TSTP Solution File: MGT007+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT007+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 : n005.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 09:16:08 EDT 2023
% Result : Theorem 6.27s 1.61s
% Output : Proof 10.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT007+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n005.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 06:06:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 ________ _____
% 0.19/0.58 ___ __ \_________(_)________________________________
% 0.19/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.58 (2023-06-19)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2023
% 0.19/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.58 Amanda Stjerna.
% 0.19/0.58 Free software under BSD-3-Clause.
% 0.19/0.58
% 0.19/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60 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
% 2.19/1.03 Prover 1: Preprocessing ...
% 2.19/1.03 Prover 4: Preprocessing ...
% 2.19/1.07 Prover 3: Preprocessing ...
% 2.19/1.07 Prover 5: Preprocessing ...
% 2.19/1.07 Prover 6: Preprocessing ...
% 2.19/1.07 Prover 0: Preprocessing ...
% 2.19/1.08 Prover 2: Preprocessing ...
% 4.12/1.28 Prover 5: Constructing countermodel ...
% 4.12/1.29 Prover 2: Constructing countermodel ...
% 4.12/1.32 Prover 3: Constructing countermodel ...
% 4.12/1.33 Prover 1: Constructing countermodel ...
% 4.12/1.34 Prover 6: Constructing countermodel ...
% 6.27/1.60 Prover 5: proved (983ms)
% 6.27/1.60
% 6.27/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.27/1.61
% 6.27/1.61 Prover 6: stopped
% 6.27/1.61 Prover 3: stopped
% 6.27/1.61 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.27/1.61 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.27/1.61 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.27/1.64 Prover 8: Preprocessing ...
% 6.27/1.65 Prover 7: Preprocessing ...
% 6.27/1.66 Prover 10: Preprocessing ...
% 6.27/1.66 Prover 2: stopped
% 6.99/1.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.99/1.69 Prover 7: Constructing countermodel ...
% 6.99/1.69 Prover 10: Constructing countermodel ...
% 7.21/1.70 Prover 11: Preprocessing ...
% 7.21/1.71 Prover 8: Warning: ignoring some quantifiers
% 7.43/1.73 Prover 8: Constructing countermodel ...
% 7.43/1.84 Prover 10: Found proof (size 20)
% 7.43/1.84 Prover 10: proved (224ms)
% 7.43/1.84 Prover 8: stopped
% 7.43/1.84 Prover 1: stopped
% 7.43/1.84 Prover 7: stopped
% 7.43/1.85 Prover 11: stopped
% 9.11/2.04 Prover 4: Constructing countermodel ...
% 9.53/2.06 Prover 4: stopped
% 9.66/2.08 Prover 0: Proving ...
% 9.66/2.09 Prover 0: stopped
% 9.66/2.09
% 9.66/2.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.66/2.09
% 9.66/2.10 % SZS output start Proof for theBenchmark
% 9.66/2.10 Assumptions after simplification:
% 9.66/2.10 ---------------------------------
% 9.66/2.10
% 9.66/2.10 (a2_FOL)
% 9.66/2.11 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 9.66/2.12 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) |
% 9.66/2.12 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 9.66/2.12 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~ reproducibility(v1,
% 9.66/2.12 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) |
% 9.66/2.12 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~
% 9.66/2.12 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2)
% 9.66/2.12 | greater(v7, v6)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 9.66/2.12 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9:
% 9.66/2.12 $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 9.66/2.12 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~
% 9.66/2.12 reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~
% 9.66/2.12 accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~
% 9.66/2.12 reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1,
% 9.66/2.12 v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0: $i] : ! [v1:
% 9.66/2.12 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 9.66/2.12 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) |
% 9.66/2.12 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 9.66/2.12 $i(v0) | ~ greater(v7, v6) | ~ greater(v5, v4) | ~ reproducibility(v1,
% 9.66/2.12 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) |
% 9.66/2.12 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~
% 9.66/2.12 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2)
% 9.66/2.12 | greater(v9, v8))
% 9.66/2.12
% 9.66/2.12 (a6_FOL)
% 9.88/2.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 9.88/2.13 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~
% 9.88/2.13 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 9.88/2.13 $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~
% 9.88/2.13 accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~
% 9.88/2.13 reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0,
% 9.88/2.13 v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) |
% 9.88/2.13 greater(v3, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 9.88/2.13 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 9.88/2.13 $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 9.88/2.13 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~
% 9.88/2.13 greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3,
% 9.88/2.13 v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~
% 9.88/2.13 organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) |
% 9.88/2.13 greater(v6, v8) | greater(v1, v2))
% 9.88/2.13
% 9.88/2.13 (mp1)
% 9.88/2.13 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) |
% 9.88/2.13 ? [v2: $i] : ($i(v2) & reliability(v0, v2, v1)))
% 9.88/2.13
% 9.88/2.13 (mp2)
% 9.88/2.13 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) |
% 9.88/2.13 ? [v2: $i] : ($i(v2) & accountability(v0, v2, v1)))
% 9.88/2.13
% 9.88/2.13 (t7_FOL)
% 9.88/2.13 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 9.88/2.13 $i] : ? [v6: $i] : ($i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 9.88/2.13 $i(v0) & reorganization(v0, v5, v6) & greater(v4, v3) & reproducibility(v0,
% 9.88/2.13 v2, v4) & reproducibility(v0, v1, v3) & organization(v0, v4) &
% 9.88/2.13 organization(v0, v3) & ~ greater(v5, v3) & ~ greater(v4, v6) & ~
% 9.88/2.13 greater(v1, v2))
% 9.88/2.13
% 9.88/2.13 Further assumptions not needed in the proof:
% 9.88/2.13 --------------------------------------------
% 9.88/2.13 mp_not_in_TR
% 9.88/2.13
% 9.88/2.13 Those formulas are unsatisfiable:
% 9.88/2.13 ---------------------------------
% 9.88/2.13
% 9.88/2.13 Begin of proof
% 9.88/2.14 |
% 9.88/2.14 | ALPHA: (a6_FOL) implies:
% 9.88/2.14 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 9.88/2.14 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~
% 9.88/2.14 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 9.88/2.14 | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6,
% 9.88/2.14 | v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5)
% 9.88/2.14 | | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~
% 9.88/2.14 | organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) |
% 9.88/2.14 | greater(v6, v8) | greater(v1, v2))
% 9.88/2.15 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 9.88/2.15 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~
% 9.88/2.15 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 9.88/2.15 | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6,
% 9.88/2.15 | v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5)
% 9.88/2.15 | | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~
% 10.01/2.15 | organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) |
% 10.01/2.15 | greater(v6, v8) | greater(v3, v4))
% 10.01/2.15 |
% 10.01/2.15 | ALPHA: (a2_FOL) implies:
% 10.01/2.15 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 10.01/2.15 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (
% 10.01/2.15 | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 10.01/2.15 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v7, v6)
% 10.01/2.15 | | ~ greater(v5, v4) | ~ reproducibility(v1, v9, v3) | ~
% 10.01/2.15 | reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~
% 10.01/2.15 | accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~
% 10.01/2.15 | reliability(v0, v4, v2) | ~ organization(v1, v3) | ~
% 10.01/2.15 | organization(v0, v2) | greater(v9, v8))
% 10.01/2.15 |
% 10.01/2.15 | DELTA: instantiating (t7_FOL) with fresh symbols all_7_0, all_7_1, all_7_2,
% 10.01/2.15 | all_7_3, all_7_4, all_7_5, all_7_6 gives:
% 10.01/2.16 | (4) $i(all_7_0) & $i(all_7_1) & $i(all_7_2) & $i(all_7_3) & $i(all_7_4) &
% 10.01/2.16 | $i(all_7_5) & $i(all_7_6) & reorganization(all_7_6, all_7_1, all_7_0) &
% 10.01/2.16 | greater(all_7_2, all_7_3) & reproducibility(all_7_6, all_7_4, all_7_2)
% 10.01/2.16 | & reproducibility(all_7_6, all_7_5, all_7_3) & organization(all_7_6,
% 10.01/2.16 | all_7_2) & organization(all_7_6, all_7_3) & ~ greater(all_7_1,
% 10.01/2.16 | all_7_3) & ~ greater(all_7_2, all_7_0) & ~ greater(all_7_5,
% 10.01/2.16 | all_7_4)
% 10.01/2.16 |
% 10.01/2.16 | ALPHA: (4) implies:
% 10.01/2.16 | (5) ~ greater(all_7_5, all_7_4)
% 10.01/2.16 | (6) ~ greater(all_7_2, all_7_0)
% 10.01/2.16 | (7) ~ greater(all_7_1, all_7_3)
% 10.01/2.16 | (8) organization(all_7_6, all_7_3)
% 10.01/2.16 | (9) organization(all_7_6, all_7_2)
% 10.01/2.16 | (10) reproducibility(all_7_6, all_7_5, all_7_3)
% 10.01/2.16 | (11) reproducibility(all_7_6, all_7_4, all_7_2)
% 10.01/2.16 | (12) greater(all_7_2, all_7_3)
% 10.01/2.16 | (13) reorganization(all_7_6, all_7_1, all_7_0)
% 10.01/2.16 | (14) $i(all_7_6)
% 10.01/2.16 | (15) $i(all_7_5)
% 10.01/2.16 | (16) $i(all_7_4)
% 10.01/2.16 | (17) $i(all_7_3)
% 10.01/2.16 | (18) $i(all_7_2)
% 10.01/2.16 | (19) $i(all_7_1)
% 10.01/2.16 | (20) $i(all_7_0)
% 10.01/2.16 |
% 10.01/2.16 | GROUND_INST: instantiating (mp2) with all_7_6, all_7_3, simplifying with (8),
% 10.01/2.16 | (14), (17) gives:
% 10.01/2.16 | (21) ? [v0: $i] : ($i(v0) & accountability(all_7_6, v0, all_7_3))
% 10.01/2.16 |
% 10.01/2.16 | GROUND_INST: instantiating (mp1) with all_7_6, all_7_3, simplifying with (8),
% 10.01/2.16 | (14), (17) gives:
% 10.01/2.16 | (22) ? [v0: $i] : ($i(v0) & reliability(all_7_6, v0, all_7_3))
% 10.01/2.16 |
% 10.01/2.16 | GROUND_INST: instantiating (mp2) with all_7_6, all_7_2, simplifying with (9),
% 10.01/2.16 | (14), (18) gives:
% 10.01/2.16 | (23) ? [v0: $i] : ($i(v0) & accountability(all_7_6, v0, all_7_2))
% 10.01/2.16 |
% 10.01/2.16 | GROUND_INST: instantiating (mp1) with all_7_6, all_7_2, simplifying with (9),
% 10.01/2.16 | (14), (18) gives:
% 10.01/2.16 | (24) ? [v0: $i] : ($i(v0) & reliability(all_7_6, v0, all_7_2))
% 10.01/2.16 |
% 10.01/2.16 | DELTA: instantiating (24) with fresh symbol all_14_0 gives:
% 10.01/2.16 | (25) $i(all_14_0) & reliability(all_7_6, all_14_0, all_7_2)
% 10.01/2.16 |
% 10.01/2.16 | ALPHA: (25) implies:
% 10.01/2.17 | (26) reliability(all_7_6, all_14_0, all_7_2)
% 10.01/2.17 | (27) $i(all_14_0)
% 10.01/2.17 |
% 10.01/2.17 | DELTA: instantiating (21) with fresh symbol all_18_0 gives:
% 10.01/2.17 | (28) $i(all_18_0) & accountability(all_7_6, all_18_0, all_7_3)
% 10.01/2.17 |
% 10.01/2.17 | ALPHA: (28) implies:
% 10.01/2.17 | (29) accountability(all_7_6, all_18_0, all_7_3)
% 10.01/2.17 | (30) $i(all_18_0)
% 10.01/2.17 |
% 10.01/2.17 | DELTA: instantiating (22) with fresh symbol all_22_0 gives:
% 10.01/2.17 | (31) $i(all_22_0) & reliability(all_7_6, all_22_0, all_7_3)
% 10.01/2.17 |
% 10.01/2.17 | ALPHA: (31) implies:
% 10.01/2.17 | (32) reliability(all_7_6, all_22_0, all_7_3)
% 10.01/2.17 | (33) $i(all_22_0)
% 10.01/2.17 |
% 10.01/2.17 | DELTA: instantiating (23) with fresh symbol all_24_0 gives:
% 10.01/2.17 | (34) $i(all_24_0) & accountability(all_7_6, all_24_0, all_7_2)
% 10.01/2.17 |
% 10.01/2.17 | ALPHA: (34) implies:
% 10.01/2.17 | (35) accountability(all_7_6, all_24_0, all_7_2)
% 10.01/2.17 | (36) $i(all_24_0)
% 10.01/2.17 |
% 10.01/2.17 | GROUND_INST: instantiating (2) with all_7_6, all_22_0, all_14_0, all_18_0,
% 10.01/2.17 | all_24_0, all_7_3, all_7_2, all_7_1, all_7_0, simplifying with
% 10.01/2.17 | (6), (7), (8), (9), (12), (13), (14), (17), (18), (19), (20),
% 10.01/2.17 | (26), (27), (29), (30), (32), (33), (35), (36) gives:
% 10.01/2.17 | (37) greater(all_18_0, all_24_0)
% 10.01/2.17 |
% 10.01/2.17 | GROUND_INST: instantiating (1) with all_7_6, all_22_0, all_14_0, all_18_0,
% 10.01/2.17 | all_24_0, all_7_3, all_7_2, all_7_1, all_7_0, simplifying with
% 10.01/2.17 | (6), (7), (8), (9), (12), (13), (14), (17), (18), (19), (20),
% 10.01/2.17 | (26), (27), (29), (30), (32), (33), (35), (36) gives:
% 10.01/2.17 | (38) greater(all_22_0, all_14_0)
% 10.01/2.17 |
% 10.01/2.18 | GROUND_INST: instantiating (3) with all_7_6, all_7_6, all_7_2, all_7_3,
% 10.01/2.18 | all_14_0, all_22_0, all_24_0, all_18_0, all_7_4, all_7_5,
% 10.01/2.18 | simplifying with (5), (8), (9), (10), (11), (14), (15), (16),
% 10.01/2.18 | (17), (18), (26), (27), (29), (30), (32), (33), (35), (36), (37),
% 10.01/2.18 | (38) gives:
% 10.01/2.18 | (39) $false
% 10.01/2.18 |
% 10.01/2.18 | CLOSE: (39) is inconsistent.
% 10.01/2.18 |
% 10.01/2.18 End of proof
% 10.01/2.18 % SZS output end Proof for theBenchmark
% 10.01/2.18
% 10.01/2.18 1592ms
%------------------------------------------------------------------------------