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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS030+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:00:07 PM UTC 2026

% Result   : Satisfiable 0.12s 0.38s
% Output   : Saturation 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [X] :
      ( cSatisfiable(X)
    <=> ( ? [Y] :
            ( cp(Y)
            & rf(X,Y) )
        & ? [Y] :
            ( ~ cp(Y)
            & rf1(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [X,Y,Z] :
      ( ( rf(X,Z)
        & rf(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X,Y,Z] :
      ( ( rf1(X,Z)
        & rf1(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [X,Y] :
      ( rinvF(X,Y)
    <=> rf(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [X,Y] :
      ( rinvF1(X,Y)
    <=> rf1(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X,Y] :
      ( rinvS(X,Y)
    <=> rs(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [X,Y,Z] :
      ( ( rs(X,Z)
        & rs(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    cSatisfiable(i2003_11_14_17_15_26245),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X,Y] :
      ( rs(X,Y)
     => rf(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [X,Y] :
      ( rs(X,Y)
     => rf1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f19]) ).

fof(f86,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f87,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f88,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(NNF_transformation,[status(thm)],[f20]) ).

fof(f89,plain,
    ( ! [X] :
        ( xsd_integer(X)
        | xsd_string(X) )
    & ! [X] :
        ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(miniscoping,[status(thm)],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f91,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f92,plain,
    ! [X] :
      ( ( ! [Y] :
            ( ~ cp(Y)
            | ~ rf(X,Y) )
        | ! [Y] :
            ( cp(Y)
            | ~ rf1(X,Y) )
        | cSatisfiable(X) )
      & ( ( ? [Y] :
              ( cp(Y)
              & rf(X,Y) )
          & ? [Y] :
              ( ~ cp(Y)
              & rf1(X,Y) ) )
        | ~ cSatisfiable(X) ) ),
    inference(NNF_transformation,[status(thm)],[f21]) ).

fof(f93,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ cp(Y)
            | ~ rf(X,Y) )
        | ! [Y] :
            ( cp(Y)
            | ~ rf1(X,Y) )
        | cSatisfiable(X) )
    & ! [X] :
        ( ( ? [Y] :
              ( cp(Y)
              & rf(X,Y) )
          & ? [Y] :
              ( ~ cp(Y)
              & rf1(X,Y) ) )
        | ~ cSatisfiable(X) ) ),
    inference(miniscoping,[status(thm)],[f92]) ).

fof(f94,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ cp(Y)
            | ~ rf(X,Y) )
        | ! [Y] :
            ( cp(Y)
            | ~ rf1(X,Y) )
        | cSatisfiable(X) )
    & ! [X] :
        ( ( cp(sK1_skl(X))
          & rf(X,sK1_skl(X))
          & ~ cp(sK0_skl(X))
          & rf1(X,sK0_skl(X)) )
        | ~ cSatisfiable(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f93]) ).

fof(f95,plain,
    ! [X0] :
      ( rf1(X0,sK0_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ cp(sK0_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f97,plain,
    ! [X0] :
      ( rf(X0,sK1_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f98,plain,
    ! [X0] :
      ( cp(sK1_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ~ cp(X2)
      | ~ rf(X0,X2)
      | cp(X1)
      | ~ rf1(X0,X1)
      | cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f100,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rf(X,Z)
      | ~ rf(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f22]) ).

fof(f101,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rf(X,Z)
          | ~ rf(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f100]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f103,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rf1(X,Z)
      | ~ rf1(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f23]) ).

fof(f104,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rf1(X,Z)
          | ~ rf1(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f103]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf1(X0,X2)
      | ~ rf1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f106,plain,
    ! [X,Y] :
      ( ( ~ rf(Y,X)
        | rinvF(X,Y) )
      & ( rf(Y,X)
        | ~ rinvF(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f24]) ).

fof(f107,plain,
    ( ! [X,Y] :
        ( ~ rf(Y,X)
        | rinvF(X,Y) )
    & ! [X,Y] :
        ( rf(Y,X)
        | ~ rinvF(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f106]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ rf(X1,X0)
      | rinvF(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f110,plain,
    ! [X,Y] :
      ( ( ~ rf1(Y,X)
        | rinvF1(X,Y) )
      & ( rf1(Y,X)
        | ~ rinvF1(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f25]) ).

fof(f111,plain,
    ( ! [X,Y] :
        ( ~ rf1(Y,X)
        | rinvF1(X,Y) )
    & ! [X,Y] :
        ( rf1(Y,X)
        | ~ rinvF1(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f110]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( rf1(X1,X0)
      | ~ rinvF1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ rf1(X1,X0)
      | rinvF1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f114,plain,
    ! [X,Y] :
      ( ( ~ rs(Y,X)
        | rinvS(X,Y) )
      & ( rs(Y,X)
        | ~ rinvS(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f26]) ).

fof(f115,plain,
    ( ! [X,Y] :
        ( ~ rs(Y,X)
        | rinvS(X,Y) )
    & ! [X,Y] :
        ( rs(Y,X)
        | ~ rinvS(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f114]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( rs(X1,X0)
      | ~ rinvS(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f115]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ rs(X1,X0)
      | rinvS(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f115]) ).

fof(f118,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rs(X,Z)
      | ~ rs(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f27]) ).

fof(f119,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rs(X,Z)
          | ~ rs(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f118]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rs(X0,X2)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f119]) ).

fof(f121,plain,
    cSatisfiable(i2003_11_14_17_15_26245),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f122,plain,
    ! [X,Y] :
      ( rf(X,Y)
      | ~ rs(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f29]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f122]) ).

fof(f124,plain,
    ! [X,Y] :
      ( rf1(X,Y)
      | ~ rs(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f30]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( rf1(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f124]) ).

fof(f127,plain,
    rf1(i2003_11_14_17_15_26245,sK0_skl(i2003_11_14_17_15_26245)),
    inference(resolution,[status(thm)],[f95,f121]) ).

fof(f128,plain,
    cp(sK1_skl(i2003_11_14_17_15_26245)),
    inference(resolution,[status(thm)],[f98,f121]) ).

fof(f129,plain,
    rf(i2003_11_14_17_15_26245,sK1_skl(i2003_11_14_17_15_26245)),
    inference(resolution,[status(thm)],[f97,f121]) ).

fof(f130,plain,
    rinvF1(sK0_skl(i2003_11_14_17_15_26245),i2003_11_14_17_15_26245),
    inference(resolution,[status(thm)],[f127,f113]) ).

fof(f131,plain,
    rinvF(sK1_skl(i2003_11_14_17_15_26245),i2003_11_14_17_15_26245),
    inference(resolution,[status(thm)],[f129,f109]) ).

fof(f135,plain,
    ! [X0] :
      ( X0 = sK1_skl(i2003_11_14_17_15_26245)
      | ~ rf(i2003_11_14_17_15_26245,X0) ),
    inference(resolution,[status(thm)],[f102,f129]) ).

fof(f136,plain,
    ! [X0] :
      ( X0 = sK0_skl(i2003_11_14_17_15_26245)
      | ~ rf1(i2003_11_14_17_15_26245,X0) ),
    inference(resolution,[status(thm)],[f105,f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS030+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n001.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 20 22:56:43 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V4.1.1
% 0.12/0.38  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.38  % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.40  % Elapsed time: 0.038672 seconds
% 0.12/0.40  % CPU time: 0.079808 seconds
% 0.12/0.40  % Total memory used: 2.460 MB
% 0.12/0.40  % Net memory used: 2.356 MB
%------------------------------------------------------------------------------