%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL052-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:13:40 EDT 2024

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  13 unt;   0 def)
%            Number of atoms       :   27 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,W] : response(compose(X,Y),W) = response(X,response(Y,W)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( ~ agreeable(X)
      | response(X,common_bird(Y)) = response(Y,common_bird(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Z] :
      ( response(X,Z) != response(compatible(X),Z)
      | agreeable(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    agreeable(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ agreeable(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    c = compose(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X] :
      ( ~ agreeable(X)
      | ! [Y] : response(X,common_bird(Y)) = response(Y,common_bird(Y)) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ agreeable(X0)
      | response(X0,common_bird(X1)) = response(X1,common_bird(X1)) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ! [X] :
      ( ! [Z] : response(X,Z) != response(compatible(X),Z)
      | agreeable(X) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( response(X0,X1) != response(compatible(X0),X1)
      | agreeable(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f12,plain,
    agreeable(c),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f13,plain,
    ~ agreeable(a),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    c = compose(a,b),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    ! [X0] : response(c,X0) = response(a,response(b,X0)),
    inference(paramodulation,[status(thm)],[f14,f7]) ).

fof(f16,plain,
    ! [X0] : response(c,common_bird(X0)) = response(X0,common_bird(X0)),
    inference(resolution,[status(thm)],[f9,f12]) ).

fof(f18,plain,
    ! [X0,X1] : response(c,common_bird(compose(X0,X1))) = response(X0,response(X1,common_bird(compose(X0,X1)))),
    inference(paramodulation,[status(thm)],[f7,f16]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( response(X0,response(X1,common_bird(compose(compatible(X0),X1)))) != response(c,common_bird(compose(compatible(X0),X1)))
      | agreeable(X0) ),
    inference(paramodulation,[status(thm)],[f18,f11]) ).

fof(f35,plain,
    ! [X0] : response(a,response(X0,common_bird(compose(compatible(a),X0)))) != response(c,common_bird(compose(compatible(a),X0))),
    inference(resolution,[status(thm)],[f30,f13]) ).

fof(f37,plain,
    $false,
    inference(resolution,[status(thm)],[f35,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL052-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n025.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 : Mon Apr 29 22:43:11 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36  % Elapsed time: 0.018545 seconds
% 0.14/0.36  % CPU time: 0.028471 seconds
% 0.14/0.36  % Total memory used: 8.225 MB
% 0.14/0.36  % Net memory used: 8.103 MB
%------------------------------------------------------------------------------