TSTP Solution File: SYN960+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN960+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n018.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 : Fri Sep 1 03:29:22 EDT 2023
% Result : Theorem 2.91s 1.29s
% Output : Proof 3.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN960+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n018.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 20:14:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.62 ________ _____
% 0.18/0.62 ___ __ \_________(_)________________________________
% 0.18/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.62
% 0.18/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.63 (2023-06-19)
% 0.18/0.63
% 0.18/0.63 (c) Philipp Rümmer, 2009-2023
% 0.18/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.63 Amanda Stjerna.
% 0.18/0.63 Free software under BSD-3-Clause.
% 0.18/0.63
% 0.18/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.63
% 0.18/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.64 Running up to 7 provers in parallel.
% 0.18/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.51/1.04 Prover 4: Preprocessing ...
% 1.51/1.04 Prover 1: Preprocessing ...
% 2.05/1.10 Prover 6: Preprocessing ...
% 2.05/1.10 Prover 5: Preprocessing ...
% 2.05/1.10 Prover 0: Preprocessing ...
% 2.05/1.10 Prover 3: Preprocessing ...
% 2.05/1.10 Prover 2: Preprocessing ...
% 2.35/1.17 Prover 2: Constructing countermodel ...
% 2.35/1.17 Prover 4: Constructing countermodel ...
% 2.35/1.17 Prover 1: Constructing countermodel ...
% 2.35/1.17 Prover 3: Constructing countermodel ...
% 2.35/1.17 Prover 5: Constructing countermodel ...
% 2.35/1.17 Prover 6: Proving ...
% 2.35/1.17 Prover 0: Proving ...
% 2.91/1.29 Prover 2: proved (634ms)
% 2.91/1.29
% 2.91/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.29
% 2.91/1.29 Prover 3: proved (628ms)
% 2.91/1.29
% 2.91/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.29
% 2.91/1.29 Prover 5: proved (627ms)
% 2.91/1.29
% 2.91/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.29
% 2.91/1.29 Prover 6: stopped
% 2.91/1.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.36/1.30 Prover 0: stopped
% 3.36/1.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.36/1.30 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.36/1.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.36/1.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.36/1.31 Prover 8: Preprocessing ...
% 3.36/1.31 Prover 7: Preprocessing ...
% 3.36/1.31 Prover 11: Preprocessing ...
% 3.36/1.31 Prover 13: Preprocessing ...
% 3.36/1.31 Prover 10: Preprocessing ...
% 3.36/1.33 Prover 7: Constructing countermodel ...
% 3.36/1.33 Prover 13: Constructing countermodel ...
% 3.36/1.34 Prover 10: Constructing countermodel ...
% 3.36/1.35 Prover 1: Found proof (size 11)
% 3.36/1.35 Prover 4: Found proof (size 9)
% 3.36/1.35 Prover 4: proved (688ms)
% 3.36/1.35 Prover 8: Warning: ignoring some quantifiers
% 3.36/1.35 Prover 1: proved (693ms)
% 3.36/1.35 Prover 8: Constructing countermodel ...
% 3.36/1.35 Prover 13: stopped
% 3.36/1.35 Prover 10: stopped
% 3.36/1.35 Prover 8: stopped
% 3.36/1.36 Prover 7: stopped
% 3.36/1.36 Prover 11: Constructing countermodel ...
% 3.36/1.36 Prover 11: stopped
% 3.36/1.36
% 3.36/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.36/1.36
% 3.82/1.37 % SZS output start Proof for theBenchmark
% 3.82/1.37 Assumptions after simplification:
% 3.82/1.37 ---------------------------------
% 3.82/1.37
% 3.82/1.37 (prove_this)
% 3.82/1.44 ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 3.82/1.44 int] : ($i(v4) & $i(v3) & $i(v1) & $i(v0) & ((v5 = 0 & a(v3, v4) = 0 & !
% 3.82/1.44 [v6: $i] : ! [v7: $i] : ( ~ (a(v7, v6) = 0) | ~ $i(v7) | ~ $i(v6))) |
% 3.82/1.44 (v2 = 0 & a(v1, v0) = 0 & ! [v6: $i] : ! [v7: $i] : ( ~ (a(v6, v7) = 0)
% 3.82/1.44 | ~ $i(v7) | ~ $i(v6)))))
% 3.82/1.44
% 3.82/1.44 Those formulas are unsatisfiable:
% 3.82/1.44 ---------------------------------
% 3.82/1.44
% 3.82/1.44 Begin of proof
% 3.82/1.44 |
% 3.82/1.44 | DELTA: instantiating (prove_this) with fresh symbols all_3_0, all_3_1,
% 3.82/1.44 | all_3_2, all_3_3, all_3_4, all_3_5 gives:
% 3.82/1.45 | (1) $i(all_3_1) & $i(all_3_2) & $i(all_3_4) & $i(all_3_5) & ((all_3_0 = 0 &
% 3.82/1.45 | a(all_3_2, all_3_1) = 0 & ! [v0: $i] : ! [v1: $i] : ( ~ (a(v1,
% 3.82/1.45 | v0) = 0) | ~ $i(v1) | ~ $i(v0))) | (all_3_3 = 0 &
% 3.82/1.45 | a(all_3_4, all_3_5) = 0 & ! [v0: $i] : ! [v1: $i] : ( ~ (a(v0,
% 3.82/1.45 | v1) = 0) | ~ $i(v1) | ~ $i(v0))))
% 3.82/1.45 |
% 3.82/1.45 | ALPHA: (1) implies:
% 3.82/1.45 | (2) $i(all_3_5)
% 3.82/1.45 | (3) $i(all_3_4)
% 3.82/1.45 | (4) $i(all_3_2)
% 3.82/1.45 | (5) $i(all_3_1)
% 3.82/1.45 | (6) (all_3_0 = 0 & a(all_3_2, all_3_1) = 0 & ! [v0: $i] : ! [v1: $i] : (
% 3.82/1.45 | ~ (a(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0))) | (all_3_3 = 0 &
% 3.82/1.45 | a(all_3_4, all_3_5) = 0 & ! [v0: $i] : ! [v1: $i] : ( ~ (a(v0, v1)
% 3.82/1.45 | = 0) | ~ $i(v1) | ~ $i(v0)))
% 3.82/1.45 |
% 3.82/1.46 | BETA: splitting (6) gives:
% 3.82/1.46 |
% 3.82/1.46 | Case 1:
% 3.82/1.46 | |
% 3.82/1.46 | | (7) all_3_0 = 0 & a(all_3_2, all_3_1) = 0 & ! [v0: $i] : ! [v1: $i] : (
% 3.82/1.46 | | ~ (a(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0))
% 3.82/1.46 | |
% 3.82/1.46 | | ALPHA: (7) implies:
% 3.82/1.46 | | (8) a(all_3_2, all_3_1) = 0
% 3.82/1.46 | | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (a(v1, v0) = 0) | ~ $i(v1) | ~
% 3.82/1.46 | | $i(v0))
% 3.82/1.46 | |
% 3.82/1.46 | | GROUND_INST: instantiating (9) with all_3_1, all_3_2, simplifying with (4),
% 3.82/1.46 | | (5), (8) gives:
% 3.82/1.46 | | (10) $false
% 3.82/1.46 | |
% 3.82/1.46 | | CLOSE: (10) is inconsistent.
% 3.82/1.46 | |
% 3.82/1.46 | Case 2:
% 3.82/1.46 | |
% 3.82/1.47 | | (11) all_3_3 = 0 & a(all_3_4, all_3_5) = 0 & ! [v0: $i] : ! [v1: $i] :
% 3.82/1.47 | | ( ~ (a(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0))
% 3.82/1.47 | |
% 3.82/1.47 | | ALPHA: (11) implies:
% 3.82/1.47 | | (12) a(all_3_4, all_3_5) = 0
% 3.82/1.47 | | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (a(v0, v1) = 0) | ~ $i(v1) | ~
% 3.82/1.47 | | $i(v0))
% 3.82/1.47 | |
% 3.82/1.47 | | GROUND_INST: instantiating (13) with all_3_4, all_3_5, simplifying with (2),
% 3.82/1.47 | | (3), (12) gives:
% 3.82/1.47 | | (14) $false
% 3.82/1.47 | |
% 3.82/1.47 | | CLOSE: (14) is inconsistent.
% 3.82/1.47 | |
% 3.82/1.47 | End of split
% 3.82/1.47 |
% 3.82/1.47 End of proof
% 3.82/1.47 % SZS output end Proof for theBenchmark
% 3.82/1.47
% 3.82/1.47 841ms
%------------------------------------------------------------------------------