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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SEU417+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 02:20:29 PM UTC 2026

% Result   : Theorem 5.41s 1.23s
% Output   : CNFRefutation 5.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   65 (  25 unt;   3 def)
%            Number of atoms       :  141 (  25 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  131 (  55   ~;  50   |;   8   &)
%                                         (   3 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   97 (  94   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [A,B] :
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ! [C] :
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
         => r1_tarski(k5_subset_1(A,k8_setfam_1(A,B),k8_setfam_1(A,C)),k8_setfam_1(A,k1_relset_2(A,B,C))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [A,B] :
        ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
       => ! [C] :
            ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
           => r1_tarski(k5_subset_1(A,k8_setfam_1(A,B),k8_setfam_1(A,C)),k8_setfam_1(A,k1_relset_2(A,B,C))) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f6,axiom,
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A,B,C] :
      ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => m1_subset_1(k1_relset_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A,B,C] :
      ( ( m1_subset_1(C,k1_zfmisc_1(A))
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [A,B,C] :
      ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => k1_relset_2(A,B,C) = k3_xboole_0(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [A,B,C] :
      ( ( m1_subset_1(C,k1_zfmisc_1(A))
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [A,B,C] : r1_tarski(k3_xboole_0(A,B),k2_xboole_0(A,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [A,B] :
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ! [C] :
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
         => ( r1_tarski(B,C)
           => r1_tarski(k8_setfam_1(A,C),k8_setfam_1(A,B)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [A,B] :
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ! [C] :
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
         => ! [D] :
              ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A)))
             => ( B = k4_subset_1(k1_zfmisc_1(A),C,D)
               => k8_setfam_1(A,B) = k5_subset_1(A,k8_setfam_1(A,C),k8_setfam_1(A,D)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,plain,
    ? [A,B] :
      ( ? [C] :
          ( ~ r1_tarski(k5_subset_1(A,k8_setfam_1(A,B),k8_setfam_1(A,C)),k8_setfam_1(A,k1_relset_2(A,B,C)))
          & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
      & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f53,plain,
    ( ~ r1_tarski(k5_subset_1(sK0_skl,k8_setfam_1(sK0_skl,sK1_skl),k8_setfam_1(sK0_skl,sK2_skl)),k8_setfam_1(sK0_skl,k1_relset_2(sK0_skl,sK1_skl,sK2_skl)))
    & m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))
    & m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f52]) ).

fof(f54,plain,
    m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f55,plain,
    m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f56,plain,
    ~ r1_tarski(k5_subset_1(sK0_skl,k8_setfam_1(sK0_skl,sK1_skl),k8_setfam_1(sK0_skl,sK2_skl)),k8_setfam_1(sK0_skl,k1_relset_2(sK0_skl,sK1_skl,sK2_skl))),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f63,plain,
    ! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f64,plain,
    ! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f69,plain,
    ! [A,B,C] :
      ( m1_subset_1(k1_relset_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A)))
      | ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
      | ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k1_relset_2(X1,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f71,plain,
    ! [A,B,C] :
      ( m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A))
      | ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
    inference(pre_NNF_transformation,[status(thm)],[f15]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f118,plain,
    ! [A,B,C] :
      ( k1_relset_2(A,B,C) = k3_xboole_0(B,C)
      | ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
      | ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(pre_NNF_transformation,[status(thm)],[f35]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( k1_relset_2(X1,X0,X2) = k3_xboole_0(X0,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(cnf_transformation,[status(thm)],[f118]) ).

fof(f120,plain,
    ! [A,B,C] :
      ( k4_subset_1(A,B,C) = k2_xboole_0(B,C)
      | ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
    inference(pre_NNF_transformation,[status(thm)],[f36]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f129,plain,
    ! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f140,plain,
    ! [A,B] :
      ( ! [C] :
          ( r1_tarski(k8_setfam_1(A,C),k8_setfam_1(A,B))
          | ~ r1_tarski(B,C)
          | ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
      | ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(pre_NNF_transformation,[status(thm)],[f46]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(k8_setfam_1(X1,X2),k8_setfam_1(X1,X0))
      | ~ r1_tarski(X0,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f153,plain,
    ! [A,B] :
      ( ! [C] :
          ( ! [D] :
              ( k8_setfam_1(A,B) = k5_subset_1(A,k8_setfam_1(A,C),k8_setfam_1(A,D))
              | B != k4_subset_1(k1_zfmisc_1(A),C,D)
              | ~ m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) )
          | ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
      | ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(pre_NNF_transformation,[status(thm)],[f51]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( k8_setfam_1(X1,X0) = k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3))
      | X0 != k4_subset_1(k1_zfmisc_1(X1),X2,X3)
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( k8_setfam_1(X0,k4_subset_1(k1_zfmisc_1(X0),X1,X2)) = k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X0),X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(destructive_equality_resolution,[status(thm)],[f154]) ).

fof(f162,plain,
    ! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X2,X0)),
    inference(paramodulation,[status(thm)],[f63,f129]) ).

fof(f169,plain,
    ! [X0] :
      ( m1_subset_1(k1_relset_2(sK0_skl,X0,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(resolution,[status(thm)],[f70,f55]) ).

fof(f178,plain,
    ! [X0] :
      ( m1_subset_1(k4_subset_1(k1_zfmisc_1(sK0_skl),X0,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(resolution,[status(thm)],[f72,f55]) ).

fof(f192,plain,
    ! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X2,X1)),
    inference(paramodulation,[status(thm)],[f64,f162]) ).

fof(f214,plain,
    m1_subset_1(k1_relset_2(sK0_skl,sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
    inference(resolution,[status(thm)],[f169,f54]) ).

fof(f260,plain,
    ! [X0] :
      ( k1_relset_2(sK0_skl,X0,sK2_skl) = k3_xboole_0(X0,sK2_skl)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(resolution,[status(thm)],[f119,f55]) ).

fof(f314,plain,
    m1_subset_1(k4_subset_1(k1_zfmisc_1(sK0_skl),sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
    inference(resolution,[status(thm)],[f178,f54]) ).

fof(f335,plain,
    ! [X0] :
      ( k4_subset_1(k1_zfmisc_1(sK0_skl),X0,sK2_skl) = k2_xboole_0(X0,sK2_skl)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(resolution,[status(thm)],[f121,f55]) ).

fof(f438,plain,
    ! [X0,X1,X2] :
      ( k8_setfam_1(X1,k4_subset_1(k1_zfmisc_1(X1),X0,X2)) = k5_subset_1(X1,k8_setfam_1(X1,X0),k8_setfam_1(X1,X2))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f155,f72]) ).

fof(f440,plain,
    ! [X0] :
      ( k8_setfam_1(sK0_skl,k4_subset_1(k1_zfmisc_1(sK0_skl),X0,sK2_skl)) = k5_subset_1(sK0_skl,k8_setfam_1(sK0_skl,X0),k8_setfam_1(sK0_skl,sK2_skl))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(resolution,[status(thm)],[f438,f55]) ).

fof(f580,plain,
    k1_relset_2(sK0_skl,sK1_skl,sK2_skl) = k3_xboole_0(sK1_skl,sK2_skl),
    inference(resolution,[status(thm)],[f260,f54]) ).

fof(f1007,plain,
    k4_subset_1(k1_zfmisc_1(sK0_skl),sK1_skl,sK2_skl) = k2_xboole_0(sK1_skl,sK2_skl),
    inference(resolution,[status(thm)],[f335,f54]) ).

fof(f1124,plain,
    k8_setfam_1(sK0_skl,k4_subset_1(k1_zfmisc_1(sK0_skl),sK1_skl,sK2_skl)) = k5_subset_1(sK0_skl,k8_setfam_1(sK0_skl,sK1_skl),k8_setfam_1(sK0_skl,sK2_skl)),
    inference(resolution,[status(thm)],[f440,f54]) ).

fof(f5617,plain,
    m1_subset_1(k3_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
    inference(backward_demodulation,[status(thm)],[f580,f214]) ).

fof(f5620,plain,
    ~ r1_tarski(k5_subset_1(sK0_skl,k8_setfam_1(sK0_skl,sK1_skl),k8_setfam_1(sK0_skl,sK2_skl)),k8_setfam_1(sK0_skl,k3_xboole_0(sK1_skl,sK2_skl))),
    inference(backward_demodulation,[status(thm)],[f580,f56]) ).

fof(f8594,definition,
    ( sQ229_spl
  <=> m1_subset_1(k3_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).

fof(f8596,plain,
    ( sQ229_spl
    | ~ m1_subset_1(k3_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(component_clause,[status(thm)],[f8594]) ).

fof(f8601,plain,
    ( sQ229_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8596,f5617]) ).

fof(f8602,plain,
    sQ229_spl,
    inference(contradiction_clause,[status(thm)],[f8601]) ).

fof(f9429,plain,
    m1_subset_1(k2_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
    inference(backward_demodulation,[status(thm)],[f1007,f314]) ).

fof(f10233,definition,
    ( sQ270_spl
  <=> m1_subset_1(k2_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).

fof(f10235,plain,
    ( sQ270_spl
    | ~ m1_subset_1(k2_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(component_clause,[status(thm)],[f10233]) ).

fof(f10240,plain,
    ( sQ270_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f10235,f9429]) ).

fof(f10241,plain,
    sQ270_spl,
    inference(contradiction_clause,[status(thm)],[f10240]) ).

fof(f10407,plain,
    ~ r1_tarski(k8_setfam_1(sK0_skl,k2_xboole_0(sK1_skl,sK2_skl)),k8_setfam_1(sK0_skl,k3_xboole_0(sK1_skl,sK2_skl))),
    inference(backward_demodulation,[status(thm)],[f10408,f5620]) ).

fof(f10408,plain,
    k8_setfam_1(sK0_skl,k2_xboole_0(sK1_skl,sK2_skl)) = k5_subset_1(sK0_skl,k8_setfam_1(sK0_skl,sK1_skl),k8_setfam_1(sK0_skl,sK2_skl)),
    inference(forward_demodulation,[status(thm)],[f1007,f1124]) ).

fof(f10409,plain,
    ( ~ r1_tarski(k3_xboole_0(sK1_skl,sK2_skl),k2_xboole_0(sK1_skl,sK2_skl))
    | ~ m1_subset_1(k2_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))
    | ~ m1_subset_1(k3_xboole_0(sK1_skl,sK2_skl),k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
    inference(resolution,[status(thm)],[f10407,f141]) ).

fof(f10411,definition,
    ( sQ280_spl
  <=> r1_tarski(k3_xboole_0(sK1_skl,sK2_skl),k2_xboole_0(sK1_skl,sK2_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).

fof(f10413,plain,
    ( sQ280_spl
    | ~ r1_tarski(k3_xboole_0(sK1_skl,sK2_skl),k2_xboole_0(sK1_skl,sK2_skl)) ),
    inference(component_clause,[status(thm)],[f10411]) ).

fof(f10414,plain,
    ( ~ sQ280_spl
    | ~ sQ270_spl
    | ~ sQ229_spl ),
    inference(split_clause,[status(thm)],[f10409,f8594,f10233,f10411]) ).

fof(f10415,plain,
    ( sQ280_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f10413,f192]) ).

fof(f10416,plain,
    sQ280_spl,
    inference(contradiction_clause,[status(thm)],[f10415]) ).

fof(f10417,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f8602,f10241,f10414,f10416]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU417+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n017.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 06:19:42 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.39  % Drodi V4.1.1
% 5.41/1.23  % Refutation found
% 5.41/1.23  % SZS status Theorem for theBenchmark: Theorem is valid
% 5.41/1.23  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.41/1.27  % Elapsed time: 0.879863 seconds
% 5.41/1.27  % CPU time: 6.712351 seconds
% 5.41/1.27  % Total memory used: 202.497 MB
% 5.41/1.27  % Net memory used: 191.911 MB
%------------------------------------------------------------------------------