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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC047-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 02:39:44 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   76 (  22 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   95 (  51   ~;  44   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f59,axiom,
    ! [U] :
      ( rearsegP(U,U)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f187,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    sk4 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    ( neq(sk2,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ! [A] :
      ( ~ rearsegP(sk1,A)
      | ~ rearsegP(sk2,A)
      | ~ neq(A,nil)
      | ~ ssList(A)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    ! [A] :
      ( ~ rearsegP(sk1,A)
      | ~ rearsegP(sk2,A)
      | ~ neq(A,nil)
      | ~ ssList(A)
      | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f428,plain,
    ssList(sk2),
    inference(cnf_transformation,[status(thm)],[f187]) ).

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,
    sk4 = sk3,
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f434,plain,
    ( neq(sk2,nil)
    | nil = sk2 ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f435,plain,
    ! [X0] :
      ( ~ rearsegP(sk1,X0)
      | ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil = sk2 ),
    inference(cnf_transformation,[status(thm)],[f194]) ).

fof(f436,plain,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f437,plain,
    ! [X0] :
      ( ~ rearsegP(sk1,X0)
      | ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil != sk1 ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f469,plain,
    sk1 = sk2,
    inference(backward_demodulation,[status(thm)],[f470,f432]) ).

fof(f470,plain,
    sk2 = sk3,
    inference(forward_demodulation,[status(thm)],[f431,f433]) ).

fof(f472,plain,
    ( neq(sk2,nil)
    | nil != sk2 ),
    inference(forward_demodulation,[status(thm)],[f469,f436]) ).

fof(f473,plain,
    neq(sk2,nil),
    inference(forward_subsumption_resolution,[status(thm)],[f472,f434]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ rearsegP(sk2,X0)
      | ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil = sk2 ),
    inference(forward_demodulation,[status(thm)],[f469,f435]) ).

fof(f475,plain,
    ! [X0] :
      ( ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil = sk2 ),
    inference(duplicate_literals_removal,[status(thm)],[f474]) ).

fof(f478,plain,
    ! [X0] :
      ( ~ rearsegP(sk1,X0)
      | ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil != sk2 ),
    inference(forward_demodulation,[status(thm)],[f469,f437]) ).

fof(f479,plain,
    ! [X0] :
      ( ~ rearsegP(sk2,X0)
      | ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil != sk2 ),
    inference(forward_demodulation,[status(thm)],[f469,f478]) ).

fof(f480,plain,
    ! [X0] :
      ( ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0)
      | nil != sk2 ),
    inference(duplicate_literals_removal,[status(thm)],[f479]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ rearsegP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f480,f475]) ).

fof(f482,plain,
    ( ~ rearsegP(sk2,sk2)
    | ~ ssList(sk2) ),
    inference(resolution,[status(thm)],[f481,f473]) ).

fof(f483,plain,
    ~ rearsegP(sk2,sk2),
    inference(forward_subsumption_resolution,[status(thm)],[f482,f428]) ).

fof(f484,plain,
    ~ ssList(sk2),
    inference(resolution,[status(thm)],[f483,f255]) ).

fof(f485,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f484,f428]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n005.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 : Mon Sep 21 07:51:18 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V4.1.1
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43  % Elapsed time: 0.060168 seconds
% 0.14/0.43  % CPU time: 0.158759 seconds
% 0.14/0.43  % Total memory used: 108.619 MB
% 0.14/0.43  % Net memory used: 108.486 MB
%------------------------------------------------------------------------------