%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:46:56 EDT 2024

% Result   : Theorem 0.21s 0.36s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   16 (   6   ~;   0   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (  12   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ! [U,V,W,X] :
      ( ( pair_in_list(create_slb,V,W)
        & strictly_less_than(W,X) )
     => pair_in_list(update_slb(create_slb,X),V,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [U,V,W,X] :
        ( ( pair_in_list(create_slb,V,W)
          & strictly_less_than(W,X) )
       => pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f40,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f62,plain,
    ? [U,V,W,X] :
      ( pair_in_list(create_slb,V,W)
      & strictly_less_than(W,X)
      & ~ pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f63,plain,
    ? [V,X] :
      ( ? [W] :
          ( pair_in_list(create_slb,V,W)
          & strictly_less_than(W,X) )
      & ~ pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(miniscoping,[status(esa)],[f62]) ).

fof(f64,plain,
    ( pair_in_list(create_slb,sk0_0,sk0_2)
    & strictly_less_than(sk0_2,sk0_1)
    & ~ pair_in_list(update_slb(create_slb,sk0_1),sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f63]) ).

fof(f65,plain,
    pair_in_list(create_slb,sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f70,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f65,f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Apr 30 01:29:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.35  % Drodi V3.6.0
% 0.21/0.36  % Refutation found
% 0.21/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.37  % Elapsed time: 0.018243 seconds
% 0.21/0.37  % CPU time: 0.019772 seconds
% 0.21/0.37  % Total memory used: 7.295 MB
% 0.21/0.37  % Net memory used: 7.223 MB
%------------------------------------------------------------------------------