TSTP Solution File: PLA027+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PLA027+1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %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  : 600s
% DateTime : Mon Jul 18 17:27:19 EDT 2022

% Result   : CounterSatisfiable 0.18s 0.40s
% Output   : FiniteModel 0.18s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    5

% Comments : 
%------------------------------------------------------------------------------
% domain size is 5
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4"
      | X = "5" ) ).

fof(a_block,fi_predicates,
    ( ( a_block("1")
    <=> $true )
    & ( a_block("2")
    <=> $true )
    & ( a_block("3")
    <=> $true )
    & ( a_block("4")
    <=> $true )
    & ( a_block("5")
    <=> $true ) ) ).

fof(block_1,fi_functors,
    block_1 = "2" ).

fof(block_2,fi_functors,
    block_2 = "3" ).

fof(block_3,fi_functors,
    block_3 = "4" ).

fof(block_4,fi_functors,
    block_4 = "5" ).

fof(clear,fi_predicates,
    ( ( clear("1","1")
    <=> $true )
    & ( clear("1","2")
    <=> $false )
    & ( clear("1","3")
    <=> $false )
    & ( clear("1","4")
    <=> $false )
    & ( clear("1","5")
    <=> $false )
    & ( clear("2","1")
    <=> $true )
    & ( clear("2","2")
    <=> $true )
    & ( clear("2","3")
    <=> $false )
    & ( clear("2","4")
    <=> $false )
    & ( clear("2","5")
    <=> $false )
    & ( clear("3","1")
    <=> $false )
    & ( clear("3","2")
    <=> $true )
    & ( clear("3","3")
    <=> $false )
    & ( clear("3","4")
    <=> $false )
    & ( clear("3","5")
    <=> $false )
    & ( clear("4","1")
    <=> $false )
    & ( clear("4","2")
    <=> $false )
    & ( clear("4","3")
    <=> $false )
    & ( clear("4","4")
    <=> $false )
    & ( clear("4","5")
    <=> $false )
    & ( clear("5","1")
    <=> $false )
    & ( clear("5","2")
    <=> $false )
    & ( clear("5","3")
    <=> $false )
    & ( clear("5","4")
    <=> $false )
    & ( clear("5","5")
    <=> $false ) ) ).

fof(destination,fi_predicates,
    ( ( destination("1","1")
    <=> $true )
    & ( destination("1","2")
    <=> $false )
    & ( destination("1","3")
    <=> $false )
    & ( destination("1","4")
    <=> $false )
    & ( destination("1","5")
    <=> $false )
    & ( destination("2","1")
    <=> $false )
    & ( destination("2","2")
    <=> $false )
    & ( destination("2","3")
    <=> $false )
    & ( destination("2","4")
    <=> $false )
    & ( destination("2","5")
    <=> $false )
    & ( destination("3","1")
    <=> $false )
    & ( destination("3","2")
    <=> $true )
    & ( destination("3","3")
    <=> $false )
    & ( destination("3","4")
    <=> $false )
    & ( destination("3","5")
    <=> $false )
    & ( destination("4","1")
    <=> $false )
    & ( destination("4","2")
    <=> $false )
    & ( destination("4","3")
    <=> $false )
    & ( destination("4","4")
    <=> $false )
    & ( destination("4","5")
    <=> $false )
    & ( destination("5","1")
    <=> $false )
    & ( destination("5","2")
    <=> $false )
    & ( destination("5","3")
    <=> $false )
    & ( destination("5","4")
    <=> $false )
    & ( destination("5","5")
    <=> $false ) ) ).

fof(different,fi_predicates,
    ( ( different("1","1")
    <=> $false )
    & ( different("1","2")
    <=> $false )
    & ( different("1","3")
    <=> $true )
    & ( different("1","4")
    <=> $true )
    & ( different("1","5")
    <=> $false )
    & ( different("2","1")
    <=> $true )
    & ( different("2","2")
    <=> $false )
    & ( different("2","3")
    <=> $true )
    & ( different("2","4")
    <=> $true )
    & ( different("2","5")
    <=> $true )
    & ( different("3","1")
    <=> $true )
    & ( different("3","2")
    <=> $true )
    & ( different("3","3")
    <=> $false )
    & ( different("3","4")
    <=> $true )
    & ( different("3","5")
    <=> $true )
    & ( different("4","1")
    <=> $true )
    & ( different("4","2")
    <=> $false )
    & ( different("4","3")
    <=> $false )
    & ( different("4","4")
    <=> $false )
    & ( different("4","5")
    <=> $true )
    & ( different("5","1")
    <=> $true )
    & ( different("5","2")
    <=> $false )
    & ( different("5","3")
    <=> $false )
    & ( different("5","4")
    <=> $false )
    & ( different("5","5")
    <=> $false ) ) ).

fof(fixed,fi_predicates,
    ( ( fixed("1")
    <=> $true )
    & ( fixed("2")
    <=> $false )
    & ( fixed("3")
    <=> $false )
    & ( fixed("4")
    <=> $false )
    & ( fixed("5")
    <=> $false ) ) ).

fof(goal_time,fi_predicates,
    ! [X1] :
      ( goal_time(X1)
    <=> $true ) ).

fof(neq,fi_predicates,
    ( ( neq("1","1")
    <=> $false )
    & ( neq("1","2")
    <=> $true )
    & ( neq("1","3")
    <=> $true )
    & ( neq("1","4")
    <=> $true )
    & ( neq("1","5")
    <=> $true )
    & ( neq("2","1")
    <=> $true )
    & ( neq("2","2")
    <=> $false )
    & ( neq("2","3")
    <=> $true )
    & ( neq("2","4")
    <=> $true )
    & ( neq("2","5")
    <=> $true )
    & ( neq("3","1")
    <=> $true )
    & ( neq("3","2")
    <=> $true )
    & ( neq("3","3")
    <=> $false )
    & ( neq("3","4")
    <=> $true )
    & ( neq("3","5")
    <=> $true )
    & ( neq("4","1")
    <=> $true )
    & ( neq("4","2")
    <=> $true )
    & ( neq("4","3")
    <=> $true )
    & ( neq("4","4")
    <=> $false )
    & ( neq("4","5")
    <=> $true )
    & ( neq("5","1")
    <=> $true )
    & ( neq("5","2")
    <=> $true )
    & ( neq("5","3")
    <=> $true )
    & ( neq("5","4")
    <=> $true )
    & ( neq("5","5")
    <=> $false ) ) ).

fof(nonfixed,fi_predicates,
    ( ( nonfixed("1")
    <=> $false )
    & ( nonfixed("2")
    <=> $true )
    & ( nonfixed("3")
    <=> $true )
    & ( nonfixed("4")
    <=> $true )
    & ( nonfixed("5")
    <=> $true ) ) ).

fof(object,fi_predicates,
    ( ( object("1","1")
    <=> $false )
    & ( object("1","2")
    <=> $false )
    & ( object("1","3")
    <=> $false )
    & ( object("1","4")
    <=> $false )
    & ( object("1","5")
    <=> $false )
    & ( object("2","1")
    <=> $true )
    & ( object("2","2")
    <=> $true )
    & ( object("2","3")
    <=> $false )
    & ( object("2","4")
    <=> $false )
    & ( object("2","5")
    <=> $false )
    & ( object("3","1")
    <=> $false )
    & ( object("3","2")
    <=> $false )
    & ( object("3","3")
    <=> $false )
    & ( object("3","4")
    <=> $false )
    & ( object("3","5")
    <=> $false )
    & ( object("4","1")
    <=> $false )
    & ( object("4","2")
    <=> $false )
    & ( object("4","3")
    <=> $false )
    & ( object("4","4")
    <=> $false )
    & ( object("4","5")
    <=> $false )
    & ( object("5","1")
    <=> $false )
    & ( object("5","2")
    <=> $false )
    & ( object("5","3")
    <=> $false )
    & ( object("5","4")
    <=> $false )
    & ( object("5","5")
    <=> $false ) ) ).

fof(on,fi_predicates,
    ( ( on("1","1","1")
    <=> $false )
    & ( on("1","1","2")
    <=> $false )
    & ( on("1","1","3")
    <=> $false )
    & ( on("1","1","4")
    <=> $false )
    & ( on("1","1","5")
    <=> $false )
    & ( on("1","2","1")
    <=> $false )
    & ( on("1","2","2")
    <=> $false )
    & ( on("1","2","3")
    <=> $false )
    & ( on("1","2","4")
    <=> $false )
    & ( on("1","2","5")
    <=> $false )
    & ( on("1","3","1")
    <=> $false )
    & ( on("1","3","2")
    <=> $false )
    & ( on("1","3","3")
    <=> $false )
    & ( on("1","3","4")
    <=> $false )
    & ( on("1","3","5")
    <=> $false )
    & ( on("1","4","1")
    <=> $false )
    & ( on("1","4","2")
    <=> $false )
    & ( on("1","4","3")
    <=> $false )
    & ( on("1","4","4")
    <=> $false )
    & ( on("1","4","5")
    <=> $false )
    & ( on("1","5","1")
    <=> $false )
    & ( on("1","5","2")
    <=> $false )
    & ( on("1","5","3")
    <=> $false )
    & ( on("1","5","4")
    <=> $false )
    & ( on("1","5","5")
    <=> $false )
    & ( on("2","1","1")
    <=> $false )
    & ( on("2","1","2")
    <=> $true )
    & ( on("2","1","3")
    <=> $false )
    & ( on("2","1","4")
    <=> $false )
    & ( on("2","1","5")
    <=> $false )
    & ( on("2","2","1")
    <=> $false )
    & ( on("2","2","2")
    <=> $false )
    & ( on("2","2","3")
    <=> $false )
    & ( on("2","2","4")
    <=> $false )
    & ( on("2","2","5")
    <=> $false )
    & ( on("2","3","1")
    <=> $true )
    & ( on("2","3","2")
    <=> $false )
    & ( on("2","3","3")
    <=> $false )
    & ( on("2","3","4")
    <=> $false )
    & ( on("2","3","5")
    <=> $false )
    & ( on("2","4","1")
    <=> $false )
    & ( on("2","4","2")
    <=> $false )
    & ( on("2","4","3")
    <=> $false )
    & ( on("2","4","4")
    <=> $false )
    & ( on("2","4","5")
    <=> $false )
    & ( on("2","5","1")
    <=> $false )
    & ( on("2","5","2")
    <=> $false )
    & ( on("2","5","3")
    <=> $false )
    & ( on("2","5","4")
    <=> $false )
    & ( on("2","5","5")
    <=> $false )
    & ( on("3","1","1")
    <=> $false )
    & ( on("3","1","2")
    <=> $false )
    & ( on("3","1","3")
    <=> $false )
    & ( on("3","1","4")
    <=> $false )
    & ( on("3","1","5")
    <=> $false )
    & ( on("3","2","1")
    <=> $false )
    & ( on("3","2","2")
    <=> $false )
    & ( on("3","2","3")
    <=> $false )
    & ( on("3","2","4")
    <=> $false )
    & ( on("3","2","5")
    <=> $false )
    & ( on("3","3","1")
    <=> $false )
    & ( on("3","3","2")
    <=> $false )
    & ( on("3","3","3")
    <=> $false )
    & ( on("3","3","4")
    <=> $false )
    & ( on("3","3","5")
    <=> $false )
    & ( on("3","4","1")
    <=> $true )
    & ( on("3","4","2")
    <=> $true )
    & ( on("3","4","3")
    <=> $false )
    & ( on("3","4","4")
    <=> $false )
    & ( on("3","4","5")
    <=> $false )
    & ( on("3","5","1")
    <=> $false )
    & ( on("3","5","2")
    <=> $false )
    & ( on("3","5","3")
    <=> $false )
    & ( on("3","5","4")
    <=> $false )
    & ( on("3","5","5")
    <=> $false )
    & ( on("4","1","1")
    <=> $false )
    & ( on("4","1","2")
    <=> $false )
    & ( on("4","1","3")
    <=> $false )
    & ( on("4","1","4")
    <=> $false )
    & ( on("4","1","5")
    <=> $false )
    & ( on("4","2","1")
    <=> $false )
    & ( on("4","2","2")
    <=> $false )
    & ( on("4","2","3")
    <=> $false )
    & ( on("4","2","4")
    <=> $false )
    & ( on("4","2","5")
    <=> $false )
    & ( on("4","3","1")
    <=> $false )
    & ( on("4","3","2")
    <=> $false )
    & ( on("4","3","3")
    <=> $false )
    & ( on("4","3","4")
    <=> $false )
    & ( on("4","3","5")
    <=> $false )
    & ( on("4","4","1")
    <=> $false )
    & ( on("4","4","2")
    <=> $false )
    & ( on("4","4","3")
    <=> $false )
    & ( on("4","4","4")
    <=> $false )
    & ( on("4","4","5")
    <=> $false )
    & ( on("4","5","1")
    <=> $true )
    & ( on("4","5","2")
    <=> $true )
    & ( on("4","5","3")
    <=> $false )
    & ( on("4","5","4")
    <=> $false )
    & ( on("4","5","5")
    <=> $false )
    & ( on("5","1","1")
    <=> $true )
    & ( on("5","1","2")
    <=> $true )
    & ( on("5","1","3")
    <=> $false )
    & ( on("5","1","4")
    <=> $false )
    & ( on("5","1","5")
    <=> $false )
    & ( on("5","2","1")
    <=> $false )
    & ( on("5","2","2")
    <=> $false )
    & ( on("5","2","3")
    <=> $false )
    & ( on("5","2","4")
    <=> $false )
    & ( on("5","2","5")
    <=> $false )
    & ( on("5","3","1")
    <=> $false )
    & ( on("5","3","2")
    <=> $false )
    & ( on("5","3","3")
    <=> $false )
    & ( on("5","3","4")
    <=> $false )
    & ( on("5","3","5")
    <=> $false )
    & ( on("5","4","1")
    <=> $false )
    & ( on("5","4","2")
    <=> $false )
    & ( on("5","4","3")
    <=> $false )
    & ( on("5","4","4")
    <=> $false )
    & ( on("5","4","5")
    <=> $false )
    & ( on("5","5","1")
    <=> $false )
    & ( on("5","5","2")
    <=> $false )
    & ( on("5","5","3")
    <=> $false )
    & ( on("5","5","4")
    <=> $false )
    & ( on("5","5","5")
    <=> $false ) ) ).

fof(s,fi_functors,
    ( s("1") = "2"
    & s("2") = "1"
    & s("3") = "2"
    & s("4") = "3"
    & s("5") = "4" ) ).

fof(sK69_goal_state_S,fi_functors,
    sK69_goal_state_S = "1" ).

fof(source,fi_predicates,
    ( ( source("1","1")
    <=> $false )
    & ( source("1","2")
    <=> $true )
    & ( source("1","3")
    <=> $false )
    & ( source("1","4")
    <=> $false )
    & ( source("1","5")
    <=> $false )
    & ( source("2","1")
    <=> $false )
    & ( source("2","2")
    <=> $false )
    & ( source("2","3")
    <=> $false )
    & ( source("2","4")
    <=> $false )
    & ( source("2","5")
    <=> $false )
    & ( source("3","1")
    <=> $true )
    & ( source("3","2")
    <=> $false )
    & ( source("3","3")
    <=> $false )
    & ( source("3","4")
    <=> $false )
    & ( source("3","5")
    <=> $false )
    & ( source("4","1")
    <=> $false )
    & ( source("4","2")
    <=> $false )
    & ( source("4","3")
    <=> $false )
    & ( source("4","4")
    <=> $false )
    & ( source("4","5")
    <=> $false )
    & ( source("5","1")
    <=> $false )
    & ( source("5","2")
    <=> $false )
    & ( source("5","3")
    <=> $false )
    & ( source("5","4")
    <=> $false )
    & ( source("5","5")
    <=> $false ) ) ).

fof(table,fi_functors,
    table = "1" ).

fof(time,fi_predicates,
    ( ( time("1")
    <=> $true )
    & ( time("2")
    <=> $true )
    & ( time("3")
    <=> $false )
    & ( time("4")
    <=> $false )
    & ( time("5")
    <=> $false ) ) ).

fof(time_0,fi_functors,
    time_0 = "1" ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PLA027+1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.07/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue May 31 21:20:58 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  Paradox, version 4.0, 2010-06-29.
% 0.13/0.34  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.35  Reading 'Axioms/PLA002+0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/PLA002+0.ax') OK
% 0.13/0.36  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  +++ BEGIN MODEL
% 0.18/0.40  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.40  +++ END MODEL
% 0.18/0.40  +++ RESULT: CounterSatisfiable
% 0.18/0.40  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------