TSTP Solution File: SYO578+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n025.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 04:53:17 EDT 2023
% Result : Theorem 13.48s 2.58s
% Output : Proof 21.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n025.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 06:05:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.66/1.21 Prover 4: Preprocessing ...
% 3.66/1.21 Prover 1: Preprocessing ...
% 3.91/1.25 Prover 6: Preprocessing ...
% 3.91/1.25 Prover 0: Preprocessing ...
% 3.91/1.25 Prover 3: Preprocessing ...
% 3.91/1.25 Prover 5: Preprocessing ...
% 3.91/1.26 Prover 2: Preprocessing ...
% 7.41/1.76 Prover 2: Constructing countermodel ...
% 7.41/1.76 Prover 5: Constructing countermodel ...
% 9.06/1.97 Prover 6: Proving ...
% 9.06/1.98 Prover 3: Constructing countermodel ...
% 9.06/2.01 Prover 1: Constructing countermodel ...
% 10.04/2.24 Prover 4: Constructing countermodel ...
% 11.51/2.30 Prover 0: Proving ...
% 13.48/2.57 Prover 3: proved (1953ms)
% 13.48/2.58
% 13.48/2.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.48/2.58
% 13.48/2.58 Prover 2: stopped
% 13.75/2.59 Prover 5: stopped
% 13.75/2.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.75/2.60 Prover 6: stopped
% 13.75/2.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.75/2.60 Prover 0: stopped
% 13.75/2.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.75/2.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.75/2.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.57/2.72 Prover 7: Preprocessing ...
% 14.57/2.73 Prover 8: Preprocessing ...
% 14.57/2.75 Prover 11: Preprocessing ...
% 14.57/2.76 Prover 10: Preprocessing ...
% 14.57/2.77 Prover 13: Preprocessing ...
% 14.57/2.86 Prover 7: Constructing countermodel ...
% 15.82/2.93 Prover 10: Constructing countermodel ...
% 15.82/2.94 Prover 13: Constructing countermodel ...
% 16.62/3.00 Prover 8: Warning: ignoring some quantifiers
% 16.62/3.02 Prover 8: Constructing countermodel ...
% 18.01/3.21 Prover 11: Constructing countermodel ...
% 19.84/3.59 Prover 13: Found proof (size 11)
% 19.84/3.59 Prover 13: proved (984ms)
% 19.84/3.59 Prover 7: stopped
% 19.84/3.59 Prover 10: stopped
% 19.84/3.59 Prover 11: stopped
% 19.84/3.59 Prover 1: stopped
% 19.84/3.59 Prover 8: stopped
% 19.84/3.59 Prover 4: stopped
% 19.84/3.59
% 21.05/3.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.05/3.59
% 21.05/3.60 % SZS output start Proof for theBenchmark
% 21.05/3.60 Assumptions after simplification:
% 21.05/3.60 ---------------------------------
% 21.05/3.60
% 21.05/3.60 (goals_86)
% 21.05/3.61 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) &
% 21.05/3.61 k04_buttercup10100(v0) & b48_buttercup10098(v0) & ! [v3: $i] : ! [v4: $i]
% 21.05/3.61 : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 21.05/3.61 k04_buttercup10100(v4) | ~ k04_buttercup10100(v3) | ~
% 21.05/3.61 b48_buttercup10098(v5) | ~ b48_buttercup10098(v3) |
% 21.05/3.61 k04_buttercup10100(v5) | b48_buttercup10098(v4)) & ( ! [v3: $i] : ( ~
% 21.05/3.61 $i(v3) | ~ k04_buttercup10100(v3) | b48_buttercup10098(v3)) |
% 21.05/3.61 (b48_buttercup10098(v2) & ~ k04_buttercup10100(v2))) & ( ! [v3: $i] : ( ~
% 21.05/3.61 $i(v3) | ~ b48_buttercup10098(v3) | k04_buttercup10100(v3)) |
% 21.05/3.61 (k04_buttercup10100(v1) & ~ b48_buttercup10098(v1))))
% 21.05/3.61
% 21.05/3.61 (sos_21)
% 21.05/3.61 ? [v0: $i] : ($i(v0) & b48_buttercup10098(v0) & ~ k04_buttercup10100(v0) &
% 21.05/3.61 ! [v1: $i] : ( ~ $i(v1) | ~ k04_buttercup10100(v1) |
% 21.05/3.61 b48_buttercup10098(v1)))
% 21.05/3.61
% 21.05/3.61 Further assumptions not needed in the proof:
% 21.05/3.61 --------------------------------------------
% 21.05/3.61 sos_01, sos_02, sos_03, sos_04, sos_05, sos_06, sos_07, sos_08, sos_09, sos_10,
% 21.05/3.61 sos_11, sos_12, sos_13, sos_14, sos_15, sos_16, sos_17, sos_18, sos_19, sos_20,
% 21.05/3.61 sos_22, sos_23, sos_24, sos_25, sos_26, sos_27, sos_28, sos_29, sos_30, sos_31,
% 21.05/3.61 sos_32, sos_33, sos_34, sos_35, sos_36, sos_37, sos_38, sos_39, sos_40, sos_41,
% 21.05/3.61 sos_42, sos_43, sos_44, sos_45, sos_46, sos_47, sos_48, sos_49, sos_50, sos_51,
% 21.05/3.61 sos_52, sos_53, sos_54, sos_55, sos_56, sos_57, sos_58, sos_59, sos_60, sos_61,
% 21.05/3.61 sos_62, sos_63, sos_64, sos_65, sos_66, sos_67, sos_68, sos_69, sos_70, sos_71,
% 21.05/3.61 sos_72, sos_73, sos_74, sos_75, sos_76, sos_77, sos_78, sos_79, sos_80, sos_81,
% 21.05/3.61 sos_82, sos_83, sos_84, sos_85
% 21.05/3.61
% 21.05/3.61 Those formulas are unsatisfiable:
% 21.05/3.61 ---------------------------------
% 21.05/3.61
% 21.05/3.61 Begin of proof
% 21.05/3.61 |
% 21.05/3.61 | DELTA: instantiating (sos_21) with fresh symbol all_102_0 gives:
% 21.05/3.61 | (1) $i(all_102_0) & b48_buttercup10098(all_102_0) & ~
% 21.05/3.61 | k04_buttercup10100(all_102_0) & ! [v0: $i] : ( ~ $i(v0) | ~
% 21.05/3.61 | k04_buttercup10100(v0) | b48_buttercup10098(v0))
% 21.05/3.61 |
% 21.05/3.61 | ALPHA: (1) implies:
% 21.05/3.62 | (2) ~ k04_buttercup10100(all_102_0)
% 21.05/3.62 | (3) b48_buttercup10098(all_102_0)
% 21.05/3.62 | (4) $i(all_102_0)
% 21.05/3.62 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ k04_buttercup10100(v0) |
% 21.05/3.62 | b48_buttercup10098(v0))
% 21.05/3.62 |
% 21.05/3.62 | DELTA: instantiating (goals_86) with fresh symbols all_122_0, all_122_1,
% 21.05/3.62 | all_122_2 gives:
% 21.05/3.62 | (6) $i(all_122_0) & $i(all_122_1) & $i(all_122_2) &
% 21.05/3.62 | k04_buttercup10100(all_122_2) & b48_buttercup10098(all_122_2) & ! [v0:
% 21.05/3.62 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 21.05/3.62 | | ~ k04_buttercup10100(v1) | ~ k04_buttercup10100(v0) | ~
% 21.05/3.62 | b48_buttercup10098(v2) | ~ b48_buttercup10098(v0) |
% 21.05/3.62 | k04_buttercup10100(v2) | b48_buttercup10098(v1)) & ( ! [v0: $i] : ( ~
% 21.05/3.62 | $i(v0) | ~ k04_buttercup10100(v0) | b48_buttercup10098(v0)) |
% 21.05/3.62 | (b48_buttercup10098(all_122_0) & ~ k04_buttercup10100(all_122_0))) &
% 21.05/3.62 | ( ! [v0: $i] : ( ~ $i(v0) | ~ b48_buttercup10098(v0) |
% 21.05/3.62 | k04_buttercup10100(v0)) | (k04_buttercup10100(all_122_1) & ~
% 21.05/3.62 | b48_buttercup10098(all_122_1)))
% 21.05/3.62 |
% 21.05/3.62 | ALPHA: (6) implies:
% 21.05/3.62 | (7) $i(all_122_1)
% 21.05/3.62 | (8) ! [v0: $i] : ( ~ $i(v0) | ~ b48_buttercup10098(v0) |
% 21.05/3.62 | k04_buttercup10100(v0)) | (k04_buttercup10100(all_122_1) & ~
% 21.05/3.62 | b48_buttercup10098(all_122_1))
% 21.05/3.62 |
% 21.05/3.62 | BETA: splitting (8) gives:
% 21.05/3.62 |
% 21.05/3.62 | Case 1:
% 21.05/3.62 | |
% 21.05/3.62 | | (9) ! [v0: $i] : ( ~ $i(v0) | ~ b48_buttercup10098(v0) |
% 21.05/3.62 | | k04_buttercup10100(v0))
% 21.05/3.62 | |
% 21.05/3.62 | | GROUND_INST: instantiating (9) with all_102_0, simplifying with (2), (3),
% 21.05/3.62 | | (4) gives:
% 21.05/3.62 | | (10) $false
% 21.05/3.62 | |
% 21.05/3.62 | | CLOSE: (10) is inconsistent.
% 21.05/3.62 | |
% 21.05/3.62 | Case 2:
% 21.05/3.62 | |
% 21.05/3.62 | | (11) k04_buttercup10100(all_122_1) & ~ b48_buttercup10098(all_122_1)
% 21.05/3.62 | |
% 21.05/3.62 | | ALPHA: (11) implies:
% 21.05/3.62 | | (12) ~ b48_buttercup10098(all_122_1)
% 21.05/3.62 | | (13) k04_buttercup10100(all_122_1)
% 21.05/3.62 | |
% 21.05/3.62 | | GROUND_INST: instantiating (5) with all_122_1, simplifying with (7), (12),
% 21.05/3.62 | | (13) gives:
% 21.05/3.62 | | (14) $false
% 21.05/3.62 | |
% 21.05/3.62 | | CLOSE: (14) is inconsistent.
% 21.05/3.62 | |
% 21.05/3.62 | End of split
% 21.05/3.62 |
% 21.05/3.62 End of proof
% 21.05/3.63 % SZS output end Proof for theBenchmark
% 21.05/3.63
% 21.05/3.63 3027ms
%------------------------------------------------------------------------------