%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 20:46:02 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   52 (   9 equ)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :   60 (  15   ~;  12   |;  25   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,conjecture,
    ( ( ! [A,B] :
          ( ( leq(n0,A)
            & leq(n0,B)
            & leq(A,minus(n6,n1))
            & leq(B,minus(n6,n1)) )
         => a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
      & ! [C,D] :
          ( ( leq(n0,C)
            & leq(n0,D)
            & leq(C,minus(n3,n1))
            & leq(D,minus(n3,n1)) )
         => a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
      & ! [E,F] :
          ( ( leq(n0,E)
            & leq(n0,F)
            & leq(E,minus(n6,n1))
            & leq(F,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) )
   => true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( ( ! [A,B] :
            ( ( leq(n0,A)
              & leq(n0,B)
              & leq(A,minus(n6,n1))
              & leq(B,minus(n6,n1)) )
           => a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
        & ! [C,D] :
            ( ( leq(n0,C)
              & leq(n0,D)
              & leq(C,minus(n3,n1))
              & leq(D,minus(n3,n1)) )
           => a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
        & ! [E,F] :
            ( ( leq(n0,E)
              & leq(n0,F)
              & leq(E,minus(n6,n1))
              & leq(F,minus(n6,n1)) )
           => a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) )
     => true ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f251,plain,
    true,
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f253,plain,
    ( ! [A,B] :
        ( ~ leq(n0,A)
        | ~ leq(n0,B)
        | ~ leq(A,minus(n6,n1))
        | ~ leq(B,minus(n6,n1))
        | a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
    & ! [C,D] :
        ( ~ leq(n0,C)
        | ~ leq(n0,D)
        | ~ leq(C,minus(n3,n1))
        | ~ leq(D,minus(n3,n1))
        | a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
    & ! [E,F] :
        ( ~ leq(n0,E)
        | ~ leq(n0,F)
        | ~ leq(E,minus(n6,n1))
        | ~ leq(F,minus(n6,n1))
        | a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
    & ~ true ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f257,plain,
    ~ true,
    inference(cnf_transformation,[status(esa)],[f253]) ).

fof(f335,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f251,f257]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Apr 30 00:34:11 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.14/0.38  % Drodi V3.6.0
% 0.14/0.39  % Refutation found
% 0.14/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40  % Elapsed time: 0.026502 seconds
% 0.14/0.40  % CPU time: 0.035024 seconds
% 0.14/0.40  % Total memory used: 14.149 MB
% 0.14/0.40  % Net memory used: 14.124 MB
%------------------------------------------------------------------------------