TSTP Solution File: MGT009+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT009+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n021.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 09:16:09 EDT 2023
% Result : Theorem 4.37s 1.40s
% Output : Proof 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT009+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n021.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 : Mon Aug 28 06:20:28 EDT 2023
% 0.12/0.34 % 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/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.62 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 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
% 1.79/1.00 Prover 4: Preprocessing ...
% 1.79/1.00 Prover 1: Preprocessing ...
% 2.26/1.06 Prover 5: Preprocessing ...
% 2.26/1.06 Prover 0: Preprocessing ...
% 2.26/1.06 Prover 6: Preprocessing ...
% 2.26/1.06 Prover 3: Preprocessing ...
% 2.26/1.06 Prover 2: Preprocessing ...
% 3.53/1.20 Prover 5: Constructing countermodel ...
% 3.53/1.23 Prover 2: Constructing countermodel ...
% 3.83/1.23 Prover 3: Constructing countermodel ...
% 3.89/1.26 Prover 1: Constructing countermodel ...
% 3.89/1.26 Prover 6: Constructing countermodel ...
% 4.37/1.40 Prover 2: proved (775ms)
% 4.37/1.40
% 4.37/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/1.40
% 4.37/1.40 Prover 3: stopped
% 4.37/1.41 Prover 5: stopped
% 4.37/1.42 Prover 6: stopped
% 4.37/1.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.37/1.42 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.37/1.43 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.37/1.43 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.37/1.46 Prover 7: Preprocessing ...
% 4.37/1.46 Prover 11: Preprocessing ...
% 4.37/1.46 Prover 10: Preprocessing ...
% 5.10/1.48 Prover 8: Preprocessing ...
% 5.10/1.49 Prover 7: Constructing countermodel ...
% 5.10/1.50 Prover 10: Constructing countermodel ...
% 5.10/1.54 Prover 8: Warning: ignoring some quantifiers
% 5.10/1.54 Prover 8: Constructing countermodel ...
% 6.40/1.60 Prover 10: Found proof (size 12)
% 6.40/1.60 Prover 7: Found proof (size 12)
% 6.40/1.60 Prover 10: proved (179ms)
% 6.40/1.60 Prover 7: proved (201ms)
% 6.40/1.61 Prover 8: stopped
% 6.40/1.61 Prover 1: stopped
% 6.57/1.64 Prover 4: Constructing countermodel ...
% 6.57/1.66 Prover 4: stopped
% 7.14/1.74 Prover 0: Proving ...
% 7.14/1.75 Prover 0: stopped
% 7.49/1.80 Prover 11: Constructing countermodel ...
% 7.49/1.81 Prover 11: stopped
% 7.49/1.81
% 7.49/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.49/1.81
% 7.49/1.82 % SZS output start Proof for theBenchmark
% 7.49/1.82 Assumptions after simplification:
% 7.49/1.82 ---------------------------------
% 7.49/1.82
% 7.49/1.82 (a3_FOL)
% 7.49/1.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 7.49/1.83 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 7.49/1.83 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v7, v6)
% 7.49/1.83 | ~ reproducibility(v1, v5, v3) | ~ reproducibility(v0, v4, v2) | ~
% 7.49/1.83 reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2) | ~
% 7.49/1.83 inertia(v1, v7, v3) | ~ inertia(v0, v6, v2) | ~ organization(v1, v3) | ~
% 7.49/1.83 organization(v0, v2) | greater(v5, v4)) & ! [v0: $i] : ! [v1: $i] : !
% 7.49/1.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 7.49/1.83 : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 7.49/1.83 $i(v1) | ~ $i(v0) | ~ greater(v5, v4) | ~ reproducibility(v1, v5, v3) |
% 7.49/1.83 ~ reproducibility(v0, v4, v2) | ~ reorganization_free(v1, v3, v3) | ~
% 7.49/1.83 reorganization_free(v0, v2, v2) | ~ inertia(v1, v7, v3) | ~ inertia(v0,
% 7.49/1.83 v6, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7,
% 7.49/1.83 v6))
% 7.49/1.83
% 7.49/1.83 (a5_FOL)
% 7.49/1.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 7.49/1.83 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~
% 7.49/1.83 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 7.49/1.83 $i(v0) | ~ size(v1, v4, v8) | ~ size(v0, v3, v7) | ~ class(v1, v2, v8) |
% 7.49/1.83 ~ class(v0, v2, v7) | ~ greater(v4, v3) | ~ inertia(v1, v6, v8) | ~
% 7.49/1.83 inertia(v0, v5, v7) | ~ organization(v1, v8) | ~ organization(v0, v7) |
% 7.49/1.83 greater(v6, v5))
% 7.49/1.83
% 7.49/1.83 (mp5)
% 7.49/1.84 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) |
% 7.49/1.84 ? [v2: $i] : ($i(v2) & inertia(v0, v2, v1)))
% 7.49/1.84
% 7.49/1.84 (t9_FOL)
% 7.49/1.84 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 7.49/1.84 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v8) & $i(v7) & $i(v6) &
% 7.49/1.84 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & size(v1, v6, v8) &
% 7.49/1.84 size(v0, v5, v7) & class(v1, v2, v8) & class(v0, v2, v7) & greater(v6, v5) &
% 7.49/1.84 reproducibility(v1, v4, v8) & reproducibility(v0, v3, v7) &
% 7.49/1.84 reorganization_free(v1, v8, v8) & reorganization_free(v0, v7, v7) &
% 7.49/1.84 organization(v1, v8) & organization(v0, v7) & ~ greater(v4, v3))
% 7.49/1.84
% 7.49/1.84 Those formulas are unsatisfiable:
% 7.49/1.84 ---------------------------------
% 7.49/1.84
% 7.49/1.84 Begin of proof
% 7.49/1.84 |
% 7.49/1.84 | ALPHA: (a3_FOL) implies:
% 7.49/1.84 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 7.49/1.84 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~
% 7.49/1.84 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 7.49/1.84 | ~ greater(v7, v6) | ~ reproducibility(v1, v5, v3) | ~
% 7.49/1.84 | reproducibility(v0, v4, v2) | ~ reorganization_free(v1, v3, v3) | ~
% 7.49/1.84 | reorganization_free(v0, v2, v2) | ~ inertia(v1, v7, v3) | ~
% 7.49/1.84 | inertia(v0, v6, v2) | ~ organization(v1, v3) | ~ organization(v0,
% 7.49/1.84 | v2) | greater(v5, v4))
% 7.49/1.84 |
% 7.49/1.85 | DELTA: instantiating (t9_FOL) with fresh symbols all_5_0, all_5_1, all_5_2,
% 7.49/1.85 | all_5_3, all_5_4, all_5_5, all_5_6, all_5_7, all_5_8 gives:
% 7.49/1.85 | (2) $i(all_5_0) & $i(all_5_1) & $i(all_5_2) & $i(all_5_3) & $i(all_5_4) &
% 7.49/1.85 | $i(all_5_5) & $i(all_5_6) & $i(all_5_7) & $i(all_5_8) & size(all_5_7,
% 7.49/1.85 | all_5_2, all_5_0) & size(all_5_8, all_5_3, all_5_1) & class(all_5_7,
% 7.49/1.85 | all_5_6, all_5_0) & class(all_5_8, all_5_6, all_5_1) &
% 7.49/1.85 | greater(all_5_2, all_5_3) & reproducibility(all_5_7, all_5_4, all_5_0)
% 7.49/1.85 | & reproducibility(all_5_8, all_5_5, all_5_1) &
% 7.49/1.85 | reorganization_free(all_5_7, all_5_0, all_5_0) &
% 7.49/1.85 | reorganization_free(all_5_8, all_5_1, all_5_1) & organization(all_5_7,
% 7.49/1.85 | all_5_0) & organization(all_5_8, all_5_1) & ~ greater(all_5_4,
% 7.49/1.85 | all_5_5)
% 7.49/1.85 |
% 7.49/1.85 | ALPHA: (2) implies:
% 7.49/1.85 | (3) ~ greater(all_5_4, all_5_5)
% 7.49/1.85 | (4) organization(all_5_8, all_5_1)
% 7.49/1.85 | (5) organization(all_5_7, all_5_0)
% 7.49/1.85 | (6) reorganization_free(all_5_8, all_5_1, all_5_1)
% 7.49/1.85 | (7) reorganization_free(all_5_7, all_5_0, all_5_0)
% 7.49/1.85 | (8) reproducibility(all_5_8, all_5_5, all_5_1)
% 7.49/1.85 | (9) reproducibility(all_5_7, all_5_4, all_5_0)
% 7.49/1.85 | (10) greater(all_5_2, all_5_3)
% 7.49/1.85 | (11) class(all_5_8, all_5_6, all_5_1)
% 7.49/1.85 | (12) class(all_5_7, all_5_6, all_5_0)
% 7.49/1.85 | (13) size(all_5_8, all_5_3, all_5_1)
% 7.49/1.85 | (14) size(all_5_7, all_5_2, all_5_0)
% 7.49/1.86 | (15) $i(all_5_8)
% 7.49/1.86 | (16) $i(all_5_7)
% 7.49/1.86 | (17) $i(all_5_6)
% 7.49/1.86 | (18) $i(all_5_5)
% 7.49/1.86 | (19) $i(all_5_4)
% 7.49/1.86 | (20) $i(all_5_3)
% 7.49/1.86 | (21) $i(all_5_2)
% 7.49/1.86 | (22) $i(all_5_1)
% 7.49/1.86 | (23) $i(all_5_0)
% 7.49/1.86 |
% 7.49/1.86 | GROUND_INST: instantiating (mp5) with all_5_8, all_5_1, simplifying with (4),
% 7.49/1.86 | (15), (22) gives:
% 7.49/1.86 | (24) ? [v0: $i] : ($i(v0) & inertia(all_5_8, v0, all_5_1))
% 7.49/1.86 |
% 7.49/1.86 | GROUND_INST: instantiating (mp5) with all_5_7, all_5_0, simplifying with (5),
% 7.49/1.86 | (16), (23) gives:
% 7.49/1.86 | (25) ? [v0: $i] : ($i(v0) & inertia(all_5_7, v0, all_5_0))
% 7.49/1.86 |
% 7.49/1.86 | DELTA: instantiating (25) with fresh symbol all_12_0 gives:
% 7.49/1.86 | (26) $i(all_12_0) & inertia(all_5_7, all_12_0, all_5_0)
% 7.49/1.86 |
% 7.49/1.86 | ALPHA: (26) implies:
% 7.49/1.86 | (27) inertia(all_5_7, all_12_0, all_5_0)
% 7.49/1.86 | (28) $i(all_12_0)
% 7.49/1.86 |
% 7.49/1.86 | DELTA: instantiating (24) with fresh symbol all_14_0 gives:
% 7.49/1.86 | (29) $i(all_14_0) & inertia(all_5_8, all_14_0, all_5_1)
% 7.49/1.86 |
% 7.49/1.86 | ALPHA: (29) implies:
% 7.49/1.86 | (30) inertia(all_5_8, all_14_0, all_5_1)
% 7.49/1.86 | (31) $i(all_14_0)
% 7.49/1.86 |
% 7.49/1.86 | GROUND_INST: instantiating (a5_FOL) with all_5_8, all_5_7, all_5_6, all_5_3,
% 7.49/1.86 | all_5_2, all_14_0, all_12_0, all_5_1, all_5_0, simplifying with
% 7.49/1.86 | (4), (5), (10), (11), (12), (13), (14), (15), (16), (17), (20),
% 7.83/1.86 | (21), (22), (23), (27), (28), (30), (31) gives:
% 7.83/1.86 | (32) greater(all_12_0, all_14_0)
% 7.83/1.86 |
% 7.83/1.87 | GROUND_INST: instantiating (1) with all_5_8, all_5_7, all_5_1, all_5_0,
% 7.83/1.87 | all_5_5, all_5_4, all_14_0, all_12_0, simplifying with (3), (4),
% 7.83/1.87 | (5), (6), (7), (8), (9), (15), (16), (18), (19), (22), (23),
% 7.83/1.87 | (27), (28), (30), (31), (32) gives:
% 7.83/1.87 | (33) $false
% 7.84/1.87 |
% 7.84/1.87 | CLOSE: (33) is inconsistent.
% 7.84/1.87 |
% 7.84/1.87 End of proof
% 7.84/1.87 % SZS output end Proof for theBenchmark
% 7.84/1.87
% 7.84/1.87 1267ms
%------------------------------------------------------------------------------