prover 11: stopped % 12.11/2.65 % 12.11/2.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.11/2.65 % 12.86/2.66 % SZS output start Proof for theBenchmark % 12.86/2.66 Assumptions after simplification: % 12.86/2.66 --------------------------------- % 12.86/2.66 % 12.86/2.66 (co1) % 13.32/2.68 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 13.32/2.68 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v8) & $i(v7) & $i(v6) & % 13.32/2.68 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v8 = v5 & v7 = v4 & % 13.32/2.68 ~ (v5 = v4) & young(v5) & young(v4) & man(v5) & man(v4) & fellow(v5) & % 13.32/2.68 fellow(v4) & front(v6) & furniture(v6) & seat(v6) & in(v5, v6) & in(v4, % 13.32/2.68 v6) & in(v1, v0) & down(v1, v3) & barrel(v1, v2) & old(v2) & dirty(v2) % 13.32/2.68 & white(v2) & car(v2) & chevy(v2) & lonely(v3) & way(v3) & street(v3) & % 13.32/2.68 event(v1) & city(v0) & hollywood(v0) & ! [v9: $i] : ! [v10: $i] : ! % 13.32/2.68 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : % 13.32/2.68 (v14 = v13 | ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ % 13.32/2.68 $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ young(v14) | ~ young(v13) | ~ % 13.32/2.68 man(v14) | ~ man(v13) | ~ fellow(v14) | ~ fellow(v13) | ~ % 13.32/2.68 front(v15) | ~ furniture(v15) | ~ seat(v15) | ~ in(v14, v15) | ~ % 13.32/2.68 in(v13, v15) | ~ in(v10, v9) | ~ down(v10, v11) | ~ barrel(v10, % 13.32/2.68 v12) | ~ old(v12) | ~ dirty(v12) | ~ white(v12) | ~ car(v12) | % 13.32/2.68 ~ chevy(v12) | ~ lonely(v11) | ~ way(v11) | ~ street(v11) | ~ % 13.32/2.68 event(v10) | ~ city(v9) | ~ hollywood(v9))) | (v8 = v5 & v7 = v4 & % 13.32/2.68 ~ (v5 = v4) & young(v5) & young(v4) & man(v5) & man(v4) & fellow(v5) & % 13.32/2.68 fellow(v4) & front(v6) & furniture(v6) & seat(v6) & in(v5, v6) & in(v4, % 13.32/2.68 v6) & in(v1, v0) & down(v1, v2) & barrel(v1, v3) & old(v3) & dirty(v3) % 13.32/2.68 & white(v3) & car(v3) & chevy(v3) & lonely(v2) & way(v2) & street(v2) & % 13.32/2.68 event(v1) & city(v0) & hollywood(v0) & ! [v9: $i] : ! [v10: $i] : ! % 13.32/2.68 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : % 13.32/2.68 (v14 = v13 | ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ % 13.32/2.69 $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ young(v14) | ~ young(v13) | ~ % 13.32/2.69 man(v14) | ~ man(v13) | ~ fellow(v14) | ~ fellow(v13) | ~ % 13.32/2.69 front(v15) | ~ furniture(v15) | ~ seat(v15) | ~ in(v14, v15) | ~ % 13.32/2.69 in(v13, v15) | ~ in(v10, v9) | ~ down(v10, v12) | ~ barrel(v10, % 13.32/2.69 v11) | ~ old(v11) | ~ dirty(v11) | ~ white(v11) | ~ car(v11) | % 13.32/2.69 ~ chevy(v11) | ~ lonely(v12) | ~ way(v12) | ~ street(v12) | ~ % 13.32/2.69 event(v10) | ~ city(v9) | ~ hollywood(v9))))) % 13.32/2.69 % 13.32/2.69 Those formulas are unsatisfiable: % 13.32/2.69 --------------------------------- % 13.32/2.69 % 13.32/2.69 Begin of proof % 13.32/2.69 | % 13.32/2.69 | DELTA: instantiating (co1) with fresh symbols all_2_0, all_2_1, all_2_2, % 13.32/2.69 | all_2_3, all_2_4, all_2_5, all_2_6, all_2_7, all_2_8 gives: % 13.32/2.70 | (1) $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) & % 13.32/2.70 | $i(all_2_5) & $i(all_2_6) & $i(all_2_7) & $i(all_2_8) & ((all_2_0 = % 13.32/2.70 | all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.32/2.70 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.32/2.70 | fellow(all_2_3) & fellow(all_2_4) & front(all_2_2) & % 13.32/2.70 | furniture(all_2_2) & seat(all_2_2) & in(all_2_3, all_2_2) & % 13.32/2.70 | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, % 13.32/2.70 | all_2_5) & barrel(all_2_7, all_2_6) & old(all_2_6) & % 13.32/2.70 | dirty(all_2_6) & white(all_2_6) & car(all_2_6) & chevy(all_2_6) & % 13.32/2.70 | lonely(all_2_5) & way(all_2_5) & street(all_2_5) & event(all_2_7) & % 13.32/2.70 | city(all_2_8) & hollywood(all_2_8) & ! [v0: $i] : ! [v1: $i] : ! % 13.32/2.70 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 13.32/2.70 | (v5 = v4 | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 13.32/2.70 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v5) | ~ young(v4) | ~ % 13.32/2.70 | man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ % 13.32/2.70 | front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ % 13.32/2.70 | in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) % 13.32/2.70 | | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ % 13.32/2.70 | chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ % 13.32/2.70 | event(v1) | ~ city(v0) | ~ hollywood(v0))) | (all_2_0 = all_2_3 % 13.32/2.70 | & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & young(all_2_3) & % 13.32/2.70 | young(all_2_4) & man(all_2_3) & man(all_2_4) & fellow(all_2_3) & % 13.32/2.70 | fellow(all_2_4) & front(all_2_2) & furniture(all_2_2) & % 13.32/2.70 | seat(all_2_2) & in(all_2_3, all_2_2) & in(all_2_4, all_2_2) & % 13.32/2.70 | in(all_2_7, all_2_8) & down(all_2_7, all_2_6) & barrel(all_2_7, % 13.32/2.70 | all_2_5) & old(all_2_5) & dirty(all_2_5) & white(all_2_5) & % 13.32/2.71 | car(all_2_5) & chevy(all_2_5) & lonely(all_2_6) & way(all_2_6) & % 13.32/2.71 | street(all_2_6) & event(all_2_7) & city(all_2_8) & % 13.32/2.71 | hollywood(all_2_8) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.32/2.71 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ % 13.32/2.71 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 13.32/2.71 | $i(v1) | ~ $i(v0) | ~ young(v5) | ~ young(v4) | ~ man(v5) | % 13.32/2.71 | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ % 13.32/2.71 | furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ % 13.32/2.71 | in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | % 13.32/2.71 | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ % 13.32/2.71 | lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ % 13.32/2.71 | city(v0) | ~ hollywood(v0)))) % 13.32/2.71 | % 13.32/2.71 | ALPHA: (1) implies: % 13.32/2.71 | (2) $i(all_2_8) % 13.32/2.71 | (3) $i(all_2_7) % 13.32/2.71 | (4) $i(all_2_6) % 13.32/2.71 | (5) $i(all_2_5) % 13.32/2.71 | (6) $i(all_2_2) % 13.32/2.71 | (7) $i(all_2_1) % 13.32/2.71 | (8) $i(all_2_0) % 13.50/2.72 | (9) (all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.50/2.72 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.50/2.72 | fellow(all_2_3) & fellow(all_2_4) & front(all_2_2) & % 13.50/2.72 | furniture(all_2_2) & seat(all_2_2) & in(all_2_3, all_2_2) & % 13.50/2.72 | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5) % 13.50/2.72 | & barrel(all_2_7, all_2_6) & old(all_2_6) & dirty(all_2_6) & % 13.50/2.72 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & lonely(all_2_5) & % 13.50/2.72 | way(all_2_5) & street(all_2_5) & event(all_2_7) & city(all_2_8) & % 13.50/2.72 | hollywood(all_2_8) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.50/2.72 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ % 13.50/2.72 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 13.50/2.72 | | ~ $i(v0) | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) % 13.50/2.72 | | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | % 13.50/2.72 | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ % 13.50/2.72 | down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ % 13.50/2.72 | white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) % 13.50/2.72 | | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))) | % 13.50/2.72 | (all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.50/2.72 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.50/2.72 | fellow(all_2_3) & fellow(all_2_4) & front(all_2_2) & % 13.50/2.72 | furniture(all_2_2) & seat(all_2_2) & in(all_2_3, all_2_2) & % 13.50/2.72 | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, all_2_6) % 13.50/2.72 | & barrel(all_2_7, all_2_5) & old(all_2_5) & dirty(all_2_5) & % 13.50/2.72 | white(all_2_5) & car(all_2_5) & chevy(all_2_5) & lonely(all_2_6) & % 13.50/2.72 | way(all_2_6) & street(all_2_6) & event(all_2_7) & city(all_2_8) & % 13.50/2.72 | hollywood(all_2_8) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.50/2.72 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ % 13.50/2.72 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 13.50/2.72 | | ~ $i(v0) | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) % 13.50/2.72 | | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | % 13.50/2.72 | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ % 13.50/2.72 | down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ % 13.50/2.72 | white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) % 13.50/2.72 | | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))) % 13.50/2.72 | % 13.50/2.72 | BETA: splitting (9) gives: % 13.50/2.72 | % 13.50/2.72 | Case 1: % 13.50/2.72 | | % 13.50/2.72 | | (10) all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.50/2.72 | | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.50/2.72 | | fellow(all_2_3) & fellow(all_2_4) & front(all_2_2) & % 13.50/2.72 | | furniture(all_2_2) & seat(all_2_2) & in(all_2_3, all_2_2) & % 13.50/2.72 | | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5) % 13.50/2.72 | | & barrel(all_2_7, all_2_6) & old(all_2_6) & dirty(all_2_6) & % 13.50/2.72 | | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & lonely(all_2_5) & % 13.50/2.72 | | way(all_2_5) & street(all_2_5) & event(all_2_7) & city(all_2_8) & % 13.50/2.72 | | hollywood(all_2_8) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.50/2.72 | | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ % 13.50/2.72 | | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 13.50/2.72 | | | ~ $i(v0) | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ % 13.50/2.72 | | man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ % 13.50/2.72 | | furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ % 13.50/2.72 | | in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ % 13.50/2.72 | | dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ % 13.50/2.72 | | lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ % 13.50/2.72 | | city(v0) | ~ hollywood(v0)) % 13.50/2.72 | | % 13.50/2.72 | | ALPHA: (10) implies: % 13.50/2.73 | | (11) all_2_1 = all_2_4 % 13.50/2.73 | | (12) all_2_0 = all_2_3 % 13.50/2.73 | | (13) ~ (all_2_3 = all_2_4) % 13.50/2.73 | | (14) hollywood(all_2_8) % 13.50/2.73 | | (15) city(all_2_8) % 13.50/2.73 | | (16) event(all_2_7) % 13.50/2.73 | | (17) street(all_2_5) % 13.50/2.73 | | (18) way(all_2_5) % 13.50/2.73 | | (19) lonely(all_2_5) % 13.50/2.73 | | (20) chevy(all_2_6) % 13.50/2.73 | | (21) car(all_2_6) % 13.50/2.73 | | (22) white(all_2_6) % 13.50/2.73 | | (23) dirty(all_2_6) % 13.50/2.73 | | (24) old(all_2_6) % 13.50/2.73 | | (25) barrel(all_2_7, all_2_6) % 13.50/2.73 | | (26) down(all_2_7, all_2_5) % 13.50/2.73 | | (27) in(all_2_7, all_2_8) % 13.50/2.73 | | (28) in(all_2_4, all_2_2) % 13.50/2.73 | | (29) in(all_2_3, all_2_2) % 13.50/2.73 | | (30) seat(all_2_2) % 13.50/2.73 | | (31) furniture(all_2_2) % 13.50/2.73 | | (32) front(all_2_2) % 13.50/2.73 | | (33) fellow(all_2_4) % 13.50/2.73 | | (34) fellow(all_2_3) % 13.50/2.73 | | (35) man(all_2_4) % 13.50/2.73 | | (36) man(all_2_3) % 13.50/2.73 | | (37) young(all_2_4) % 13.50/2.73 | | (38) young(all_2_3) % 13.50/2.73 | | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 13.50/2.73 | | : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ $i(v6) | ~ $i(v5) | ~ % 13.50/2.73 | | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 13.50/2.73 | | young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) % 13.50/2.73 | | | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | % 13.50/2.73 | | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v2) | % 13.50/2.73 | | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ % 13.50/2.73 | | car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ % 13.50/2.73 | | street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)) % 13.50/2.73 | | % 13.60/2.73 | | REDUCE: (8), (12) imply: % 13.60/2.73 | | (40) $i(all_2_3) % 13.60/2.73 | | % 13.60/2.73 | | REDUCE: (7), (11) imply: % 13.60/2.73 | | (41) $i(all_2_4) % 13.60/2.73 | | % 13.60/2.74 | | GROUND_INST: instantiating (39) with all_2_8, all_2_7, all_2_5, all_2_6, % 13.60/2.74 | | all_2_4, all_2_3, all_2_2, simplifying with (2), (3), (4), (5), % 13.60/2.74 | | (6), (14), (15), (16), (17), (18), (19), (20), (21), (22), % 13.60/2.74 | | (23), (24), (25), (26), (27), (28), (29), (30), (31), (32), % 13.60/2.74 | | (33), (34), (35), (36), (37), (38), (40), (41) gives: % 13.60/2.74 | | (42) all_2_3 = all_2_4 % 13.60/2.74 | | % 13.60/2.74 | | REDUCE: (13), (42) imply: % 13.60/2.74 | | (43) $false % 13.60/2.74 | | % 13.60/2.74 | | CLOSE: (43) is inconsistent. % 13.60/2.74 | | % 13.60/2.74 | Case 2: % 13.60/2.74 | | % 13.60/2.74 | | (44) all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.60/2.74 | | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.60/2.74 | | fellow(all_2_3) & fellow(all_2_4) & front(all_2_2) & % 13.60/2.74 | | furniture(all_2_2) & seat(all_2_2) & in(all_2_3, all_2_2) & % 13.60/2.74 | | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, all_2_6) % 13.60/2.74 | | & barrel(all_2_7, all_2_5) & old(all_2_5) & dirty(all_2_5) & % 13.60/2.74 | | white(all_2_5) & car(all_2_5) & chevy(all_2_5) & lonely(all_2_6) & % 13.60/2.74 | | way(all_2_6) & street(all_2_6) & event(all_2_7) & city(all_2_8) & % 13.60/2.74 | | hollywood(all_2_8) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.60/2.74 | | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ % 13.60/2.74 | | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 13.60/2.74 | | | ~ $i(v0) | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ % 13.60/2.74 | | man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ % 13.60/2.74 | | furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ % 13.60/2.74 | | in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ % 13.60/2.74 | | dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ % 13.60/2.74 | | lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ % 13.60/2.74 | | city(v0) | ~ hollywood(v0)) % 13.60/2.74 | | % 13.60/2.74 | | ALPHA: (44) implies: % 13.60/2.74 | | (45) all_2_1 = all_2_4 % 13.60/2.74 | | (46) all_2_0 = all_2_3 % 13.60/2.74 | | (47) ~ (all_2_3 = all_2_4) % 13.60/2.74 | | (48) hollywood(all_2_8) % 13.60/2.74 | | (49) city(all_2_8) % 13.60/2.75 | | (50) event(all_2_7) % 13.60/2.75 | | (51) street(all_2_6) % 13.60/2.75 | | (52) way(all_2_6) % 13.60/2.75 | | (53) lonely(all_2_6) % 13.60/2.75 | | (54) chevy(all_2_5) % 13.60/2.75 | | (55) car(all_2_5) % 13.60/2.75 | | (56) white(all_2_5) % 13.60/2.75 | | (57) dirty(all_2_5) % 13.60/2.75 | | (58) old(all_2_5) % 13.60/2.75 | | (59) barrel(all_2_7, all_2_5) % 13.60/2.75 | | (60) down(all_2_7, all_2_6) % 13.60/2.75 | | (61) in(all_2_7, all_2_8) % 13.60/2.75 | | (62) in(all_2_4, all_2_2) % 13.60/2.75 | | (63) in(all_2_3, all_2_2) % 13.60/2.75 | | (64) seat(all_2_2) % 13.60/2.75 | | (65) furniture(all_2_2) % 13.60/2.75 | | (66) front(all_2_2) % 13.60/2.75 | | (67) fellow(all_2_4) % 13.60/2.75 | | (68) fellow(all_2_3) % 13.60/2.75 | | (69) man(all_2_4) % 13.60/2.75 | | (70) man(all_2_3) % 13.60/2.75 | | (71) young(all_2_4) % 13.60/2.75 | | (72) young(all_2_3) % 13.60/2.75 | | (73) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 13.60/2.75 | | : ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ $i(v6) | ~ $i(v5) | ~ % 13.60/2.75 | | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 13.60/2.75 | | young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) % 13.60/2.75 | | | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | % 13.60/2.75 | | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v3) | % 13.60/2.75 | | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ % 13.60/2.75 | | car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ % 13.60/2.75 | | street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)) % 13.60/2.75 | | % 13.60/2.75 | | REDUCE: (8), (46) imply: % 13.60/2.75 | | (74) $i(all_2_3) % 13.60/2.75 | | % 13.60/2.75 | | REDUCE: (7), (45) imply: % 13.60/2.75 | | (75) $i(all_2_4) % 13.60/2.75 | | % 13.60/2.75 | | GROUND_INST: instantiating (73) with all_2_8, all_2_7, all_2_5, all_2_6, % 13.60/2.75 | | all_2_4, all_2_3, all_2_2, simplifying with (2), (3), (4), (5), % 13.60/2.75 | | (6), (48), (49), (50), (51), (52), (53), (54), (55), (56), % 13.60/2.75 | | (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), % 13.60/2.75 | | (67), (68), (69), (70), (71), (72), (74), (75) gives: % 13.60/2.75 | | (76) all_2_3 = all_2_4 % 13.60/2.75 | | % 13.60/2.75 | | REDUCE: (47), (76) imply: % 13.60/2.75 | | (77) $false % 13.60/2.76 | | % 13.60/2.76 | | CLOSE: (77) is inconsistent. % 13.60/2.76 | | % 13.60/2.76 | End of split % 13.60/2.76 | % 13.60/2.76 End of proof % 13.60/2.76 % SZS output end Proof for theBenchmark % 13.60/2.76 % 13.60/2.76 2150ms %------------------------------------------------------------------------------