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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SEU306+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 : n026.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 02:20:06 PM UTC 2026

% Result   : Theorem 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   18 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   6   ~;   2   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   5   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,axiom,
    ! [A] :
      ( one_sorted_str(A)
     => cast_as_carrier_subset(A) = the_carrier(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,conjecture,
    ! [A] :
      ( one_sorted_str(A)
     => cast_as_carrier_subset(A) = the_carrier(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ~ ! [A] :
        ( one_sorted_str(A)
       => cast_as_carrier_subset(A) = the_carrier(A) ),
    inference(negated_conjecture,[status(cth)],[f40]) ).

fof(f149,plain,
    ! [A] :
      ( cast_as_carrier_subset(A) = the_carrier(A)
      | ~ one_sorted_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f39]) ).

fof(f150,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f149]) ).

fof(f151,plain,
    ? [A] :
      ( cast_as_carrier_subset(A) != the_carrier(A)
      & one_sorted_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f41]) ).

fof(f152,plain,
    ( cast_as_carrier_subset(sK5_skl) != the_carrier(sK5_skl)
    & one_sorted_str(sK5_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(A,sK5_skl)],[f151]) ).

fof(f153,plain,
    one_sorted_str(sK5_skl),
    inference(cnf_transformation,[status(thm)],[f152]) ).

fof(f154,plain,
    cast_as_carrier_subset(sK5_skl) != the_carrier(sK5_skl),
    inference(cnf_transformation,[status(thm)],[f152]) ).

fof(f155,plain,
    cast_as_carrier_subset(sK5_skl) = the_carrier(sK5_skl),
    inference(resolution,[status(thm)],[f150,f153]) ).

fof(f156,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f155,f154]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n026.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 06:12:52 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.14/0.39  % Drodi V4.1.1
% 0.14/0.41  % Refutation found
% 0.14/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43  % Elapsed time: 0.048219 seconds
% 0.14/0.43  % CPU time: 0.132909 seconds
% 0.14/0.43  % Total memory used: 74.102 MB
% 0.14/0.43  % Net memory used: 74.080 MB
%------------------------------------------------------------------------------