TSTP Solution File: SWB015+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB015+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.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 20:11:43 EDT 2023
% Result : Theorem 2.73s 1.18s
% Output : Proof 3.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB015+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 06:33:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.97/1.01 Prover 1: Preprocessing ...
% 1.97/1.01 Prover 4: Preprocessing ...
% 1.97/1.06 Prover 6: Preprocessing ...
% 1.97/1.06 Prover 5: Preprocessing ...
% 1.97/1.06 Prover 2: Preprocessing ...
% 1.97/1.06 Prover 3: Preprocessing ...
% 1.97/1.06 Prover 0: Preprocessing ...
% 2.61/1.11 Prover 1: Constructing countermodel ...
% 2.61/1.11 Prover 3: Constructing countermodel ...
% 2.61/1.11 Prover 4: Constructing countermodel ...
% 2.61/1.11 Prover 6: Constructing countermodel ...
% 2.61/1.12 Prover 2: Proving ...
% 2.61/1.12 Prover 5: Proving ...
% 2.73/1.12 Prover 0: Proving ...
% 2.73/1.18 Prover 6: proved (534ms)
% 2.73/1.18
% 2.73/1.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.18
% 2.73/1.19 Prover 3: proved (549ms)
% 2.73/1.19
% 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.19
% 2.73/1.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.73/1.19 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.73/1.19 Prover 2: proved (553ms)
% 2.73/1.19
% 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.19
% 2.73/1.19 Prover 5: proved (546ms)
% 2.73/1.19
% 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.19
% 2.73/1.19 Prover 0: proved (557ms)
% 2.73/1.19
% 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.19
% 2.73/1.20 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.73/1.20 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.73/1.20 Prover 4: Found proof (size 7)
% 2.73/1.20 Prover 4: proved (558ms)
% 2.73/1.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.73/1.20 Prover 1: Found proof (size 7)
% 2.73/1.20 Prover 1: proved (565ms)
% 2.73/1.20 Prover 7: Preprocessing ...
% 2.73/1.20 Prover 11: Preprocessing ...
% 2.73/1.20 Prover 10: Preprocessing ...
% 2.73/1.20 Prover 8: Preprocessing ...
% 2.73/1.21 Prover 7: Warning: ignoring some quantifiers
% 2.73/1.21 Prover 7: Constructing countermodel ...
% 2.73/1.21 Prover 10: Warning: ignoring some quantifiers
% 2.73/1.21 Prover 10: Constructing countermodel ...
% 3.35/1.21 Prover 13: Preprocessing ...
% 3.35/1.22 Prover 10: stopped
% 3.35/1.22 Prover 11: Constructing countermodel ...
% 3.35/1.22 Prover 7: stopped
% 3.35/1.22 Prover 13: Warning: ignoring some quantifiers
% 3.35/1.22 Prover 11: stopped
% 3.35/1.22 Prover 13: Constructing countermodel ...
% 3.35/1.23 Prover 8: Warning: ignoring some quantifiers
% 3.35/1.23 Prover 13: stopped
% 3.35/1.23 Prover 8: Constructing countermodel ...
% 3.35/1.23 Prover 8: stopped
% 3.35/1.23
% 3.35/1.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.35/1.23
% 3.35/1.24 % SZS output start Proof for theBenchmark
% 3.35/1.24 Assumptions after simplification:
% 3.35/1.24 ---------------------------------
% 3.35/1.24
% 3.35/1.24 (owl_eqdis_sameas)
% 3.35/1.28 $i(uri_owl_sameAs) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 3.35/1.28 (iext(uri_owl_sameAs, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] :
% 3.35/1.28 ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1) | ~ $i(v0))
% 3.35/1.28
% 3.35/1.28 (testcase_conclusion_fullish_015_Reflective_Tautologies_I)
% 3.35/1.29 $i(uri_owl_sameAs) & ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_sameAs,
% 3.35/1.29 uri_owl_sameAs, uri_owl_sameAs) = v0)
% 3.35/1.29
% 3.35/1.29 Those formulas are unsatisfiable:
% 3.35/1.29 ---------------------------------
% 3.35/1.29
% 3.35/1.29 Begin of proof
% 3.35/1.29 |
% 3.35/1.29 | ALPHA: (owl_eqdis_sameas) implies:
% 3.35/1.29 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0)
% 3.35/1.29 | = v1) | ~ $i(v0))
% 3.35/1.29 |
% 3.35/1.29 | ALPHA: (testcase_conclusion_fullish_015_Reflective_Tautologies_I) implies:
% 3.35/1.29 | (2) $i(uri_owl_sameAs)
% 3.35/1.29 | (3) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_sameAs, uri_owl_sameAs,
% 3.35/1.29 | uri_owl_sameAs) = v0)
% 3.35/1.29 |
% 3.35/1.29 | DELTA: instantiating (3) with fresh symbol all_5_0 gives:
% 3.35/1.29 | (4) ~ (all_5_0 = 0) & iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs)
% 3.35/1.29 | = all_5_0
% 3.35/1.29 |
% 3.35/1.29 | ALPHA: (4) implies:
% 3.35/1.29 | (5) ~ (all_5_0 = 0)
% 3.35/1.29 | (6) iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) = all_5_0
% 3.35/1.29 |
% 3.35/1.30 | GROUND_INST: instantiating (1) with uri_owl_sameAs, all_5_0, simplifying with
% 3.35/1.30 | (2), (6) gives:
% 3.35/1.30 | (7) all_5_0 = 0
% 3.35/1.30 |
% 3.35/1.30 | REDUCE: (5), (7) imply:
% 3.35/1.30 | (8) $false
% 3.35/1.30 |
% 3.35/1.30 | CLOSE: (8) is inconsistent.
% 3.35/1.30 |
% 3.35/1.30 End of proof
% 3.35/1.30 % SZS output end Proof for theBenchmark
% 3.35/1.30
% 3.35/1.30 683ms
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