%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : PUZ031+3 : TPTP v8.1.2. Released v4.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n024.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 13:22:51 EDT 2023 % Result : Theorem 10.55s 2.16s % Output : Proof 12.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ031+3 : TPTP v8.1.2. Released v4.1.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n024.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 : Sat Aug 26 22:01:38 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 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/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 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 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 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.42/1.03 Prover 1: Preprocessing ... % 2.42/1.03 Prover 4: Preprocessing ... % 2.80/1.07 Prover 6: Preprocessing ... % 2.80/1.07 Prover 3: Preprocessing ... % 2.80/1.07 Prover 2: Preprocessing ... % 2.80/1.07 Prover 0: Preprocessing ... % 2.80/1.07 Prover 5: Preprocessing ... % 4.12/1.32 Prover 5: Constructing countermodel ... % 4.12/1.32 Prover 2: Constructing countermodel ... % 5.30/1.42 Prover 3: Constructing countermodel ... % 5.30/1.45 Prover 6: Proving ... % 5.30/1.50 Prover 1: Constructing countermodel ... % 6.52/1.64 Prover 4: Constructing countermodel ... % 6.52/1.67 Prover 0: Proving ... % 7.52/1.75 Prover 3: gave up % 7.52/1.75 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.17/1.80 Prover 7: Preprocessing ... % 8.17/1.87 Prover 7: Constructing countermodel ... % 10.55/2.15 Prover 2: proved (1525ms) % 10.55/2.16 % 10.55/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.55/2.16 % 10.55/2.16 Prover 5: stopped % 10.55/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.55/2.17 Prover 0: stopped % 10.55/2.17 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.55/2.17 Prover 6: stopped % 10.55/2.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.55/2.17 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.55/2.18 Prover 8: Preprocessing ... % 10.55/2.20 Prover 10: Preprocessing ... % 10.55/2.20 Prover 11: Preprocessing ... % 10.55/2.20 Prover 13: Preprocessing ... % 11.10/2.23 Prover 13: Constructing countermodel ... % 11.10/2.24 Prover 10: Constructing countermodel ... % 11.66/2.30 Prover 8: Warning: ignoring some quantifiers % 11.66/2.30 Prover 8: Constructing countermodel ... % 11.66/2.34 Prover 1: gave up % 11.66/2.35 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 12.37/2.38 Prover 11: Constructing countermodel ... % 12.37/2.39 Prover 16: Preprocessing ... % 12.54/2.39 Prover 10: Found proof (size 51) % 12.54/2.39 Prover 10: proved (229ms) % 12.54/2.39 Prover 8: stopped % 12.54/2.39 Prover 13: stopped % 12.54/2.39 Prover 4: stopped % 12.54/2.40 Prover 7: stopped % 12.54/2.40 Prover 11: stopped % 12.54/2.40 Prover 16: stopped % 12.54/2.40 % 12.54/2.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.54/2.40 % 12.54/2.42 % SZS output start Proof for theBenchmark % 12.69/2.42 Assumptions after simplification: % 12.69/2.42 --------------------------------- % 12.69/2.42 % 12.69/2.42 (bird_is_animal) % 12.71/2.43 ! [v0: $i] : ( ~ $i(v0) | ~ bird(v0) | animal(v0)) % 12.71/2.43 % 12.71/2.43 (bird_type) % 12.71/2.43 ? [v0: $i] : ($i(v0) & bird(v0)) % 12.71/2.43 % 12.71/2.43 (fox_is_animal) % 12.71/2.43 ! [v0: $i] : ( ~ $i(v0) | ~ fox(v0) | animal(v0)) % 12.71/2.43 % 12.71/2.43 (fox_type) % 12.71/2.43 ? [v0: $i] : ($i(v0) & fox(v0)) % 12.71/2.43 % 12.71/2.43 (grain_is_plant) % 12.71/2.43 ! [v0: $i] : ( ~ $i(v0) | ~ grain(v0) | plant(v0)) % 12.71/2.43 % 12.71/2.43 (grain_type) % 12.71/2.43 ? [v0: $i] : ($i(v0) & grain(v0)) % 12.71/2.43 % 12.71/2.43 (pel47) % 12.71/2.43 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 12.71/2.43 ~ eats(v1, v2) | ~ eats(v0, v1) | ~ grain(v2) | ~ animal(v1) | ~ % 12.71/2.43 animal(v0)) % 12.71/2.43 % 12.71/2.43 (pel47_10) % 12.71/2.43 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ fox(v0) | ~ wolf(v1) % 12.71/2.43 | much_smaller(v0, v1)) % 12.71/2.43 % 12.71/2.43 (pel47_11) % 12.71/2.43 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~ % 12.71/2.43 fox(v1) | ~ wolf(v0)) % 12.71/2.43 % 12.71/2.43 (pel47_11a) % 12.71/2.43 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~ % 12.71/2.43 grain(v1) | ~ wolf(v0)) % 12.71/2.43 % 12.71/2.43 (pel47_13) % 12.71/2.44 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~ % 12.71/2.44 snail(v1) | ~ bird(v0)) % 12.71/2.44 % 12.71/2.44 (pel47_14a) % 12.71/2.44 ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | ? [v1: $i] : ($i(v1) & eats(v0, v1) % 12.71/2.44 & plant(v1))) % 12.71/2.44 % 12.71/2.44 (pel47_7) % 12.71/2.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 12.71/2.44 | ~ $i(v1) | ~ $i(v0) | ~ much_smaller(v1, v0) | ~ eats(v1, v2) | ~ % 12.71/2.44 plant(v3) | ~ plant(v2) | ~ animal(v1) | ~ animal(v0) | eats(v0, v3) | % 12.71/2.44 eats(v0, v1)) % 12.71/2.44 % 12.71/2.44 (pel47_8) % 12.71/2.44 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ snail(v1) | ~ % 12.71/2.44 bird(v0) | much_smaller(v1, v0)) % 12.71/2.44 % 12.71/2.44 (pel47_9) % 12.71/2.44 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ bird(v0) | ~ fox(v1) % 12.71/2.44 | much_smaller(v0, v1)) % 12.71/2.44 % 12.71/2.44 (plant_type) % 12.71/2.44 ? [v0: $i] : ($i(v0) & plant(v0)) % 12.71/2.44 % 12.71/2.44 (snail_is_animal) % 12.71/2.44 ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | animal(v0)) % 12.71/2.44 % 12.71/2.44 (snail_type) % 12.71/2.44 ? [v0: $i] : ($i(v0) & snail(v0)) % 12.71/2.44 % 12.71/2.44 (wolf_is_animal) % 12.71/2.44 ! [v0: $i] : ( ~ $i(v0) | ~ wolf(v0) | animal(v0)) % 12.71/2.44 % 12.71/2.44 (wolf_type) % 12.71/2.44 ? [v0: $i] : ($i(v0) & wolf(v0)) % 12.71/2.44 % 12.71/2.44 Further assumptions not needed in the proof: % 12.71/2.44 -------------------------------------------- % 12.71/2.44 animal_is_edible, animal_type, caterpillar_is_animal, caterpillar_type, % 12.71/2.44 edible_type, pel47_12, pel47_14, pel47_8a, plant_is_edible % 12.71/2.44 % 12.71/2.44 Those formulas are unsatisfiable: % 12.71/2.44 --------------------------------- % 12.71/2.44 % 12.71/2.44 Begin of proof % 12.71/2.45 | % 12.71/2.45 | DELTA: instantiating (bird_type) with fresh symbol all_22_0 gives: % 12.71/2.45 | (1) $i(all_22_0) & bird(all_22_0) % 12.71/2.45 | % 12.71/2.45 | ALPHA: (1) implies: % 12.71/2.45 | (2) bird(all_22_0) % 12.71/2.45 | (3) $i(all_22_0) % 12.71/2.45 | % 12.71/2.45 | DELTA: instantiating (grain_type) with fresh symbol all_24_0 gives: % 12.71/2.45 | (4) $i(all_24_0) & grain(all_24_0) % 12.71/2.45 | % 12.71/2.45 | ALPHA: (4) implies: % 12.71/2.45 | (5) grain(all_24_0) % 12.71/2.45 | (6) $i(all_24_0) % 12.71/2.45 | % 12.71/2.45 | DELTA: instantiating (fox_type) with fresh symbol all_28_0 gives: % 12.71/2.45 | (7) $i(all_28_0) & fox(all_28_0) % 12.71/2.45 | % 12.71/2.45 | ALPHA: (7) implies: % 12.71/2.45 | (8) fox(all_28_0) % 12.71/2.45 | (9) $i(all_28_0) % 12.71/2.45 | % 12.71/2.45 | DELTA: instantiating (wolf_type) with fresh symbol all_30_0 gives: % 12.71/2.45 | (10) $i(all_30_0) & wolf(all_30_0) % 12.71/2.45 | % 12.71/2.45 | ALPHA: (10) implies: % 12.71/2.45 | (11) wolf(all_30_0) % 12.71/2.45 | (12) $i(all_30_0) % 12.71/2.45 | % 12.71/2.45 | DELTA: instantiating (plant_type) with fresh symbol all_32_0 gives: % 12.71/2.45 | (13) $i(all_32_0) & plant(all_32_0) % 12.71/2.45 | % 12.71/2.45 | ALPHA: (13) implies: % 12.71/2.45 | (14) plant(all_32_0) % 12.71/2.45 | (15) $i(all_32_0) % 12.71/2.45 | % 12.71/2.45 | DELTA: instantiating (snail_type) with fresh symbol all_36_0 gives: % 12.71/2.45 | (16) $i(all_36_0) & snail(all_36_0) % 12.71/2.45 | % 12.71/2.45 | ALPHA: (16) implies: % 12.71/2.45 | (17) snail(all_36_0) % 12.71/2.45 | (18) $i(all_36_0) % 12.71/2.45 | % 12.71/2.45 | GROUND_INST: instantiating (wolf_is_animal) with all_30_0, simplifying with % 12.71/2.45 | (11), (12) gives: % 12.71/2.45 | (19) animal(all_30_0) % 12.71/2.45 | % 12.71/2.45 | GROUND_INST: instantiating (pel47_10) with all_28_0, all_30_0, simplifying % 12.71/2.45 | with (8), (9), (11), (12) gives: % 12.71/2.45 | (20) much_smaller(all_28_0, all_30_0) % 12.71/2.45 | % 12.71/2.45 | GROUND_INST: instantiating (fox_is_animal) with all_28_0, simplifying with % 12.71/2.45 | (8), (9) gives: % 12.71/2.45 | (21) animal(all_28_0) % 12.71/2.45 | % 12.71/2.45 | GROUND_INST: instantiating (pel47_9) with all_22_0, all_28_0, simplifying with % 12.71/2.45 | (2), (3), (8), (9) gives: % 12.71/2.45 | (22) much_smaller(all_22_0, all_28_0) % 12.71/2.45 | % 12.71/2.45 | GROUND_INST: instantiating (bird_is_animal) with all_22_0, simplifying with % 12.71/2.45 | (2), (3) gives: % 12.71/2.46 | (23) animal(all_22_0) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (pel47_8) with all_22_0, all_36_0, simplifying with % 12.71/2.46 | (2), (3), (17), (18) gives: % 12.71/2.46 | (24) much_smaller(all_36_0, all_22_0) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (snail_is_animal) with all_36_0, simplifying with % 12.71/2.46 | (17), (18) gives: % 12.71/2.46 | (25) animal(all_36_0) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (pel47_14a) with all_36_0, simplifying with (17), % 12.71/2.46 | (18) gives: % 12.71/2.46 | (26) ? [v0: $i] : ($i(v0) & eats(all_36_0, v0) & plant(v0)) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (grain_is_plant) with all_24_0, simplifying with % 12.71/2.46 | (5), (6) gives: % 12.71/2.46 | (27) plant(all_24_0) % 12.71/2.46 | % 12.71/2.46 | DELTA: instantiating (26) with fresh symbol all_48_0 gives: % 12.71/2.46 | (28) $i(all_48_0) & eats(all_36_0, all_48_0) & plant(all_48_0) % 12.71/2.46 | % 12.71/2.46 | ALPHA: (28) implies: % 12.71/2.46 | (29) plant(all_48_0) % 12.71/2.46 | (30) eats(all_36_0, all_48_0) % 12.71/2.46 | (31) $i(all_48_0) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (pel47_7) with all_22_0, all_36_0, all_48_0, % 12.71/2.46 | all_32_0, simplifying with (3), (14), (15), (18), (23), (24), % 12.71/2.46 | (25), (29), (30), (31) gives: % 12.71/2.46 | (32) eats(all_22_0, all_36_0) | eats(all_22_0, all_32_0) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (pel47_7) with all_22_0, all_36_0, all_48_0, % 12.71/2.46 | all_48_0, simplifying with (3), (18), (23), (24), (25), (29), % 12.71/2.46 | (30), (31) gives: % 12.71/2.46 | (33) eats(all_22_0, all_48_0) | eats(all_22_0, all_36_0) % 12.71/2.46 | % 12.71/2.46 | GROUND_INST: instantiating (pel47_7) with all_22_0, all_36_0, all_48_0, % 12.71/2.46 | all_24_0, simplifying with (3), (6), (18), (23), (24), (25), % 12.71/2.46 | (27), (29), (30), (31) gives: % 12.71/2.46 | (34) eats(all_22_0, all_36_0) | eats(all_22_0, all_24_0) % 12.71/2.46 | % 12.71/2.46 | BETA: splitting (34) gives: % 12.71/2.46 | % 12.71/2.46 | Case 1: % 12.71/2.46 | | % 12.71/2.46 | | (35) eats(all_22_0, all_36_0) % 12.71/2.46 | | % 12.71/2.46 | | GROUND_INST: instantiating (pel47_13) with all_22_0, all_36_0, simplifying % 12.71/2.46 | | with (2), (3), (17), (18), (35) gives: % 12.71/2.46 | | (36) $false % 12.71/2.46 | | % 12.71/2.46 | | CLOSE: (36) is inconsistent. % 12.71/2.46 | | % 12.71/2.46 | Case 2: % 12.71/2.46 | | % 12.71/2.46 | | (37) eats(all_22_0, all_24_0) % 12.71/2.46 | | % 12.71/2.46 | | BETA: splitting (33) gives: % 12.71/2.46 | | % 12.71/2.46 | | Case 1: % 12.71/2.46 | | | % 12.71/2.47 | | | (38) eats(all_22_0, all_48_0) % 12.71/2.47 | | | % 12.71/2.47 | | | BETA: splitting (32) gives: % 12.71/2.47 | | | % 12.71/2.47 | | | Case 1: % 12.71/2.47 | | | | % 12.71/2.47 | | | | (39) eats(all_22_0, all_36_0) % 12.71/2.47 | | | | % 12.71/2.47 | | | | GROUND_INST: instantiating (pel47_13) with all_22_0, all_36_0, % 12.71/2.47 | | | | simplifying with (2), (3), (17), (18), (39) gives: % 12.71/2.47 | | | | (40) $false % 12.71/2.47 | | | | % 12.71/2.47 | | | | CLOSE: (40) is inconsistent. % 12.71/2.47 | | | | % 12.71/2.47 | | | Case 2: % 12.71/2.47 | | | | % 12.71/2.47 | | | | % 12.71/2.47 | | | | GROUND_INST: instantiating (pel47_7) with all_28_0, all_22_0, all_48_0, % 12.71/2.47 | | | | all_32_0, simplifying with (3), (9), (14), (15), (21), % 12.71/2.47 | | | | (22), (23), (29), (31), (38) gives: % 12.71/2.47 | | | | (41) eats(all_28_0, all_32_0) | eats(all_28_0, all_22_0) % 12.71/2.47 | | | | % 12.71/2.47 | | | | BETA: splitting (41) gives: % 12.71/2.47 | | | | % 12.71/2.47 | | | | Case 1: % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | (42) eats(all_28_0, all_32_0) % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | GROUND_INST: instantiating (pel47_7) with all_30_0, all_28_0, % 12.71/2.47 | | | | | all_32_0, all_24_0, simplifying with (6), (9), (12), % 12.71/2.47 | | | | | (14), (15), (19), (20), (21), (27), (42) gives: % 12.71/2.47 | | | | | (43) eats(all_30_0, all_28_0) | eats(all_30_0, all_24_0) % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | BETA: splitting (43) gives: % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | Case 1: % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | | (44) eats(all_30_0, all_28_0) % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | | GROUND_INST: instantiating (pel47_11) with all_30_0, all_28_0, % 12.71/2.47 | | | | | | simplifying with (8), (9), (11), (12), (44) gives: % 12.71/2.47 | | | | | | (45) $false % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | | CLOSE: (45) is inconsistent. % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | Case 2: % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | | (46) eats(all_30_0, all_24_0) % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | | GROUND_INST: instantiating (pel47_11a) with all_30_0, all_24_0, % 12.71/2.47 | | | | | | simplifying with (5), (6), (11), (12), (46) gives: % 12.71/2.47 | | | | | | (47) $false % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | | CLOSE: (47) is inconsistent. % 12.71/2.47 | | | | | | % 12.71/2.47 | | | | | End of split % 12.71/2.47 | | | | | % 12.71/2.47 | | | | Case 2: % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | (48) eats(all_28_0, all_22_0) % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | GROUND_INST: instantiating (pel47) with all_28_0, all_22_0, all_24_0, % 12.71/2.47 | | | | | simplifying with (3), (5), (6), (9), (21), (23), (37), % 12.71/2.47 | | | | | (48) gives: % 12.71/2.47 | | | | | (49) $false % 12.71/2.47 | | | | | % 12.71/2.47 | | | | | CLOSE: (49) is inconsistent. % 12.71/2.47 | | | | | % 12.71/2.47 | | | | End of split % 12.71/2.47 | | | | % 12.71/2.47 | | | End of split % 12.71/2.47 | | | % 12.71/2.47 | | Case 2: % 12.71/2.47 | | | % 12.71/2.47 | | | (50) eats(all_22_0, all_36_0) % 12.71/2.47 | | | % 12.71/2.47 | | | GROUND_INST: instantiating (pel47_13) with all_22_0, all_36_0, simplifying % 12.71/2.47 | | | with (2), (3), (17), (18), (50) gives: % 12.71/2.47 | | | (51) $false % 12.71/2.47 | | | % 12.71/2.47 | | | CLOSE: (51) is inconsistent. % 12.71/2.47 | | | % 12.71/2.47 | | End of split % 12.71/2.47 | | % 12.71/2.47 | End of split % 12.71/2.47 | % 12.71/2.47 End of proof % 12.71/2.47 % SZS output end Proof for theBenchmark % 12.71/2.47 % 12.71/2.47 1863ms %------------------------------------------------------------------------------