TSTP Solution File: SWV388+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 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 22:56:08 EDT 2023

% Result   : Theorem 13.11s 2.72s
% Output   : Proof 16.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.32  % Computer : n005.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Aug 29 03:51:52 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.17/0.62  ________       _____
% 0.17/0.62  ___  __ \_________(_)________________________________
% 0.17/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.17/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.17/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.17/0.62  
% 0.17/0.62  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.62  (2023-06-19)
% 0.17/0.62  
% 0.17/0.62  (c) Philipp Rümmer, 2009-2023
% 0.17/0.62  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.62                Amanda Stjerna.
% 0.17/0.62  Free software under BSD-3-Clause.
% 0.17/0.62  
% 0.17/0.62  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.62  
% 0.17/0.63  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/0.64  Running up to 7 provers in parallel.
% 0.17/0.67  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.67  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.67  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.67  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.67  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.67  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.67  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.33/1.33  Prover 4: Preprocessing ...
% 3.33/1.33  Prover 1: Preprocessing ...
% 3.33/1.38  Prover 5: Preprocessing ...
% 3.33/1.38  Prover 0: Preprocessing ...
% 3.33/1.38  Prover 6: Preprocessing ...
% 3.33/1.38  Prover 2: Preprocessing ...
% 3.33/1.38  Prover 3: Preprocessing ...
% 11.16/2.33  Prover 3: Warning: ignoring some quantifiers
% 11.16/2.36  Prover 1: Warning: ignoring some quantifiers
% 11.65/2.40  Prover 6: Proving ...
% 11.65/2.40  Prover 3: Constructing countermodel ...
% 11.65/2.42  Prover 1: Constructing countermodel ...
% 12.22/2.49  Prover 4: Constructing countermodel ...
% 12.22/2.49  Prover 2: Proving ...
% 12.43/2.50  Prover 5: Proving ...
% 12.43/2.53  Prover 0: Proving ...
% 13.11/2.71  Prover 3: proved (2050ms)
% 13.11/2.71  
% 13.11/2.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.11/2.72  
% 13.11/2.72  Prover 5: stopped
% 13.11/2.72  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.11/2.72  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.11/2.72  Prover 2: stopped
% 13.11/2.73  Prover 6: proved (2064ms)
% 13.11/2.73  
% 13.11/2.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.11/2.73  
% 13.11/2.73  Prover 0: stopped
% 13.78/2.74  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.78/2.74  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.78/2.74  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.31/2.82  Prover 11: Preprocessing ...
% 14.31/2.83  Prover 7: Preprocessing ...
% 14.31/2.83  Prover 8: Preprocessing ...
% 14.31/2.83  Prover 4: Found proof (size 17)
% 14.31/2.83  Prover 4: proved (2172ms)
% 14.31/2.83  Prover 1: Found proof (size 17)
% 14.31/2.83  Prover 1: proved (2183ms)
% 14.31/2.85  Prover 13: Preprocessing ...
% 14.68/2.87  Prover 10: Preprocessing ...
% 14.68/2.91  Prover 7: stopped
% 14.68/2.92  Prover 11: stopped
% 14.68/2.94  Prover 10: stopped
% 14.68/2.94  Prover 13: stopped
% 15.75/3.05  Prover 8: Warning: ignoring some quantifiers
% 15.75/3.08  Prover 8: Constructing countermodel ...
% 15.75/3.10  Prover 8: stopped
% 15.75/3.10  
% 15.75/3.10  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.75/3.10  
% 16.10/3.11  % SZS output start Proof for theBenchmark
% 16.10/3.12  Assumptions after simplification:
% 16.10/3.12  ---------------------------------
% 16.10/3.12  
% 16.10/3.12    (l24_co)
% 16.10/3.16     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: int] :  ? [v5:
% 16.10/3.16      $i] : ( ~ (v4 = 0) & ok(v5) = 0 & triple(v0, v1, v2) = v3 & check_cpq(v5) =
% 16.10/3.16      0 & check_cpq(v3) = v4 & findmin_cpq_eff(v3) = v5 & $i(v5) & $i(v3) & $i(v2)
% 16.10/3.16      & $i(v1) & $i(v0))
% 16.10/3.16  
% 16.10/3.16    (l24_l34)
% 16.36/3.17     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~ (triple(v0, v1,
% 16.36/3.17          v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5:
% 16.36/3.17        $i] :  ? [v6: any] : (check_cpq(v5) = v6 & check_cpq(v3) = v4 &
% 16.36/3.17        findmin_cpq_eff(v3) = v5 & $i(v5) & ( ~ (v6 = 0) | v4 = 0)))
% 16.36/3.17  
% 16.36/3.17    (function-axioms)
% 16.36/3.19     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0
% 16.36/3.19      |  ~ (triple(v4, v3, v2) = v1) |  ~ (triple(v4, v3, v2) = v0)) &  ! [v0:
% 16.36/3.19      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 16.36/3.19    :  ! [v4: $i] : (v1 = v0 |  ~ (pair_in_list(v4, v3, v2) = v1) |  ~
% 16.36/3.19      (pair_in_list(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 16.36/3.19     ! [v3: $i] : (v1 = v0 |  ~ (remove_pqp(v3, v2) = v1) |  ~ (remove_pqp(v3, v2)
% 16.36/3.19        = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0
% 16.36/3.19      |  ~ (insert_pqp(v3, v2) = v1) |  ~ (insert_pqp(v3, v2) = v0)) &  ! [v0:
% 16.36/3.19      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 16.36/3.19    : (v1 = v0 |  ~ (contains_cpq(v3, v2) = v1) |  ~ (contains_cpq(v3, v2) = v0))
% 16.36/3.19    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 16.36/3.19      (remove_cpq(v3, v2) = v1) |  ~ (remove_cpq(v3, v2) = v0)) &  ! [v0: $i] :  !
% 16.36/3.19    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (insert_cpq(v3, v2) = v1)
% 16.36/3.19      |  ~ (insert_cpq(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 16.36/3.19      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (succ_cpq(v3,
% 16.36/3.19          v2) = v1) |  ~ (succ_cpq(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 16.36/3.19    [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (update_slb(v3, v2) = v1) |  ~
% 16.36/3.19      (update_slb(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 16.36/3.19    [v3: $i] : (v1 = v0 |  ~ (lookup_slb(v3, v2) = v1) |  ~ (lookup_slb(v3, v2) =
% 16.36/3.19        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 16.36/3.19      ~ (remove_slb(v3, v2) = v1) |  ~ (remove_slb(v3, v2) = v0)) &  ! [v0:
% 16.36/3.19      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 16.36/3.19    : (v1 = v0 |  ~ (contains_slb(v3, v2) = v1) |  ~ (contains_slb(v3, v2) = v0))
% 16.36/3.19    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 16.36/3.19      (pair(v3, v2) = v1) |  ~ (pair(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] : 
% 16.36/3.19    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (insert_slb(v3, v2) = v1) |  ~
% 16.36/3.19      (insert_slb(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 16.36/3.19      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 16.36/3.19      (strictly_less_than(v3, v2) = v1) |  ~ (strictly_less_than(v3, v2) = v0)) & 
% 16.36/3.19    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 16.36/3.19      $i] : (v1 = v0 |  ~ (less_than(v3, v2) = v1) |  ~ (less_than(v3, v2) = v0))
% 16.36/3.19    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 16.36/3.19      (removemin_cpq_res(v2) = v1) |  ~ (removemin_cpq_res(v2) = v0)) &  ! [v0:
% 16.36/3.19      $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (findmin_cpq_res(v2) = v1) |
% 16.36/3.19       ~ (findmin_cpq_res(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 16.36/3.19    (v1 = v0 |  ~ (findmin_pqp_res(v2) = v1) |  ~ (findmin_pqp_res(v2) = v0)) &  !
% 16.36/3.19    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 16.36/3.19      |  ~ (ok(v2) = v1) |  ~ (ok(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 16.36/3.19    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (check_cpq(v2) = v1) | 
% 16.36/3.19      ~ (check_cpq(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0
% 16.36/3.19      |  ~ (removemin_cpq_eff(v2) = v1) |  ~ (removemin_cpq_eff(v2) = v0)) &  !
% 16.36/3.19    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (findmin_cpq_eff(v2) =
% 16.36/3.19        v1) |  ~ (findmin_cpq_eff(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 16.36/3.19    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (isnonempty_slb(v2) =
% 16.36/3.19        v1) |  ~ (isnonempty_slb(v2) = v0))
% 16.36/3.19  
% 16.36/3.19  Further assumptions not needed in the proof:
% 16.36/3.19  --------------------------------------------
% 16.36/3.19  ax18, ax19, ax20, ax21, ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax30,
% 16.36/3.19  ax31, ax32, ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax40, ax41, ax42, ax43,
% 16.36/3.19  ax44, ax45, ax46, ax47, ax48, ax49, ax50, ax51, ax52, ax53, bottom_smallest,
% 16.36/3.19  reflexivity, stricly_smaller_definition, totality, transitivity
% 16.36/3.19  
% 16.36/3.19  Those formulas are unsatisfiable:
% 16.36/3.19  ---------------------------------
% 16.36/3.19  
% 16.36/3.19  Begin of proof
% 16.36/3.20  | 
% 16.36/3.20  | ALPHA: (function-axioms) implies:
% 16.36/3.20  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 16.36/3.20  |          (findmin_cpq_eff(v2) = v1) |  ~ (findmin_cpq_eff(v2) = v0))
% 16.36/3.20  |   (2)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 16.36/3.20  |        (v1 = v0 |  ~ (check_cpq(v2) = v1) |  ~ (check_cpq(v2) = v0))
% 16.36/3.20  | 
% 16.36/3.20  | DELTA: instantiating (l24_co) with fresh symbols all_47_0, all_47_1, all_47_2,
% 16.36/3.20  |        all_47_3, all_47_4, all_47_5 gives:
% 16.36/3.20  |   (3)   ~ (all_47_1 = 0) & ok(all_47_0) = 0 & triple(all_47_5, all_47_4,
% 16.36/3.20  |          all_47_3) = all_47_2 & check_cpq(all_47_0) = 0 & check_cpq(all_47_2)
% 16.36/3.20  |        = all_47_1 & findmin_cpq_eff(all_47_2) = all_47_0 & $i(all_47_0) &
% 16.36/3.20  |        $i(all_47_2) & $i(all_47_3) & $i(all_47_4) & $i(all_47_5)
% 16.36/3.20  | 
% 16.36/3.20  | ALPHA: (3) implies:
% 16.36/3.20  |   (4)   ~ (all_47_1 = 0)
% 16.36/3.21  |   (5)  $i(all_47_5)
% 16.36/3.21  |   (6)  $i(all_47_4)
% 16.36/3.21  |   (7)  $i(all_47_3)
% 16.36/3.21  |   (8)  findmin_cpq_eff(all_47_2) = all_47_0
% 16.36/3.21  |   (9)  check_cpq(all_47_2) = all_47_1
% 16.36/3.21  |   (10)  check_cpq(all_47_0) = 0
% 16.36/3.21  |   (11)  triple(all_47_5, all_47_4, all_47_3) = all_47_2
% 16.36/3.21  | 
% 16.36/3.21  | GROUND_INST: instantiating (l24_l34) with all_47_5, all_47_4, all_47_3,
% 16.36/3.21  |              all_47_2, simplifying with (5), (6), (7), (11) gives:
% 16.36/3.21  |   (12)   ? [v0: any] :  ? [v1: $i] :  ? [v2: any] : (check_cpq(v1) = v2 &
% 16.36/3.21  |           check_cpq(all_47_2) = v0 & findmin_cpq_eff(all_47_2) = v1 & $i(v1) &
% 16.36/3.21  |           ( ~ (v2 = 0) | v0 = 0))
% 16.36/3.21  | 
% 16.36/3.21  | DELTA: instantiating (12) with fresh symbols all_56_0, all_56_1, all_56_2
% 16.36/3.21  |        gives:
% 16.36/3.21  |   (13)  check_cpq(all_56_1) = all_56_0 & check_cpq(all_47_2) = all_56_2 &
% 16.36/3.21  |         findmin_cpq_eff(all_47_2) = all_56_1 & $i(all_56_1) & ( ~ (all_56_0 =
% 16.36/3.21  |             0) | all_56_2 = 0)
% 16.36/3.21  | 
% 16.36/3.21  | ALPHA: (13) implies:
% 16.36/3.21  |   (14)  findmin_cpq_eff(all_47_2) = all_56_1
% 16.36/3.21  |   (15)  check_cpq(all_47_2) = all_56_2
% 16.36/3.21  |   (16)  check_cpq(all_56_1) = all_56_0
% 16.36/3.21  |   (17)   ~ (all_56_0 = 0) | all_56_2 = 0
% 16.36/3.21  | 
% 16.36/3.21  | GROUND_INST: instantiating (1) with all_47_0, all_56_1, all_47_2, simplifying
% 16.36/3.21  |              with (8), (14) gives:
% 16.36/3.21  |   (18)  all_56_1 = all_47_0
% 16.36/3.21  | 
% 16.36/3.21  | GROUND_INST: instantiating (2) with all_47_1, all_56_2, all_47_2, simplifying
% 16.36/3.21  |              with (9), (15) gives:
% 16.36/3.21  |   (19)  all_56_2 = all_47_1
% 16.36/3.21  | 
% 16.36/3.22  | REDUCE: (16), (18) imply:
% 16.36/3.22  |   (20)  check_cpq(all_47_0) = all_56_0
% 16.36/3.22  | 
% 16.36/3.22  | BETA: splitting (17) gives:
% 16.36/3.22  | 
% 16.36/3.22  | Case 1:
% 16.36/3.22  | | 
% 16.36/3.22  | |   (21)   ~ (all_56_0 = 0)
% 16.36/3.22  | | 
% 16.36/3.22  | | GROUND_INST: instantiating (2) with 0, all_56_0, all_47_0, simplifying with
% 16.36/3.22  | |              (10), (20) gives:
% 16.36/3.22  | |   (22)  all_56_0 = 0
% 16.36/3.22  | | 
% 16.36/3.22  | | REDUCE: (21), (22) imply:
% 16.36/3.22  | |   (23)  $false
% 16.36/3.22  | | 
% 16.36/3.22  | | CLOSE: (23) is inconsistent.
% 16.36/3.22  | | 
% 16.36/3.22  | Case 2:
% 16.36/3.22  | | 
% 16.36/3.22  | |   (24)  all_56_2 = 0
% 16.36/3.22  | | 
% 16.36/3.22  | | COMBINE_EQS: (19), (24) imply:
% 16.36/3.22  | |   (25)  all_47_1 = 0
% 16.36/3.22  | | 
% 16.36/3.22  | | SIMP: (25) implies:
% 16.36/3.22  | |   (26)  all_47_1 = 0
% 16.36/3.22  | | 
% 16.36/3.22  | | REDUCE: (4), (26) imply:
% 16.36/3.22  | |   (27)  $false
% 16.36/3.22  | | 
% 16.36/3.22  | | CLOSE: (27) is inconsistent.
% 16.36/3.22  | | 
% 16.36/3.22  | End of split
% 16.36/3.22  | 
% 16.36/3.22  End of proof
% 16.36/3.22  % SZS output end Proof for theBenchmark
% 16.36/3.22  
% 16.36/3.22  2596ms
%------------------------------------------------------------------------------