%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL080-1 : TPTP v8.1.2. Released v1.2.0.
% 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 20:13:47 EDT 2024

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  13 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

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

fof(f6,axiom,
    ! [X,Y,Z] : apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,k(Z)),apply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y] :
      ( X = Y
      | apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    k(b) != apply(abstraction,apply(abstraction,k(b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0,X1] : apply(k(X0),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f18,plain,
    ! [X0,X1,X2] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( X0 = X1
      | apply(X0,n(X0,X1)) != apply(X1,n(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f24,plain,
    k(b) != apply(abstraction,apply(abstraction,k(b))),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f25,plain,
    ! [X0,X1,X2] : apply(apply(apply(abstraction,k(X0)),X1),X2) = apply(X0,apply(X1,X2)),
    inference(paramodulation,[status(thm)],[f13,f18]) ).

fof(f28,plain,
    ! [X0,X1,X2] : apply(apply(apply(abstraction,apply(abstraction,k(X0))),X1),X2) = apply(X0,apply(k(X2),apply(X1,X2))),
    inference(paramodulation,[status(thm)],[f18,f25]) ).

fof(f29,plain,
    ! [X0,X1,X2] : apply(apply(apply(abstraction,apply(abstraction,k(X0))),X1),X2) = apply(X0,X2),
    inference(forward_demodulation,[status(thm)],[f13,f28]) ).

fof(f493,plain,
    ! [X0,X1] : apply(apply(abstraction,apply(abstraction,k(X0))),X1) = X0,
    inference(resolution,[status(thm)],[f21,f29]) ).

fof(f512,plain,
    ! [X0,X1] :
      ( X0 = k(X1)
      | apply(X0,n(X0,k(X1))) != X1 ),
    inference(paramodulation,[status(thm)],[f13,f21]) ).

fof(f533,plain,
    ! [X0] : apply(abstraction,apply(abstraction,k(X0))) = k(X0),
    inference(resolution,[status(thm)],[f493,f512]) ).

fof(f563,plain,
    k(b) != k(b),
    inference(backward_demodulation,[status(thm)],[f533,f24]) ).

fof(f564,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f563]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COL080-1 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:22:41 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.030315 seconds
% 0.13/0.38  % CPU time: 0.106510 seconds
% 0.13/0.38  % Total memory used: 21.146 MB
% 0.13/0.38  % Net memory used: 21.080 MB
%------------------------------------------------------------------------------