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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV410+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 02:47:36 PM UTC 2026

% Result   : Theorem 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   6   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [U] : ~ contains_slb(create_slb,U),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ! [U] :
      ( contains_slb(create_slb,U)
     => ? [V] : pair_in_list(create_slb,U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [U] :
        ( contains_slb(create_slb,U)
       => ? [V] : pair_in_list(create_slb,U,V) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f34,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f62,plain,
    ? [U] :
      ( ! [V] : ~ pair_in_list(create_slb,U,V)
      & contains_slb(create_slb,U) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f63,plain,
    ( ! [V] : ~ pair_in_list(create_slb,sK0_skl,V)
    & contains_slb(create_slb,sK0_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl)],[f62]) ).

fof(f64,plain,
    contains_slb(create_slb,sK0_skl),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f69,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f64,f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV410+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n002.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 08:47:47 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.13/0.40  % Refutation found
% 0.13/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42  % Elapsed time: 0.062459 seconds
% 0.13/0.42  % CPU time: 0.177408 seconds
% 0.13/0.42  % Total memory used: 101.733 MB
% 0.13/0.42  % Net memory used: 101.471 MB
%------------------------------------------------------------------------------