TSTP Solution File: NUM448+1 by Paradox---4.0

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%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : NUM448+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n029.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 13:09:47 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.44s
% Output   : FiniteModel 0.19s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

fof(aDivisorOf0,fi_predicates,
    ( ( aDivisorOf0("1","1")
    <=> $false )
    & ( aDivisorOf0("1","2")
    <=> $false )
    & ( aDivisorOf0("2","1")
    <=> $false )
    & ( aDivisorOf0("2","2")
    <=> $false ) ) ).

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

fof(aInteger0,fi_predicates,
    ( ( aInteger0("1")
    <=> $true )
    & ( aInteger0("2")
    <=> $false ) ) ).

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

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

fof(cS1395,fi_functors,
    cS1395 = "2" ).

fof(cS2043,fi_functors,
    cS2043 = "1" ).

fof(cS2076,fi_functors,
    cS2076 = "2" ).

fof(isClosed0,fi_predicates,
    ( ( isClosed0("1")
    <=> $false )
    & ( isClosed0("2")
    <=> $false ) ) ).

fof(isFinite0,fi_predicates,
    ! [X1] :
      ( isFinite0(X1)
    <=> $false ) ).

fof(isOpen0,fi_predicates,
    ( ( isOpen0("1")
    <=> $true )
    & ( isOpen0("2")
    <=> $true ) ) ).

fof(isPrime0,fi_predicates,
    ( ( isPrime0("1")
    <=> $false )
    & ( isPrime0("2")
    <=> $false ) ) ).

fof(sK25_mDivisor_W2,fi_functors,
    ( sK25_mDivisor_W2("1","1") = "1"
    & sK25_mDivisor_W2("1","2") = "1"
    & sK25_mDivisor_W2("2","1") = "1"
    & sK25_mDivisor_W2("2","2") = "1" ) ).

fof(sK45_mPrimeDivisor_W1,fi_functors,
    ( sK45_mPrimeDivisor_W1("1") = "1"
    & sK45_mPrimeDivisor_W1("2") = "1" ) ).

fof(sK48_mSubset_W2,fi_functors,
    ( sK48_mSubset_W2("1","1") = "1"
    & sK48_mSubset_W2("1","2") = "1"
    & sK48_mSubset_W2("2","1") = "1"
    & sK48_mSubset_W2("2","2") = "1" ) ).

fof(sK53_mUnion_W3,fi_functors,
    ( sK53_mUnion_W3("1","1","1") = "1"
    & sK53_mUnion_W3("1","1","2") = "1"
    & sK53_mUnion_W3("1","2","1") = "1"
    & sK53_mUnion_W3("1","2","2") = "1"
    & sK53_mUnion_W3("2","1","1") = "1"
    & sK53_mUnion_W3("2","1","2") = "1"
    & sK53_mUnion_W3("2","2","1") = "1"
    & sK53_mUnion_W3("2","2","2") = "1" ) ).

fof(sK59_mIntersection_W3,fi_functors,
    ( sK59_mIntersection_W3("1","1","1") = "1"
    & sK59_mIntersection_W3("1","1","2") = "1"
    & sK59_mIntersection_W3("1","2","1") = "1"
    & sK59_mIntersection_W3("1","2","2") = "1"
    & sK59_mIntersection_W3("2","1","1") = "1"
    & sK59_mIntersection_W3("2","1","2") = "1"
    & sK59_mIntersection_W3("2","2","1") = "1"
    & sK59_mIntersection_W3("2","2","2") = "1" ) ).

fof(sK65_mUnionSet_W2,fi_functors,
    ( sK65_mUnionSet_W2("1","1") = "1"
    & sK65_mUnionSet_W2("1","2") = "1"
    & sK65_mUnionSet_W2("2","1") = "1"
    & sK65_mUnionSet_W2("2","2") = "1" ) ).

fof(sK66_mUnionSet_W3,fi_functors,
    ( sK66_mUnionSet_W3("1","1") = "1"
    & sK66_mUnionSet_W3("1","2") = "1"
    & sK66_mUnionSet_W3("2","1") = "1"
    & sK66_mUnionSet_W3("2","2") = "1" ) ).

fof(sK67_mUnionSet_W1,fi_functors,
    ( sK67_mUnionSet_W1("1") = "1"
    & sK67_mUnionSet_W1("2") = "1" ) ).

fof(sK73_mComplement_W2,fi_functors,
    ( sK73_mComplement_W2("1","1") = "1"
    & sK73_mComplement_W2("1","2") = "1"
    & sK73_mComplement_W2("2","1") = "1"
    & sK73_mComplement_W2("2","2") = "1" ) ).

fof(sK78_mArSeq_W3,fi_functors,
    ( sK78_mArSeq_W3("1","1","1") = "1"
    & sK78_mArSeq_W3("1","1","2") = "1"
    & sK78_mArSeq_W3("1","2","1") = "1"
    & sK78_mArSeq_W3("1","2","2") = "1"
    & sK78_mArSeq_W3("2","1","1") = "1"
    & sK78_mArSeq_W3("2","1","2") = "1"
    & sK78_mArSeq_W3("2","2","1") = "1"
    & sK78_mArSeq_W3("2","2","2") = "1" ) ).

fof(sK83_mOpen_W2,fi_functors,
    ( sK83_mOpen_W2("1","1") = "1"
    & sK83_mOpen_W2("1","2") = "1"
    & sK83_mOpen_W2("2","1") = "1"
    & sK83_mOpen_W2("2","2") = "1" ) ).

fof(sK84_mOpen_W1,fi_functors,
    ( sK84_mOpen_W1("1") = "1"
    & sK84_mOpen_W1("2") = "1" ) ).

fof(sK89_mUnionOpen_W1,fi_functors,
    ( sK89_mUnionOpen_W1("1") = "1"
    & sK89_mUnionOpen_W1("2") = "1" ) ).

fof(sK99_m___W1,fi_functors,
    ( sK99_m___W1("1") = "1"
    & sK99_m___W1("2") = "1" ) ).

fof(sP52_mUnion_equiv,fi_predicates,
    ( ( sP52_mUnion_equiv("1","1","1")
    <=> $false )
    & ( sP52_mUnion_equiv("1","1","2")
    <=> $false )
    & ( sP52_mUnion_equiv("1","2","1")
    <=> $false )
    & ( sP52_mUnion_equiv("1","2","2")
    <=> $false )
    & ( sP52_mUnion_equiv("2","1","1")
    <=> $false )
    & ( sP52_mUnion_equiv("2","1","2")
    <=> $false )
    & ( sP52_mUnion_equiv("2","2","1")
    <=> $false )
    & ( sP52_mUnion_equiv("2","2","2")
    <=> $false ) ) ).

fof(sP58_mIntersection_equiv,fi_predicates,
    ( ( sP58_mIntersection_equiv("1","1","1")
    <=> $false )
    & ( sP58_mIntersection_equiv("1","1","2")
    <=> $false )
    & ( sP58_mIntersection_equiv("1","2","1")
    <=> $false )
    & ( sP58_mIntersection_equiv("1","2","2")
    <=> $false )
    & ( sP58_mIntersection_equiv("2","1","1")
    <=> $false )
    & ( sP58_mIntersection_equiv("2","1","2")
    <=> $false )
    & ( sP58_mIntersection_equiv("2","2","1")
    <=> $false )
    & ( sP58_mIntersection_equiv("2","2","2")
    <=> $false ) ) ).

fof(sP64_mUnionSet_equiv,fi_predicates,
    ( ( sP64_mUnionSet_equiv("1","1")
    <=> $false )
    & ( sP64_mUnionSet_equiv("1","2")
    <=> $false )
    & ( sP64_mUnionSet_equiv("2","1")
    <=> $false )
    & ( sP64_mUnionSet_equiv("2","2")
    <=> $false ) ) ).

fof(sP72_mComplement_equiv,fi_predicates,
    ( ( sP72_mComplement_equiv("1","1")
    <=> $true )
    & ( sP72_mComplement_equiv("1","2")
    <=> $false )
    & ( sP72_mComplement_equiv("2","1")
    <=> $true )
    & ( sP72_mComplement_equiv("2","2")
    <=> $false ) ) ).

fof(sP77_mArSeq_equiv,fi_predicates,
    ( ( sP77_mArSeq_equiv("1","1","1")
    <=> $false )
    & ( sP77_mArSeq_equiv("1","1","2")
    <=> $false )
    & ( sP77_mArSeq_equiv("1","2","1")
    <=> $false )
    & ( sP77_mArSeq_equiv("1","2","2")
    <=> $false )
    & ( sP77_mArSeq_equiv("2","1","1")
    <=> $false )
    & ( sP77_mArSeq_equiv("2","1","2")
    <=> $false )
    & ( sP77_mArSeq_equiv("2","2","1")
    <=> $false )
    & ( sP77_mArSeq_equiv("2","2","2")
    <=> $false ) ) ).

fof(sbsmnsldt0,fi_functors,
    ( sbsmnsldt0("1") = "1"
    & sbsmnsldt0("2") = "1" ) ).

fof(sdtasdt0,fi_functors,
    ( sdtasdt0("1","1") = "1"
    & sdtasdt0("1","2") = "1"
    & sdtasdt0("2","1") = "1"
    & sdtasdt0("2","2") = "2" ) ).

fof(sdtbsmnsldt0,fi_functors,
    ( sdtbsmnsldt0("1","1") = "1"
    & sdtbsmnsldt0("1","2") = "1"
    & sdtbsmnsldt0("2","1") = "1"
    & sdtbsmnsldt0("2","2") = "1" ) ).

fof(sdteqdtlpzmzozddtrp0,fi_predicates,
    ( ( sdteqdtlpzmzozddtrp0("1","1","1")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("1","1","2")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("1","2","1")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("1","2","2")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("2","1","1")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("2","1","2")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("2","2","1")
    <=> $false )
    & ( sdteqdtlpzmzozddtrp0("2","2","2")
    <=> $false ) ) ).

fof(sdtpldt0,fi_functors,
    ( sdtpldt0("1","1") = "1"
    & sdtpldt0("1","2") = "1"
    & sdtpldt0("2","1") = "1"
    & sdtpldt0("2","2") = "2" ) ).

fof(sdtslmnbsdt0,fi_functors,
    ( sdtslmnbsdt0("1","1") = "1"
    & sdtslmnbsdt0("1","2") = "1"
    & sdtslmnbsdt0("2","1") = "1"
    & sdtslmnbsdt0("2","2") = "1" ) ).

fof(smndt0,fi_functors,
    ( smndt0("1") = "1"
    & smndt0("2") = "2" ) ).

fof(stldt0,fi_functors,
    ( stldt0("1") = "1"
    & stldt0("2") = "2" ) ).

fof(sz00,fi_functors,
    sz00 = "1" ).

fof(sz10,fi_functors,
    sz10 = "1" ).

fof(szAzrzSzezqlpdtcmdtrp0,fi_functors,
    ( szAzrzSzezqlpdtcmdtrp0("1","1") = "1"
    & szAzrzSzezqlpdtcmdtrp0("1","2") = "1"
    & szAzrzSzezqlpdtcmdtrp0("2","1") = "1"
    & szAzrzSzezqlpdtcmdtrp0("2","2") = "1" ) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM448+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n029.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 : Tue Jul  5 04:39:57 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
% 0.13/0.37  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43  +++ BEGIN MODEL
% 0.19/0.43  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44  +++ END MODEL
% 0.19/0.44  +++ RESULT: CounterSatisfiable
% 0.19/0.44  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------