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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS028+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 : n013.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 0.13s 0.38s
% Output   : Saturation 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [X] :
      ( cSatisfiable(X)
    <=> ( ~ ? [Y] :
              ( cc2(Y)
              & cc1(Y)
              & rrx3a(X,Y) )
        & ? [Y] :
            ( cc1(Y)
            & rrx3a(X,Y) )
        & ? [Y] :
            ( cc2(Y)
            & rrx4a(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [X,Y,Z] :
      ( ( rrx(X,Z)
        & rrx(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ! [X,Y,Z] :
      ( ( rrx3(X,Z)
        & rrx3(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [X,Y,Z] :
      ( ( rrx3a(X,Z)
        & rrx3a(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [X,Y,Z] :
      ( ( rrx4(X,Z)
        & rrx4(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [X,Y,Z] :
      ( ( rrx4a(X,Z)
        & rrx4a(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    cSatisfiable(i2003_11_14_17_15_19316),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [X,Y] :
      ( rrx3a(X,Y)
     => rrxa(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [X,Y] :
      ( rrx3(X,Y)
     => rrx1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [X,Y] :
      ( rrx4a(X,Y)
     => rrxa(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [X,Y] :
      ( rrx3(X,Y)
     => rrx(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [X,Y] :
      ( rrx4(X,Y)
     => rrx2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    ! [X,Y] :
      ( rrx4a(X,Y)
     => rrx2a(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [X,Y] :
      ( rrx4(X,Y)
     => rrx(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [X,Y] :
      ( rrx3a(X,Y)
     => rrx1a(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f126,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f28]) ).

fof(f127,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f126]) ).

fof(f128,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f126]) ).

fof(f129,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(NNF_transformation,[status(thm)],[f29]) ).

fof(f130,plain,
    ( ! [X] :
        ( xsd_integer(X)
        | xsd_string(X) )
    & ! [X] :
        ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(miniscoping,[status(thm)],[f129]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f130]) ).

fof(f132,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f130]) ).

fof(f133,plain,
    ! [X] :
      ( cSatisfiable(X)
    <=> ( ! [Y] :
            ( ~ cc2(Y)
            | ~ cc1(Y)
            | ~ rrx3a(X,Y) )
        & ? [Y] :
            ( cc1(Y)
            & rrx3a(X,Y) )
        & ? [Y] :
            ( cc2(Y)
            & rrx4a(X,Y) ) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f30]) ).

fof(f134,plain,
    ! [X] :
      ( ( ? [Y] :
            ( cc2(Y)
            & cc1(Y)
            & rrx3a(X,Y) )
        | ! [Y] :
            ( ~ cc1(Y)
            | ~ rrx3a(X,Y) )
        | ! [Y] :
            ( ~ cc2(Y)
            | ~ rrx4a(X,Y) )
        | cSatisfiable(X) )
      & ( ( ! [Y] :
              ( ~ cc2(Y)
              | ~ cc1(Y)
              | ~ rrx3a(X,Y) )
          & ? [Y] :
              ( cc1(Y)
              & rrx3a(X,Y) )
          & ? [Y] :
              ( cc2(Y)
              & rrx4a(X,Y) ) )
        | ~ cSatisfiable(X) ) ),
    inference(NNF_transformation,[status(thm)],[f133]) ).

fof(f135,plain,
    ( ! [X] :
        ( ? [Y] :
            ( cc2(Y)
            & cc1(Y)
            & rrx3a(X,Y) )
        | ! [Y] :
            ( ~ cc1(Y)
            | ~ rrx3a(X,Y) )
        | ! [Y] :
            ( ~ cc2(Y)
            | ~ rrx4a(X,Y) )
        | cSatisfiable(X) )
    & ! [X] :
        ( ( ! [Y] :
              ( ~ cc2(Y)
              | ~ cc1(Y)
              | ~ rrx3a(X,Y) )
          & ? [Y] :
              ( cc1(Y)
              & rrx3a(X,Y) )
          & ? [Y] :
              ( cc2(Y)
              & rrx4a(X,Y) ) )
        | ~ cSatisfiable(X) ) ),
    inference(miniscoping,[status(thm)],[f134]) ).

fof(f136,plain,
    ( ! [X] :
        ( ( cc2(sK2_skl(X))
          & cc1(sK2_skl(X))
          & rrx3a(X,sK2_skl(X)) )
        | ! [Y] :
            ( ~ cc1(Y)
            | ~ rrx3a(X,Y) )
        | ! [Y] :
            ( ~ cc2(Y)
            | ~ rrx4a(X,Y) )
        | cSatisfiable(X) )
    & ! [X] :
        ( ( ! [Y] :
              ( ~ cc2(Y)
              | ~ cc1(Y)
              | ~ rrx3a(X,Y) )
          & cc1(sK1_skl(X))
          & rrx3a(X,sK1_skl(X))
          & cc2(sK0_skl(X))
          & rrx4a(X,sK0_skl(X)) )
        | ~ cSatisfiable(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f135]) ).

fof(f137,plain,
    ! [X0] :
      ( rrx4a(X0,sK0_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f138,plain,
    ! [X0] :
      ( cc2(sK0_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f139,plain,
    ! [X0] :
      ( rrx3a(X0,sK1_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f140,plain,
    ! [X0] :
      ( cc1(sK1_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ cc2(X1)
      | ~ cc1(X1)
      | ~ rrx3a(X0,X1)
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( rrx3a(X0,sK2_skl(X0))
      | ~ cc1(X2)
      | ~ rrx3a(X0,X2)
      | ~ cc2(X1)
      | ~ rrx4a(X0,X1)
      | cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( cc1(sK2_skl(X0))
      | ~ cc1(X2)
      | ~ rrx3a(X0,X2)
      | ~ cc2(X1)
      | ~ rrx4a(X0,X1)
      | cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( cc2(sK2_skl(X0))
      | ~ cc1(X2)
      | ~ rrx3a(X0,X2)
      | ~ cc2(X1)
      | ~ rrx4a(X0,X1)
      | cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f145,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rrx(X,Z)
      | ~ rrx(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f31]) ).

fof(f146,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rrx(X,Z)
          | ~ rrx(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f145]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rrx(X0,X2)
      | ~ rrx(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f148,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rrx3(X,Z)
      | ~ rrx3(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f32]) ).

fof(f149,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rrx3(X,Z)
          | ~ rrx3(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f148]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rrx3(X0,X2)
      | ~ rrx3(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f149]) ).

fof(f151,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rrx3a(X,Z)
      | ~ rrx3a(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f33]) ).

fof(f152,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rrx3a(X,Z)
          | ~ rrx3a(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f151]) ).

fof(f153,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rrx3a(X0,X2)
      | ~ rrx3a(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f152]) ).

fof(f154,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rrx4(X,Z)
      | ~ rrx4(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f34]) ).

fof(f155,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rrx4(X,Z)
          | ~ rrx4(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f154]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rrx4(X0,X2)
      | ~ rrx4(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f157,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rrx4a(X,Z)
      | ~ rrx4a(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f35]) ).

fof(f158,plain,
    ! [Y,Z] :
      ( Y = Z
      | ! [X] :
          ( ~ rrx4a(X,Z)
          | ~ rrx4a(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f157]) ).

fof(f159,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rrx4a(X0,X2)
      | ~ rrx4a(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f158]) ).

fof(f160,plain,
    cSatisfiable(i2003_11_14_17_15_19316),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f161,plain,
    ! [X,Y] :
      ( rrxa(X,Y)
      | ~ rrx3a(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f37]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( rrxa(X0,X1)
      | ~ rrx3a(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f161]) ).

fof(f163,plain,
    ! [X,Y] :
      ( rrx1(X,Y)
      | ~ rrx3(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( rrx1(X0,X1)
      | ~ rrx3(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f163]) ).

fof(f165,plain,
    ! [X,Y] :
      ( rrxa(X,Y)
      | ~ rrx4a(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f39]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( rrxa(X0,X1)
      | ~ rrx4a(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f165]) ).

fof(f167,plain,
    ! [X,Y] :
      ( rrx(X,Y)
      | ~ rrx3(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( rrx(X0,X1)
      | ~ rrx3(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f167]) ).

fof(f169,plain,
    ! [X,Y] :
      ( rrx2(X,Y)
      | ~ rrx4(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f41]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( rrx2(X0,X1)
      | ~ rrx4(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f171,plain,
    ! [X,Y] :
      ( rrx2a(X,Y)
      | ~ rrx4a(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f42]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( rrx2a(X0,X1)
      | ~ rrx4a(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f171]) ).

fof(f173,plain,
    ! [X,Y] :
      ( rrx(X,Y)
      | ~ rrx4(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f43]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( rrx(X0,X1)
      | ~ rrx4(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f173]) ).

fof(f175,plain,
    ! [X,Y] :
      ( rrx1a(X,Y)
      | ~ rrx3a(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f44]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( rrx1a(X0,X1)
      | ~ rrx3a(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f175]) ).

fof(f178,plain,
    rrx4a(i2003_11_14_17_15_19316,sK0_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f137,f160]) ).

fof(f179,plain,
    cc2(sK0_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f138,f160]) ).

fof(f180,plain,
    rrx3a(i2003_11_14_17_15_19316,sK1_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f139,f160]) ).

fof(f181,plain,
    cc1(sK1_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f140,f160]) ).

fof(f182,plain,
    rrx2a(i2003_11_14_17_15_19316,sK0_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f178,f172]) ).

fof(f183,plain,
    ! [X0] :
      ( X0 = sK0_skl(i2003_11_14_17_15_19316)
      | ~ rrx4a(i2003_11_14_17_15_19316,X0) ),
    inference(resolution,[status(thm)],[f178,f159]) ).

fof(f184,plain,
    rrxa(i2003_11_14_17_15_19316,sK0_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f178,f166]) ).

fof(f188,plain,
    rrx1a(i2003_11_14_17_15_19316,sK1_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f180,f176]) ).

fof(f189,plain,
    ! [X0] :
      ( X0 = sK1_skl(i2003_11_14_17_15_19316)
      | ~ rrx3a(i2003_11_14_17_15_19316,X0) ),
    inference(resolution,[status(thm)],[f180,f153]) ).

fof(f190,plain,
    rrxa(i2003_11_14_17_15_19316,sK1_skl(i2003_11_14_17_15_19316)),
    inference(resolution,[status(thm)],[f180,f162]) ).

fof(f191,plain,
    ( ~ cc2(sK1_skl(i2003_11_14_17_15_19316))
    | ~ cc1(sK1_skl(i2003_11_14_17_15_19316))
    | ~ cSatisfiable(i2003_11_14_17_15_19316) ),
    inference(resolution,[status(thm)],[f180,f141]) ).

fof(f192,plain,
    ( ~ cc2(sK1_skl(i2003_11_14_17_15_19316))
    | ~ cc1(sK1_skl(i2003_11_14_17_15_19316)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f191,f160]) ).

fof(f195,plain,
    ~ cc2(sK1_skl(i2003_11_14_17_15_19316)),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f181]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS028+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 : n013.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
% 0.08/0.36  % DateTime : Sun Sep 20 22:50:36 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 0.13/0.38  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.38  % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.40  % Elapsed time: 0.038800 seconds
% 0.13/0.40  % CPU time: 0.090603 seconds
% 0.13/0.40  % Total memory used: 3.338 MB
% 0.13/0.40  % Net memory used: 3.194 MB
%------------------------------------------------------------------------------