TSTP Solution File: PUZ031+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n005.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 8.40s 1.95s
% Output : Proof 11.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n005.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 22:10:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.22/1.03 Prover 1: Preprocessing ...
% 2.22/1.03 Prover 4: Preprocessing ...
% 2.75/1.08 Prover 0: Preprocessing ...
% 2.75/1.08 Prover 2: Preprocessing ...
% 2.75/1.08 Prover 6: Preprocessing ...
% 2.75/1.08 Prover 5: Preprocessing ...
% 2.75/1.08 Prover 3: Preprocessing ...
% 3.81/1.33 Prover 5: Constructing countermodel ...
% 3.81/1.33 Prover 2: Constructing countermodel ...
% 4.32/1.43 Prover 6: Proving ...
% 4.32/1.43 Prover 1: Constructing countermodel ...
% 5.41/1.44 Prover 3: Constructing countermodel ...
% 6.15/1.60 Prover 4: Constructing countermodel ...
% 6.15/1.62 Prover 0: Proving ...
% 8.40/1.94 Prover 2: proved (1308ms)
% 8.40/1.94
% 8.40/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.40/1.95
% 8.40/1.95 Prover 5: stopped
% 8.40/1.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.40/1.95 Prover 0: stopped
% 8.40/1.95 Prover 6: stopped
% 8.40/1.95 Prover 3: stopped
% 8.40/1.96 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.40/1.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.40/1.96 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.40/1.96 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.09/2.02 Prover 13: Preprocessing ...
% 9.09/2.02 Prover 7: Preprocessing ...
% 9.09/2.03 Prover 11: Preprocessing ...
% 9.09/2.03 Prover 8: Preprocessing ...
% 9.09/2.04 Prover 10: Preprocessing ...
% 9.69/2.07 Prover 7: Constructing countermodel ...
% 9.69/2.09 Prover 13: Constructing countermodel ...
% 9.69/2.09 Prover 10: Constructing countermodel ...
% 9.69/2.11 Prover 8: Warning: ignoring some quantifiers
% 10.24/2.11 Prover 8: Constructing countermodel ...
% 10.69/2.19 Prover 10: Found proof (size 49)
% 10.69/2.19 Prover 10: proved (235ms)
% 10.69/2.19 Prover 4: stopped
% 10.69/2.19 Prover 13: stopped
% 10.69/2.20 Prover 7: stopped
% 10.69/2.20 Prover 8: stopped
% 10.69/2.20 Prover 1: stopped
% 10.69/2.22 Prover 11: Constructing countermodel ...
% 10.69/2.23 Prover 11: stopped
% 10.69/2.23
% 10.69/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.69/2.23
% 10.69/2.24 % SZS output start Proof for theBenchmark
% 10.69/2.24 Assumptions after simplification:
% 10.69/2.24 ---------------------------------
% 10.69/2.24
% 10.69/2.24 (bird_type)
% 10.69/2.25 ? [v0: $i] : ($i(v0) & bird(v0))
% 10.69/2.25
% 10.69/2.25 (caterpillar_type)
% 10.69/2.25 ? [v0: $i] : ($i(v0) & caterpillar(v0))
% 10.69/2.25
% 10.69/2.25 (fox_type)
% 10.69/2.25 ? [v0: $i] : ($i(v0) & fox(v0))
% 10.69/2.25
% 10.69/2.25 (grain_type)
% 10.69/2.25 ? [v0: $i] : ($i(v0) & grain(v0))
% 10.69/2.25
% 10.69/2.25 (pel47)
% 10.69/2.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 10.69/2.25 ~ eats(v1, v2) | ~ eats(v0, v1) | ~ grain(v2) | ~ animal(v1) | ~
% 10.69/2.25 animal(v0))
% 10.69/2.25
% 10.69/2.25 (pel47_10)
% 10.69/2.25 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ fox(v0) | ~ wolf(v1)
% 11.20/2.25 | much_smaller(v0, v1))
% 11.20/2.25
% 11.20/2.25 (pel47_11)
% 11.20/2.25 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~
% 11.20/2.25 fox(v1) | ~ wolf(v0))
% 11.20/2.25
% 11.20/2.25 (pel47_11a)
% 11.20/2.26 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~
% 11.20/2.26 grain(v1) | ~ wolf(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_13)
% 11.20/2.26 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ eats(v0, v1) | ~
% 11.20/2.26 snail(v1) | ~ bird(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_14)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ caterpillar(v0) | ? [v1: $i] : ($i(v1) &
% 11.20/2.26 eats(v0, v1) & plant(v1)))
% 11.20/2.26
% 11.20/2.26 (pel47_14a)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | ? [v1: $i] : ($i(v1) & eats(v0, v1)
% 11.20/2.26 & plant(v1)))
% 11.20/2.26
% 11.20/2.26 (pel47_1_1)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ wolf(v0) | animal(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_2_1)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ fox(v0) | animal(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_3_1)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ bird(v0) | animal(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_4_2)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ snail(v0) | animal(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_6_2)
% 11.20/2.26 ! [v0: $i] : ( ~ $i(v0) | ~ grain(v0) | plant(v0))
% 11.20/2.26
% 11.20/2.26 (pel47_7)
% 11.20/2.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 11.20/2.26 | ~ $i(v1) | ~ $i(v0) | ~ much_smaller(v1, v0) | ~ eats(v1, v2) | ~
% 11.20/2.26 plant(v3) | ~ plant(v2) | ~ animal(v1) | ~ animal(v0) | eats(v0, v3) |
% 11.20/2.26 eats(v0, v1))
% 11.20/2.26
% 11.20/2.26 (pel47_8)
% 11.20/2.26 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ snail(v1) | ~
% 11.20/2.26 bird(v0) | much_smaller(v1, v0))
% 11.20/2.26
% 11.20/2.26 (pel47_9)
% 11.20/2.26 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ bird(v0) | ~ fox(v1)
% 11.20/2.26 | much_smaller(v0, v1))
% 11.20/2.26
% 11.20/2.26 (snail_type)
% 11.20/2.26 ? [v0: $i] : ($i(v0) & snail(v0))
% 11.20/2.26
% 11.20/2.26 (wolf_type)
% 11.20/2.26 ? [v0: $i] : ($i(v0) & wolf(v0))
% 11.20/2.26
% 11.20/2.26 Further assumptions not needed in the proof:
% 11.20/2.26 --------------------------------------------
% 11.20/2.27 pel47_12, pel47_4_1, pel47_8a
% 11.20/2.27
% 11.20/2.27 Those formulas are unsatisfiable:
% 11.20/2.27 ---------------------------------
% 11.20/2.27
% 11.20/2.27 Begin of proof
% 11.20/2.27 |
% 11.20/2.27 | DELTA: instantiating (grain_type) with fresh symbol all_20_0 gives:
% 11.20/2.27 | (1) $i(all_20_0) & grain(all_20_0)
% 11.20/2.27 |
% 11.20/2.27 | ALPHA: (1) implies:
% 11.20/2.27 | (2) grain(all_20_0)
% 11.20/2.27 | (3) $i(all_20_0)
% 11.20/2.27 |
% 11.20/2.27 | DELTA: instantiating (snail_type) with fresh symbol all_22_0 gives:
% 11.20/2.27 | (4) $i(all_22_0) & snail(all_22_0)
% 11.20/2.27 |
% 11.20/2.27 | ALPHA: (4) implies:
% 11.20/2.27 | (5) snail(all_22_0)
% 11.20/2.27 | (6) $i(all_22_0)
% 11.20/2.27 |
% 11.20/2.27 | DELTA: instantiating (caterpillar_type) with fresh symbol all_24_0 gives:
% 11.20/2.27 | (7) $i(all_24_0) & caterpillar(all_24_0)
% 11.20/2.27 |
% 11.20/2.27 | ALPHA: (7) implies:
% 11.20/2.27 | (8) caterpillar(all_24_0)
% 11.20/2.27 | (9) $i(all_24_0)
% 11.20/2.27 |
% 11.20/2.27 | DELTA: instantiating (bird_type) with fresh symbol all_26_0 gives:
% 11.20/2.27 | (10) $i(all_26_0) & bird(all_26_0)
% 11.20/2.27 |
% 11.20/2.27 | ALPHA: (10) implies:
% 11.20/2.27 | (11) bird(all_26_0)
% 11.20/2.27 | (12) $i(all_26_0)
% 11.20/2.27 |
% 11.20/2.27 | DELTA: instantiating (wolf_type) with fresh symbol all_28_0 gives:
% 11.20/2.27 | (13) $i(all_28_0) & wolf(all_28_0)
% 11.20/2.27 |
% 11.20/2.27 | ALPHA: (13) implies:
% 11.20/2.27 | (14) wolf(all_28_0)
% 11.20/2.27 | (15) $i(all_28_0)
% 11.20/2.27 |
% 11.20/2.27 | DELTA: instantiating (fox_type) with fresh symbol all_30_0 gives:
% 11.20/2.27 | (16) $i(all_30_0) & fox(all_30_0)
% 11.20/2.27 |
% 11.20/2.27 | ALPHA: (16) implies:
% 11.20/2.27 | (17) fox(all_30_0)
% 11.20/2.27 | (18) $i(all_30_0)
% 11.20/2.27 |
% 11.20/2.27 | GROUND_INST: instantiating (pel47_1_1) with all_28_0, simplifying with (14),
% 11.20/2.27 | (15) gives:
% 11.20/2.27 | (19) animal(all_28_0)
% 11.20/2.27 |
% 11.20/2.27 | GROUND_INST: instantiating (pel47_10) with all_30_0, all_28_0, simplifying
% 11.20/2.27 | with (14), (15), (17), (18) gives:
% 11.20/2.27 | (20) much_smaller(all_30_0, all_28_0)
% 11.20/2.27 |
% 11.20/2.27 | GROUND_INST: instantiating (pel47_2_1) with all_30_0, simplifying with (17),
% 11.20/2.27 | (18) gives:
% 11.20/2.27 | (21) animal(all_30_0)
% 11.20/2.27 |
% 11.20/2.27 | GROUND_INST: instantiating (pel47_9) with all_26_0, all_30_0, simplifying with
% 11.20/2.27 | (11), (12), (17), (18) gives:
% 11.20/2.27 | (22) much_smaller(all_26_0, all_30_0)
% 11.20/2.27 |
% 11.20/2.27 | GROUND_INST: instantiating (pel47_3_1) with all_26_0, simplifying with (11),
% 11.20/2.27 | (12) gives:
% 11.20/2.27 | (23) animal(all_26_0)
% 11.20/2.27 |
% 11.20/2.27 | GROUND_INST: instantiating (pel47_14) with all_24_0, simplifying with (8), (9)
% 11.20/2.27 | gives:
% 11.20/2.28 | (24) ? [v0: $i] : ($i(v0) & eats(all_24_0, v0) & plant(v0))
% 11.20/2.28 |
% 11.20/2.28 | GROUND_INST: instantiating (pel47_8) with all_26_0, all_22_0, simplifying with
% 11.20/2.28 | (5), (6), (11), (12) gives:
% 11.20/2.28 | (25) much_smaller(all_22_0, all_26_0)
% 11.20/2.28 |
% 11.20/2.28 | GROUND_INST: instantiating (pel47_4_2) with all_22_0, simplifying with (5),
% 11.20/2.28 | (6) gives:
% 11.20/2.28 | (26) animal(all_22_0)
% 11.20/2.28 |
% 11.20/2.28 | GROUND_INST: instantiating (pel47_14a) with all_22_0, simplifying with (5),
% 11.20/2.28 | (6) gives:
% 11.20/2.28 | (27) ? [v0: $i] : ($i(v0) & eats(all_22_0, v0) & plant(v0))
% 11.20/2.28 |
% 11.20/2.28 | GROUND_INST: instantiating (pel47_6_2) with all_20_0, simplifying with (2),
% 11.20/2.28 | (3) gives:
% 11.20/2.28 | (28) plant(all_20_0)
% 11.20/2.28 |
% 11.20/2.28 | DELTA: instantiating (27) with fresh symbol all_38_0 gives:
% 11.20/2.28 | (29) $i(all_38_0) & eats(all_22_0, all_38_0) & plant(all_38_0)
% 11.20/2.28 |
% 11.20/2.28 | ALPHA: (29) implies:
% 11.20/2.28 | (30) plant(all_38_0)
% 11.20/2.28 | (31) eats(all_22_0, all_38_0)
% 11.20/2.28 | (32) $i(all_38_0)
% 11.20/2.28 |
% 11.20/2.28 | DELTA: instantiating (24) with fresh symbol all_40_0 gives:
% 11.20/2.28 | (33) $i(all_40_0) & eats(all_24_0, all_40_0) & plant(all_40_0)
% 11.20/2.28 |
% 11.20/2.28 | ALPHA: (33) implies:
% 11.20/2.28 | (34) plant(all_40_0)
% 11.20/2.28 | (35) $i(all_40_0)
% 11.20/2.28 |
% 11.20/2.28 | GROUND_INST: instantiating (pel47_7) with all_26_0, all_22_0, all_38_0,
% 11.20/2.28 | all_40_0, simplifying with (6), (12), (23), (25), (26), (30),
% 11.20/2.28 | (31), (32), (34), (35) gives:
% 11.20/2.28 | (36) eats(all_26_0, all_40_0) | eats(all_26_0, all_22_0)
% 11.20/2.28 |
% 11.20/2.28 | GROUND_INST: instantiating (pel47_7) with all_26_0, all_22_0, all_38_0,
% 11.20/2.28 | all_20_0, simplifying with (3), (6), (12), (23), (25), (26),
% 11.20/2.28 | (28), (30), (31), (32) gives:
% 11.20/2.28 | (37) eats(all_26_0, all_22_0) | eats(all_26_0, all_20_0)
% 11.20/2.28 |
% 11.20/2.28 | BETA: splitting (37) gives:
% 11.20/2.28 |
% 11.20/2.28 | Case 1:
% 11.20/2.28 | |
% 11.20/2.28 | | (38) eats(all_26_0, all_22_0)
% 11.20/2.28 | |
% 11.20/2.28 | | GROUND_INST: instantiating (pel47_13) with all_26_0, all_22_0, simplifying
% 11.20/2.28 | | with (5), (6), (11), (12), (38) gives:
% 11.35/2.28 | | (39) $false
% 11.35/2.28 | |
% 11.35/2.28 | | CLOSE: (39) is inconsistent.
% 11.35/2.28 | |
% 11.35/2.28 | Case 2:
% 11.35/2.28 | |
% 11.35/2.28 | | (40) eats(all_26_0, all_20_0)
% 11.35/2.28 | |
% 11.35/2.28 | | BETA: splitting (36) gives:
% 11.35/2.28 | |
% 11.35/2.28 | | Case 1:
% 11.35/2.28 | | |
% 11.35/2.28 | | | (41) eats(all_26_0, all_40_0)
% 11.35/2.28 | | |
% 11.35/2.29 | | | GROUND_INST: instantiating (pel47_7) with all_30_0, all_26_0, all_40_0,
% 11.35/2.29 | | | all_40_0, simplifying with (12), (18), (21), (22), (23),
% 11.35/2.29 | | | (34), (35), (41) gives:
% 11.35/2.29 | | | (42) eats(all_30_0, all_40_0) | eats(all_30_0, all_26_0)
% 11.35/2.29 | | |
% 11.35/2.29 | | | BETA: splitting (42) gives:
% 11.35/2.29 | | |
% 11.35/2.29 | | | Case 1:
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | (43) eats(all_30_0, all_40_0)
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | GROUND_INST: instantiating (pel47_7) with all_28_0, all_30_0, all_40_0,
% 11.35/2.29 | | | | all_20_0, simplifying with (3), (15), (18), (19), (20),
% 11.35/2.29 | | | | (21), (28), (34), (35), (43) gives:
% 11.35/2.29 | | | | (44) eats(all_28_0, all_30_0) | eats(all_28_0, all_20_0)
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | BETA: splitting (44) gives:
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | Case 1:
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | | (45) eats(all_28_0, all_30_0)
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | | GROUND_INST: instantiating (pel47_11) with all_28_0, all_30_0,
% 11.35/2.29 | | | | | simplifying with (14), (15), (17), (18), (45) gives:
% 11.35/2.29 | | | | | (46) $false
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | | CLOSE: (46) is inconsistent.
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | Case 2:
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | | (47) eats(all_28_0, all_20_0)
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | | GROUND_INST: instantiating (pel47_11a) with all_28_0, all_20_0,
% 11.35/2.29 | | | | | simplifying with (2), (3), (14), (15), (47) gives:
% 11.35/2.29 | | | | | (48) $false
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | | CLOSE: (48) is inconsistent.
% 11.35/2.29 | | | | |
% 11.35/2.29 | | | | End of split
% 11.35/2.29 | | | |
% 11.35/2.29 | | | Case 2:
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | (49) eats(all_30_0, all_26_0)
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | GROUND_INST: instantiating (pel47) with all_30_0, all_26_0, all_20_0,
% 11.35/2.29 | | | | simplifying with (2), (3), (12), (18), (21), (23), (40),
% 11.35/2.29 | | | | (49) gives:
% 11.35/2.29 | | | | (50) $false
% 11.35/2.29 | | | |
% 11.35/2.29 | | | | CLOSE: (50) is inconsistent.
% 11.35/2.29 | | | |
% 11.35/2.29 | | | End of split
% 11.35/2.29 | | |
% 11.35/2.29 | | Case 2:
% 11.35/2.29 | | |
% 11.35/2.29 | | | (51) eats(all_26_0, all_22_0)
% 11.35/2.29 | | |
% 11.35/2.29 | | | GROUND_INST: instantiating (pel47_13) with all_26_0, all_22_0, simplifying
% 11.35/2.29 | | | with (5), (6), (11), (12), (51) gives:
% 11.35/2.29 | | | (52) $false
% 11.35/2.29 | | |
% 11.35/2.29 | | | CLOSE: (52) is inconsistent.
% 11.35/2.29 | | |
% 11.35/2.29 | | End of split
% 11.35/2.29 | |
% 11.35/2.29 | End of split
% 11.35/2.29 |
% 11.35/2.29 End of proof
% 11.35/2.29 % SZS output end Proof for theBenchmark
% 11.35/2.29
% 11.35/2.29 1676ms
%------------------------------------------------------------------------------