TSTP Solution File: MGT059+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n011.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 09:16:31 EDT 2023
% Result : Theorem 4.63s 1.39s
% Output : Proof 7.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 06:14:10 EDT 2023
% 0.13/0.34 % 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.
% 0.18/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.46/1.01 Prover 4: Preprocessing ...
% 2.46/1.01 Prover 1: Preprocessing ...
% 2.73/1.05 Prover 2: Preprocessing ...
% 2.73/1.05 Prover 3: Preprocessing ...
% 2.73/1.05 Prover 5: Preprocessing ...
% 2.73/1.05 Prover 0: Preprocessing ...
% 2.73/1.05 Prover 6: Preprocessing ...
% 4.34/1.27 Prover 2: Proving ...
% 4.34/1.27 Prover 5: Proving ...
% 4.34/1.27 Prover 1: Constructing countermodel ...
% 4.34/1.28 Prover 6: Constructing countermodel ...
% 4.34/1.28 Prover 3: Constructing countermodel ...
% 4.63/1.37 Prover 4: Constructing countermodel ...
% 4.63/1.37 Prover 3: gave up
% 4.63/1.38 Prover 6: gave up
% 4.63/1.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.63/1.38 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.63/1.38 Prover 1: gave up
% 4.63/1.38 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 4.63/1.39 Prover 5: proved (774ms)
% 4.63/1.39
% 4.63/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.63/1.39
% 4.63/1.39 Prover 2: stopped
% 4.63/1.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.25/1.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.34/1.42 Prover 7: Preprocessing ...
% 5.34/1.43 Prover 8: Preprocessing ...
% 5.34/1.43 Prover 9: Preprocessing ...
% 5.34/1.43 Prover 11: Preprocessing ...
% 5.34/1.44 Prover 10: Preprocessing ...
% 5.34/1.45 Prover 0: Proving ...
% 5.34/1.45 Prover 0: stopped
% 5.34/1.45 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.34/1.48 Prover 13: Preprocessing ...
% 5.34/1.49 Prover 10: Warning: ignoring some quantifiers
% 5.34/1.49 Prover 10: Constructing countermodel ...
% 6.04/1.51 Prover 7: Warning: ignoring some quantifiers
% 6.04/1.53 Prover 7: Constructing countermodel ...
% 6.04/1.54 Prover 10: Found proof (size 7)
% 6.04/1.54 Prover 10: proved (145ms)
% 6.04/1.54 Prover 4: stopped
% 6.04/1.54 Prover 7: stopped
% 6.04/1.54 Prover 13: Warning: ignoring some quantifiers
% 6.04/1.54 Prover 8: Warning: ignoring some quantifiers
% 6.04/1.55 Prover 13: Constructing countermodel ...
% 6.04/1.55 Prover 8: Constructing countermodel ...
% 6.04/1.56 Prover 13: stopped
% 6.04/1.56 Prover 8: stopped
% 6.69/1.59 Prover 9: Constructing countermodel ...
% 6.69/1.60 Prover 9: stopped
% 6.69/1.64 Prover 11: Constructing countermodel ...
% 6.69/1.65 Prover 11: stopped
% 6.69/1.65
% 6.69/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.69/1.65
% 6.69/1.65 % SZS output start Proof for theBenchmark
% 6.69/1.66 Assumptions after simplification:
% 6.69/1.66 ---------------------------------
% 6.69/1.66
% 6.69/1.66 (assumption_17)
% 7.19/1.69 $i(high) & $i(mod2) & $i(mod1) & $i(low) & $i(very_low) & ! [v0: $i] : !
% 7.19/1.69 [v1: $i] : ! [v2: $i] : (v2 = high | ~ (hazard_of_mortality(v0, v1) = v2) |
% 7.19/1.69 ~ $i(v1) | ~ $i(v0) | ~ organization(v0) | positional_advantage(v0, v1) |
% 7.19/1.69 is_aligned(v0, v1) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: $i] : !
% 7.19/1.69 [v2: $i] : (v2 = mod2 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~
% 7.19/1.69 $i(v0) | ~ is_aligned(v0, v1) | ~ organization(v0) |
% 7.19/1.69 positional_advantage(v0, v1) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1:
% 7.19/1.69 $i] : ! [v2: $i] : (v2 = mod1 | ~ (hazard_of_mortality(v0, v1) = v2) | ~
% 7.19/1.69 $i(v1) | ~ $i(v0) | ~ positional_advantage(v0, v1) | ~ organization(v0) |
% 7.19/1.69 is_aligned(v0, v1) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: $i] : !
% 7.19/1.69 [v2: $i] : (v2 = low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~
% 7.19/1.69 $i(v0) | ~ positional_advantage(v0, v1) | ~ is_aligned(v0, v1) | ~
% 7.19/1.69 organization(v0) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: $i] : !
% 7.19/1.69 [v2: $i] : (v2 = very_low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1)
% 7.19/1.69 | ~ $i(v0) | ~ has_immunity(v0, v1) | ~ organization(v0))
% 7.19/1.69
% 7.19/1.69 (assumption_2)
% 7.21/1.70 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ( ~ (v4
% 7.21/1.70 = v3) & hazard_of_mortality(v0, v2) = v4 & hazard_of_mortality(v0, v1) =
% 7.21/1.70 v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & has_immunity(v0, v2) &
% 7.21/1.70 has_immunity(v0, v1) & organization(v0))
% 7.21/1.70
% 7.21/1.70 Further assumptions not needed in the proof:
% 7.21/1.70 --------------------------------------------
% 7.21/1.70 definition_greater_or_equal, definition_smaller, definition_smaller_or_equal,
% 7.21/1.70 meaning_postulate_greater_comparable, meaning_postulate_greater_strict,
% 7.21/1.70 meaning_postulate_greater_transitive
% 7.21/1.70
% 7.21/1.70 Those formulas are unsatisfiable:
% 7.21/1.70 ---------------------------------
% 7.21/1.70
% 7.21/1.70 Begin of proof
% 7.21/1.70 |
% 7.21/1.70 | ALPHA: (assumption_17) implies:
% 7.21/1.70 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = very_low | ~
% 7.21/1.70 | (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 7.21/1.70 | has_immunity(v0, v1) | ~ organization(v0))
% 7.21/1.70 |
% 7.25/1.70 | DELTA: instantiating (assumption_2) with fresh symbols all_13_0, all_13_1,
% 7.25/1.70 | all_13_2, all_13_3, all_13_4 gives:
% 7.25/1.70 | (2) ~ (all_13_0 = all_13_1) & hazard_of_mortality(all_13_4, all_13_2) =
% 7.25/1.70 | all_13_0 & hazard_of_mortality(all_13_4, all_13_3) = all_13_1 &
% 7.25/1.70 | $i(all_13_0) & $i(all_13_1) & $i(all_13_2) & $i(all_13_3) &
% 7.25/1.70 | $i(all_13_4) & has_immunity(all_13_4, all_13_2) &
% 7.25/1.70 | has_immunity(all_13_4, all_13_3) & organization(all_13_4)
% 7.25/1.70 |
% 7.25/1.70 | ALPHA: (2) implies:
% 7.26/1.71 | (3) ~ (all_13_0 = all_13_1)
% 7.26/1.71 | (4) organization(all_13_4)
% 7.26/1.71 | (5) has_immunity(all_13_4, all_13_3)
% 7.26/1.71 | (6) has_immunity(all_13_4, all_13_2)
% 7.26/1.71 | (7) $i(all_13_4)
% 7.26/1.71 | (8) $i(all_13_3)
% 7.26/1.71 | (9) $i(all_13_2)
% 7.26/1.71 | (10) hazard_of_mortality(all_13_4, all_13_3) = all_13_1
% 7.26/1.71 | (11) hazard_of_mortality(all_13_4, all_13_2) = all_13_0
% 7.26/1.71 |
% 7.26/1.71 | GROUND_INST: instantiating (1) with all_13_4, all_13_3, all_13_1, simplifying
% 7.26/1.71 | with (4), (5), (7), (8), (10) gives:
% 7.26/1.71 | (12) all_13_1 = very_low
% 7.26/1.71 |
% 7.26/1.71 | GROUND_INST: instantiating (1) with all_13_4, all_13_2, all_13_0, simplifying
% 7.26/1.71 | with (4), (6), (7), (9), (11) gives:
% 7.26/1.71 | (13) all_13_0 = very_low
% 7.26/1.71 |
% 7.26/1.71 | REDUCE: (3), (12), (13) imply:
% 7.26/1.71 | (14) $false
% 7.26/1.71 |
% 7.26/1.71 | CLOSE: (14) is inconsistent.
% 7.26/1.71 |
% 7.26/1.71 End of proof
% 7.26/1.71 % SZS output end Proof for theBenchmark
% 7.26/1.71
% 7.26/1.71 1121ms
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