TSTP Solution File: LAT387+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : LAT387+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n009.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 06:21:33 EDT 2022

% Result   : CounterSatisfiable 0.13s 0.39s
% Output   : FiniteModel 0.13s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

fof(aCompleteLattice0,fi_predicates,
    ( ( aCompleteLattice0("1")
    <=> $true )
    & ( aCompleteLattice0("2")
    <=> $true ) ) ).

fof(aElement0,fi_predicates,
    ( ( aElement0("1")
    <=> $true )
    & ( aElement0("2")
    <=> $true ) ) ).

fof(aElementOf0,fi_predicates,
    ( ( aElementOf0("1","1")
    <=> $true )
    & ( aElementOf0("1","2")
    <=> $false )
    & ( aElementOf0("2","1")
    <=> $false )
    & ( aElementOf0("2","2")
    <=> $true ) ) ).

fof(aFixedPointOf0,fi_predicates,
    ( ( aFixedPointOf0("1","1")
    <=> $false )
    & ( aFixedPointOf0("2","1")
    <=> $true )
    & ! [X1] :
        ( aFixedPointOf0(X1,"2")
      <=> aFixedPointOf0(X1,"1") ) ) ).

fof(aFunction0,fi_predicates,
    ( ( aFunction0("1")
    <=> $true )
    & ( aFunction0("2")
    <=> aFunction0("1") ) ) ).

fof(aInfimumOfIn0,fi_predicates,
    ( ( aInfimumOfIn0("1","1","1")
    <=> $true )
    & ( aInfimumOfIn0("1","1","2")
    <=> $true )
    & ( aInfimumOfIn0("1","2","1")
    <=> $false )
    & ( aInfimumOfIn0("1","2","2")
    <=> $false )
    & ( aInfimumOfIn0("2","1","1")
    <=> $false )
    & ( aInfimumOfIn0("2","1","2")
    <=> $false )
    & ( aInfimumOfIn0("2","2","1")
    <=> $false )
    & ( aInfimumOfIn0("2","2","2")
    <=> $true ) ) ).

fof(aLowerBoundOfIn0,fi_predicates,
    ( ( aLowerBoundOfIn0("1","1","1")
    <=> $true )
    & ( aLowerBoundOfIn0("1","1","2")
    <=> $true )
    & ( aLowerBoundOfIn0("1","2","1")
    <=> $false )
    & ( aLowerBoundOfIn0("1","2","2")
    <=> $false )
    & ( aLowerBoundOfIn0("2","1","1")
    <=> $false )
    & ( aLowerBoundOfIn0("2","1","2")
    <=> $false )
    & ( aLowerBoundOfIn0("2","2","1")
    <=> $false )
    & ( aLowerBoundOfIn0("2","2","2")
    <=> $true ) ) ).

fof(aSet0,fi_predicates,
    ( ( aSet0("1")
    <=> $true )
    & ( aSet0("2")
    <=> $true ) ) ).

fof(aSubsetOf0,fi_predicates,
    ( ( aSubsetOf0("1","1")
    <=> $true )
    & ( aSubsetOf0("1","2")
    <=> $false )
    & ( aSubsetOf0("2","1")
    <=> $false )
    & ( aSubsetOf0("2","2")
    <=> $true ) ) ).

fof(aSupremumOfIn0,fi_predicates,
    ( ( aSupremumOfIn0("1","1","1")
    <=> $true )
    & ( aSupremumOfIn0("1","1","2")
    <=> $false )
    & ( aSupremumOfIn0("1","2","1")
    <=> $false )
    & ( aSupremumOfIn0("1","2","2")
    <=> $false )
    & ( aSupremumOfIn0("2","1","1")
    <=> $false )
    & ( aSupremumOfIn0("2","1","2")
    <=> $false )
    & ( aSupremumOfIn0("2","2","1")
    <=> $false )
    & ( aSupremumOfIn0("2","2","2")
    <=> $true ) ) ).

fof(aUpperBoundOfIn0,fi_predicates,
    ( ( aUpperBoundOfIn0("1","1","1")
    <=> $true )
    & ( aUpperBoundOfIn0("1","1","2")
    <=> $true )
    & ( aUpperBoundOfIn0("1","2","1")
    <=> $false )
    & ( aUpperBoundOfIn0("1","2","2")
    <=> $false )
    & ( aUpperBoundOfIn0("2","1","1")
    <=> $false )
    & ( aUpperBoundOfIn0("2","1","2")
    <=> $false )
    & ( aUpperBoundOfIn0("2","2","1")
    <=> $false )
    & ( aUpperBoundOfIn0("2","2","2")
    <=> $true ) ) ).

fof(cS1142,fi_functors,
    ( cS1142("1") = "1"
    & cS1142("2") = cS1142("1") ) ).

fof(cS1241,fi_functors,
    ( cS1241("1","1","1") = "1"
    & cS1241("1","1","2") = "1"
    & cS1241("2","1","1") = "1"
    & cS1241("2","1","2") = "1"
    & ! [X1,X3] : cS1241(X1,"2",X3) = cS1241(X1,"1",X3) ) ).

fof(isEmpty0,fi_predicates,
    ( ( isEmpty0("1")
    <=> $false )
    & ( isEmpty0("2")
    <=> $false ) ) ).

fof(isMonotone0,fi_predicates,
    ( ( isMonotone0("1")
    <=> $true )
    & ( isMonotone0("2")
    <=> isMonotone0("1") ) ) ).

fof(isOn0,fi_predicates,
    ( ( isOn0("1","1")
    <=> $false )
    & ( isOn0("1","2")
    <=> $true )
    & ! [X2] :
        ( isOn0("2",X2)
      <=> isOn0("1",X2) ) ) ).

fof(sK15_mDefLB_W3,fi_functors,
    ( sK15_mDefLB_W3("1","1") = "1"
    & sK15_mDefLB_W3("1","2") = "1"
    & sK15_mDefLB_W3("2","1") = "2"
    & sK15_mDefLB_W3("2","2") = "1" ) ).

fof(sK20_mDefUB_W3,fi_functors,
    ( sK20_mDefUB_W3("1","1") = "1"
    & sK20_mDefUB_W3("1","2") = "1"
    & sK20_mDefUB_W3("2","1") = "2"
    & sK20_mDefUB_W3("2","2") = "1" ) ).

fof(sK25_mDefInf_W3,fi_functors,
    ( sK25_mDefInf_W3("1","1","1") = "1"
    & sK25_mDefInf_W3("1","1","2") = "1"
    & sK25_mDefInf_W3("1","2","1") = "1"
    & sK25_mDefInf_W3("1","2","2") = "1"
    & sK25_mDefInf_W3("2","1","1") = "1"
    & sK25_mDefInf_W3("2","1","2") = "1"
    & sK25_mDefInf_W3("2","2","1") = "1"
    & sK25_mDefInf_W3("2","2","2") = "1" ) ).

fof(sK2_mDefEmpty_W1,fi_functors,
    ( sK2_mDefEmpty_W1("1") = "1"
    & sK2_mDefEmpty_W1("2") = "2" ) ).

fof(sK30_mDefSup_W3,fi_functors,
    ( sK30_mDefSup_W3("1","1","1") = "1"
    & sK30_mDefSup_W3("1","1","2") = "1"
    & sK30_mDefSup_W3("1","2","1") = "1"
    & sK30_mDefSup_W3("1","2","2") = "1"
    & sK30_mDefSup_W3("2","1","1") = "1"
    & sK30_mDefSup_W3("2","1","2") = "1"
    & sK30_mDefSup_W3("2","2","1") = "1"
    & sK30_mDefSup_W3("2","2","2") = "1" ) ).

fof(sK43_mDefCLat_W2,fi_functors,
    ( sK43_mDefCLat_W2("1","1") = "1"
    & sK43_mDefCLat_W2("1","2") = "1"
    & sK43_mDefCLat_W2("2","1") = "1"
    & sK43_mDefCLat_W2("2","2") = "2" ) ).

fof(sK44_mDefCLat_W3,fi_functors,
    ( sK44_mDefCLat_W3("1","1") = "1"
    & sK44_mDefCLat_W3("1","2") = "1"
    & sK44_mDefCLat_W3("2","1") = "1"
    & sK44_mDefCLat_W3("2","2") = "2" ) ).

fof(sK45_mDefCLat_W1,fi_functors,
    ( sK45_mDefCLat_W1("1") = "1"
    & sK45_mDefCLat_W1("2") = "1" ) ).

fof(sK58_mDefMonot_W2,fi_functors,
    ( sK58_mDefMonot_W2("1") = "1"
    & sK58_mDefMonot_W2("2") = sK58_mDefMonot_W2("1") ) ).

fof(sK59_mDefMonot_W1,fi_functors,
    ( sK59_mDefMonot_W1("1") = "1"
    & sK59_mDefMonot_W1("2") = sK59_mDefMonot_W1("1") ) ).

fof(sK5_mDefSub_W2,fi_functors,
    ( sK5_mDefSub_W2("1","1") = "1"
    & sK5_mDefSub_W2("1","2") = "2"
    & sK5_mDefSub_W2("2","1") = "1"
    & sK5_mDefSub_W2("2","2") = "2" ) ).

fof(sdtlpdtrp0,fi_functors,
    ( sdtlpdtrp0("1","1") = "1"
    & sdtlpdtrp0("1","2") = "2"
    & ! [X2] : sdtlpdtrp0("2",X2) = sdtlpdtrp0("1",X2) ) ).

fof(sdtlseqdt0,fi_predicates,
    ( ( sdtlseqdt0("1","1")
    <=> $true )
    & ( sdtlseqdt0("1","2")
    <=> $false )
    & ( sdtlseqdt0("2","1")
    <=> $false )
    & ( sdtlseqdt0("2","2")
    <=> $true ) ) ).

fof(szDzozmdt0,fi_functors,
    ( szDzozmdt0("1") = "2"
    & szDzozmdt0("2") = szDzozmdt0("1") ) ).

fof(szRzazndt0,fi_functors,
    ( szRzazndt0("1") = "2"
    & szRzazndt0("2") = szRzazndt0("1") ) ).

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT387+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n009.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  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 20:49:07 EDT 2022
% 0.13/0.34  % 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
% 0.13/0.36  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  +++ BEGIN MODEL
% 0.13/0.39  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39  +++ END MODEL
% 0.13/0.39  +++ RESULT: CounterSatisfiable
% 0.13/0.39  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------