TSTP Solution File: SET629+3 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% 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 15:25:44 EDT 2023

% Result   : Theorem 5.45s 1.49s
% Output   : Proof 6.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 11:44:08 EDT 2023
% 0.12/0.33  % 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/sandbox/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 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 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 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.75/1.00  Prover 1: Preprocessing ...
% 1.75/1.00  Prover 4: Preprocessing ...
% 2.39/1.05  Prover 6: Preprocessing ...
% 2.39/1.05  Prover 2: Preprocessing ...
% 2.39/1.05  Prover 5: Preprocessing ...
% 2.39/1.05  Prover 3: Preprocessing ...
% 2.39/1.05  Prover 0: Preprocessing ...
% 4.18/1.32  Prover 1: Warning: ignoring some quantifiers
% 4.18/1.33  Prover 3: Warning: ignoring some quantifiers
% 4.18/1.33  Prover 4: Warning: ignoring some quantifiers
% 4.18/1.34  Prover 3: Constructing countermodel ...
% 4.18/1.34  Prover 1: Constructing countermodel ...
% 4.18/1.34  Prover 5: Proving ...
% 4.18/1.34  Prover 0: Proving ...
% 4.18/1.34  Prover 6: Proving ...
% 4.18/1.34  Prover 2: Proving ...
% 4.18/1.34  Prover 4: Constructing countermodel ...
% 4.81/1.49  Prover 6: proved (874ms)
% 5.45/1.49  
% 5.45/1.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.45/1.49  
% 5.45/1.50  Prover 5: stopped
% 5.45/1.50  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.45/1.50  Prover 2: stopped
% 5.45/1.50  Prover 3: proved (882ms)
% 5.45/1.50  
% 5.45/1.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.45/1.50  
% 5.45/1.50  Prover 0: stopped
% 5.45/1.51  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.45/1.51  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.45/1.51  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.45/1.51  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.45/1.52  Prover 7: Preprocessing ...
% 5.45/1.53  Prover 8: Preprocessing ...
% 5.45/1.53  Prover 11: Preprocessing ...
% 5.45/1.53  Prover 1: Found proof (size 24)
% 5.45/1.53  Prover 1: proved (920ms)
% 5.45/1.53  Prover 4: stopped
% 5.45/1.54  Prover 10: Preprocessing ...
% 5.45/1.54  Prover 7: stopped
% 5.45/1.54  Prover 13: Preprocessing ...
% 5.45/1.55  Prover 10: stopped
% 5.45/1.55  Prover 11: stopped
% 5.45/1.56  Prover 13: stopped
% 6.09/1.60  Prover 8: Warning: ignoring some quantifiers
% 6.09/1.61  Prover 8: Constructing countermodel ...
% 6.13/1.61  Prover 8: stopped
% 6.13/1.61  
% 6.13/1.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.13/1.61  
% 6.13/1.62  % SZS output start Proof for theBenchmark
% 6.13/1.62  Assumptions after simplification:
% 6.13/1.62  ---------------------------------
% 6.13/1.62  
% 6.13/1.62    (commutativity_of_intersection)
% 6.13/1.65     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (intersection(v0, v1) = v2) |  ~
% 6.13/1.65      $i(v1) |  ~ $i(v0) | (intersection(v1, v0) = v2 & $i(v2)))
% 6.13/1.65  
% 6.13/1.65    (difference_defn)
% 6.13/1.65     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : (v4 = 0
% 6.13/1.65      |  ~ (difference(v0, v1) = v3) |  ~ (member(v2, v3) = v4) |  ~ $i(v2) |  ~
% 6.13/1.65      $i(v1) |  ~ $i(v0) |  ? [v5: any] :  ? [v6: any] : (member(v2, v1) = v6 &
% 6.13/1.65        member(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) &  ! [v0: $i] :  ! [v1: $i]
% 6.13/1.65    :  ! [v2: $i] :  ! [v3: $i] : ( ~ (difference(v0, v1) = v3) |  ~ (member(v2,
% 6.13/1.65          v3) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: int] : ( ~ (v4 =
% 6.13/1.66          0) & member(v2, v1) = v4 & member(v2, v0) = 0))
% 6.13/1.66  
% 6.13/1.66    (disjoint_defn)
% 6.13/1.66     ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~ (disjoint(v0, v1) =
% 6.13/1.66        v2) |  ~ $i(v1) |  ~ $i(v0) | intersect(v0, v1) = 0) &  ! [v0: $i] :  !
% 6.13/1.66    [v1: $i] : ( ~ (disjoint(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: int] :
% 6.13/1.66      ( ~ (v2 = 0) & intersect(v0, v1) = v2))
% 6.13/1.66  
% 6.13/1.66    (intersect_defn)
% 6.13/1.66     ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~ (intersect(v0, v1) =
% 6.13/1.66        v2) |  ~ $i(v1) |  ~ $i(v0) |  ! [v3: $i] : ( ~ (member(v3, v0) = 0) |  ~
% 6.13/1.66        $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & member(v3, v1) = v4))) &  ! [v0:
% 6.13/1.66      $i] :  ! [v1: $i] : ( ~ (intersect(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 6.13/1.66      [v2: $i] : (member(v2, v1) = 0 & member(v2, v0) = 0 & $i(v2)))
% 6.13/1.66  
% 6.13/1.66    (intersection_defn)
% 6.13/1.67     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : (v4 = 0
% 6.13/1.67      |  ~ (intersection(v0, v1) = v3) |  ~ (member(v2, v3) = v4) |  ~ $i(v2) |  ~
% 6.13/1.67      $i(v1) |  ~ $i(v0) |  ? [v5: any] :  ? [v6: any] : (member(v2, v1) = v6 &
% 6.13/1.67        member(v2, v0) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0: $i] :  !
% 6.13/1.67    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~ (intersection(v0, v1) = v3) |  ~
% 6.13/1.67      (member(v2, v3) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | (member(v2, v1) =
% 6.13/1.67        0 & member(v2, v0) = 0))
% 6.13/1.67  
% 6.13/1.67    (prove_intersection_and_difference_disjoint)
% 6.13/1.67     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: int] : ( ~ (v4
% 6.13/1.67        = 0) & disjoint(v2, v3) = v4 & difference(v0, v1) = v3 & intersection(v0,
% 6.13/1.67        v1) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 6.13/1.67  
% 6.13/1.67    (function-axioms)
% 6.13/1.67     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 6.13/1.67    [v3: $i] : (v1 = v0 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(v3, v2) = v0))
% 6.13/1.67    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 6.13/1.67    [v3: $i] : (v1 = v0 |  ~ (intersect(v3, v2) = v1) |  ~ (intersect(v3, v2) =
% 6.13/1.67        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 6.13/1.67      ~ (difference(v3, v2) = v1) |  ~ (difference(v3, v2) = v0)) &  ! [v0: $i] : 
% 6.13/1.67    ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (intersection(v3, v2) =
% 6.13/1.67        v1) |  ~ (intersection(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 6.13/1.67    [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 6.13/1.67      (member(v3, v2) = v1) |  ~ (member(v3, v2) = v0))
% 6.13/1.67  
% 6.13/1.67  Further assumptions not needed in the proof:
% 6.13/1.67  --------------------------------------------
% 6.13/1.67  equal_member_defn, symmetry_of_intersect
% 6.13/1.67  
% 6.13/1.67  Those formulas are unsatisfiable:
% 6.13/1.67  ---------------------------------
% 6.13/1.67  
% 6.13/1.67  Begin of proof
% 6.13/1.67  | 
% 6.13/1.68  | ALPHA: (intersection_defn) implies:
% 6.13/1.68  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 6.13/1.68  |          (intersection(v0, v1) = v3) |  ~ (member(v2, v3) = 0) |  ~ $i(v2) | 
% 6.13/1.68  |          ~ $i(v1) |  ~ $i(v0) | (member(v2, v1) = 0 & member(v2, v0) = 0))
% 6.13/1.68  | 
% 6.13/1.68  | ALPHA: (difference_defn) implies:
% 6.13/1.68  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 6.13/1.68  |          (difference(v0, v1) = v3) |  ~ (member(v2, v3) = 0) |  ~ $i(v2) |  ~
% 6.13/1.68  |          $i(v1) |  ~ $i(v0) |  ? [v4: int] : ( ~ (v4 = 0) & member(v2, v1) =
% 6.13/1.68  |            v4 & member(v2, v0) = 0))
% 6.13/1.68  | 
% 6.13/1.68  | ALPHA: (intersect_defn) implies:
% 6.13/1.68  |   (3)   ! [v0: $i] :  ! [v1: $i] : ( ~ (intersect(v0, v1) = 0) |  ~ $i(v1) | 
% 6.13/1.68  |          ~ $i(v0) |  ? [v2: $i] : (member(v2, v1) = 0 & member(v2, v0) = 0 &
% 6.13/1.68  |            $i(v2)))
% 6.13/1.68  | 
% 6.13/1.68  | ALPHA: (disjoint_defn) implies:
% 6.13/1.68  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~ (disjoint(v0,
% 6.13/1.68  |              v1) = v2) |  ~ $i(v1) |  ~ $i(v0) | intersect(v0, v1) = 0)
% 6.13/1.68  | 
% 6.13/1.68  | ALPHA: (function-axioms) implies:
% 6.13/1.68  |   (5)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 6.13/1.68  |         ! [v3: $i] : (v1 = v0 |  ~ (member(v3, v2) = v1) |  ~ (member(v3, v2)
% 6.13/1.68  |            = v0))
% 6.13/1.68  | 
% 6.13/1.68  | DELTA: instantiating (prove_intersection_and_difference_disjoint) with fresh
% 6.13/1.68  |        symbols all_9_0, all_9_1, all_9_2, all_9_3, all_9_4 gives:
% 6.13/1.68  |   (6)   ~ (all_9_0 = 0) & disjoint(all_9_2, all_9_1) = all_9_0 &
% 6.13/1.68  |        difference(all_9_4, all_9_3) = all_9_1 & intersection(all_9_4, all_9_3)
% 6.13/1.68  |        = all_9_2 & $i(all_9_1) & $i(all_9_2) & $i(all_9_3) & $i(all_9_4)
% 6.13/1.68  | 
% 6.13/1.68  | ALPHA: (6) implies:
% 6.13/1.68  |   (7)   ~ (all_9_0 = 0)
% 6.13/1.68  |   (8)  $i(all_9_4)
% 6.13/1.69  |   (9)  $i(all_9_3)
% 6.13/1.69  |   (10)  $i(all_9_1)
% 6.13/1.69  |   (11)  intersection(all_9_4, all_9_3) = all_9_2
% 6.13/1.69  |   (12)  difference(all_9_4, all_9_3) = all_9_1
% 6.13/1.69  |   (13)  disjoint(all_9_2, all_9_1) = all_9_0
% 6.13/1.69  | 
% 6.13/1.69  | GROUND_INST: instantiating (commutativity_of_intersection) with all_9_4,
% 6.13/1.69  |              all_9_3, all_9_2, simplifying with (8), (9), (11) gives:
% 6.13/1.69  |   (14)  intersection(all_9_3, all_9_4) = all_9_2 & $i(all_9_2)
% 6.13/1.69  | 
% 6.13/1.69  | ALPHA: (14) implies:
% 6.13/1.69  |   (15)  $i(all_9_2)
% 6.13/1.69  | 
% 6.13/1.69  | GROUND_INST: instantiating (4) with all_9_2, all_9_1, all_9_0, simplifying
% 6.13/1.69  |              with (10), (13), (15) gives:
% 6.13/1.69  |   (16)  all_9_0 = 0 | intersect(all_9_2, all_9_1) = 0
% 6.13/1.69  | 
% 6.13/1.69  | BETA: splitting (16) gives:
% 6.13/1.69  | 
% 6.13/1.69  | Case 1:
% 6.13/1.69  | | 
% 6.13/1.69  | |   (17)  intersect(all_9_2, all_9_1) = 0
% 6.13/1.69  | | 
% 6.13/1.69  | | GROUND_INST: instantiating (3) with all_9_2, all_9_1, simplifying with (10),
% 6.13/1.69  | |              (15), (17) gives:
% 6.13/1.69  | |   (18)   ? [v0: $i] : (member(v0, all_9_1) = 0 & member(v0, all_9_2) = 0 &
% 6.13/1.69  | |           $i(v0))
% 6.13/1.69  | | 
% 6.13/1.69  | | DELTA: instantiating (18) with fresh symbol all_28_0 gives:
% 6.13/1.69  | |   (19)  member(all_28_0, all_9_1) = 0 & member(all_28_0, all_9_2) = 0 &
% 6.13/1.69  | |         $i(all_28_0)
% 6.13/1.69  | | 
% 6.13/1.69  | | ALPHA: (19) implies:
% 6.13/1.69  | |   (20)  $i(all_28_0)
% 6.13/1.69  | |   (21)  member(all_28_0, all_9_2) = 0
% 6.13/1.69  | |   (22)  member(all_28_0, all_9_1) = 0
% 6.13/1.69  | | 
% 6.13/1.69  | | GROUND_INST: instantiating (1) with all_9_4, all_9_3, all_28_0, all_9_2,
% 6.13/1.69  | |              simplifying with (8), (9), (11), (20), (21) gives:
% 6.13/1.69  | |   (23)  member(all_28_0, all_9_3) = 0 & member(all_28_0, all_9_4) = 0
% 6.13/1.69  | | 
% 6.13/1.69  | | ALPHA: (23) implies:
% 6.13/1.69  | |   (24)  member(all_28_0, all_9_3) = 0
% 6.13/1.69  | | 
% 6.13/1.69  | | GROUND_INST: instantiating (2) with all_9_4, all_9_3, all_28_0, all_9_1,
% 6.13/1.69  | |              simplifying with (8), (9), (12), (20), (22) gives:
% 6.13/1.70  | |   (25)   ? [v0: int] : ( ~ (v0 = 0) & member(all_28_0, all_9_3) = v0 &
% 6.13/1.70  | |           member(all_28_0, all_9_4) = 0)
% 6.13/1.70  | | 
% 6.13/1.70  | | DELTA: instantiating (25) with fresh symbol all_38_0 gives:
% 6.13/1.70  | |   (26)   ~ (all_38_0 = 0) & member(all_28_0, all_9_3) = all_38_0 &
% 6.13/1.70  | |         member(all_28_0, all_9_4) = 0
% 6.13/1.70  | | 
% 6.13/1.70  | | ALPHA: (26) implies:
% 6.13/1.70  | |   (27)   ~ (all_38_0 = 0)
% 6.13/1.70  | |   (28)  member(all_28_0, all_9_3) = all_38_0
% 6.13/1.70  | | 
% 6.13/1.70  | | GROUND_INST: instantiating (5) with 0, all_38_0, all_9_3, all_28_0,
% 6.13/1.70  | |              simplifying with (24), (28) gives:
% 6.13/1.70  | |   (29)  all_38_0 = 0
% 6.13/1.70  | | 
% 6.13/1.70  | | REDUCE: (27), (29) imply:
% 6.13/1.70  | |   (30)  $false
% 6.13/1.70  | | 
% 6.13/1.70  | | CLOSE: (30) is inconsistent.
% 6.13/1.70  | | 
% 6.13/1.70  | Case 2:
% 6.13/1.70  | | 
% 6.13/1.70  | |   (31)  all_9_0 = 0
% 6.13/1.70  | | 
% 6.13/1.70  | | REDUCE: (7), (31) imply:
% 6.13/1.70  | |   (32)  $false
% 6.13/1.70  | | 
% 6.13/1.70  | | CLOSE: (32) is inconsistent.
% 6.13/1.70  | | 
% 6.13/1.70  | End of split
% 6.13/1.70  | 
% 6.13/1.70  End of proof
% 6.13/1.70  % SZS output end Proof for theBenchmark
% 6.13/1.70  
% 6.13/1.70  1108ms
%------------------------------------------------------------------------------