TSTP Solution File: NLP267_17 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n031.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 10:05:00 EDT 2023
% Result : Theorem 4.43s 1.30s
% Output : Proof 6.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 11:20:21 EDT 2023
% 0.12/0.34 % 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/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.60 Running up to 7 provers in parallel.
% 0.18/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.49/0.99 Prover 1: Preprocessing ...
% 2.49/0.99 Prover 4: Preprocessing ...
% 2.49/1.02 Prover 0: Preprocessing ...
% 2.49/1.02 Prover 5: Preprocessing ...
% 2.49/1.02 Prover 3: Preprocessing ...
% 2.49/1.02 Prover 2: Preprocessing ...
% 2.49/1.02 Prover 6: Preprocessing ...
% 3.41/1.15 Prover 5: Proving ...
% 3.41/1.16 Prover 2: Proving ...
% 3.80/1.20 Prover 3: Constructing countermodel ...
% 3.80/1.21 Prover 1: Constructing countermodel ...
% 3.80/1.22 Prover 6: Constructing countermodel ...
% 4.43/1.29 Prover 4: Constructing countermodel ...
% 4.43/1.30 Prover 5: proved (688ms)
% 4.43/1.30
% 4.43/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.43/1.30
% 4.43/1.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.43/1.30 Prover 3: stopped
% 4.43/1.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.43/1.30 Prover 6: stopped
% 4.43/1.31 Prover 2: stopped
% 4.43/1.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.43/1.32 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.43/1.33 Prover 7: Preprocessing ...
% 4.43/1.36 Prover 10: Preprocessing ...
% 4.43/1.36 Prover 8: Preprocessing ...
% 4.43/1.36 Prover 11: Preprocessing ...
% 4.43/1.37 Prover 7: Warning: ignoring some quantifiers
% 4.84/1.38 Prover 7: Constructing countermodel ...
% 4.84/1.38 Prover 0: Proving ...
% 4.84/1.38 Prover 0: stopped
% 4.84/1.38 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.84/1.39 Prover 10: Warning: ignoring some quantifiers
% 4.84/1.40 Prover 10: Constructing countermodel ...
% 5.57/1.42 Prover 13: Preprocessing ...
% 5.68/1.44 Prover 13: Warning: ignoring some quantifiers
% 5.68/1.45 Prover 13: Constructing countermodel ...
% 5.68/1.46 Prover 8: Warning: ignoring some quantifiers
% 5.68/1.47 Prover 8: Constructing countermodel ...
% 5.68/1.47 Prover 7: Found proof (size 9)
% 5.68/1.47 Prover 7: proved (172ms)
% 5.68/1.47 Prover 13: stopped
% 5.68/1.48 Prover 4: stopped
% 5.68/1.48 Prover 1: stopped
% 5.68/1.48 Prover 10: stopped
% 5.68/1.48 Prover 8: stopped
% 5.68/1.50 Prover 11: Constructing countermodel ...
% 6.22/1.51 Prover 11: stopped
% 6.22/1.51
% 6.22/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.22/1.51
% 6.22/1.51 % SZS output start Proof for theBenchmark
% 6.22/1.52 Assumptions after simplification:
% 6.22/1.52 ---------------------------------
% 6.22/1.52
% 6.22/1.52 (axiom_2)
% 6.22/1.52 $ki_index(#idx(b_s)) & $ki_world($ki_local_world) & $i(paris) & $i(second) &
% 6.22/1.52 $i(seventy) & ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ class(v0, second) |
% 6.22/1.52 ~ dest(v0, paris) | ~ $ki_accessible(#idx(b_s), $ki_local_world, v0) |
% 6.22/1.52 price(v0, seventy))
% 6.22/1.52
% 6.22/1.52 (axiom_5)
% 6.22/1.53 $ki_index(#idx(b_s)) & $ki_world($ki_local_world) & $i(paris) & $i(second) &
% 6.22/1.53 ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ $ki_accessible(#idx(b_s),
% 6.22/1.53 $ki_local_world, v0) | class(v0, second)) & ! [v0: $ki_world] : ( ~
% 6.22/1.53 $ki_world(v0) | ~ $ki_accessible(#idx(b_s), $ki_local_world, v0) | dest(v0,
% 6.22/1.53 paris))
% 6.22/1.53
% 6.22/1.53 (verify)
% 6.22/1.53 $ki_index(#idx(b_s)) & $ki_world($ki_local_world) & $i(seventy) & ? [v0:
% 6.22/1.53 $ki_world] : ($ki_world(v0) & $ki_accessible(#idx(b_s), $ki_local_world, v0)
% 6.22/1.53 & ~ price(v0, seventy))
% 6.22/1.53
% 6.22/1.53 Further assumptions not needed in the proof:
% 6.22/1.53 --------------------------------------------
% 6.22/1.53 axiom_1, axiom_3_s, axiom_3_u, axiom_4_s, axiom_4_u, mrel_universal_#idx(b_s),
% 6.22/1.53 mrel_universal_#idx(b_u)
% 6.22/1.53
% 6.22/1.53 Those formulas are unsatisfiable:
% 6.22/1.53 ---------------------------------
% 6.22/1.53
% 6.22/1.53 Begin of proof
% 6.22/1.53 |
% 6.22/1.53 | ALPHA: (verify) implies:
% 6.22/1.53 | (1) ? [v0: $ki_world] : ($ki_world(v0) & $ki_accessible(#idx(b_s),
% 6.22/1.53 | $ki_local_world, v0) & ~ price(v0, seventy))
% 6.22/1.53 |
% 6.22/1.53 | ALPHA: (axiom_5) implies:
% 6.22/1.53 | (2) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ $ki_accessible(#idx(b_s),
% 6.22/1.53 | $ki_local_world, v0) | dest(v0, paris))
% 6.22/1.53 | (3) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ $ki_accessible(#idx(b_s),
% 6.22/1.53 | $ki_local_world, v0) | class(v0, second))
% 6.22/1.53 |
% 6.22/1.53 | ALPHA: (axiom_2) implies:
% 6.22/1.53 | (4) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ class(v0, second) | ~
% 6.22/1.53 | dest(v0, paris) | ~ $ki_accessible(#idx(b_s), $ki_local_world, v0) |
% 6.22/1.53 | price(v0, seventy))
% 6.22/1.53 |
% 6.22/1.54 | DELTA: instantiating (1) with fresh symbol all_16_0 gives:
% 6.22/1.54 | (5) $ki_world(all_16_0) & $ki_accessible(#idx(b_s), $ki_local_world,
% 6.22/1.54 | all_16_0) & ~ price(all_16_0, seventy)
% 6.22/1.54 |
% 6.22/1.54 | ALPHA: (5) implies:
% 6.22/1.54 | (6) ~ price(all_16_0, seventy)
% 6.22/1.54 | (7) $ki_accessible(#idx(b_s), $ki_local_world, all_16_0)
% 6.22/1.54 | (8) $ki_world(all_16_0)
% 6.22/1.54 |
% 6.22/1.54 | GROUND_INST: instantiating (3) with all_16_0, simplifying with (7), (8) gives:
% 6.22/1.54 | (9) class(all_16_0, second)
% 6.22/1.54 |
% 6.22/1.54 | GROUND_INST: instantiating (2) with all_16_0, simplifying with (7), (8) gives:
% 6.22/1.54 | (10) dest(all_16_0, paris)
% 6.22/1.54 |
% 6.22/1.54 | GROUND_INST: instantiating (4) with all_16_0, simplifying with (6), (7), (8),
% 6.22/1.54 | (9), (10) gives:
% 6.22/1.54 | (11) $false
% 6.22/1.54 |
% 6.22/1.54 | CLOSE: (11) is inconsistent.
% 6.22/1.54 |
% 6.22/1.54 End of proof
% 6.22/1.54 % SZS output end Proof for theBenchmark
% 6.22/1.54
% 6.22/1.54 955ms
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