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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:17:27 AM UTC 2026

% Result   : Theorem 10.04s 2.14s
% Output   : Proof 14.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.09/0.36  % Computer : n004.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep  7 13:29:45 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release.
% 0.72/0.70  ________       _____
% 0.72/0.70  ___  __ \_________(_)________________________________
% 0.72/0.70  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.72/0.70  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.72/0.70  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.72/0.70  
% 0.72/0.70  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.72/0.70  (2023-06-19)
% 0.72/0.70  
% 0.72/0.70  (c) Philipp Rümmer, 2009-2023
% 0.72/0.70  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.72/0.70                Amanda Stjerna.
% 0.72/0.70  Free software under BSD-3-Clause.
% 0.72/0.70  
% 0.72/0.70  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.72/0.70  
% 0.72/0.70  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.72  Running up to 7 provers in parallel.
% 0.72/0.74  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.72/0.74  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.72/0.74  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.72/0.74  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.72/0.74  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.72/0.74  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.72/0.74  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.85/1.17  Prover 4: Preprocessing ...
% 2.85/1.17  Prover 1: Preprocessing ...
% 3.35/1.23  Prover 2: Preprocessing ...
% 3.35/1.23  Prover 3: Preprocessing ...
% 3.35/1.24  Prover 5: Preprocessing ...
% 3.35/1.24  Prover 0: Preprocessing ...
% 3.35/1.24  Prover 6: Preprocessing ...
% 5.68/1.60  Prover 1: Warning: ignoring some quantifiers
% 6.52/1.62  Prover 5: Proving ...
% 6.52/1.64  Prover 2: Proving ...
% 6.52/1.65  Prover 1: Constructing countermodel ...
% 6.52/1.66  Prover 3: Warning: ignoring some quantifiers
% 6.52/1.69  Prover 3: Constructing countermodel ...
% 7.25/1.71  Prover 6: Proving ...
% 8.04/1.80  Prover 4: Constructing countermodel ...
% 8.04/1.84  Prover 0: Proving ...
% 10.04/2.14  Prover 3: proved (1404ms)
% 10.04/2.14  
% 10.04/2.14  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.04/2.14  
% 10.04/2.14  Prover 0: stopped
% 10.04/2.14  Prover 6: stopped
% 10.04/2.15  Prover 2: stopped
% 10.04/2.16  Prover 5: stopped
% 10.85/2.16  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.85/2.16  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.85/2.16  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.85/2.16  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.85/2.16  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 11.19/2.21  Prover 7: Preprocessing ...
% 11.19/2.24  Prover 13: Preprocessing ...
% 11.19/2.24  Prover 11: Preprocessing ...
% 11.19/2.25  Prover 8: Preprocessing ...
% 11.19/2.25  Prover 10: Preprocessing ...
% 11.19/2.29  Prover 7: Warning: ignoring some quantifiers
% 11.95/2.30  Prover 7: Constructing countermodel ...
% 11.95/2.33  Prover 10: Warning: ignoring some quantifiers
% 11.95/2.34  Prover 10: Constructing countermodel ...
% 12.75/2.40  Prover 8: Warning: ignoring some quantifiers
% 12.75/2.42  Prover 8: Constructing countermodel ...
% 12.75/2.44  Prover 13: Warning: ignoring some quantifiers
% 12.75/2.46  Prover 13: Constructing countermodel ...
% 13.53/2.55  Prover 7: Found proof (size 23)
% 13.53/2.55  Prover 7: proved (409ms)
% 13.53/2.55  Prover 8: stopped
% 13.53/2.56  Prover 4: stopped
% 13.53/2.56  Prover 10: stopped
% 13.53/2.56  Prover 1: stopped
% 13.53/2.56  Prover 13: stopped
% 13.53/2.59  Prover 11: Constructing countermodel ...
% 14.20/2.61  Prover 11: stopped
% 14.20/2.61  
% 14.20/2.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.20/2.61  
% 14.20/2.62  % SZS output start Proof for theBenchmark
% 14.20/2.63  Assumptions after simplification:
% 14.20/2.63  ---------------------------------
% 14.20/2.63  
% 14.20/2.63    (assumption_2)
% 14.20/2.68     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v4 = v3
% 14.20/2.68      |  ~ (hazard_of_mortality(v0, v2) = v4) |  ~ (hazard_of_mortality(v0, v1) =
% 14.20/2.68        v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ has_immunity(v0, v2) |  ~
% 14.20/2.68      has_immunity(v0, v1) |  ~ organization(v0))
% 14.20/2.68  
% 14.20/2.68    (assumption_3)
% 14.20/2.69     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 14.20/2.69      (hazard_of_mortality(v0, v2) = v3) |  ~ (hazard_of_mortality(v0, v1) = v4) |
% 14.20/2.69       ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ has_immunity(v0, v1) |  ~
% 14.20/2.69      organization(v0) | has_immunity(v0, v2) | greater(v3, v4))
% 14.20/2.69  
% 14.20/2.69    (definition_1)
% 14.20/2.70    $i(eta) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (age(v0, v1) = v2) | 
% 14.20/2.70      ~ $i(v1) |  ~ $i(v0) |  ~ has_immunity(v0, v1) |  ~ has_endowment(v0) |  ~
% 14.20/2.70      greater(v2, eta)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (age(v0,
% 14.20/2.70          v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ has_endowment(v0) |  ~
% 14.20/2.70      smaller_or_equal(v2, eta) | has_immunity(v0, v1)) &  ! [v0: $i] : ( ~ $i(v0)
% 14.20/2.70      |  ~ has_endowment(v0) | organization(v0)) &  ? [v0: $i] : ( ~ $i(v0) |
% 14.20/2.70      has_endowment(v0) |  ? [v1: $i] :  ? [v2: $i] : ($i(v1) & ( ~
% 14.20/2.70          organization(v0) | (age(v0, v1) = v2 & $i(v2) & has_immunity(v0, v1) &
% 14.20/2.70            greater(v2, eta)) | (age(v0, v1) = v2 & $i(v2) & smaller_or_equal(v2,
% 14.20/2.70              eta) &  ~ has_immunity(v0, v1)))))
% 14.20/2.70  
% 14.20/2.70    (definition_smaller)
% 14.68/2.70     ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ greater(v1, v0) |
% 14.68/2.70      smaller(v0, v1)) &  ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~
% 14.68/2.70      smaller(v0, v1) | greater(v1, v0))
% 14.68/2.70  
% 14.68/2.70    (definition_smaller_or_equal)
% 14.68/2.70     ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ $i(v1) |  ~ $i(v0) |  ~
% 14.68/2.70      smaller_or_equal(v0, v1) | smaller(v0, v1)) &  ! [v0: $i] :  ! [v1: $i] : (
% 14.68/2.70      ~ $i(v1) |  ~ $i(v0) |  ~ smaller(v0, v1) | smaller_or_equal(v0, v1)) &  ?
% 14.68/2.70    [v0: $i] : ( ~ $i(v0) | smaller_or_equal(v0, v0))
% 14.68/2.70  
% 14.68/2.70    (theorem_6)
% 14.68/2.71    $i(zero) & $i(eta) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : 
% 14.68/2.71    ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :
% 14.68/2.71    (hazard_of_mortality(v0, v2) = v7 & age(v0, v3) = v5 & age(v0, v2) = v4 &
% 14.68/2.71      age(v0, v1) = zero & $i(v7) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 14.68/2.71      $i(v0) & organization(v0) & has_endowment(v0) & greater(v5, eta) &
% 14.68/2.71      greater(eta, zero) & smaller_or_equal(v4, eta) & (( ~ (v8 = v7) &
% 14.68/2.71          hazard_of_mortality(v0, v1) = v8 & $i(v8)) | (hazard_of_mortality(v0,
% 14.68/2.71            v3) = v6 & $i(v6) &  ~ greater(v6, v7))))
% 14.68/2.71  
% 14.68/2.71  Further assumptions not needed in the proof:
% 14.68/2.71  --------------------------------------------
% 14.68/2.71  definition_greater_or_equal, meaning_postulate_greater_comparable,
% 14.68/2.71  meaning_postulate_greater_strict, meaning_postulate_greater_transitive
% 14.68/2.71  
% 14.68/2.71  Those formulas are unsatisfiable:
% 14.68/2.71  ---------------------------------
% 14.68/2.71  
% 14.68/2.71  Begin of proof
% 14.68/2.71  | 
% 14.68/2.71  | ALPHA: (definition_smaller_or_equal) implies:
% 14.68/2.71  |   (1)   ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ smaller(v0, v1)
% 14.68/2.71  |          | smaller_or_equal(v0, v1))
% 14.68/2.71  | 
% 14.68/2.71  | ALPHA: (definition_smaller) implies:
% 14.68/2.72  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ greater(v1, v0)
% 14.68/2.72  |          | smaller(v0, v1))
% 14.68/2.72  | 
% 14.68/2.72  | ALPHA: (definition_1) implies:
% 14.68/2.72  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (age(v0, v1) = v2) |  ~
% 14.68/2.72  |          $i(v1) |  ~ $i(v0) |  ~ has_endowment(v0) |  ~ smaller_or_equal(v2,
% 14.68/2.72  |            eta) | has_immunity(v0, v1))
% 14.68/2.72  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (age(v0, v1) = v2) |  ~
% 14.68/2.72  |          $i(v1) |  ~ $i(v0) |  ~ has_immunity(v0, v1) |  ~ has_endowment(v0) |
% 14.68/2.72  |           ~ greater(v2, eta))
% 14.68/2.72  | 
% 14.68/2.72  | ALPHA: (theorem_6) implies:
% 14.68/2.72  |   (5)  $i(eta)
% 14.68/2.72  |   (6)  $i(zero)
% 14.68/2.72  |   (7)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 14.68/2.72  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :
% 14.68/2.72  |        (hazard_of_mortality(v0, v2) = v7 & age(v0, v3) = v5 & age(v0, v2) = v4
% 14.68/2.72  |          & age(v0, v1) = zero & $i(v7) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 14.68/2.72  |          $i(v1) & $i(v0) & organization(v0) & has_endowment(v0) & greater(v5,
% 14.68/2.73  |            eta) & greater(eta, zero) & smaller_or_equal(v4, eta) & (( ~ (v8 =
% 14.68/2.73  |                v7) & hazard_of_mortality(v0, v1) = v8 & $i(v8)) |
% 14.68/2.73  |            (hazard_of_mortality(v0, v3) = v6 & $i(v6) &  ~ greater(v6, v7))))
% 14.68/2.73  | 
% 14.68/2.73  | DELTA: instantiating (7) with fresh symbols all_16_0, all_16_1, all_16_2,
% 14.68/2.73  |        all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8 gives:
% 14.68/2.73  |   (8)  hazard_of_mortality(all_16_8, all_16_6) = all_16_1 & age(all_16_8,
% 14.68/2.73  |          all_16_5) = all_16_3 & age(all_16_8, all_16_6) = all_16_4 &
% 14.68/2.73  |        age(all_16_8, all_16_7) = zero & $i(all_16_1) & $i(all_16_3) &
% 14.68/2.73  |        $i(all_16_4) & $i(all_16_5) & $i(all_16_6) & $i(all_16_7) &
% 14.68/2.73  |        $i(all_16_8) & organization(all_16_8) & has_endowment(all_16_8) &
% 14.68/2.73  |        greater(all_16_3, eta) & greater(eta, zero) &
% 14.68/2.73  |        smaller_or_equal(all_16_4, eta) & (( ~ (all_16_0 = all_16_1) &
% 14.68/2.73  |            hazard_of_mortality(all_16_8, all_16_7) = all_16_0 & $i(all_16_0))
% 14.68/2.73  |          | (hazard_of_mortality(all_16_8, all_16_5) = all_16_2 & $i(all_16_2)
% 14.68/2.73  |            &  ~ greater(all_16_2, all_16_1)))
% 14.68/2.73  | 
% 14.68/2.73  | ALPHA: (8) implies:
% 14.68/2.73  |   (9)  smaller_or_equal(all_16_4, eta)
% 14.68/2.73  |   (10)  greater(eta, zero)
% 14.68/2.73  |   (11)  greater(all_16_3, eta)
% 14.68/2.73  |   (12)  has_endowment(all_16_8)
% 14.68/2.73  |   (13)  organization(all_16_8)
% 14.68/2.73  |   (14)  $i(all_16_8)
% 14.68/2.73  |   (15)  $i(all_16_7)
% 14.68/2.73  |   (16)  $i(all_16_6)
% 14.68/2.73  |   (17)  $i(all_16_5)
% 14.68/2.73  |   (18)  age(all_16_8, all_16_7) = zero
% 14.68/2.73  |   (19)  age(all_16_8, all_16_6) = all_16_4
% 14.68/2.73  |   (20)  age(all_16_8, all_16_5) = all_16_3
% 14.68/2.73  |   (21)  hazard_of_mortality(all_16_8, all_16_6) = all_16_1
% 14.68/2.74  |   (22)  ( ~ (all_16_0 = all_16_1) & hazard_of_mortality(all_16_8, all_16_7) =
% 14.68/2.74  |           all_16_0 & $i(all_16_0)) | (hazard_of_mortality(all_16_8, all_16_5)
% 14.68/2.74  |           = all_16_2 & $i(all_16_2) &  ~ greater(all_16_2, all_16_1))
% 14.68/2.74  | 
% 14.68/2.74  | GROUND_INST: instantiating (2) with zero, eta, simplifying with (5), (6), (10)
% 14.68/2.74  |              gives:
% 14.68/2.74  |   (23)  smaller(zero, eta)
% 14.68/2.74  | 
% 14.68/2.74  | GROUND_INST: instantiating (3) with all_16_8, all_16_7, zero, simplifying with
% 14.68/2.74  |              (12), (14), (15), (18) gives:
% 14.68/2.74  |   (24)   ~ smaller_or_equal(zero, eta) | has_immunity(all_16_8, all_16_7)
% 14.68/2.74  | 
% 14.68/2.74  | GROUND_INST: instantiating (3) with all_16_8, all_16_6, all_16_4, simplifying
% 14.68/2.74  |              with (9), (12), (14), (16), (19) gives:
% 14.68/2.74  |   (25)  has_immunity(all_16_8, all_16_6)
% 14.68/2.74  | 
% 14.68/2.74  | GROUND_INST: instantiating (1) with zero, eta, simplifying with (5), (6), (23)
% 14.68/2.74  |              gives:
% 14.68/2.74  |   (26)  smaller_or_equal(zero, eta)
% 14.68/2.74  | 
% 14.68/2.74  | BETA: splitting (24) gives:
% 14.68/2.74  | 
% 14.68/2.74  | Case 1:
% 14.68/2.74  | | 
% 14.68/2.74  | |   (27)   ~ smaller_or_equal(zero, eta)
% 14.68/2.74  | | 
% 14.68/2.74  | | PRED_UNIFY: (26), (27) imply:
% 14.68/2.74  | |   (28)  $false
% 14.68/2.74  | | 
% 14.68/2.74  | | CLOSE: (28) is inconsistent.
% 14.68/2.74  | | 
% 14.68/2.74  | Case 2:
% 14.68/2.74  | | 
% 14.68/2.75  | |   (29)  has_immunity(all_16_8, all_16_7)
% 14.68/2.75  | | 
% 14.68/2.75  | | BETA: splitting (22) gives:
% 14.68/2.75  | | 
% 14.68/2.75  | | Case 1:
% 14.68/2.75  | | | 
% 14.68/2.75  | | |   (30)   ~ (all_16_0 = all_16_1) & hazard_of_mortality(all_16_8, all_16_7)
% 14.68/2.75  | | |         = all_16_0 & $i(all_16_0)
% 14.68/2.75  | | | 
% 14.68/2.75  | | | ALPHA: (30) implies:
% 14.68/2.75  | | |   (31)   ~ (all_16_0 = all_16_1)
% 14.68/2.75  | | |   (32)  hazard_of_mortality(all_16_8, all_16_7) = all_16_0
% 14.68/2.75  | | | 
% 14.68/2.75  | | | GROUND_INST: instantiating (assumption_2) with all_16_8, all_16_7,
% 14.68/2.75  | | |              all_16_6, all_16_0, all_16_1, simplifying with (13), (14),
% 14.68/2.75  | | |              (15), (16), (21), (25), (29), (32) gives:
% 14.68/2.75  | | |   (33)  all_16_0 = all_16_1
% 14.68/2.75  | | | 
% 14.68/2.75  | | | REDUCE: (31), (33) imply:
% 14.68/2.75  | | |   (34)  $false
% 14.68/2.75  | | | 
% 14.68/2.75  | | | CLOSE: (34) is inconsistent.
% 14.68/2.75  | | | 
% 14.68/2.75  | | Case 2:
% 14.68/2.75  | | | 
% 14.68/2.75  | | |   (35)  hazard_of_mortality(all_16_8, all_16_5) = all_16_2 & $i(all_16_2)
% 14.68/2.75  | | |         &  ~ greater(all_16_2, all_16_1)
% 14.68/2.75  | | | 
% 14.68/2.75  | | | ALPHA: (35) implies:
% 14.68/2.75  | | |   (36)   ~ greater(all_16_2, all_16_1)
% 14.68/2.75  | | |   (37)  hazard_of_mortality(all_16_8, all_16_5) = all_16_2
% 14.68/2.75  | | | 
% 14.68/2.76  | | | GROUND_INST: instantiating (assumption_3) with all_16_8, all_16_6,
% 14.68/2.76  | | |              all_16_5, all_16_2, all_16_1, simplifying with (13), (14),
% 14.68/2.76  | | |              (16), (17), (21), (25), (36), (37) gives:
% 14.68/2.76  | | |   (38)  has_immunity(all_16_8, all_16_5)
% 14.68/2.76  | | | 
% 14.68/2.76  | | | GROUND_INST: instantiating (4) with all_16_8, all_16_5, all_16_3,
% 14.68/2.76  | | |              simplifying with (11), (12), (14), (17), (20), (38) gives:
% 14.68/2.76  | | |   (39)  $false
% 14.68/2.76  | | | 
% 14.68/2.76  | | | CLOSE: (39) is inconsistent.
% 14.68/2.76  | | | 
% 14.68/2.76  | | End of split
% 14.68/2.76  | | 
% 14.68/2.76  | End of split
% 14.68/2.76  | 
% 14.68/2.76  End of proof
% 14.68/2.76  % SZS output end Proof for theBenchmark
% 14.68/2.76  
% 14.68/2.76  2056ms
%------------------------------------------------------------------------------