TSTP Solution File: RNG071+2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG071+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Fri May  3 02:57:30 EDT 2024

% Result   : Theorem 3.54s 1.13s
% Output   : CNFRefutation 3.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X0) )
       => ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
          & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

fof(f27,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

fof(f37,axiom,
    ! [X0] :
      ( aVector0(X0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).

fof(f42,axiom,
    ( xp = sziznziztdt0(xs)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
    & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
    & aVector0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

fof(f43,axiom,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
    & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    & aVector0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).

fof(f44,axiom,
    ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
    & aScalar0(xA) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).

fof(f45,axiom,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

fof(f47,axiom,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

fof(f49,axiom,
    ( xF = sdtasdt0(xA,xA)
    & aScalar0(xF) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f53,axiom,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f61,axiom,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).

fof(f62,conjecture,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    & sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f63,negated_conjecture,
    ~ ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
      & sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(negated_conjecture,[],[f62]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f80,plain,
    ! [X0] :
      ( ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 )
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f92]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f102]) ).

fof(f104,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f120,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f123,plain,
    ( xp = sziznziztdt0(xs)
    & ! [X0] :
        ( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
        | ~ aNaturalNumber0(X0) )
    & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
    & aVector0(xp) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f124,plain,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
        | ~ aNaturalNumber0(X0) )
    & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    & aVector0(xq) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f125,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f140,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f147,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(sz0z00,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f170,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f183,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f189,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f123]) ).

fof(f193,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f124]) ).

fof(f197,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f44]) ).

fof(f199,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f201,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f202,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f203,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f204,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f207,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f49]) ).

fof(f208,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

fof(f209,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f210,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f213,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f214,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f215,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f217,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f218,plain,
    xS = sdtasdt0(xF,xD),
    inference(cnf_transformation,[],[f54]) ).

fof(f226,plain,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f61]) ).

fof(f227,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_56,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_57,plain,
    ( ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | aScalar0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_64,plain,
    ( ~ aScalar0(X0)
    | sdtasdt0(sz0z00,X0) = sz0z00 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_79,plain,
    ( ~ sdtlseqdt0(X0,X1)
    | ~ sdtlseqdt0(X1,X0)
    | ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_80,plain,
    ( ~ sdtlseqdt0(X0,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | sdtlseqdt0(X0,X2) ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_83,plain,
    ( ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | sdtlseqdt0(X0,X1)
    | sdtlseqdt0(X1,X0) ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_84,plain,
    ( ~ sdtlseqdt0(sz0z00,X0)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_85,plain,
    ( ~ sdtlseqdt0(sz0z00,X0)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_86,plain,
    ( ~ aScalar0(X0)
    | sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_99,plain,
    ( ~ aVector0(X0)
    | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_108,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_112,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_114,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_116,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_117,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(cnf_transformation,[],[f202]) ).

cnf(c_118,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_119,plain,
    sdtasasdt0(xq,xq) = xD,
    inference(cnf_transformation,[],[f204]) ).

cnf(c_120,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_123,plain,
    sdtasdt0(xA,xA) = xF,
    inference(cnf_transformation,[],[f208]) ).

cnf(c_124,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_125,plain,
    sdtasdt0(xB,xB) = xG,
    inference(cnf_transformation,[],[f210]) ).

cnf(c_126,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_129,plain,
    sdtasdt0(xC,xG) = xR,
    inference(cnf_transformation,[],[f214]) ).

cnf(c_130,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_132,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_133,plain,
    sdtasdt0(xF,xD) = xS,
    inference(cnf_transformation,[],[f218]) ).

cnf(c_134,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_142,plain,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_143,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_1898,plain,
    sdtpldt0(xR,xS) = sP3_iProver_def,
    definition ).

cnf(c_1899,plain,
    sdtpldt0(xP,xP) = sP4_iProver_def,
    definition ).

cnf(c_1900,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sP3_iProver_def)
    | ~ sdtlseqdt0(sz0z00,sP4_iProver_def) ),
    inference(demodulation,[status(thm)],[c_143,c_1899,c_1898]) ).

cnf(c_3025,plain,
    sdtlseqdt0(sP3_iProver_def,sP4_iProver_def),
    inference(light_normalisation,[status(thm)],[c_142,c_1898,c_1899]) ).

cnf(c_3031,plain,
    ( ~ aScalar0(xA)
    | sdtlseqdt0(sz0z00,xF) ),
    inference(superposition,[status(thm)],[c_123,c_86]) ).

cnf(c_3032,plain,
    ( ~ aScalar0(xB)
    | sdtlseqdt0(sz0z00,xG) ),
    inference(superposition,[status(thm)],[c_125,c_86]) ).

cnf(c_3033,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(forward_subsumption_resolution,[status(thm)],[c_3032,c_116]) ).

cnf(c_3034,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(forward_subsumption_resolution,[status(thm)],[c_3031,c_114]) ).

cnf(c_3039,plain,
    ( ~ aVector0(xp)
    | sdtlseqdt0(sz0z00,xC) ),
    inference(superposition,[status(thm)],[c_117,c_99]) ).

cnf(c_3040,plain,
    ( ~ aVector0(xq)
    | sdtlseqdt0(sz0z00,xD) ),
    inference(superposition,[status(thm)],[c_119,c_99]) ).

cnf(c_3041,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(forward_subsumption_resolution,[status(thm)],[c_3040,c_112]) ).

cnf(c_3042,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(forward_subsumption_resolution,[status(thm)],[c_3039,c_108]) ).

cnf(c_3095,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_56,c_64]) ).

cnf(c_3166,plain,
    ( ~ aScalar0(sz0z00)
    | sdtlseqdt0(sz0z00,sz0z00) ),
    inference(superposition,[status(thm)],[c_3095,c_86]) ).

cnf(c_3167,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(forward_subsumption_resolution,[status(thm)],[c_3166,c_56]) ).

cnf(c_3207,plain,
    ( ~ aScalar0(xP)
    | aScalar0(sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_1899,c_57]) ).

cnf(c_3208,plain,
    ( ~ aScalar0(xR)
    | ~ aScalar0(xS)
    | aScalar0(sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_1898,c_57]) ).

cnf(c_3214,plain,
    aScalar0(sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_3207,c_132]) ).

cnf(c_3215,plain,
    aScalar0(sP3_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_3208,c_134,c_130]) ).

cnf(c_3537,plain,
    ( ~ sdtlseqdt0(sz0z00,sP4_iProver_def)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sP3_iProver_def)
    | sdtlseqdt0(sP3_iProver_def,sz0z00) ),
    inference(superposition,[status(thm)],[c_83,c_1900]) ).

cnf(c_3541,plain,
    ( ~ sdtlseqdt0(sz0z00,sP4_iProver_def)
    | sdtlseqdt0(sP3_iProver_def,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3537,c_3215,c_56]) ).

cnf(c_3563,plain,
    ( ~ aScalar0(sz0z00)
    | ~ aScalar0(sP4_iProver_def)
    | sdtlseqdt0(sP3_iProver_def,sz0z00)
    | sdtlseqdt0(sP4_iProver_def,sz0z00) ),
    inference(superposition,[status(thm)],[c_83,c_3541]) ).

cnf(c_3565,plain,
    ( sdtlseqdt0(sP3_iProver_def,sz0z00)
    | sdtlseqdt0(sP4_iProver_def,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3563,c_3214,c_56]) ).

cnf(c_4107,plain,
    ( ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xC)
    | ~ aScalar0(xG)
    | sdtlseqdt0(sz0z00,xR) ),
    inference(superposition,[status(thm)],[c_129,c_84]) ).

cnf(c_4109,plain,
    ( ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xF)
    | sdtlseqdt0(sz0z00,xS) ),
    inference(superposition,[status(thm)],[c_133,c_84]) ).

cnf(c_4145,plain,
    sdtlseqdt0(sz0z00,xS),
    inference(forward_subsumption_resolution,[status(thm)],[c_4109,c_124,c_120,c_3034,c_3041]) ).

cnf(c_4153,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(forward_subsumption_resolution,[status(thm)],[c_4107,c_126,c_118,c_3033,c_3042]) ).

cnf(c_4190,plain,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ aScalar0(xR)
    | ~ aScalar0(xS)
    | sdtlseqdt0(sz0z00,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_1898,c_85]) ).

cnf(c_4225,plain,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | sdtlseqdt0(sz0z00,sP3_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4190,c_134,c_130]) ).

cnf(c_4260,plain,
    ( ~ sdtlseqdt0(sP4_iProver_def,X0)
    | ~ aScalar0(X0)
    | ~ aScalar0(sP3_iProver_def)
    | ~ aScalar0(sP4_iProver_def)
    | sdtlseqdt0(sP3_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_3025,c_80]) ).

cnf(c_4265,plain,
    ( ~ sdtlseqdt0(sz0z00,X0)
    | ~ aScalar0(X0)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sP4_iProver_def)
    | sdtlseqdt0(sP4_iProver_def,X0)
    | sdtlseqdt0(sP3_iProver_def,sz0z00) ),
    inference(superposition,[status(thm)],[c_3565,c_80]) ).

cnf(c_4283,plain,
    ( ~ sdtlseqdt0(sP4_iProver_def,X0)
    | ~ aScalar0(X0)
    | sdtlseqdt0(sP3_iProver_def,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4260,c_3214,c_3215]) ).

cnf(c_4287,plain,
    ( ~ sdtlseqdt0(sz0z00,X0)
    | ~ aScalar0(X0)
    | sdtlseqdt0(sP4_iProver_def,X0)
    | sdtlseqdt0(sP3_iProver_def,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4265,c_3214,c_56]) ).

cnf(c_4348,plain,
    ( ~ sdtlseqdt0(sP4_iProver_def,sz0z00)
    | ~ aScalar0(sz0z00)
    | sdtlseqdt0(sP3_iProver_def,sz0z00) ),
    inference(instantiation,[status(thm)],[c_4283]) ).

cnf(c_4448,plain,
    sdtlseqdt0(sP3_iProver_def,sz0z00),
    inference(global_subsumption_just,[status(thm)],[c_4287,c_56,c_3565,c_4348]) ).

cnf(c_4450,plain,
    ( ~ sdtlseqdt0(sz0z00,sP3_iProver_def)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sP3_iProver_def)
    | sz0z00 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_4448,c_79]) ).

cnf(c_4452,plain,
    ( ~ sdtlseqdt0(sz0z00,sP3_iProver_def)
    | sz0z00 = sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4450,c_3215,c_56]) ).

cnf(c_4459,plain,
    sz0z00 = sP3_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_4452,c_4153,c_4145,c_4225,c_4452]) ).

cnf(c_4527,plain,
    sdtlseqdt0(sP3_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_3167,c_4459]) ).

cnf(c_4541,plain,
    ( ~ sdtlseqdt0(sP3_iProver_def,sP3_iProver_def)
    | ~ sdtlseqdt0(sP3_iProver_def,sP4_iProver_def) ),
    inference(demodulation,[status(thm)],[c_1900,c_4459]) ).

cnf(c_4542,plain,
    ~ sdtlseqdt0(sP3_iProver_def,sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_4541,c_4527]) ).

cnf(c_4543,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4542,c_3025]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG071+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:17:36 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.54/1.13  % SZS status Started for theBenchmark.p
% 3.54/1.13  % SZS status Theorem for theBenchmark.p
% 3.54/1.13  
% 3.54/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.54/1.13  
% 3.54/1.13  ------  iProver source info
% 3.54/1.13  
% 3.54/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.54/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.54/1.13  git: non_committed_changes: false
% 3.54/1.13  
% 3.54/1.13  ------ Parsing...
% 3.54/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.54/1.13  ------ Proving...
% 3.54/1.13  ------ Problem Properties 
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  clauses                                 99
% 3.54/1.13  conjectures                             1
% 3.54/1.13  EPR                                     26
% 3.54/1.13  Horn                                    87
% 3.54/1.13  unary                                   45
% 3.54/1.13  binary                                  20
% 3.54/1.13  lits                                    234
% 3.54/1.13  lits eq                                 73
% 3.54/1.13  fd_pure                                 0
% 3.54/1.13  fd_pseudo                               0
% 3.54/1.13  fd_cond                                 1
% 3.54/1.13  fd_pseudo_cond                          5
% 3.54/1.13  AC symbols                              0
% 3.54/1.13  
% 3.54/1.13  ------ Schedule dynamic 5 is on 
% 3.54/1.13  
% 3.54/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ 
% 3.54/1.13  Current options:
% 3.54/1.13  ------ 
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ Proving...
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  % SZS status Theorem for theBenchmark.p
% 3.54/1.13  
% 3.54/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.13  
% 3.54/1.13  
%------------------------------------------------------------------------------