TSTP Solution File: MGT037+2 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : MGT037+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n023.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 : Sun Jul 17 22:22:13 EDT 2022

% Result   : CounterSatisfiable 0.14s 0.39s
% Output   : FiniteModel 0.14s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

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

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

fof(appear,fi_functors,
    ( appear("1","1") = "1"
    & appear("2","1") = "1"
    & appear("3","1") = "3"
    & ! [X1] : appear(X1,"2") = appear(X1,"1")
    & ! [X1] : appear(X1,"3") = appear(X1,"2") ) ).

fof(cardinality_at_time,fi_functors,
    ( cardinality_at_time("1","1") = "2"
    & cardinality_at_time("1","2") = "3"
    & cardinality_at_time("1","3") = "3"
    & cardinality_at_time("2","1") = "3"
    & cardinality_at_time("2","2") = "1"
    & cardinality_at_time("2","3") = "3"
    & cardinality_at_time("3","1") = "1"
    & cardinality_at_time("3","2") = "1"
    & cardinality_at_time("3","3") = "3" ) ).

fof(constant,fi_predicates,
    ( ( constant("1")
    <=> $false )
    & ( constant("2")
    <=> $false )
    & ( constant("3")
    <=> $false ) ) ).

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

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

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

fof(equilibrium,fi_functors,
    ( equilibrium("1") = "1"
    & equilibrium("2") = equilibrium("1")
    & equilibrium("3") = equilibrium("2") ) ).

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

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

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

fof(growth_rate,fi_functors,
    ( growth_rate("1","1") = "2"
    & growth_rate("1","2") = "2"
    & growth_rate("1","3") = "3"
    & growth_rate("2","1") = "3"
    & growth_rate("2","2") = "2"
    & growth_rate("2","3") = "3"
    & growth_rate("3","1") = "2"
    & growth_rate("3","2") = "2"
    & growth_rate("3","3") = "1" ) ).

fof(in_environment,fi_predicates,
    ( ( in_environment("1","1")
    <=> $false )
    & ( in_environment("1","2")
    <=> $true )
    & ( in_environment("1","3")
    <=> $true )
    & ! [X2] :
        ( in_environment("2",X2)
      <=> in_environment("1",X2) )
    & ! [X2] :
        ( in_environment("3",X2)
      <=> in_environment("2",X2) ) ) ).

fof(number_of_organizations,fi_functors,
    ( number_of_organizations("1","1") = "2"
    & number_of_organizations("1","2") = "2"
    & number_of_organizations("1","3") = "2"
    & ! [X2] : number_of_organizations("2",X2) = number_of_organizations("1",X2)
    & ! [X2] : number_of_organizations("3",X2) = number_of_organizations("2",X2) ) ).

fof(resilience,fi_functors,
    ( resilience("1") = "2"
    & resilience("2") = "2"
    & resilience("3") = "1" ) ).

fof(resources,fi_functors,
    ( resources("1","1") = "1"
    & resources("1","2") = "3"
    & resources("1","3") = "3"
    & ! [X2] : resources("2",X2) = resources("1",X2)
    & ! [X2] : resources("3",X2) = resources("2",X2) ) ).

fof(sK0_mp_previous_negative_growth_To,fi_functors,
    ( sK0_mp_previous_negative_growth_To("1","1") = "3"
    & sK0_mp_previous_negative_growth_To("1","2") = "3"
    & sK0_mp_previous_negative_growth_To("1","3") = "1"
    & ! [X2] : sK0_mp_previous_negative_growth_To("2",X2) = sK0_mp_previous_negative_growth_To("1",X2)
    & ! [X2] : sK0_mp_previous_negative_growth_To("3",X2) = sK0_mp_previous_negative_growth_To("2",X2) ) ).

fof(sK33_prove_t6_T,fi_functors,
    sK33_prove_t6_T = "2" ).

fof(sK34_prove_t6_E,fi_functors,
    sK34_prove_t6_E = "1" ).

fof(sK5_mp_non_decreasing_X,fi_functors,
    ( sK5_mp_non_decreasing_X("1","1") = "2"
    & sK5_mp_non_decreasing_X("1","2") = "1"
    & sK5_mp_non_decreasing_X("1","3") = "3"
    & ! [X2] : sK5_mp_non_decreasing_X("2",X2) = sK5_mp_non_decreasing_X("1",X2)
    & ! [X2] : sK5_mp_non_decreasing_X("3",X2) = sK5_mp_non_decreasing_X("2",X2) ) ).

fof(subpopulation,fi_predicates,
    ( ( subpopulation("1","1","1")
    <=> $true )
    & ( subpopulation("1","1","2")
    <=> $true )
    & ( subpopulation("1","1","3")
    <=> $true )
    & ( subpopulation("2","1","1")
    <=> $true )
    & ( subpopulation("2","1","2")
    <=> $true )
    & ( subpopulation("2","1","3")
    <=> $true )
    & ( subpopulation("3","1","1")
    <=> $false )
    & ( subpopulation("3","1","2")
    <=> $false )
    & ( subpopulation("3","1","3")
    <=> $false )
    & ! [X1,X3] :
        ( subpopulation(X1,"2",X3)
      <=> subpopulation(X1,"1",X3) )
    & ! [X1,X3] :
        ( subpopulation(X1,"3",X3)
      <=> subpopulation(X1,"2",X3) ) ) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : MGT037+2 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun  9 11:19:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Paradox, version 4.0, 2010-06-29.
% 0.14/0.35  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.14/0.37  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  +++ BEGIN MODEL
% 0.14/0.39  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.39  +++ END MODEL
% 0.14/0.39  +++ RESULT: CounterSatisfiable
% 0.14/0.39  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------