%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : PUZ031+1 : TPTP v8.1.2. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n009.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 9.20s 1.96s % Output : Proof 11.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : PUZ031+1 : TPTP v8.1.2. Released v2.0.0. % 0.11/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n009.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sat Aug 26 22:18:05 EDT 2023 % 0.12/0.33 % CPUTime : % 0.18/0.59 ________ _____ % 0.18/0.59 ___ __ \_________(_)________________________________ % 0.18/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.59 % 0.18/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.59 (2023-06-19) % 0.18/0.59 % 0.18/0.59 (c) Philipp Rümmer, 2009-2023 % 0.18/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.59 Amanda Stjerna. % 0.18/0.59 Free software under BSD-3-Clause. % 0.18/0.59 % 0.18/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.59 % 0.18/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.18/0.60 Running up to 7 provers in parallel. % 0.68/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.68/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.68/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.68/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.68/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.68/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.68/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 2.16/1.00 Prover 1: Preprocessing ... % 2.16/1.00 Prover 4: Preprocessing ... % 2.67/1.04 Prover 5: Preprocessing ... % 2.67/1.04 Prover 6: Preprocessing ... % 2.67/1.04 Prover 3: Preprocessing ... % 2.67/1.04 Prover 0: Preprocessing ... % 2.67/1.04 Prover 2: Preprocessing ... % 4.34/1.24 Prover 2: Constructing countermodel ... % 4.34/1.24 Prover 5: Proving ... % 4.90/1.33 Prover 6: Proving ... % 4.90/1.33 Prover 1: Constructing countermodel ... % 4.90/1.36 Prover 3: Constructing countermodel ... % 6.47/1.57 Prover 0: Proving ... % 6.47/1.58 Prover 4: Constructing countermodel ... % 7.54/1.74 Prover 1: gave up % 7.54/1.74 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.54/1.74 Prover 3: gave up % 7.54/1.76 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.37/1.79 Prover 8: Preprocessing ... % 8.37/1.80 Prover 7: Preprocessing ... % 8.65/1.85 Prover 7: Constructing countermodel ... % 9.20/1.92 Prover 8: Warning: ignoring some quantifiers % 9.20/1.93 Prover 8: Constructing countermodel ... % 9.20/1.95 Prover 2: proved (1346ms) % 9.20/1.95 % 9.20/1.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 9.20/1.96 % 9.20/1.97 Prover 0: stopped % 9.20/1.97 Prover 5: stopped % 9.20/1.97 Prover 6: stopped % 9.20/1.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.20/1.97 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.20/1.97 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 9.72/1.97 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.72/2.01 Prover 11: Preprocessing ... % 9.72/2.01 Prover 10: Preprocessing ... % 9.72/2.01 Prover 13: Preprocessing ... % 9.72/2.02 Prover 16: Preprocessing ... % 9.72/2.06 Prover 10: Constructing countermodel ... % 10.44/2.07 Prover 16: Constructing countermodel ... % 10.44/2.08 Prover 13: Constructing countermodel ... % 10.95/2.19 Prover 13: Found proof (size 51) % 10.95/2.19 Prover 13: proved (217ms) % 10.95/2.19 Prover 4: stopped % 10.95/2.19 Prover 7: stopped % 10.95/2.19 Prover 16: stopped % 10.95/2.19 Prover 10: stopped % 10.95/2.19 Prover 8: stopped % 10.95/2.19 Prover 11: Constructing countermodel ... % 10.95/2.20 Prover 11: stopped % 10.95/2.20 % 10.95/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.95/2.20 % 11.54/2.21 % SZS output start Proof for theBenchmark % 11.54/2.22 Assumptions after simplification: % 11.54/2.22 --------------------------------- % 11.54/2.22 % 11.54/2.22 (pel47) % 11.54/2.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 11.54/2.22 ~ eats(v1, v2) | ~ eats(v0, v1) | ~ grain(v2) | ~ animal(v1) | ~ % 11.54/2.22 animal(v0)) % 11.54/2.22 % 11.54/2.22 (pel47_10) % 11.54/2.22 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ fox(v0) | ~ wolf(v1) % 11.54/2.22 | much_smaller(v0, v1)) % 11.54/2.22 % 11.54/2.22 (pel47_11) % 11.54/2.22 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~ % 11.54/2.23 grain(v1) | ~ wolf(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 11.54/2.23 $i(v0) | ~ eats(v0, v1) | ~ fox(v1) | ~ wolf(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_13) % 11.54/2.23 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~ % 11.54/2.23 snail(v1) | ~ bird(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_14) % 11.54/2.23 ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | ? [v1: $i] : ($i(v1) & eats(v0, v1) % 11.54/2.23 & plant(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ caterpillar(v0) | ? [v1: % 11.54/2.23 $i] : ($i(v1) & eats(v0, v1) & plant(v1))) % 11.54/2.23 % 11.54/2.23 (pel47_1_1) % 11.54/2.23 ! [v0: $i] : ( ~ $i(v0) | ~ wolf(v0) | animal(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_1_2) % 11.54/2.23 ? [v0: $i] : ($i(v0) & wolf(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_2_1) % 11.54/2.23 ! [v0: $i] : ( ~ $i(v0) | ~ fox(v0) | animal(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_2_2) % 11.54/2.23 ? [v0: $i] : ($i(v0) & fox(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_3_1) % 11.54/2.23 ! [v0: $i] : ( ~ $i(v0) | ~ bird(v0) | animal(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_3_2) % 11.54/2.23 ? [v0: $i] : ($i(v0) & bird(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_4_2) % 11.54/2.23 ? [v0: $i] : ($i(v0) & caterpillar(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_5_1) % 11.54/2.23 ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | animal(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_5_2) % 11.54/2.23 ? [v0: $i] : ($i(v0) & snail(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_6_1) % 11.54/2.23 ? [v0: $i] : ($i(v0) & grain(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_6_2) % 11.54/2.23 ! [v0: $i] : ( ~ $i(v0) | ~ grain(v0) | plant(v0)) % 11.54/2.23 % 11.54/2.23 (pel47_7) % 11.54/2.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 11.54/2.23 | ~ $i(v1) | ~ $i(v0) | ~ much_smaller(v1, v0) | ~ eats(v1, v2) | ~ % 11.54/2.23 plant(v3) | ~ plant(v2) | ~ animal(v1) | ~ animal(v0) | eats(v0, v3) | % 11.54/2.23 eats(v0, v1)) % 11.54/2.23 % 11.54/2.23 (pel47_8) % 11.54/2.23 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ snail(v0) | ~ % 11.54/2.24 bird(v1) | much_smaller(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | % 11.54/2.24 ~ $i(v0) | ~ caterpillar(v0) | ~ bird(v1) | much_smaller(v0, v1)) % 11.54/2.24 % 11.54/2.24 (pel47_9) % 11.54/2.24 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ bird(v0) | ~ fox(v1) % 11.54/2.24 | much_smaller(v0, v1)) % 11.54/2.24 % 11.54/2.24 Further assumptions not needed in the proof: % 11.54/2.24 -------------------------------------------- % 11.54/2.24 pel47_12, pel47_4_1 % 11.54/2.24 % 11.54/2.24 Those formulas are unsatisfiable: % 11.54/2.24 --------------------------------- % 11.54/2.24 % 11.54/2.24 Begin of proof % 11.54/2.24 | % 11.54/2.24 | ALPHA: (pel47_14) implies: % 11.54/2.24 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ caterpillar(v0) | ? [v1: $i] : ($i(v1) & % 11.54/2.24 | eats(v0, v1) & plant(v1))) % 11.54/2.24 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | ? [v1: $i] : ($i(v1) & % 11.54/2.24 | eats(v0, v1) & plant(v1))) % 11.54/2.24 | % 11.54/2.24 | ALPHA: (pel47_11) implies: % 11.54/2.24 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | % 11.54/2.24 | ~ fox(v1) | ~ wolf(v0)) % 11.54/2.24 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | % 11.54/2.24 | ~ grain(v1) | ~ wolf(v0)) % 11.54/2.24 | % 11.54/2.24 | ALPHA: (pel47_8) implies: % 11.54/2.24 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ snail(v0) | ~ % 11.54/2.24 | bird(v1) | much_smaller(v0, v1)) % 11.54/2.24 | % 11.54/2.24 | DELTA: instantiating (pel47_2_2) with fresh symbol all_17_0 gives: % 11.54/2.24 | (6) $i(all_17_0) & fox(all_17_0) % 11.54/2.24 | % 11.54/2.24 | ALPHA: (6) implies: % 11.54/2.24 | (7) fox(all_17_0) % 11.54/2.24 | (8) $i(all_17_0) % 11.54/2.24 | % 11.54/2.24 | DELTA: instantiating (pel47_3_2) with fresh symbol all_19_0 gives: % 11.54/2.24 | (9) $i(all_19_0) & bird(all_19_0) % 11.54/2.24 | % 11.54/2.24 | ALPHA: (9) implies: % 11.54/2.24 | (10) bird(all_19_0) % 11.54/2.24 | (11) $i(all_19_0) % 11.54/2.24 | % 11.54/2.24 | DELTA: instantiating (pel47_1_2) with fresh symbol all_21_0 gives: % 11.54/2.24 | (12) $i(all_21_0) & wolf(all_21_0) % 11.54/2.24 | % 11.54/2.24 | ALPHA: (12) implies: % 11.54/2.24 | (13) wolf(all_21_0) % 11.54/2.24 | (14) $i(all_21_0) % 11.54/2.24 | % 11.54/2.24 | DELTA: instantiating (pel47_4_2) with fresh symbol all_23_0 gives: % 11.54/2.24 | (15) $i(all_23_0) & caterpillar(all_23_0) % 11.54/2.24 | % 11.54/2.24 | ALPHA: (15) implies: % 11.54/2.24 | (16) caterpillar(all_23_0) % 11.54/2.25 | (17) $i(all_23_0) % 11.54/2.25 | % 11.54/2.25 | DELTA: instantiating (pel47_6_1) with fresh symbol all_25_0 gives: % 11.54/2.25 | (18) $i(all_25_0) & grain(all_25_0) % 11.54/2.25 | % 11.54/2.25 | ALPHA: (18) implies: % 11.54/2.25 | (19) grain(all_25_0) % 11.54/2.25 | (20) $i(all_25_0) % 11.54/2.25 | % 11.54/2.25 | DELTA: instantiating (pel47_5_2) with fresh symbol all_27_0 gives: % 11.54/2.25 | (21) $i(all_27_0) & snail(all_27_0) % 11.54/2.25 | % 11.54/2.25 | ALPHA: (21) implies: % 11.54/2.25 | (22) snail(all_27_0) % 11.54/2.25 | (23) $i(all_27_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_1_1) with all_21_0, simplifying with (13), % 11.54/2.25 | (14) gives: % 11.54/2.25 | (24) animal(all_21_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_10) with all_17_0, all_21_0, simplifying % 11.54/2.25 | with (7), (8), (13), (14) gives: % 11.54/2.25 | (25) much_smaller(all_17_0, all_21_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_2_1) with all_17_0, simplifying with (7), % 11.54/2.25 | (8) gives: % 11.54/2.25 | (26) animal(all_17_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_9) with all_19_0, all_17_0, simplifying with % 11.54/2.25 | (7), (8), (10), (11) gives: % 11.54/2.25 | (27) much_smaller(all_19_0, all_17_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_3_1) with all_19_0, simplifying with (10), % 11.54/2.25 | (11) gives: % 11.54/2.25 | (28) animal(all_19_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (1) with all_23_0, simplifying with (16), (17) % 11.54/2.25 | gives: % 11.54/2.25 | (29) ? [v0: $i] : ($i(v0) & eats(all_23_0, v0) & plant(v0)) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (5) with all_27_0, all_19_0, simplifying with (10), % 11.54/2.25 | (11), (22), (23) gives: % 11.54/2.25 | (30) much_smaller(all_27_0, all_19_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_5_1) with all_27_0, simplifying with (22), % 11.54/2.25 | (23) gives: % 11.54/2.25 | (31) animal(all_27_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (2) with all_27_0, simplifying with (22), (23) % 11.54/2.25 | gives: % 11.54/2.25 | (32) ? [v0: $i] : ($i(v0) & eats(all_27_0, v0) & plant(v0)) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_6_2) with all_25_0, simplifying with (19), % 11.54/2.25 | (20) gives: % 11.54/2.25 | (33) plant(all_25_0) % 11.54/2.25 | % 11.54/2.25 | DELTA: instantiating (32) with fresh symbol all_35_0 gives: % 11.54/2.25 | (34) $i(all_35_0) & eats(all_27_0, all_35_0) & plant(all_35_0) % 11.54/2.25 | % 11.54/2.25 | ALPHA: (34) implies: % 11.54/2.25 | (35) plant(all_35_0) % 11.54/2.25 | (36) eats(all_27_0, all_35_0) % 11.54/2.25 | (37) $i(all_35_0) % 11.54/2.25 | % 11.54/2.25 | DELTA: instantiating (29) with fresh symbol all_37_0 gives: % 11.54/2.25 | (38) $i(all_37_0) & eats(all_23_0, all_37_0) & plant(all_37_0) % 11.54/2.25 | % 11.54/2.25 | ALPHA: (38) implies: % 11.54/2.25 | (39) plant(all_37_0) % 11.54/2.25 | (40) $i(all_37_0) % 11.54/2.25 | % 11.54/2.25 | GROUND_INST: instantiating (pel47_7) with all_19_0, all_27_0, all_35_0, % 11.54/2.25 | all_37_0, simplifying with (11), (23), (28), (30), (31), (35), % 11.54/2.25 | (36), (37), (39), (40) gives: % 11.54/2.25 | (41) eats(all_19_0, all_37_0) | eats(all_19_0, all_27_0) % 11.54/2.25 | % 11.54/2.26 | GROUND_INST: instantiating (pel47_7) with all_19_0, all_27_0, all_35_0, % 11.54/2.26 | all_25_0, simplifying with (11), (20), (23), (28), (30), (31), % 11.54/2.26 | (33), (35), (36), (37) gives: % 11.54/2.26 | (42) eats(all_19_0, all_27_0) | eats(all_19_0, all_25_0) % 11.54/2.26 | % 11.54/2.26 | BETA: splitting (42) gives: % 11.54/2.26 | % 11.54/2.26 | Case 1: % 11.54/2.26 | | % 11.54/2.26 | | (43) eats(all_19_0, all_27_0) % 11.54/2.26 | | % 11.54/2.26 | | GROUND_INST: instantiating (pel47_13) with all_19_0, all_27_0, simplifying % 11.54/2.26 | | with (10), (11), (22), (23), (43) gives: % 11.54/2.26 | | (44) $false % 11.54/2.26 | | % 11.54/2.26 | | CLOSE: (44) is inconsistent. % 11.54/2.26 | | % 11.54/2.26 | Case 2: % 11.54/2.26 | | % 11.54/2.26 | | (45) eats(all_19_0, all_25_0) % 11.54/2.26 | | % 11.54/2.26 | | BETA: splitting (41) gives: % 11.54/2.26 | | % 11.54/2.26 | | Case 1: % 11.54/2.26 | | | % 11.54/2.26 | | | (46) eats(all_19_0, all_37_0) % 11.54/2.26 | | | % 11.54/2.26 | | | GROUND_INST: instantiating (pel47_7) with all_17_0, all_19_0, all_37_0, % 11.54/2.26 | | | all_37_0, simplifying with (8), (11), (26), (27), (28), (39), % 11.54/2.26 | | | (40), (46) gives: % 11.54/2.26 | | | (47) eats(all_17_0, all_37_0) | eats(all_17_0, all_19_0) % 11.54/2.26 | | | % 11.54/2.26 | | | BETA: splitting (47) gives: % 11.54/2.26 | | | % 11.54/2.26 | | | Case 1: % 11.54/2.26 | | | | % 11.54/2.26 | | | | (48) eats(all_17_0, all_37_0) % 11.54/2.26 | | | | % 11.54/2.26 | | | | GROUND_INST: instantiating (pel47_7) with all_21_0, all_17_0, all_37_0, % 11.54/2.26 | | | | all_25_0, simplifying with (8), (14), (20), (24), (25), % 11.54/2.26 | | | | (26), (33), (39), (40), (48) gives: % 11.54/2.26 | | | | (49) eats(all_21_0, all_25_0) | eats(all_21_0, all_17_0) % 11.54/2.26 | | | | % 11.54/2.26 | | | | BETA: splitting (49) gives: % 11.54/2.26 | | | | % 11.54/2.26 | | | | Case 1: % 11.54/2.26 | | | | | % 11.54/2.26 | | | | | (50) eats(all_21_0, all_25_0) % 11.54/2.26 | | | | | % 11.54/2.26 | | | | | GROUND_INST: instantiating (4) with all_21_0, all_25_0, simplifying % 11.54/2.26 | | | | | with (13), (14), (19), (20), (50) gives: % 11.54/2.26 | | | | | (51) $false % 11.54/2.26 | | | | | % 11.54/2.26 | | | | | CLOSE: (51) is inconsistent. % 11.54/2.26 | | | | | % 11.54/2.26 | | | | Case 2: % 11.54/2.26 | | | | | % 11.54/2.26 | | | | | (52) eats(all_21_0, all_17_0) % 11.54/2.26 | | | | | % 11.54/2.26 | | | | | GROUND_INST: instantiating (3) with all_21_0, all_17_0, simplifying % 11.54/2.26 | | | | | with (7), (8), (13), (14), (52) gives: % 11.54/2.26 | | | | | (53) $false % 11.54/2.26 | | | | | % 11.54/2.26 | | | | | CLOSE: (53) is inconsistent. % 11.54/2.26 | | | | | % 11.54/2.26 | | | | End of split % 11.54/2.26 | | | | % 11.54/2.26 | | | Case 2: % 11.54/2.26 | | | | % 11.54/2.26 | | | | (54) eats(all_17_0, all_19_0) % 11.54/2.26 | | | | % 11.54/2.26 | | | | GROUND_INST: instantiating (pel47) with all_17_0, all_19_0, all_25_0, % 11.54/2.26 | | | | simplifying with (8), (11), (19), (20), (26), (28), (45), % 11.54/2.26 | | | | (54) gives: % 11.54/2.26 | | | | (55) $false % 11.54/2.26 | | | | % 11.54/2.26 | | | | CLOSE: (55) is inconsistent. % 11.54/2.26 | | | | % 11.54/2.26 | | | End of split % 11.54/2.26 | | | % 11.54/2.26 | | Case 2: % 11.54/2.26 | | | % 11.54/2.26 | | | (56) eats(all_19_0, all_27_0) % 11.54/2.26 | | | % 11.54/2.26 | | | GROUND_INST: instantiating (pel47_13) with all_19_0, all_27_0, simplifying % 11.54/2.26 | | | with (10), (11), (22), (23), (56) gives: % 11.54/2.26 | | | (57) $false % 11.54/2.26 | | | % 11.54/2.26 | | | CLOSE: (57) is inconsistent. % 11.54/2.26 | | | % 11.54/2.26 | | End of split % 11.54/2.26 | | % 11.54/2.26 | End of split % 11.54/2.26 | % 11.54/2.26 End of proof % 11.54/2.26 % SZS output end Proof for theBenchmark % 11.54/2.27 % 11.54/2.27 1678ms %------------------------------------------------------------------------------