TSTP Solution File: CSR147+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n018.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 : Wed Aug 30 21:38:21 EDT 2023

% Result   : Theorem 4.67s 1.40s
% Output   : Proof 6.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n018.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 08:51:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.61  ________       _____
% 0.19/0.61  ___  __ \_________(_)________________________________
% 0.19/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61  
% 0.19/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61  (2023-06-19)
% 0.19/0.61  
% 0.19/0.61  (c) Philipp Rümmer, 2009-2023
% 0.19/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61                Amanda Stjerna.
% 0.19/0.61  Free software under BSD-3-Clause.
% 0.19/0.61  
% 0.19/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61  
% 0.19/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62  Running up to 7 provers in parallel.
% 0.19/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.23/1.02  Prover 4: Preprocessing ...
% 2.23/1.02  Prover 1: Preprocessing ...
% 2.23/1.06  Prover 3: Preprocessing ...
% 2.23/1.06  Prover 2: Preprocessing ...
% 2.23/1.06  Prover 6: Preprocessing ...
% 2.23/1.06  Prover 5: Preprocessing ...
% 2.23/1.06  Prover 0: Preprocessing ...
% 3.70/1.28  Prover 5: Constructing countermodel ...
% 3.70/1.28  Prover 6: Constructing countermodel ...
% 3.70/1.29  Prover 2: Proving ...
% 3.70/1.30  Prover 1: Constructing countermodel ...
% 3.70/1.30  Prover 3: Constructing countermodel ...
% 4.20/1.34  Prover 4: Constructing countermodel ...
% 4.67/1.40  Prover 6: proved (755ms)
% 4.67/1.40  
% 4.67/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.67/1.40  
% 4.67/1.40  Prover 5: stopped
% 4.67/1.41  Prover 2: stopped
% 4.67/1.41  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.67/1.41  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.67/1.41  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.67/1.42  Prover 3: stopped
% 4.67/1.42  Prover 0: Proving ...
% 4.67/1.42  Prover 0: stopped
% 4.67/1.42  Prover 10: Preprocessing ...
% 4.67/1.42  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.67/1.43  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.67/1.43  Prover 8: Preprocessing ...
% 4.67/1.43  Prover 7: Preprocessing ...
% 4.67/1.44  Prover 13: Preprocessing ...
% 4.67/1.45  Prover 11: Preprocessing ...
% 4.67/1.48  Prover 10: Constructing countermodel ...
% 4.67/1.49  Prover 7: Constructing countermodel ...
% 4.67/1.50  Prover 1: Found proof (size 34)
% 4.67/1.50  Prover 1: proved (870ms)
% 4.67/1.50  Prover 10: stopped
% 4.67/1.50  Prover 4: stopped
% 4.67/1.50  Prover 7: stopped
% 4.67/1.51  Prover 11: stopped
% 4.67/1.51  Prover 13: Constructing countermodel ...
% 4.67/1.51  Prover 13: stopped
% 4.67/1.53  Prover 8: Warning: ignoring some quantifiers
% 4.67/1.53  Prover 8: Constructing countermodel ...
% 4.67/1.54  Prover 8: stopped
% 4.67/1.54  
% 4.67/1.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.67/1.54  
% 4.67/1.55  % SZS output start Proof for theBenchmark
% 4.67/1.55  Assumptions after simplification:
% 4.67/1.55  ---------------------------------
% 4.67/1.55  
% 4.67/1.55    (experience)
% 4.67/1.58     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : (v4 = 0
% 4.67/1.58      |  ~ (greater(v1, v2) = 0) |  ~ (s__more_experienced(v0, v3) = v4) |  ~
% 4.67/1.58      (s__siblingFn(v0) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: any] :
% 4.67/1.58       ? [v6: any] :  ? [v7: any] :  ? [v8: any] : (s__age(v3, v2) = v7 &
% 4.67/1.58        s__age(v0, v1) = v6 & s__has_seen_more(v3, v0) = v8 & s__Human(v0) = v5 &
% 4.67/1.58        ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v8 = 0)))
% 4.67/1.58  
% 4.67/1.58    (geoff_48)
% 5.89/1.59    s__age(geoff, n48) = 0 & $i(n48) & $i(geoff)
% 5.89/1.59  
% 5.89/1.59    (geoff_and_jim)
% 5.89/1.59    s__siblingFn(jim) = geoff & $i(jim) & $i(geoff)
% 5.89/1.59  
% 5.89/1.59    (greater_54_48)
% 5.89/1.59    greater(n54, n48) = 0 & $i(n54) & $i(n48)
% 5.89/1.59  
% 5.89/1.59    (jim_54)
% 5.89/1.59    s__age(jim, n54) = 0 & $i(n54) & $i(jim)
% 5.89/1.59  
% 5.89/1.59    (jim_has_seen_more)
% 5.89/1.59    $i(jim) & $i(geoff) &  ? [v0: int] : ( ~ (v0 = 0) & s__has_seen_more(geoff,
% 5.89/1.59        jim) = v0)
% 5.89/1.59  
% 5.89/1.59    (jim_human)
% 5.89/1.59    s__Human(jim) = 0 & $i(jim)
% 5.89/1.59  
% 5.89/1.59    (jim_is_experienced)
% 5.89/1.59    $i(jim) & $i(geoff) &  ? [v0: int] : ( ~ (v0 = 0) & s__more_experienced(jim,
% 5.89/1.59        geoff) = v0)
% 5.89/1.59  
% 5.89/1.59    (function-axioms)
% 5.89/1.60     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 5.89/1.60    [v3: $i] : (v1 = v0 |  ~ (greater(v3, v2) = v1) |  ~ (greater(v3, v2) = v0)) &
% 5.89/1.60     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 5.89/1.60    [v3: $i] : (v1 = v0 |  ~ (s__more_experienced(v3, v2) = v1) |  ~
% 5.89/1.60      (s__more_experienced(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 5.89/1.60      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (s__age(v3,
% 5.89/1.60          v2) = v1) |  ~ (s__age(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 5.89/1.60    [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 5.89/1.60      (s__has_seen_more(v3, v2) = v1) |  ~ (s__has_seen_more(v3, v2) = v0)) &  !
% 5.89/1.60    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (s__siblingFn(v2) = v1) |
% 5.89/1.60       ~ (s__siblingFn(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 5.89/1.60      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (s__LivingThing(v2) = v1) |
% 5.89/1.60       ~ (s__LivingThing(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 5.89/1.60      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (s__Human(v2) = v1) |  ~
% 5.89/1.60      (s__Human(v2) = v0))
% 5.89/1.60  
% 5.89/1.60  Further assumptions not needed in the proof:
% 5.89/1.60  --------------------------------------------
% 5.89/1.60  geoff_human, human_type, humans_are_living, living_type, sibling_symmetry,
% 5.89/1.60  sibling_type
% 5.89/1.60  
% 5.89/1.60  Those formulas are unsatisfiable:
% 5.89/1.60  ---------------------------------
% 5.89/1.60  
% 5.89/1.60  Begin of proof
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (jim_human) implies:
% 5.89/1.60  |   (1)  s__Human(jim) = 0
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (geoff_48) implies:
% 5.89/1.60  |   (2)  s__age(geoff, n48) = 0
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (jim_54) implies:
% 5.89/1.60  |   (3)  s__age(jim, n54) = 0
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (greater_54_48) implies:
% 5.89/1.60  |   (4)  $i(n48)
% 5.89/1.60  |   (5)  $i(n54)
% 5.89/1.60  |   (6)  greater(n54, n48) = 0
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (geoff_and_jim) implies:
% 5.89/1.60  |   (7)  s__siblingFn(jim) = geoff
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (jim_has_seen_more) implies:
% 5.89/1.60  |   (8)   ? [v0: int] : ( ~ (v0 = 0) & s__has_seen_more(geoff, jim) = v0)
% 5.89/1.60  | 
% 5.89/1.60  | ALPHA: (jim_is_experienced) implies:
% 5.89/1.60  |   (9)  $i(jim)
% 5.89/1.61  |   (10)   ? [v0: int] : ( ~ (v0 = 0) & s__more_experienced(jim, geoff) = v0)
% 5.89/1.61  | 
% 5.89/1.61  | ALPHA: (function-axioms) implies:
% 5.89/1.61  |   (11)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 5.89/1.61  |         : (v1 = v0 |  ~ (s__Human(v2) = v1) |  ~ (s__Human(v2) = v0))
% 5.89/1.61  |   (12)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 5.89/1.61  |         :  ! [v3: $i] : (v1 = v0 |  ~ (s__has_seen_more(v3, v2) = v1) |  ~
% 5.89/1.61  |           (s__has_seen_more(v3, v2) = v0))
% 6.12/1.61  |   (13)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 6.12/1.61  |         :  ! [v3: $i] : (v1 = v0 |  ~ (s__age(v3, v2) = v1) |  ~ (s__age(v3,
% 6.12/1.61  |               v2) = v0))
% 6.12/1.61  | 
% 6.12/1.61  | DELTA: instantiating (10) with fresh symbol all_8_0 gives:
% 6.12/1.61  |   (14)   ~ (all_8_0 = 0) & s__more_experienced(jim, geoff) = all_8_0
% 6.12/1.61  | 
% 6.12/1.61  | ALPHA: (14) implies:
% 6.12/1.61  |   (15)   ~ (all_8_0 = 0)
% 6.12/1.61  |   (16)  s__more_experienced(jim, geoff) = all_8_0
% 6.12/1.61  | 
% 6.12/1.61  | DELTA: instantiating (8) with fresh symbol all_14_0 gives:
% 6.12/1.61  |   (17)   ~ (all_14_0 = 0) & s__has_seen_more(geoff, jim) = all_14_0
% 6.12/1.61  | 
% 6.12/1.61  | ALPHA: (17) implies:
% 6.12/1.61  |   (18)   ~ (all_14_0 = 0)
% 6.12/1.61  |   (19)  s__has_seen_more(geoff, jim) = all_14_0
% 6.12/1.61  | 
% 6.12/1.61  | GROUND_INST: instantiating (experience) with jim, n54, n48, geoff, all_8_0,
% 6.12/1.61  |              simplifying with (4), (5), (6), (7), (9), (16) gives:
% 6.12/1.62  |   (20)  all_8_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 6.12/1.62  |           any] : (s__age(jim, n54) = v1 & s__age(geoff, n48) = v2 &
% 6.12/1.62  |           s__has_seen_more(geoff, jim) = v3 & s__Human(jim) = v0 & ( ~ (v2 =
% 6.12/1.62  |               0) |  ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0))
% 6.12/1.62  | 
% 6.12/1.62  | BETA: splitting (20) gives:
% 6.12/1.62  | 
% 6.12/1.62  | Case 1:
% 6.12/1.62  | | 
% 6.12/1.62  | |   (21)  all_8_0 = 0
% 6.12/1.62  | | 
% 6.12/1.62  | | REDUCE: (15), (21) imply:
% 6.12/1.62  | |   (22)  $false
% 6.12/1.62  | | 
% 6.12/1.62  | | CLOSE: (22) is inconsistent.
% 6.12/1.62  | | 
% 6.12/1.62  | Case 2:
% 6.12/1.62  | | 
% 6.12/1.62  | |   (23)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 6.12/1.62  | |         (s__age(jim, n54) = v1 & s__age(geoff, n48) = v2 &
% 6.12/1.62  | |           s__has_seen_more(geoff, jim) = v3 & s__Human(jim) = v0 & ( ~ (v2 =
% 6.12/1.62  | |               0) |  ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0))
% 6.12/1.62  | | 
% 6.12/1.62  | | DELTA: instantiating (23) with fresh symbols all_23_0, all_23_1, all_23_2,
% 6.12/1.62  | |        all_23_3 gives:
% 6.12/1.62  | |   (24)  s__age(jim, n54) = all_23_2 & s__age(geoff, n48) = all_23_1 &
% 6.12/1.62  | |         s__has_seen_more(geoff, jim) = all_23_0 & s__Human(jim) = all_23_3 &
% 6.12/1.62  | |         ( ~ (all_23_1 = 0) |  ~ (all_23_2 = 0) |  ~ (all_23_3 = 0) |
% 6.12/1.62  | |           all_23_0 = 0)
% 6.12/1.62  | | 
% 6.12/1.62  | | ALPHA: (24) implies:
% 6.12/1.62  | |   (25)  s__Human(jim) = all_23_3
% 6.12/1.62  | |   (26)  s__has_seen_more(geoff, jim) = all_23_0
% 6.12/1.62  | |   (27)  s__age(geoff, n48) = all_23_1
% 6.12/1.62  | |   (28)  s__age(jim, n54) = all_23_2
% 6.12/1.62  | |   (29)   ~ (all_23_1 = 0) |  ~ (all_23_2 = 0) |  ~ (all_23_3 = 0) | all_23_0
% 6.12/1.62  | |         = 0
% 6.12/1.62  | | 
% 6.12/1.62  | | GROUND_INST: instantiating (11) with 0, all_23_3, jim, simplifying with (1),
% 6.12/1.62  | |              (25) gives:
% 6.12/1.62  | |   (30)  all_23_3 = 0
% 6.12/1.62  | | 
% 6.12/1.62  | | GROUND_INST: instantiating (12) with all_14_0, all_23_0, jim, geoff,
% 6.12/1.62  | |              simplifying with (19), (26) gives:
% 6.12/1.62  | |   (31)  all_23_0 = all_14_0
% 6.12/1.62  | | 
% 6.12/1.62  | | GROUND_INST: instantiating (13) with 0, all_23_1, n48, geoff, simplifying
% 6.12/1.62  | |              with (2), (27) gives:
% 6.12/1.62  | |   (32)  all_23_1 = 0
% 6.12/1.62  | | 
% 6.12/1.62  | | GROUND_INST: instantiating (13) with 0, all_23_2, n54, jim, simplifying with
% 6.12/1.62  | |              (3), (28) gives:
% 6.12/1.62  | |   (33)  all_23_2 = 0
% 6.12/1.62  | | 
% 6.12/1.62  | | BETA: splitting (29) gives:
% 6.12/1.62  | | 
% 6.12/1.62  | | Case 1:
% 6.12/1.62  | | | 
% 6.12/1.62  | | |   (34)   ~ (all_23_1 = 0)
% 6.12/1.62  | | | 
% 6.12/1.62  | | | REDUCE: (32), (34) imply:
% 6.12/1.62  | | |   (35)  $false
% 6.12/1.62  | | | 
% 6.12/1.62  | | | CLOSE: (35) is inconsistent.
% 6.12/1.63  | | | 
% 6.12/1.63  | | Case 2:
% 6.12/1.63  | | | 
% 6.12/1.63  | | |   (36)   ~ (all_23_2 = 0) |  ~ (all_23_3 = 0) | all_23_0 = 0
% 6.12/1.63  | | | 
% 6.12/1.63  | | | BETA: splitting (36) gives:
% 6.12/1.63  | | | 
% 6.12/1.63  | | | Case 1:
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | |   (37)   ~ (all_23_2 = 0)
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | | REDUCE: (33), (37) imply:
% 6.12/1.63  | | | |   (38)  $false
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | | CLOSE: (38) is inconsistent.
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | Case 2:
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | |   (39)   ~ (all_23_3 = 0) | all_23_0 = 0
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | | BETA: splitting (39) gives:
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | | Case 1:
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | |   (40)   ~ (all_23_3 = 0)
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | | REDUCE: (30), (40) imply:
% 6.12/1.63  | | | | |   (41)  $false
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | | CLOSE: (41) is inconsistent.
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | Case 2:
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | |   (42)  all_23_0 = 0
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | | COMBINE_EQS: (31), (42) imply:
% 6.12/1.63  | | | | |   (43)  all_14_0 = 0
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | | REDUCE: (18), (43) imply:
% 6.12/1.63  | | | | |   (44)  $false
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | | CLOSE: (44) is inconsistent.
% 6.12/1.63  | | | | | 
% 6.12/1.63  | | | | End of split
% 6.12/1.63  | | | | 
% 6.12/1.63  | | | End of split
% 6.12/1.63  | | | 
% 6.12/1.63  | | End of split
% 6.12/1.63  | | 
% 6.12/1.63  | End of split
% 6.12/1.63  | 
% 6.12/1.63  End of proof
% 6.12/1.63  % SZS output end Proof for theBenchmark
% 6.12/1.63  
% 6.12/1.63  1017ms
%------------------------------------------------------------------------------