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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LCL685+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n002.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 01:10:56 PM UTC 2026

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

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : r1(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] :
      ( ( r1(Y,Z)
        & r1(X,Y) )
     => r1(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ~ ? [X] :
        ~ ( ~ ( p101(X)
              & p201(X) )
          | ~ ! [Y] :
                ( ! [X] :
                    ( ~ ( ~ p101(X)
                        & p201(X) )
                    | ~ r1(Y,X) )
                | ~ r1(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ~ ( p101(X)
                & p201(X) )
            | ~ ! [Y] :
                  ( ! [X] :
                      ( ~ ( ~ p101(X)
                          & p201(X) )
                      | ~ r1(Y,X) )
                  | ~ r1(X,Y) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f6,plain,
    ! [X,Y,Z] :
      ( r1(X,Z)
      | ~ r1(Y,Z)
      | ~ r1(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f7,plain,
    ! [X,Z] :
      ( r1(X,Z)
      | ! [Y] :
          ( ~ r1(Y,Z)
          | ~ r1(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( r1(X0,X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f9,plain,
    ? [X] :
      ( p101(X)
      & p201(X)
      & ! [Y] :
          ( ! [X] :
              ( p101(X)
              | ~ p201(X)
              | ~ r1(Y,X) )
          | ~ r1(X,Y) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f10,plain,
    ( p101(sK0_skl)
    & p201(sK0_skl)
    & ! [Y] :
        ( ! [X] :
            ( p101(X)
            | ~ p201(X)
            | ~ r1(Y,X) )
        | ~ r1(sK0_skl,Y) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f9]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( p101(X1)
      | ~ p201(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f12,plain,
    p201(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f13,plain,
    p101(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f14,plain,
    ! [X0] :
      ( p101(X0)
      | ~ p201(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(resolution,[status(thm)],[f5,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL685+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n002.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 01:00:02 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V4.1.1
% 0.12/0.38  % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.12/0.38  % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.40  % Elapsed time: 0.042619 seconds
% 0.12/0.40  % CPU time: 0.126733 seconds
% 0.12/0.40  % Total memory used: 46.654 MB
% 0.12/0.40  % Net memory used: 46.174 MB
%------------------------------------------------------------------------------