TSTP Solution File: MGT001+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT001+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 09:16:06 EDT 2023
% Result : Theorem 5.95s 1.54s
% Output : Proof 9.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n021.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 : Mon Aug 28 06:18:28 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.
% 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 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
% 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.19/0.97 Prover 4: Preprocessing ...
% 2.19/0.98 Prover 1: Preprocessing ...
% 2.19/1.01 Prover 0: Preprocessing ...
% 2.19/1.01 Prover 6: Preprocessing ...
% 2.19/1.02 Prover 2: Preprocessing ...
% 2.19/1.02 Prover 5: Preprocessing ...
% 2.19/1.02 Prover 3: Preprocessing ...
% 4.03/1.23 Prover 5: Constructing countermodel ...
% 4.03/1.23 Prover 2: Constructing countermodel ...
% 4.33/1.27 Prover 3: Constructing countermodel ...
% 4.33/1.27 Prover 6: Constructing countermodel ...
% 4.33/1.28 Prover 1: Constructing countermodel ...
% 5.95/1.53 Prover 5: proved (913ms)
% 5.95/1.53
% 5.95/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.95/1.54
% 5.95/1.54 Prover 3: stopped
% 5.95/1.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.95/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.95/1.54 Prover 6: stopped
% 6.32/1.56 Prover 2: stopped
% 6.32/1.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.32/1.57 Prover 7: Preprocessing ...
% 6.32/1.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.32/1.58 Prover 8: Preprocessing ...
% 6.32/1.58 Prover 10: Preprocessing ...
% 6.32/1.61 Prover 11: Preprocessing ...
% 6.32/1.63 Prover 7: Constructing countermodel ...
% 7.05/1.66 Prover 8: Warning: ignoring some quantifiers
% 7.05/1.66 Prover 10: Constructing countermodel ...
% 7.05/1.66 Prover 8: Constructing countermodel ...
% 8.12/1.81 Prover 10: Found proof (size 27)
% 8.12/1.81 Prover 10: proved (247ms)
% 8.12/1.81 Prover 11: stopped
% 8.12/1.81 Prover 1: stopped
% 8.12/1.81 Prover 8: stopped
% 8.12/1.81 Prover 7: stopped
% 8.48/1.95 Prover 4: Constructing countermodel ...
% 9.08/1.96 Prover 4: stopped
% 9.08/1.99 Prover 0: Proving ...
% 9.08/1.99 Prover 0: stopped
% 9.08/1.99
% 9.08/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.08/2.00
% 9.27/2.00 % SZS output start Proof for theBenchmark
% 9.27/2.00 Assumptions after simplification:
% 9.27/2.00 ---------------------------------
% 9.27/2.00
% 9.27/2.00 (a1_FOL)
% 9.27/2.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 9.27/2.01 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) |
% 9.27/2.01 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 9.27/2.01 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v5, v4) | ~ greater(v3, v2) |
% 9.27/2.01 ~ survival_chance(v1, v7, v9) | ~ survival_chance(v0, v6, v8) | ~
% 9.27/2.01 accountability(v1, v5, v9) | ~ accountability(v0, v4, v8) | ~
% 9.27/2.01 reliability(v1, v3, v9) | ~ reliability(v0, v2, v8) | ~ organization(v1,
% 9.27/2.01 v9) | ~ organization(v0, v8) | greater(v7, v6))
% 9.27/2.01
% 9.27/2.01 (a2_FOL)
% 9.27/2.02 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 9.27/2.02 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) |
% 9.27/2.02 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 9.27/2.02 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~ reproducibility(v1,
% 9.27/2.02 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) |
% 9.27/2.02 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~
% 9.27/2.02 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2)
% 9.27/2.02 | greater(v7, v6)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 9.27/2.02 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9:
% 9.27/2.02 $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 9.27/2.02 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~
% 9.27/2.02 reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~
% 9.27/2.02 accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~
% 9.27/2.02 reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1,
% 9.27/2.02 v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0: $i] : ! [v1:
% 9.27/2.02 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 9.27/2.02 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) |
% 9.27/2.02 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 9.27/2.02 $i(v0) | ~ greater(v7, v6) | ~ greater(v5, v4) | ~ reproducibility(v1,
% 9.27/2.02 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) |
% 9.27/2.02 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~
% 9.27/2.02 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2)
% 9.27/2.02 | greater(v9, v8))
% 9.27/2.02
% 9.27/2.02 (a3_FOL)
% 9.27/2.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 9.27/2.03 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 9.27/2.03 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ inertia(v1, v7,
% 9.27/2.03 v3) | ~ inertia(v0, v6, v2) | ~ reorganization_free(v1, v3, v3) | ~
% 9.27/2.03 reorganization_free(v0, v2, v2) | ~ greater(v7, v6) | ~
% 9.27/2.03 reproducibility(v1, v5, v3) | ~ reproducibility(v0, v4, v2) | ~
% 9.27/2.03 organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0:
% 9.27/2.03 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 9.27/2.03 ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 9.27/2.03 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ inertia(v1, v7, v3) | ~
% 9.27/2.03 inertia(v0, v6, v2) | ~ reorganization_free(v1, v3, v3) | ~
% 9.27/2.03 reorganization_free(v0, v2, v2) | ~ greater(v5, v4) | ~
% 9.27/2.03 reproducibility(v1, v5, v3) | ~ reproducibility(v0, v4, v2) | ~
% 9.27/2.03 organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6))
% 9.27/2.03
% 9.27/2.03 (mp1)
% 9.27/2.03 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) |
% 9.27/2.03 ? [v2: $i] : ($i(v2) & reliability(v0, v2, v1)))
% 9.27/2.03
% 9.27/2.03 (mp2)
% 9.27/2.03 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) |
% 9.27/2.03 ? [v2: $i] : ($i(v2) & accountability(v0, v2, v1)))
% 9.27/2.03
% 9.27/2.03 (mp3)
% 9.27/2.03 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) |
% 9.27/2.03 ? [v2: $i] : ($i(v2) & reproducibility(v0, v2, v1)))
% 9.27/2.03
% 9.27/2.03 (t1_FOL)
% 9.27/2.03 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 9.27/2.03 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 9.27/2.03 $i(v3) & $i(v2) & $i(v1) & $i(v0) & inertia(v1, v5, v3) & inertia(v0, v4,
% 9.27/2.03 v2) & reorganization_free(v1, v3, v3) & reorganization_free(v0, v2, v2) &
% 9.27/2.03 greater(v5, v4) & survival_chance(v1, v7, v3) & survival_chance(v0, v6, v2)
% 9.27/2.03 & organization(v1, v3) & organization(v0, v2) & ~ greater(v7, v6))
% 9.27/2.03
% 9.27/2.03 Those formulas are unsatisfiable:
% 9.27/2.03 ---------------------------------
% 9.27/2.03
% 9.27/2.03 Begin of proof
% 9.27/2.03 |
% 9.27/2.03 | ALPHA: (a3_FOL) implies:
% 9.27/2.03 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 9.27/2.03 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~
% 9.27/2.03 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 9.27/2.03 | ~ inertia(v1, v7, v3) | ~ inertia(v0, v6, v2) | ~
% 9.27/2.03 | reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2)
% 9.27/2.03 | | ~ greater(v7, v6) | ~ reproducibility(v1, v5, v3) | ~
% 9.27/2.03 | reproducibility(v0, v4, v2) | ~ organization(v1, v3) | ~
% 9.27/2.03 | organization(v0, v2) | greater(v5, v4))
% 9.27/2.03 |
% 9.27/2.03 | ALPHA: (a2_FOL) implies:
% 9.27/2.04 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 9.27/2.04 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (
% 9.27/2.04 | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 9.27/2.04 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8)
% 9.27/2.04 | | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) |
% 9.27/2.04 | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~
% 9.27/2.04 | reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~
% 9.27/2.04 | organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4))
% 9.27/2.04 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 9.27/2.04 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (
% 9.27/2.04 | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 9.27/2.04 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8)
% 9.27/2.04 | | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) |
% 9.27/2.04 | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~
% 9.27/2.04 | reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~
% 9.27/2.04 | organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6))
% 9.27/2.04 |
% 9.27/2.04 | DELTA: instantiating (t1_FOL) with fresh symbols all_8_0, all_8_1, all_8_2,
% 9.27/2.04 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7 gives:
% 9.27/2.04 | (4) $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) &
% 9.27/2.04 | $i(all_8_5) & $i(all_8_6) & $i(all_8_7) & inertia(all_8_6, all_8_2,
% 9.27/2.04 | all_8_4) & inertia(all_8_7, all_8_3, all_8_5) &
% 9.27/2.04 | reorganization_free(all_8_6, all_8_4, all_8_4) &
% 9.27/2.04 | reorganization_free(all_8_7, all_8_5, all_8_5) & greater(all_8_2,
% 9.27/2.04 | all_8_3) & survival_chance(all_8_6, all_8_0, all_8_4) &
% 9.27/2.04 | survival_chance(all_8_7, all_8_1, all_8_5) & organization(all_8_6,
% 9.27/2.04 | all_8_4) & organization(all_8_7, all_8_5) & ~ greater(all_8_0,
% 9.27/2.04 | all_8_1)
% 9.27/2.04 |
% 9.27/2.04 | ALPHA: (4) implies:
% 9.27/2.04 | (5) ~ greater(all_8_0, all_8_1)
% 9.27/2.04 | (6) organization(all_8_7, all_8_5)
% 9.27/2.04 | (7) organization(all_8_6, all_8_4)
% 9.27/2.04 | (8) survival_chance(all_8_7, all_8_1, all_8_5)
% 9.27/2.04 | (9) survival_chance(all_8_6, all_8_0, all_8_4)
% 9.27/2.04 | (10) greater(all_8_2, all_8_3)
% 9.27/2.04 | (11) reorganization_free(all_8_7, all_8_5, all_8_5)
% 9.27/2.04 | (12) reorganization_free(all_8_6, all_8_4, all_8_4)
% 9.27/2.04 | (13) inertia(all_8_7, all_8_3, all_8_5)
% 9.27/2.04 | (14) inertia(all_8_6, all_8_2, all_8_4)
% 9.27/2.04 | (15) $i(all_8_7)
% 9.27/2.04 | (16) $i(all_8_6)
% 9.27/2.04 | (17) $i(all_8_5)
% 9.27/2.04 | (18) $i(all_8_4)
% 9.27/2.04 | (19) $i(all_8_3)
% 9.27/2.04 | (20) $i(all_8_2)
% 9.27/2.04 | (21) $i(all_8_1)
% 9.27/2.05 | (22) $i(all_8_0)
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (mp3) with all_8_7, all_8_5, simplifying with (6),
% 9.27/2.05 | (15), (17) gives:
% 9.27/2.05 | (23) ? [v0: $i] : ($i(v0) & reproducibility(all_8_7, v0, all_8_5))
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (mp2) with all_8_7, all_8_5, simplifying with (6),
% 9.27/2.05 | (15), (17) gives:
% 9.27/2.05 | (24) ? [v0: $i] : ($i(v0) & accountability(all_8_7, v0, all_8_5))
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (mp1) with all_8_7, all_8_5, simplifying with (6),
% 9.27/2.05 | (15), (17) gives:
% 9.27/2.05 | (25) ? [v0: $i] : ($i(v0) & reliability(all_8_7, v0, all_8_5))
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (mp3) with all_8_6, all_8_4, simplifying with (7),
% 9.27/2.05 | (16), (18) gives:
% 9.27/2.05 | (26) ? [v0: $i] : ($i(v0) & reproducibility(all_8_6, v0, all_8_4))
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (mp2) with all_8_6, all_8_4, simplifying with (7),
% 9.27/2.05 | (16), (18) gives:
% 9.27/2.05 | (27) ? [v0: $i] : ($i(v0) & accountability(all_8_6, v0, all_8_4))
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (mp1) with all_8_6, all_8_4, simplifying with (7),
% 9.27/2.05 | (16), (18) gives:
% 9.27/2.05 | (28) ? [v0: $i] : ($i(v0) & reliability(all_8_6, v0, all_8_4))
% 9.27/2.05 |
% 9.27/2.05 | DELTA: instantiating (28) with fresh symbol all_15_0 gives:
% 9.27/2.05 | (29) $i(all_15_0) & reliability(all_8_6, all_15_0, all_8_4)
% 9.27/2.05 |
% 9.27/2.05 | ALPHA: (29) implies:
% 9.27/2.05 | (30) reliability(all_8_6, all_15_0, all_8_4)
% 9.27/2.05 | (31) $i(all_15_0)
% 9.27/2.05 |
% 9.27/2.05 | DELTA: instantiating (26) with fresh symbol all_17_0 gives:
% 9.27/2.05 | (32) $i(all_17_0) & reproducibility(all_8_6, all_17_0, all_8_4)
% 9.27/2.05 |
% 9.27/2.05 | ALPHA: (32) implies:
% 9.27/2.05 | (33) reproducibility(all_8_6, all_17_0, all_8_4)
% 9.27/2.05 | (34) $i(all_17_0)
% 9.27/2.05 |
% 9.27/2.05 | DELTA: instantiating (24) with fresh symbol all_19_0 gives:
% 9.27/2.05 | (35) $i(all_19_0) & accountability(all_8_7, all_19_0, all_8_5)
% 9.27/2.05 |
% 9.27/2.05 | ALPHA: (35) implies:
% 9.27/2.05 | (36) accountability(all_8_7, all_19_0, all_8_5)
% 9.27/2.05 | (37) $i(all_19_0)
% 9.27/2.05 |
% 9.27/2.05 | DELTA: instantiating (23) with fresh symbol all_21_0 gives:
% 9.27/2.05 | (38) $i(all_21_0) & reproducibility(all_8_7, all_21_0, all_8_5)
% 9.27/2.05 |
% 9.27/2.05 | ALPHA: (38) implies:
% 9.27/2.05 | (39) reproducibility(all_8_7, all_21_0, all_8_5)
% 9.27/2.05 | (40) $i(all_21_0)
% 9.27/2.05 |
% 9.27/2.05 | DELTA: instantiating (25) with fresh symbol all_23_0 gives:
% 9.27/2.05 | (41) $i(all_23_0) & reliability(all_8_7, all_23_0, all_8_5)
% 9.27/2.05 |
% 9.27/2.05 | ALPHA: (41) implies:
% 9.27/2.05 | (42) reliability(all_8_7, all_23_0, all_8_5)
% 9.27/2.05 | (43) $i(all_23_0)
% 9.27/2.05 |
% 9.27/2.05 | DELTA: instantiating (27) with fresh symbol all_25_0 gives:
% 9.27/2.05 | (44) $i(all_25_0) & accountability(all_8_6, all_25_0, all_8_4)
% 9.27/2.05 |
% 9.27/2.05 | ALPHA: (44) implies:
% 9.27/2.05 | (45) accountability(all_8_6, all_25_0, all_8_4)
% 9.27/2.05 | (46) $i(all_25_0)
% 9.27/2.05 |
% 9.27/2.05 | GROUND_INST: instantiating (1) with all_8_7, all_8_6, all_8_5, all_8_4,
% 9.27/2.06 | all_21_0, all_17_0, all_8_3, all_8_2, simplifying with (6), (7),
% 9.27/2.06 | (10), (11), (12), (13), (14), (15), (16), (17), (18), (19), (20),
% 9.27/2.06 | (33), (34), (39), (40) gives:
% 9.27/2.06 | (47) greater(all_17_0, all_21_0)
% 9.27/2.06 |
% 9.27/2.06 | GROUND_INST: instantiating (3) with all_8_7, all_8_6, all_8_5, all_8_4,
% 9.27/2.06 | all_23_0, all_15_0, all_19_0, all_25_0, all_21_0, all_17_0,
% 9.27/2.06 | simplifying with (6), (7), (15), (16), (17), (18), (30), (31),
% 9.27/2.06 | (33), (34), (36), (37), (39), (40), (42), (43), (45), (46), (47)
% 9.27/2.06 | gives:
% 9.27/2.06 | (48) greater(all_25_0, all_19_0)
% 9.27/2.06 |
% 9.27/2.06 | GROUND_INST: instantiating (2) with all_8_7, all_8_6, all_8_5, all_8_4,
% 9.27/2.06 | all_23_0, all_15_0, all_19_0, all_25_0, all_21_0, all_17_0,
% 9.27/2.06 | simplifying with (6), (7), (15), (16), (17), (18), (30), (31),
% 9.27/2.06 | (33), (34), (36), (37), (39), (40), (42), (43), (45), (46), (47)
% 9.27/2.06 | gives:
% 9.27/2.06 | (49) greater(all_15_0, all_23_0)
% 9.27/2.06 |
% 9.27/2.06 | GROUND_INST: instantiating (a1_FOL) with all_8_7, all_8_6, all_23_0, all_15_0,
% 9.27/2.06 | all_19_0, all_25_0, all_8_1, all_8_0, all_8_5, all_8_4,
% 9.27/2.06 | simplifying with (5), (6), (7), (8), (9), (15), (16), (17), (18),
% 9.27/2.06 | (21), (22), (30), (31), (36), (37), (42), (43), (45), (46), (48),
% 9.27/2.06 | (49) gives:
% 9.27/2.06 | (50) $false
% 9.27/2.06 |
% 9.27/2.06 | CLOSE: (50) is inconsistent.
% 9.27/2.06 |
% 9.27/2.06 End of proof
% 9.27/2.06 % SZS output end Proof for theBenchmark
% 9.27/2.07
% 9.27/2.07 1467ms
%------------------------------------------------------------------------------