%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN554-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:47:06 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  16 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   70 (  37   ~;  31   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (;  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2] : p2(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X15] : ~ p4(X15,X15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ p2(c6,c7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X0,X1] :
      ( p2(X0,X1)
      | p4(X0,X1)
      | p4(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X3,X4,X2] :
      ( p2(X3,X4)
      | ~ p2(X2,X4)
      | ~ p2(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [X13,X14] :
      ( p4(f3(c5,X13),f3(c5,X14))
      | ~ p4(X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [X9,X10,X12,X11] :
      ( p4(X9,X10)
      | ~ p2(X12,X10)
      | ~ p4(X11,X12)
      | ~ p2(X11,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f11,plain,
    ! [X0] : ~ p4(X0,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f12,plain,
    ~ p2(c6,c7),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f13,plain,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( p2(X0,X1)
      | p4(X0,X1)
      | p4(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [X3,X2] :
      ( ! [X4] :
          ( p2(X3,X4)
          | ~ p2(X2,X4) )
      | ~ p2(X2,X3) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( p2(X0,X1)
      | ~ p2(X2,X1)
      | ~ p2(X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( p4(f3(c5,X0),f3(c5,X1))
      | ~ p4(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    ! [X9,X11] :
      ( ! [X12] :
          ( ! [X10] :
              ( p4(X9,X10)
              | ~ p2(X12,X10) )
          | ~ p4(X11,X12) )
      | ~ p2(X11,X9) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3] :
      ( p4(X0,X1)
      | ~ p2(X2,X1)
      | ~ p4(X3,X2)
      | ~ p2(X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( p2(X0,X1)
      | ~ p2(X1,X0) ),
    inference(resolution,[status(thm)],[f16,f10]) ).

fof(f33,plain,
    p2(f3(c5,c7),f3(c5,c6)),
    inference(resolution,[status(thm)],[f27,f13]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p4(X2,X0)
      | ~ p2(X2,X1) ),
    inference(resolution,[status(thm)],[f19,f11]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p4(X1,X0) ),
    inference(resolution,[status(thm)],[f41,f10]) ).

fof(f45,plain,
    ~ p4(f3(c5,c6),f3(c5,c7)),
    inference(resolution,[status(thm)],[f44,f33]) ).

fof(f46,plain,
    ~ p4(f3(c5,c7),f3(c5,c6)),
    inference(resolution,[status(thm)],[f44,f13]) ).

fof(f48,plain,
    ~ p4(c6,c7),
    inference(resolution,[status(thm)],[f45,f17]) ).

fof(f69,plain,
    ( spl0_4
  <=> p4(c7,c6) ),
    introduced(split_symbol_definition) ).

fof(f70,plain,
    ( p4(c7,c6)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f69]) ).

fof(f74,plain,
    ( spl0_5
  <=> p2(c6,c7) ),
    introduced(split_symbol_definition) ).

fof(f75,plain,
    ( p2(c6,c7)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f74]) ).

fof(f77,plain,
    ( p2(c6,c7)
    | p4(c7,c6) ),
    inference(resolution,[status(thm)],[f48,f14]) ).

fof(f78,plain,
    ( spl0_5
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f77,f74,f69]) ).

fof(f79,plain,
    ~ p4(c7,c6),
    inference(resolution,[status(thm)],[f46,f17]) ).

fof(f80,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f79,f70]) ).

fof(f81,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f80]) ).

fof(f90,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f75,f12]) ).

fof(f91,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f90]) ).

fof(f92,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f78,f81,f91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SYN554-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n029.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 10:40:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.019769 seconds
% 0.13/0.37  % CPU time: 0.032006 seconds
% 0.13/0.37  % Memory used: 2.105 MB
%------------------------------------------------------------------------------