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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS019+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 : n014.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 01:00:06 PM UTC 2026

% Result   : Satisfiable 0.12s 0.40s
% Output   : Saturation 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( cA(X)
    <=> ? [Y] :
          ( cowlThing(Y)
          & rq(X,Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] :
      ( cNothing(X)
     => ~ ? [Y] : rp(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] :
      ( cNothing(X)
     => ? [Y0] : rp(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( cnotA(X)
    <=> ! [Y] :
          ( rq(X,Y)
         => cNothing(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f8,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f9,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f10,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(NNF_transformation,[status(thm)],[f2]) ).

fof(f11,plain,
    ( ! [X] :
        ( xsd_integer(X)
        | xsd_string(X) )
    & ! [X] :
        ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f13,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f14,plain,
    ! [X] :
      ( ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rq(X,Y) )
        | cA(X) )
      & ( ? [Y] :
            ( cowlThing(Y)
            & rq(X,Y) )
        | ~ cA(X) ) ),
    inference(NNF_transformation,[status(thm)],[f3]) ).

fof(f15,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rq(X,Y) )
        | cA(X) )
    & ! [X] :
        ( ? [Y] :
            ( cowlThing(Y)
            & rq(X,Y) )
        | ~ cA(X) ) ),
    inference(miniscoping,[status(thm)],[f14]) ).

fof(f16,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rq(X,Y) )
        | cA(X) )
    & ! [X] :
        ( ( cowlThing(sK0_skl(X))
          & rq(X,sK0_skl(X)) )
        | ~ cA(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f15]) ).

fof(f17,plain,
    ! [X0] :
      ( rq(X0,sK0_skl(X0))
      | ~ cA(X0) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ cowlThing(X1)
      | ~ rq(X0,X1)
      | cA(X0) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f20,plain,
    ! [X] :
      ( ! [Y] : ~ rp(X,Y)
      | ~ cNothing(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ rp(X0,X1)
      | ~ cNothing(X0) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f22,plain,
    ! [X] :
      ( ? [Y0] : rp(X,Y0)
      | ~ cNothing(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f23,plain,
    ! [X] :
      ( rp(X,sK1_skl(X))
      | ~ cNothing(X) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f22]) ).

fof(f24,plain,
    ! [X0] :
      ( rp(X0,sK1_skl(X0))
      | ~ cNothing(X0) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f25,plain,
    ! [X] :
      ( cnotA(X)
    <=> ! [Y] :
          ( cNothing(Y)
          | ~ rq(X,Y) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f26,plain,
    ! [X] :
      ( ( ? [Y] :
            ( ~ cNothing(Y)
            & rq(X,Y) )
        | cnotA(X) )
      & ( ! [Y] :
            ( cNothing(Y)
            | ~ rq(X,Y) )
        | ~ cnotA(X) ) ),
    inference(NNF_transformation,[status(thm)],[f25]) ).

fof(f27,plain,
    ( ! [X] :
        ( ? [Y] :
            ( ~ cNothing(Y)
            & rq(X,Y) )
        | cnotA(X) )
    & ! [X] :
        ( ! [Y] :
            ( cNothing(Y)
            | ~ rq(X,Y) )
        | ~ cnotA(X) ) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f28,plain,
    ( ! [X] :
        ( ( ~ cNothing(sK2_skl(X))
          & rq(X,sK2_skl(X)) )
        | cnotA(X) )
    & ! [X] :
        ( ! [Y] :
            ( cNothing(Y)
            | ~ rq(X,Y) )
        | ~ cnotA(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( cNothing(X1)
      | ~ rq(X0,X1)
      | ~ cnotA(X0) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f30,plain,
    ! [X0] :
      ( rq(X0,sK2_skl(X0))
      | cnotA(X0) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f33,plain,
    ! [X0] : ~ cNothing(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f24,f21]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ rq(X0,X1)
      | cA(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19,f8]) ).

fof(f35,plain,
    ! [X0] :
      ( cnotA(X0)
      | cA(X0) ),
    inference(resolution,[status(thm)],[f34,f30]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ rq(X0,X1)
      | ~ cnotA(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f29,f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS019+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
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 20 22:50:34 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.39  % Drodi V4.1.1
% 0.12/0.40  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.40  % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.024703 seconds
% 0.12/0.41  % CPU time: 0.067287 seconds
% 0.12/0.41  % Total memory used: 1.085 MB
% 0.12/0.41  % Net memory used: 1.061 MB
%------------------------------------------------------------------------------