%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NLP004+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 : n015.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 10:03:16 EDT 2023 % Result : Theorem 6.98s 1.69s % Output : Proof 14.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NLP004+1 : TPTP v8.1.2. Released v2.4.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.33 % Computer : n015.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Thu Aug 24 11:52:06 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.64 ________ _____ % 0.20/0.64 ___ __ \_________(_)________________________________ % 0.20/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.64 % 0.20/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.64 (2023-06-19) % 0.20/0.64 % 0.20/0.64 (c) Philipp Rümmer, 2009-2023 % 0.20/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.64 Amanda Stjerna. % 0.20/0.64 Free software under BSD-3-Clause. % 0.20/0.64 % 0.20/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.64 % 0.20/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.66 Running up to 7 provers in parallel. % 0.20/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.12/1.06 Prover 4: Preprocessing ... % 2.12/1.07 Prover 1: Preprocessing ... % 2.76/1.11 Prover 5: Preprocessing ... % 2.76/1.11 Prover 6: Preprocessing ... % 2.76/1.11 Prover 3: Preprocessing ... % 2.76/1.11 Prover 2: Preprocessing ... % 2.93/1.12 Prover 0: Preprocessing ... % 4.27/1.32 Prover 5: Constructing countermodel ... % 4.27/1.33 Prover 2: Constructing countermodel ... % 4.27/1.45 Prover 6: Proving ... % 5.81/1.54 Prover 1: Constructing countermodel ... % 5.81/1.56 Prover 3: Constructing countermodel ... % 6.98/1.69 Prover 5: proved (1005ms) % 6.98/1.69 % 6.98/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.98/1.69 % 6.98/1.70 Prover 3: stopped % 6.98/1.70 Prover 2: stopped % 6.98/1.71 Prover 6: stopped % 6.98/1.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.98/1.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.98/1.72 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.98/1.72 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.98/1.74 Prover 8: Preprocessing ... % 6.98/1.76 Prover 7: Preprocessing ... % 7.65/1.79 Prover 10: Preprocessing ... % 7.65/1.80 Prover 11: Preprocessing ... % 7.89/1.85 Prover 10: Constructing countermodel ... % 7.89/1.86 Prover 7: Constructing countermodel ... % 8.61/1.92 Prover 8: Warning: ignoring some quantifiers % 8.61/1.93 Prover 8: Constructing countermodel ... % 8.61/1.99 Prover 10: Found proof (size 15) % 8.61/1.99 Prover 7: Found proof (size 15) % 8.61/1.99 Prover 10: proved (273ms) % 8.61/1.99 Prover 7: proved (293ms) % 8.61/2.00 Prover 8: stopped % 8.61/2.00 Prover 1: stopped % 13.05/2.61 Prover 0: stopped % 13.43/2.70 Prover 11: stopped % 13.43/2.80 Prover 4: stopped % 13.43/2.80 % 13.43/2.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.43/2.80 % 13.43/2.81 % SZS output start Proof for theBenchmark % 13.43/2.82 Assumptions after simplification: % 13.43/2.82 --------------------------------- % 13.43/2.82 % 13.43/2.82 (co1) % 13.43/2.85 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 13.43/2.85 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) & % 13.43/2.85 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 13.43/2.85 $i(v0) & ((v9 = v7 & v8 = v6 & ~ (v7 = v6) & young(v7) & young(v6) & % 13.43/2.85 man(v7) & man(v6) & fellow(v7) & fellow(v6) & in(v7, v1) & in(v6, v0) & % 13.43/2.85 in(v3, v2) & down(v3, v5) & barrel(v3, v4) & old(v4) & dirty(v4) & % 13.43/2.85 white(v4) & car(v4) & chevy(v4) & lonely(v5) & way(v5) & street(v5) & % 13.43/2.85 event(v3) & city(v2) & hollywood(v2) & front(v1) & front(v0) & % 13.43/2.85 furniture(v1) & furniture(v0) & seat(v1) & seat(v0) & ! [v10: $i] : ! % 13.43/2.85 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : % 13.43/2.85 ! [v16: $i] : ! [v17: $i] : (v17 = v16 | ~ $i(v17) | ~ $i(v16) | ~ % 13.43/2.85 $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ % 13.43/2.85 $i(v10) | ~ young(v17) | ~ young(v16) | ~ man(v17) | ~ man(v16) | % 13.43/2.85 ~ fellow(v17) | ~ fellow(v16) | ~ in(v17, v11) | ~ in(v16, v10) | % 13.43/2.85 ~ in(v13, v12) | ~ down(v13, v14) | ~ barrel(v13, v15) | ~ old(v15) % 13.43/2.85 | ~ dirty(v15) | ~ white(v15) | ~ car(v15) | ~ chevy(v15) | ~ % 13.43/2.85 lonely(v14) | ~ way(v14) | ~ street(v14) | ~ event(v13) | ~ % 13.43/2.85 city(v12) | ~ hollywood(v12) | ~ front(v11) | ~ front(v10) | ~ % 13.43/2.85 furniture(v11) | ~ furniture(v10) | ~ seat(v11) | ~ seat(v10))) | % 13.43/2.85 (v9 = v7 & v8 = v6 & ~ (v7 = v6) & young(v7) & young(v6) & man(v7) & % 13.43/2.85 man(v6) & fellow(v7) & fellow(v6) & in(v7, v1) & in(v6, v0) & in(v3, v2) % 13.43/2.85 & down(v3, v4) & barrel(v3, v5) & old(v5) & dirty(v5) & white(v5) & % 13.43/2.85 car(v5) & chevy(v5) & lonely(v4) & way(v4) & street(v4) & event(v3) & % 13.43/2.85 city(v2) & hollywood(v2) & front(v1) & front(v0) & furniture(v1) & % 13.43/2.85 furniture(v0) & seat(v1) & seat(v0) & ! [v10: $i] : ! [v11: $i] : ! % 13.43/2.85 [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : % 13.43/2.85 ! [v17: $i] : (v17 = v16 | ~ $i(v17) | ~ $i(v16) | ~ $i(v15) | ~ % 13.43/2.85 $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ $i(v10) | ~ % 13.43/2.85 young(v17) | ~ young(v16) | ~ man(v17) | ~ man(v16) | ~ % 13.43/2.85 fellow(v17) | ~ fellow(v16) | ~ in(v17, v11) | ~ in(v16, v10) | ~ % 13.43/2.85 in(v13, v12) | ~ down(v13, v15) | ~ barrel(v13, v14) | ~ old(v14) | % 13.43/2.85 ~ dirty(v14) | ~ white(v14) | ~ car(v14) | ~ chevy(v14) | ~ % 13.43/2.85 lonely(v15) | ~ way(v15) | ~ street(v15) | ~ event(v13) | ~ % 13.43/2.85 city(v12) | ~ hollywood(v12) | ~ front(v11) | ~ front(v10) | ~ % 13.43/2.85 furniture(v11) | ~ furniture(v10) | ~ seat(v11) | ~ seat(v10))))) % 13.43/2.85 % 13.43/2.85 Those formulas are unsatisfiable: % 13.43/2.85 --------------------------------- % 13.43/2.85 % 13.43/2.85 Begin of proof % 13.43/2.86 | % 13.43/2.86 | DELTA: instantiating (co1) with fresh symbols all_2_0, all_2_1, all_2_2, % 13.43/2.86 | all_2_3, all_2_4, all_2_5, all_2_6, all_2_7, all_2_8, all_2_9 gives: % 13.43/2.87 | (1) $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) & % 13.43/2.87 | $i(all_2_5) & $i(all_2_6) & $i(all_2_7) & $i(all_2_8) & $i(all_2_9) & % 13.43/2.87 | ((all_2_0 = all_2_2 & all_2_1 = all_2_3 & ~ (all_2_2 = all_2_3) & % 13.43/2.87 | young(all_2_2) & young(all_2_3) & man(all_2_2) & man(all_2_3) & % 13.43/2.87 | fellow(all_2_2) & fellow(all_2_3) & in(all_2_2, all_2_8) & % 13.43/2.87 | in(all_2_3, all_2_9) & in(all_2_6, all_2_7) & down(all_2_6, % 13.43/2.87 | all_2_4) & barrel(all_2_6, all_2_5) & old(all_2_5) & % 13.43/2.87 | dirty(all_2_5) & white(all_2_5) & car(all_2_5) & chevy(all_2_5) & % 13.43/2.87 | lonely(all_2_4) & way(all_2_4) & street(all_2_4) & event(all_2_6) & % 13.43/2.87 | city(all_2_7) & hollywood(all_2_7) & front(all_2_8) & % 13.43/2.87 | front(all_2_9) & furniture(all_2_8) & furniture(all_2_9) & % 13.43/2.87 | seat(all_2_8) & seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 13.43/2.87 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 13.43/2.87 | [v7: $i] : (v7 = v6 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 13.43/2.87 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v7) | % 13.43/2.87 | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ % 13.43/2.87 | fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ % 13.43/2.87 | down(v3, v4) | ~ barrel(v3, v5) | ~ old(v5) | ~ dirty(v5) | ~ % 13.43/2.87 | white(v5) | ~ car(v5) | ~ chevy(v5) | ~ lonely(v4) | ~ % 13.43/2.87 | way(v4) | ~ street(v4) | ~ event(v3) | ~ city(v2) | ~ % 13.43/2.87 | hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | % 13.43/2.87 | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0))) | (all_2_0 = % 13.43/2.87 | all_2_2 & all_2_1 = all_2_3 & ~ (all_2_2 = all_2_3) & % 13.43/2.87 | young(all_2_2) & young(all_2_3) & man(all_2_2) & man(all_2_3) & % 13.43/2.87 | fellow(all_2_2) & fellow(all_2_3) & in(all_2_2, all_2_8) & % 13.43/2.87 | in(all_2_3, all_2_9) & in(all_2_6, all_2_7) & down(all_2_6, % 13.43/2.87 | all_2_5) & barrel(all_2_6, all_2_4) & old(all_2_4) & % 13.43/2.87 | dirty(all_2_4) & white(all_2_4) & car(all_2_4) & chevy(all_2_4) & % 13.43/2.87 | lonely(all_2_5) & way(all_2_5) & street(all_2_5) & event(all_2_6) & % 13.43/2.87 | city(all_2_7) & hollywood(all_2_7) & front(all_2_8) & % 13.43/2.87 | front(all_2_9) & furniture(all_2_8) & furniture(all_2_9) & % 13.43/2.87 | seat(all_2_8) & seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 13.43/2.87 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 13.43/2.87 | [v7: $i] : (v7 = v6 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 13.43/2.87 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v7) | % 13.43/2.87 | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ % 13.43/2.87 | fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ % 13.43/2.87 | down(v3, v5) | ~ barrel(v3, v4) | ~ old(v4) | ~ dirty(v4) | ~ % 13.43/2.87 | white(v4) | ~ car(v4) | ~ chevy(v4) | ~ lonely(v5) | ~ % 13.43/2.87 | way(v5) | ~ street(v5) | ~ event(v3) | ~ city(v2) | ~ % 13.43/2.87 | hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | % 13.43/2.87 | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0)))) % 13.43/2.87 | % 13.43/2.87 | ALPHA: (1) implies: % 13.43/2.88 | (2) $i(all_2_9) % 13.43/2.88 | (3) $i(all_2_8) % 13.43/2.88 | (4) $i(all_2_7) % 13.43/2.88 | (5) $i(all_2_6) % 13.43/2.88 | (6) $i(all_2_5) % 13.43/2.88 | (7) $i(all_2_4) % 13.43/2.88 | (8) $i(all_2_1) % 13.43/2.88 | (9) $i(all_2_0) % 13.43/2.89 | (10) (all_2_0 = all_2_2 & all_2_1 = all_2_3 & ~ (all_2_2 = all_2_3) & % 13.43/2.89 | young(all_2_2) & young(all_2_3) & man(all_2_2) & man(all_2_3) & % 13.43/2.89 | fellow(all_2_2) & fellow(all_2_3) & in(all_2_2, all_2_8) & % 13.43/2.89 | in(all_2_3, all_2_9) & in(all_2_6, all_2_7) & down(all_2_6, all_2_4) % 13.43/2.89 | & barrel(all_2_6, all_2_5) & old(all_2_5) & dirty(all_2_5) & % 13.43/2.89 | white(all_2_5) & car(all_2_5) & chevy(all_2_5) & lonely(all_2_4) & % 13.43/2.89 | way(all_2_4) & street(all_2_4) & event(all_2_6) & city(all_2_7) & % 13.43/2.89 | hollywood(all_2_7) & front(all_2_8) & front(all_2_9) & % 13.43/2.89 | furniture(all_2_8) & furniture(all_2_9) & seat(all_2_8) & % 13.43/2.89 | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.43/2.89 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 % 13.43/2.89 | = v6 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.43/2.89 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v7) | ~ young(v6) | % 13.43/2.89 | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, % 13.87/2.89 | v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v4) | ~ % 13.87/2.89 | barrel(v3, v5) | ~ old(v5) | ~ dirty(v5) | ~ white(v5) | ~ % 13.87/2.89 | car(v5) | ~ chevy(v5) | ~ lonely(v4) | ~ way(v4) | ~ % 13.87/2.89 | street(v4) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ % 13.87/2.89 | front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | % 13.87/2.89 | ~ seat(v1) | ~ seat(v0))) | (all_2_0 = all_2_2 & all_2_1 = % 13.87/2.89 | all_2_3 & ~ (all_2_2 = all_2_3) & young(all_2_2) & young(all_2_3) & % 13.87/2.89 | man(all_2_2) & man(all_2_3) & fellow(all_2_2) & fellow(all_2_3) & % 13.87/2.89 | in(all_2_2, all_2_8) & in(all_2_3, all_2_9) & in(all_2_6, all_2_7) & % 13.87/2.89 | down(all_2_6, all_2_5) & barrel(all_2_6, all_2_4) & old(all_2_4) & % 13.87/2.89 | dirty(all_2_4) & white(all_2_4) & car(all_2_4) & chevy(all_2_4) & % 13.87/2.89 | lonely(all_2_5) & way(all_2_5) & street(all_2_5) & event(all_2_6) & % 13.87/2.89 | city(all_2_7) & hollywood(all_2_7) & front(all_2_8) & front(all_2_9) % 13.87/2.89 | & furniture(all_2_8) & furniture(all_2_9) & seat(all_2_8) & % 13.87/2.89 | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.87/2.89 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 % 13.87/2.89 | = v6 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.87/2.89 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v7) | ~ young(v6) | % 13.87/2.89 | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, % 13.87/2.89 | v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v5) | ~ % 13.87/2.89 | barrel(v3, v4) | ~ old(v4) | ~ dirty(v4) | ~ white(v4) | ~ % 13.87/2.89 | car(v4) | ~ chevy(v4) | ~ lonely(v5) | ~ way(v5) | ~ % 13.87/2.89 | street(v5) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ % 13.87/2.89 | front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | % 13.87/2.89 | ~ seat(v1) | ~ seat(v0))) % 13.87/2.89 | % 13.87/2.89 | BETA: splitting (10) gives: % 13.87/2.89 | % 13.87/2.89 | Case 1: % 13.87/2.89 | | % 13.87/2.89 | | (11) all_2_0 = all_2_2 & all_2_1 = all_2_3 & ~ (all_2_2 = all_2_3) & % 13.87/2.89 | | young(all_2_2) & young(all_2_3) & man(all_2_2) & man(all_2_3) & % 13.87/2.89 | | fellow(all_2_2) & fellow(all_2_3) & in(all_2_2, all_2_8) & % 13.87/2.89 | | in(all_2_3, all_2_9) & in(all_2_6, all_2_7) & down(all_2_6, all_2_4) % 13.87/2.89 | | & barrel(all_2_6, all_2_5) & old(all_2_5) & dirty(all_2_5) & % 13.87/2.89 | | white(all_2_5) & car(all_2_5) & chevy(all_2_5) & lonely(all_2_4) & % 13.87/2.89 | | way(all_2_4) & street(all_2_4) & event(all_2_6) & city(all_2_7) & % 13.87/2.90 | | hollywood(all_2_7) & front(all_2_8) & front(all_2_9) & % 13.87/2.90 | | furniture(all_2_8) & furniture(all_2_9) & seat(all_2_8) & % 13.87/2.90 | | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.87/2.90 | | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 % 13.87/2.90 | | = v6 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.87/2.90 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v7) | ~ young(v6) | % 13.87/2.90 | | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, % 13.87/2.90 | | v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v4) | ~ % 13.87/2.90 | | barrel(v3, v5) | ~ old(v5) | ~ dirty(v5) | ~ white(v5) | ~ % 13.87/2.90 | | car(v5) | ~ chevy(v5) | ~ lonely(v4) | ~ way(v4) | ~ % 13.87/2.90 | | street(v4) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ % 13.87/2.90 | | front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | % 13.87/2.90 | | ~ seat(v1) | ~ seat(v0)) % 13.87/2.90 | | % 13.87/2.90 | | ALPHA: (11) implies: % 13.87/2.90 | | (12) all_2_1 = all_2_3 % 13.87/2.90 | | (13) all_2_0 = all_2_2 % 13.87/2.90 | | (14) ~ (all_2_2 = all_2_3) % 13.87/2.90 | | (15) seat(all_2_9) % 13.87/2.90 | | (16) seat(all_2_8) % 13.87/2.90 | | (17) furniture(all_2_9) % 13.87/2.90 | | (18) furniture(all_2_8) % 13.87/2.90 | | (19) front(all_2_9) % 13.87/2.90 | | (20) front(all_2_8) % 13.87/2.90 | | (21) hollywood(all_2_7) % 13.87/2.90 | | (22) city(all_2_7) % 13.87/2.90 | | (23) event(all_2_6) % 13.87/2.90 | | (24) street(all_2_4) % 13.87/2.90 | | (25) way(all_2_4) % 13.87/2.90 | | (26) lonely(all_2_4) % 13.87/2.90 | | (27) chevy(all_2_5) % 13.87/2.90 | | (28) car(all_2_5) % 13.87/2.90 | | (29) white(all_2_5) % 13.87/2.90 | | (30) dirty(all_2_5) % 13.87/2.90 | | (31) old(all_2_5) % 13.87/2.90 | | (32) barrel(all_2_6, all_2_5) % 13.87/2.90 | | (33) down(all_2_6, all_2_4) % 13.87/2.90 | | (34) in(all_2_6, all_2_7) % 13.87/2.90 | | (35) in(all_2_3, all_2_9) % 13.87/2.90 | | (36) in(all_2_2, all_2_8) % 13.87/2.90 | | (37) fellow(all_2_3) % 13.87/2.90 | | (38) fellow(all_2_2) % 13.87/2.90 | | (39) man(all_2_3) % 13.87/2.90 | | (40) man(all_2_2) % 13.87/2.90 | | (41) young(all_2_3) % 13.87/2.90 | | (42) young(all_2_2) % 14.42/2.91 | | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 14.42/2.91 | | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 = v6 | ~ $i(v7) | % 14.42/2.91 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 14.42/2.91 | | $i(v1) | ~ $i(v0) | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ % 14.42/2.91 | | man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ % 14.42/2.91 | | in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v4) | ~ barrel(v3, v5) | % 14.42/2.91 | | ~ old(v5) | ~ dirty(v5) | ~ white(v5) | ~ car(v5) | ~ % 14.42/2.91 | | chevy(v5) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ % 14.42/2.91 | | event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ % 14.42/2.91 | | front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ % 14.42/2.91 | | seat(v0)) % 14.42/2.91 | | % 14.42/2.91 | | REDUCE: (9), (13) imply: % 14.42/2.91 | | (44) $i(all_2_2) % 14.42/2.91 | | % 14.42/2.91 | | REDUCE: (8), (12) imply: % 14.42/2.91 | | (45) $i(all_2_3) % 14.42/2.91 | | % 14.42/2.91 | | GROUND_INST: instantiating (43) with all_2_9, all_2_8, all_2_7, all_2_6, % 14.42/2.91 | | all_2_4, all_2_5, all_2_3, all_2_2, simplifying with (2), (3), % 14.42/2.91 | | (4), (5), (6), (7), (15), (16), (17), (18), (19), (20), (21), % 14.42/2.91 | | (22), (23), (24), (25), (26), (27), (28), (29), (30), (31), % 14.42/2.91 | | (32), (33), (34), (35), (36), (37), (38), (39), (40), (41), % 14.42/2.91 | | (42), (44), (45) gives: % 14.42/2.91 | | (46) all_2_2 = all_2_3 % 14.42/2.91 | | % 14.42/2.91 | | REDUCE: (14), (46) imply: % 14.42/2.91 | | (47) $false % 14.42/2.91 | | % 14.42/2.91 | | CLOSE: (47) is inconsistent. % 14.42/2.91 | | % 14.42/2.91 | Case 2: % 14.42/2.91 | | % 14.42/2.92 | | (48) all_2_0 = all_2_2 & all_2_1 = all_2_3 & ~ (all_2_2 = all_2_3) & % 14.42/2.92 | | young(all_2_2) & young(all_2_3) & man(all_2_2) & man(all_2_3) & % 14.42/2.92 | | fellow(all_2_2) & fellow(all_2_3) & in(all_2_2, all_2_8) & % 14.42/2.92 | | in(all_2_3, all_2_9) & in(all_2_6, all_2_7) & down(all_2_6, all_2_5) % 14.42/2.92 | | & barrel(all_2_6, all_2_4) & old(all_2_4) & dirty(all_2_4) & % 14.42/2.92 | | white(all_2_4) & car(all_2_4) & chevy(all_2_4) & lonely(all_2_5) & % 14.42/2.92 | | way(all_2_5) & street(all_2_5) & event(all_2_6) & city(all_2_7) & % 14.42/2.92 | | hollywood(all_2_7) & front(all_2_8) & front(all_2_9) & % 14.42/2.92 | | furniture(all_2_8) & furniture(all_2_9) & seat(all_2_8) & % 14.42/2.92 | | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 14.42/2.92 | | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 % 14.42/2.92 | | = v6 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 14.42/2.92 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v7) | ~ young(v6) | % 14.42/2.92 | | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, % 14.42/2.92 | | v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v5) | ~ % 14.42/2.92 | | barrel(v3, v4) | ~ old(v4) | ~ dirty(v4) | ~ white(v4) | ~ % 14.42/2.92 | | car(v4) | ~ chevy(v4) | ~ lonely(v5) | ~ way(v5) | ~ % 14.42/2.92 | | street(v5) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ % 14.42/2.92 | | front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | % 14.42/2.92 | | ~ seat(v1) | ~ seat(v0)) % 14.42/2.92 | | % 14.42/2.92 | | ALPHA: (48) implies: % 14.42/2.92 | | (49) all_2_1 = all_2_3 % 14.42/2.92 | | (50) all_2_0 = all_2_2 % 14.42/2.92 | | (51) ~ (all_2_2 = all_2_3) % 14.42/2.92 | | (52) seat(all_2_9) % 14.42/2.92 | | (53) seat(all_2_8) % 14.42/2.92 | | (54) furniture(all_2_9) % 14.42/2.92 | | (55) furniture(all_2_8) % 14.42/2.92 | | (56) front(all_2_9) % 14.42/2.92 | | (57) front(all_2_8) % 14.42/2.92 | | (58) hollywood(all_2_7) % 14.42/2.92 | | (59) city(all_2_7) % 14.42/2.92 | | (60) event(all_2_6) % 14.42/2.92 | | (61) street(all_2_5) % 14.42/2.92 | | (62) way(all_2_5) % 14.42/2.92 | | (63) lonely(all_2_5) % 14.42/2.92 | | (64) chevy(all_2_4) % 14.42/2.92 | | (65) car(all_2_4) % 14.42/2.92 | | (66) white(all_2_4) % 14.42/2.92 | | (67) dirty(all_2_4) % 14.42/2.92 | | (68) old(all_2_4) % 14.42/2.92 | | (69) barrel(all_2_6, all_2_4) % 14.42/2.92 | | (70) down(all_2_6, all_2_5) % 14.42/2.92 | | (71) in(all_2_6, all_2_7) % 14.42/2.92 | | (72) in(all_2_3, all_2_9) % 14.42/2.92 | | (73) in(all_2_2, all_2_8) % 14.42/2.92 | | (74) fellow(all_2_3) % 14.42/2.92 | | (75) fellow(all_2_2) % 14.42/2.92 | | (76) man(all_2_3) % 14.42/2.92 | | (77) man(all_2_2) % 14.42/2.92 | | (78) young(all_2_3) % 14.42/2.92 | | (79) young(all_2_2) % 14.42/2.92 | | (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 14.42/2.92 | | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 = v6 | ~ $i(v7) | % 14.42/2.92 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 14.42/2.92 | | $i(v1) | ~ $i(v0) | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ % 14.42/2.92 | | man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ % 14.42/2.92 | | in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v5) | ~ barrel(v3, v4) | % 14.42/2.92 | | ~ old(v4) | ~ dirty(v4) | ~ white(v4) | ~ car(v4) | ~ % 14.42/2.92 | | chevy(v4) | ~ lonely(v5) | ~ way(v5) | ~ street(v5) | ~ % 14.42/2.92 | | event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ % 14.42/2.92 | | front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ % 14.42/2.92 | | seat(v0)) % 14.42/2.92 | | % 14.42/2.92 | | REDUCE: (9), (50) imply: % 14.42/2.92 | | (81) $i(all_2_2) % 14.42/2.92 | | % 14.42/2.92 | | REDUCE: (8), (49) imply: % 14.42/2.92 | | (82) $i(all_2_3) % 14.42/2.92 | | % 14.42/2.93 | | GROUND_INST: instantiating (80) with all_2_9, all_2_8, all_2_7, all_2_6, % 14.42/2.93 | | all_2_4, all_2_5, all_2_3, all_2_2, simplifying with (2), (3), % 14.42/2.93 | | (4), (5), (6), (7), (52), (53), (54), (55), (56), (57), (58), % 14.42/2.93 | | (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), % 14.42/2.93 | | (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), % 14.42/2.93 | | (79), (81), (82) gives: % 14.42/2.93 | | (83) all_2_2 = all_2_3 % 14.42/2.93 | | % 14.42/2.93 | | REDUCE: (51), (83) imply: % 14.42/2.93 | | (84) $false % 14.42/2.93 | | % 14.42/2.93 | | CLOSE: (84) is inconsistent. % 14.42/2.93 | | % 14.42/2.93 | End of split % 14.42/2.93 | % 14.42/2.93 End of proof % 14.42/2.93 % SZS output end Proof for theBenchmark % 14.42/2.93 % 14.42/2.93 2290ms %------------------------------------------------------------------------------