%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NLP007+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 : n006.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 10:03:17 EDT 2023 % Result : Theorem 6.57s 1.67s % Output : Proof 13.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP007+1 : TPTP v8.1.2. Released v2.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n006.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Aug 24 11:02:37 EDT 2023 % 0.13/0.34 % 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, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.46/1.03 Prover 1: Preprocessing ... % 2.46/1.03 Prover 4: Preprocessing ... % 2.46/1.07 Prover 6: Preprocessing ... % 2.46/1.07 Prover 5: Preprocessing ... % 2.46/1.07 Prover 3: Preprocessing ... % 2.46/1.07 Prover 2: Preprocessing ... % 2.46/1.08 Prover 0: Preprocessing ... % 4.45/1.38 Prover 2: Constructing countermodel ... % 4.45/1.39 Prover 5: Constructing countermodel ... % 5.48/1.56 Prover 6: Proving ... % 5.48/1.56 Prover 3: Constructing countermodel ... % 6.51/1.61 Prover 1: Constructing countermodel ... % 6.57/1.67 Prover 2: proved (1038ms) % 6.57/1.67 Prover 5: proved (1039ms) % 6.57/1.67 % 6.57/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.57/1.67 % 6.57/1.67 % 6.57/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.57/1.67 % 6.57/1.68 Prover 3: stopped % 6.57/1.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.57/1.69 Prover 6: stopped % 6.57/1.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.57/1.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.57/1.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.24/1.72 Prover 7: Preprocessing ... % 7.24/1.73 Prover 8: Preprocessing ... % 7.24/1.74 Prover 10: Preprocessing ... % 7.24/1.76 Prover 11: Preprocessing ... % 7.24/1.78 Prover 7: Constructing countermodel ... % 7.86/1.79 Prover 10: Constructing countermodel ... % 8.60/1.89 Prover 10: Found proof (size 15) % 8.60/1.89 Prover 10: proved (199ms) % 8.60/1.89 Prover 7: stopped % 8.60/1.90 Prover 1: stopped % 8.79/1.94 Prover 8: Warning: ignoring some quantifiers % 8.79/1.94 Prover 8: Constructing countermodel ... % 8.79/1.95 Prover 8: stopped % 12.95/2.60 Prover 4: stopped % 13.06/2.63 Prover 0: stopped % 13.06/2.65 Prover 11: stopped % 13.06/2.65 % 13.06/2.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.06/2.65 % 13.06/2.66 % SZS output start Proof for theBenchmark % 13.06/2.66 Assumptions after simplification: % 13.06/2.66 --------------------------------- % 13.06/2.66 % 13.06/2.66 (co1) % 13.06/2.69 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 13.06/2.69 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) & % 13.06/2.69 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 13.06/2.69 $i(v0) & ((v9 = v6 & v8 = v5 & ~ (v6 = v5) & young(v6) & young(v5) & % 13.06/2.69 man(v6) & man(v5) & fellow(v6) & fellow(v5) & in(v6, v7) & in(v5, v0) & % 13.06/2.69 in(v2, v1) & down(v2, v4) & barrel(v2, v3) & lonely(v4) & way(v4) & % 13.06/2.69 street(v4) & old(v3) & dirty(v3) & white(v3) & car(v3) & chevy(v3) & % 13.06/2.69 event(v2) & city(v1) & hollywood(v1) & front(v7) & front(v0) & % 13.06/2.69 furniture(v7) & furniture(v0) & seat(v7) & seat(v0) & ! [v10: $i] : ! % 13.06/2.69 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : % 13.06/2.69 ! [v16: $i] : ! [v17: $i] : (v16 = v15 | ~ $i(v17) | ~ $i(v16) | ~ % 13.06/2.69 $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ % 13.06/2.69 $i(v10) | ~ young(v16) | ~ young(v15) | ~ man(v16) | ~ man(v15) | % 13.06/2.69 ~ fellow(v16) | ~ fellow(v15) | ~ in(v16, v10) | ~ in(v15, v17) | % 13.06/2.69 ~ in(v12, v11) | ~ down(v12, v14) | ~ barrel(v12, v13) | ~ % 13.06/2.69 lonely(v14) | ~ way(v14) | ~ street(v14) | ~ old(v13) | ~ % 13.06/2.69 dirty(v13) | ~ white(v13) | ~ car(v13) | ~ chevy(v13) | ~ % 13.06/2.69 event(v12) | ~ city(v11) | ~ hollywood(v11) | ~ front(v17) | ~ % 13.06/2.69 front(v10) | ~ furniture(v17) | ~ furniture(v10) | ~ seat(v17) | ~ % 13.06/2.69 seat(v10))) | (v9 = v6 & v8 = v5 & ~ (v6 = v5) & young(v6) & % 13.06/2.69 young(v5) & man(v6) & man(v5) & fellow(v6) & fellow(v5) & in(v6, v0) & % 13.06/2.69 in(v5, v7) & in(v2, v1) & down(v2, v4) & barrel(v2, v3) & lonely(v4) & % 13.06/2.69 way(v4) & street(v4) & old(v3) & dirty(v3) & white(v3) & car(v3) & % 13.06/2.69 chevy(v3) & event(v2) & city(v1) & hollywood(v1) & front(v7) & front(v0) % 13.06/2.69 & furniture(v7) & furniture(v0) & seat(v7) & seat(v0) & ! [v10: $i] : % 13.06/2.69 ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] % 13.06/2.69 : ! [v16: $i] : ! [v17: $i] : (v16 = v15 | ~ $i(v17) | ~ $i(v16) | % 13.06/2.69 ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ % 13.06/2.69 $i(v10) | ~ young(v16) | ~ young(v15) | ~ man(v16) | ~ man(v15) | % 13.06/2.69 ~ fellow(v16) | ~ fellow(v15) | ~ in(v16, v17) | ~ in(v15, v10) | % 13.06/2.69 ~ in(v12, v11) | ~ down(v12, v14) | ~ barrel(v12, v13) | ~ % 13.06/2.69 lonely(v14) | ~ way(v14) | ~ street(v14) | ~ old(v13) | ~ % 13.06/2.69 dirty(v13) | ~ white(v13) | ~ car(v13) | ~ chevy(v13) | ~ % 13.06/2.69 event(v12) | ~ city(v11) | ~ hollywood(v11) | ~ front(v17) | ~ % 13.06/2.69 front(v10) | ~ furniture(v17) | ~ furniture(v10) | ~ seat(v17) | ~ % 13.06/2.69 seat(v10))))) % 13.06/2.69 % 13.06/2.69 Those formulas are unsatisfiable: % 13.06/2.69 --------------------------------- % 13.06/2.69 % 13.06/2.69 Begin of proof % 13.06/2.69 | % 13.06/2.69 | DELTA: instantiating (co1) with fresh symbols all_2_0, all_2_1, all_2_2, % 13.06/2.69 | all_2_3, all_2_4, all_2_5, all_2_6, all_2_7, all_2_8, all_2_9 gives: % 13.06/2.70 | (1) $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) & % 13.06/2.70 | $i(all_2_5) & $i(all_2_6) & $i(all_2_7) & $i(all_2_8) & $i(all_2_9) & % 13.06/2.70 | ((all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.06/2.70 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.06/2.70 | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_2) & % 13.06/2.70 | in(all_2_4, all_2_9) & in(all_2_7, all_2_8) & down(all_2_7, % 13.06/2.70 | all_2_5) & barrel(all_2_7, all_2_6) & lonely(all_2_5) & % 13.06/2.70 | way(all_2_5) & street(all_2_5) & old(all_2_6) & dirty(all_2_6) & % 13.06/2.71 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & event(all_2_7) & % 13.06/2.71 | city(all_2_8) & hollywood(all_2_8) & front(all_2_2) & % 13.06/2.71 | front(all_2_9) & furniture(all_2_2) & furniture(all_2_9) & % 13.06/2.71 | seat(all_2_2) & seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 13.06/2.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 13.06/2.71 | [v7: $i] : (v6 = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 13.06/2.71 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | % 13.06/2.71 | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ % 13.06/2.71 | fellow(v5) | ~ in(v6, v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ % 13.06/2.71 | down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | % 13.06/2.71 | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ % 13.06/2.71 | car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ % 13.06/2.71 | hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | % 13.06/2.71 | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))) | (all_2_0 = % 13.06/2.71 | all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.06/2.71 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.06/2.71 | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_9) & % 13.06/2.71 | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, % 13.06/2.71 | all_2_5) & barrel(all_2_7, all_2_6) & lonely(all_2_5) & % 13.06/2.71 | way(all_2_5) & street(all_2_5) & old(all_2_6) & dirty(all_2_6) & % 13.06/2.71 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & event(all_2_7) & % 13.06/2.71 | city(all_2_8) & hollywood(all_2_8) & front(all_2_2) & % 13.06/2.71 | front(all_2_9) & furniture(all_2_2) & furniture(all_2_9) & % 13.06/2.71 | seat(all_2_2) & seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 13.06/2.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 13.06/2.71 | [v7: $i] : (v6 = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 13.06/2.71 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | % 13.06/2.71 | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ % 13.06/2.71 | fellow(v5) | ~ in(v6, v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ % 13.06/2.71 | down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | % 13.06/2.71 | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ % 13.06/2.71 | car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ % 13.06/2.71 | hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | % 13.06/2.71 | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0)))) % 13.06/2.71 | % 13.06/2.71 | ALPHA: (1) implies: % 13.06/2.71 | (2) $i(all_2_9) % 13.06/2.71 | (3) $i(all_2_8) % 13.06/2.71 | (4) $i(all_2_7) % 13.06/2.71 | (5) $i(all_2_6) % 13.06/2.71 | (6) $i(all_2_5) % 13.06/2.71 | (7) $i(all_2_2) % 13.06/2.71 | (8) $i(all_2_1) % 13.06/2.71 | (9) $i(all_2_0) % 13.42/2.72 | (10) (all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.42/2.72 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.42/2.72 | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_2) & % 13.42/2.72 | in(all_2_4, all_2_9) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5) % 13.42/2.72 | & barrel(all_2_7, all_2_6) & lonely(all_2_5) & way(all_2_5) & % 13.42/2.72 | street(all_2_5) & old(all_2_6) & dirty(all_2_6) & white(all_2_6) & % 13.42/2.72 | car(all_2_6) & chevy(all_2_6) & event(all_2_7) & city(all_2_8) & % 13.42/2.72 | hollywood(all_2_8) & front(all_2_2) & front(all_2_9) & % 13.42/2.72 | furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) & % 13.42/2.72 | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.42/2.72 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 % 13.42/2.72 | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.42/2.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | % 13.42/2.72 | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, % 13.42/2.72 | v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ % 13.42/2.72 | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ % 13.42/2.72 | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) % 13.42/2.72 | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | % 13.42/2.72 | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | % 13.42/2.72 | ~ seat(v0))) | (all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ % 13.42/2.72 | (all_2_3 = all_2_4) & young(all_2_3) & young(all_2_4) & man(all_2_3) % 13.42/2.72 | & man(all_2_4) & fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, % 13.42/2.72 | all_2_9) & in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & % 13.42/2.72 | down(all_2_7, all_2_5) & barrel(all_2_7, all_2_6) & lonely(all_2_5) % 13.42/2.72 | & way(all_2_5) & street(all_2_5) & old(all_2_6) & dirty(all_2_6) & % 13.42/2.72 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & event(all_2_7) & % 13.42/2.72 | city(all_2_8) & hollywood(all_2_8) & front(all_2_2) & front(all_2_9) % 13.42/2.72 | & furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) & % 13.42/2.72 | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.42/2.72 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 % 13.42/2.72 | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.42/2.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | % 13.42/2.72 | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, % 13.42/2.72 | v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ % 13.42/2.72 | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ % 13.42/2.72 | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) % 13.42/2.72 | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | % 13.42/2.72 | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | % 13.42/2.72 | ~ seat(v0))) % 13.42/2.72 | % 13.42/2.72 | BETA: splitting (10) gives: % 13.42/2.72 | % 13.42/2.72 | Case 1: % 13.42/2.72 | | % 13.42/2.72 | | (11) all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.42/2.72 | | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.42/2.72 | | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_2) & % 13.42/2.72 | | in(all_2_4, all_2_9) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5) % 13.42/2.72 | | & barrel(all_2_7, all_2_6) & lonely(all_2_5) & way(all_2_5) & % 13.42/2.72 | | street(all_2_5) & old(all_2_6) & dirty(all_2_6) & white(all_2_6) & % 13.42/2.72 | | car(all_2_6) & chevy(all_2_6) & event(all_2_7) & city(all_2_8) & % 13.42/2.72 | | hollywood(all_2_8) & front(all_2_2) & front(all_2_9) & % 13.42/2.72 | | furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) & % 13.42/2.72 | | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.42/2.72 | | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 % 13.42/2.72 | | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.42/2.72 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | % 13.42/2.72 | | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, % 13.42/2.72 | | v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ % 13.42/2.72 | | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ % 13.42/2.72 | | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) % 13.42/2.72 | | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | % 13.42/2.72 | | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | % 13.42/2.72 | | ~ seat(v0)) % 13.42/2.72 | | % 13.42/2.72 | | ALPHA: (11) implies: % 13.42/2.72 | | (12) all_2_1 = all_2_4 % 13.42/2.72 | | (13) all_2_0 = all_2_3 % 13.42/2.72 | | (14) ~ (all_2_3 = all_2_4) % 13.42/2.72 | | (15) seat(all_2_9) % 13.42/2.72 | | (16) seat(all_2_2) % 13.42/2.72 | | (17) furniture(all_2_9) % 13.42/2.72 | | (18) furniture(all_2_2) % 13.42/2.72 | | (19) front(all_2_9) % 13.42/2.73 | | (20) front(all_2_2) % 13.42/2.73 | | (21) hollywood(all_2_8) % 13.42/2.73 | | (22) city(all_2_8) % 13.42/2.73 | | (23) event(all_2_7) % 13.42/2.73 | | (24) chevy(all_2_6) % 13.42/2.73 | | (25) car(all_2_6) % 13.42/2.73 | | (26) white(all_2_6) % 13.42/2.73 | | (27) dirty(all_2_6) % 13.42/2.73 | | (28) old(all_2_6) % 13.42/2.73 | | (29) street(all_2_5) % 13.42/2.73 | | (30) way(all_2_5) % 13.42/2.73 | | (31) lonely(all_2_5) % 13.42/2.73 | | (32) barrel(all_2_7, all_2_6) % 13.42/2.73 | | (33) down(all_2_7, all_2_5) % 13.42/2.73 | | (34) in(all_2_7, all_2_8) % 13.42/2.73 | | (35) in(all_2_4, all_2_9) % 13.42/2.73 | | (36) in(all_2_3, all_2_2) % 13.42/2.73 | | (37) fellow(all_2_4) % 13.42/2.73 | | (38) fellow(all_2_3) % 13.42/2.73 | | (39) man(all_2_4) % 13.42/2.73 | | (40) man(all_2_3) % 13.42/2.73 | | (41) young(all_2_4) % 13.42/2.73 | | (42) young(all_2_3) % 13.42/2.73 | | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 13.42/2.73 | | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 = v5 | ~ $i(v7) | % 13.42/2.73 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 13.42/2.73 | | $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ % 13.42/2.73 | | man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v0) | ~ % 13.42/2.73 | | in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | % 13.42/2.73 | | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ % 13.42/2.73 | | dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ % 13.42/2.73 | | event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ % 13.42/2.73 | | front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ % 13.42/2.73 | | seat(v0)) % 13.42/2.73 | | % 13.42/2.73 | | REDUCE: (9), (13) imply: % 13.42/2.73 | | (44) $i(all_2_3) % 13.42/2.73 | | % 13.42/2.73 | | REDUCE: (8), (12) imply: % 13.42/2.73 | | (45) $i(all_2_4) % 13.42/2.73 | | % 13.42/2.74 | | GROUND_INST: instantiating (43) with all_2_2, all_2_8, all_2_7, all_2_6, % 13.42/2.74 | | all_2_5, all_2_4, all_2_3, all_2_9, simplifying with (2), (3), % 13.42/2.74 | | (4), (5), (6), (7), (15), (16), (17), (18), (19), (20), (21), % 13.42/2.74 | | (22), (23), (24), (25), (26), (27), (28), (29), (30), (31), % 13.42/2.74 | | (32), (33), (34), (35), (36), (37), (38), (39), (40), (41), % 13.42/2.74 | | (42), (44), (45) gives: % 13.42/2.74 | | (46) all_2_3 = all_2_4 % 13.42/2.74 | | % 13.42/2.74 | | REDUCE: (14), (46) imply: % 13.42/2.74 | | (47) $false % 13.42/2.74 | | % 13.42/2.74 | | CLOSE: (47) is inconsistent. % 13.42/2.74 | | % 13.42/2.74 | Case 2: % 13.42/2.74 | | % 13.42/2.74 | | (48) all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) & % 13.42/2.74 | | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) & % 13.42/2.74 | | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_9) & % 13.42/2.74 | | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5) % 13.42/2.74 | | & barrel(all_2_7, all_2_6) & lonely(all_2_5) & way(all_2_5) & % 13.42/2.74 | | street(all_2_5) & old(all_2_6) & dirty(all_2_6) & white(all_2_6) & % 13.42/2.74 | | car(all_2_6) & chevy(all_2_6) & event(all_2_7) & city(all_2_8) & % 13.42/2.74 | | hollywood(all_2_8) & front(all_2_2) & front(all_2_9) & % 13.42/2.74 | | furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) & % 13.42/2.74 | | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 13.42/2.74 | | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 % 13.42/2.74 | | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 13.42/2.74 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | % 13.42/2.74 | | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, % 13.42/2.74 | | v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ % 13.42/2.74 | | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ % 13.42/2.74 | | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) % 13.42/2.74 | | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | % 13.42/2.74 | | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | % 13.42/2.74 | | ~ seat(v0)) % 13.42/2.74 | | % 13.42/2.74 | | ALPHA: (48) implies: % 13.42/2.74 | | (49) all_2_1 = all_2_4 % 13.42/2.74 | | (50) all_2_0 = all_2_3 % 13.42/2.74 | | (51) ~ (all_2_3 = all_2_4) % 13.42/2.74 | | (52) seat(all_2_9) % 13.42/2.74 | | (53) seat(all_2_2) % 13.42/2.74 | | (54) furniture(all_2_9) % 13.42/2.74 | | (55) furniture(all_2_2) % 13.42/2.74 | | (56) front(all_2_9) % 13.42/2.74 | | (57) front(all_2_2) % 13.42/2.74 | | (58) hollywood(all_2_8) % 13.42/2.74 | | (59) city(all_2_8) % 13.42/2.74 | | (60) event(all_2_7) % 13.42/2.74 | | (61) chevy(all_2_6) % 13.42/2.74 | | (62) car(all_2_6) % 13.42/2.74 | | (63) white(all_2_6) % 13.42/2.74 | | (64) dirty(all_2_6) % 13.42/2.74 | | (65) old(all_2_6) % 13.42/2.74 | | (66) street(all_2_5) % 13.42/2.74 | | (67) way(all_2_5) % 13.42/2.74 | | (68) lonely(all_2_5) % 13.42/2.75 | | (69) barrel(all_2_7, all_2_6) % 13.42/2.75 | | (70) down(all_2_7, all_2_5) % 13.42/2.75 | | (71) in(all_2_7, all_2_8) % 13.42/2.75 | | (72) in(all_2_4, all_2_2) % 13.42/2.75 | | (73) in(all_2_3, all_2_9) % 13.42/2.75 | | (74) fellow(all_2_4) % 13.42/2.75 | | (75) fellow(all_2_3) % 13.42/2.75 | | (76) man(all_2_4) % 13.42/2.75 | | (77) man(all_2_3) % 13.42/2.75 | | (78) young(all_2_4) % 13.42/2.75 | | (79) young(all_2_3) % 13.42/2.75 | | (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 13.42/2.75 | | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 = v5 | ~ $i(v7) | % 13.42/2.75 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 13.42/2.75 | | $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ % 13.42/2.75 | | man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v7) | ~ % 13.42/2.75 | | in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | % 13.42/2.75 | | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ % 13.42/2.75 | | dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ % 13.42/2.75 | | event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ % 13.42/2.75 | | front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ % 13.42/2.75 | | seat(v0)) % 13.42/2.75 | | % 13.42/2.75 | | REDUCE: (9), (50) imply: % 13.42/2.75 | | (81) $i(all_2_3) % 13.42/2.75 | | % 13.42/2.75 | | REDUCE: (8), (49) imply: % 13.42/2.75 | | (82) $i(all_2_4) % 13.42/2.75 | | % 13.42/2.75 | | GROUND_INST: instantiating (80) with all_2_2, all_2_8, all_2_7, all_2_6, % 13.42/2.75 | | all_2_5, all_2_4, all_2_3, all_2_9, simplifying with (2), (3), % 13.42/2.75 | | (4), (5), (6), (7), (52), (53), (54), (55), (56), (57), (58), % 13.42/2.75 | | (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), % 13.42/2.75 | | (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), % 13.42/2.75 | | (79), (81), (82) gives: % 13.42/2.75 | | (83) all_2_3 = all_2_4 % 13.42/2.75 | | % 13.42/2.75 | | REDUCE: (51), (83) imply: % 13.42/2.75 | | (84) $false % 13.42/2.75 | | % 13.42/2.75 | | CLOSE: (84) is inconsistent. % 13.42/2.75 | | % 13.42/2.75 | End of split % 13.42/2.75 | % 13.42/2.75 End of proof % 13.42/2.75 % SZS output end Proof for theBenchmark % 13.42/2.75 % 13.42/2.75 2148ms %------------------------------------------------------------------------------