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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC051-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -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 02:39:45 PM UTC 2026

% Result   : Unsatisfiable 0.08s 5.39s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   47 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   50 (  29   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f59,axiom,
    ! [U] :
      ( rearsegP(U,U)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f188,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    ! [A] :
      ( ~ rearsegP(sk1,A)
      | ~ rearsegP(sk2,A)
      | ~ neq(A,nil)
      | ~ ssList(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f255,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f429,plain,
    ssList(sk3),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f431,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(thm)],[f190]) ).

fof(f432,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f433,plain,
    neq(sk2,nil),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f434,plain,
    ! [X0] :
      ( ~ rearsegP(sk1,X0)
      | ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f436,plain,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f437,plain,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f469,plain,
    neq(sk4,nil),
    inference(forward_demodulation,[status(thm)],[f431,f433]) ).

fof(f470,plain,
    neq(sk3,nil),
    inference(forward_subsumption_resolution,[status(thm)],[f436,f469]) ).

fof(f471,plain,
    rearsegP(sk4,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[f437,f469]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ rearsegP(sk1,X0)
      | ~ rearsegP(sk4,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(forward_demodulation,[status(thm)],[f431,f434]) ).

fof(f473,plain,
    ! [X0] :
      ( ~ rearsegP(sk3,X0)
      | ~ rearsegP(sk4,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(forward_demodulation,[status(thm)],[f432,f472]) ).

fof(f474,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ rearsegP(sk4,sk3)
    | ~ ssList(sk3) ),
    inference(resolution,[status(thm)],[f473,f470]) ).

fof(f476,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ rearsegP(sk4,sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f474,f429]) ).

fof(f488,plain,
    ~ rearsegP(sk3,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[f476,f471]) ).

fof(f489,plain,
    ~ ssList(sk3),
    inference(resolution,[status(thm)],[f488,f255]) ).

fof(f490,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f489,f429]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.35  % Computer : n001.cluster.edu
% 0.08/5.35  % Model    : x86_64 x86_64
% 0.08/5.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35  % Memory   : 8046.5625MB
% 0.08/5.35  % OS       : Linux 6.8.0-71-generic
% 0.08/5.35  % CPULimit : 300
% 0.08/5.35  % WCLimit  : 300
% 0.08/5.35  % DateTime : Mon Sep 21 07:56:49 UTC 2026
% 0.08/5.35  % CPUTime  : 
% 0.08/5.37  % Drodi V4.1.1
% 0.08/5.39  % Refutation found
% 0.08/5.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.41  % Elapsed time: 0.054887 seconds
% 0.12/5.41  % CPU time: 0.149826 seconds
% 0.12/5.41  % Total memory used: 88.151 MB
% 0.12/5.41  % Net memory used: 88.012 MB
%------------------------------------------------------------------------------