%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW421-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Wed May 31 12:44:55 EDT 2023

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   39 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  14   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y,Z,Sigma] :
      ( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
      | X = Y
      | heap(sep(lseg(X,Z),Sigma)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    x2 != x1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ~ heap(sep(lseg(x1,x3),emp)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f27,plain,
    ! [X,Z,Sigma] :
      ( ! [Y] :
          ( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
          | X = Y )
      | heap(sep(lseg(X,Z),Sigma)) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
      | X0 = X1
      | heap(sep(lseg(X0,X2),X3)) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f36,plain,
    x2 != x1,
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f38,plain,
    heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f39,plain,
    ~ heap(sep(lseg(x1,x3),emp)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f437,plain,
    ! [X0,X1,X2,X3] :
      ( ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3)))
      | X2 = X0
      | heap(sep(lseg(X2,X1),X3)) ),
    inference(paramodulation,[status(thm)],[f17,f28]) ).

fof(f813,plain,
    ( spl0_4
  <=> x1 = x2 ),
    introduced(split_symbol_definition) ).

fof(f814,plain,
    ( x1 = x2
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f813]) ).

fof(f816,plain,
    ( spl0_5
  <=> heap(sep(lseg(x1,x3),emp)) ),
    introduced(split_symbol_definition) ).

fof(f817,plain,
    ( heap(sep(lseg(x1,x3),emp))
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f816]) ).

fof(f819,plain,
    ( x1 = x2
    | heap(sep(lseg(x1,x3),emp)) ),
    inference(resolution,[status(thm)],[f437,f38]) ).

fof(f820,plain,
    ( spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f819,f813,f816]) ).

fof(f838,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f814,f36]) ).

fof(f839,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f838]) ).

fof(f840,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f817,f39]) ).

fof(f841,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f840]) ).

fof(f842,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f820,f839,f841]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW421-1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:58:03 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.20/0.40  % Refutation found
% 0.20/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.048228 seconds
% 0.20/0.40  % CPU time: 0.235918 seconds
% 0.20/0.40  % Memory used: 19.621 MB
%------------------------------------------------------------------------------