%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN109-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:51:21 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (  17 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   70 (  35   ~;  33   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X] : p0(b,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [I,J] :
      ( k1(I)
      | ~ n0(J,I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [G,H,I] :
      ( m1(G,H,G)
      | ~ p0(I,H)
      | ~ r0(G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f131,axiom,
    ! [H,I] :
      ( q1(H,H,H)
      | ~ q0(I,H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f165,axiom,
    ! [C,D,E,F] :
      ( k2(C,D)
      | ~ m1(E,D,C)
      | ~ k1(F)
      | ~ k2(F,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f167,axiom,
    ! [J,A] :
      ( k2(J,J)
      | ~ q1(A,J,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ k2(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f378,plain,
    r0(b),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f383,plain,
    ! [X0] : p0(b,X0),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f395,plain,
    n0(d,c),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f402,plain,
    q0(d,c),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f408,plain,
    ! [I] :
      ( k1(I)
      | ! [J] : ~ n0(J,I) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( k1(X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f408]) ).

fof(f419,plain,
    ! [G] :
      ( ! [H] :
          ( m1(G,H,G)
          | ! [I] : ~ p0(I,H) )
      | ~ r0(G) ),
    inference(miniscoping,[status(esa)],[f45]) ).

fof(f420,plain,
    ! [X0,X1,X2] :
      ( m1(X0,X1,X0)
      | ~ p0(X2,X1)
      | ~ r0(X0) ),
    inference(cnf_transformation,[status(esa)],[f419]) ).

fof(f556,plain,
    ! [H] :
      ( q1(H,H,H)
      | ! [I] : ~ q0(I,H) ),
    inference(miniscoping,[status(esa)],[f131]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( q1(X0,X0,X0)
      | ~ q0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f556]) ).

fof(f610,plain,
    ! [D,F] :
      ( ! [C] :
          ( k2(C,D)
          | ! [E] : ~ m1(E,D,C) )
      | ~ k1(F)
      | ~ k2(F,D) ),
    inference(miniscoping,[status(esa)],[f165]) ).

fof(f611,plain,
    ! [X0,X1,X2,X3] :
      ( k2(X0,X1)
      | ~ m1(X2,X1,X0)
      | ~ k1(X3)
      | ~ k2(X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f610]) ).

fof(f613,plain,
    ! [J] :
      ( k2(J,J)
      | ! [A] : ~ q1(A,J,J) ),
    inference(miniscoping,[status(esa)],[f167]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( k2(X0,X0)
      | ~ q1(X1,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f613]) ).

fof(f924,plain,
    ~ k2(b,c),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1346,plain,
    ( spl0_118
  <=> k1(c) ),
    introduced(split_symbol_definition) ).

fof(f1348,plain,
    ( ~ k1(c)
    | spl0_118 ),
    inference(component_clause,[status(thm)],[f1346]) ).

fof(f1671,plain,
    ( spl0_211
  <=> k2(b,c) ),
    introduced(split_symbol_definition) ).

fof(f1672,plain,
    ( k2(b,c)
    | ~ spl0_211 ),
    inference(component_clause,[status(thm)],[f1671]) ).

fof(f2012,plain,
    k1(c),
    inference(resolution,[status(thm)],[f409,f395]) ).

fof(f2018,plain,
    ( $false
    | spl0_118 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1348,f2012]) ).

fof(f2019,plain,
    spl0_118,
    inference(contradiction_clause,[status(thm)],[f2018]) ).

fof(f2090,plain,
    ! [X0,X1] :
      ( m1(X0,X1,X0)
      | ~ r0(X0) ),
    inference(resolution,[status(thm)],[f420,f383]) ).

fof(f2217,plain,
    ! [X0] : m1(b,X0,b),
    inference(resolution,[status(thm)],[f2090,f378]) ).

fof(f2220,plain,
    ! [X0,X1] :
      ( k2(b,X0)
      | ~ k1(X1)
      | ~ k2(X1,X0) ),
    inference(resolution,[status(thm)],[f2217,f611]) ).

fof(f2450,plain,
    q1(c,c,c),
    inference(resolution,[status(thm)],[f557,f402]) ).

fof(f2499,plain,
    k2(c,c),
    inference(resolution,[status(thm)],[f2450,f614]) ).

fof(f2506,plain,
    ( k2(b,c)
    | ~ k1(c) ),
    inference(resolution,[status(thm)],[f2499,f2220]) ).

fof(f2507,plain,
    ( spl0_211
    | ~ spl0_118 ),
    inference(split_clause,[status(thm)],[f2506,f1671,f1346]) ).

fof(f2513,plain,
    ( $false
    | ~ spl0_211 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1672,f924]) ).

fof(f2514,plain,
    ~ spl0_211,
    inference(contradiction_clause,[status(thm)],[f2513]) ).

fof(f2515,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2019,f2507,f2514]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : SYN109-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n012.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 : Mon Apr 29 21:52:27 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41  % Elapsed time: 0.056800 seconds
% 0.13/0.41  % CPU time: 0.255597 seconds
% 0.13/0.41  % Total memory used: 40.928 MB
% 0.13/0.41  % Net memory used: 40.651 MB
%------------------------------------------------------------------------------