%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL027-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:13:34 EDT 2024

% Result   : Unsatisfiable 0.20s 0.35s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

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

fof(f2,axiom,
    ! [X,Y,Z] : apply(apply(apply(h,X),Y),Z) = apply(apply(apply(X,Y),Z),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [Y] : Y != apply(combinator,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1,X2] : apply(apply(apply(h,X0),X1),X2) = apply(apply(apply(X0,X1),X2),X1),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [X0] : X0 != apply(combinator,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0,X1,X2] : apply(apply(apply(h,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X1,X2)),X1),
    inference(paramodulation,[status(thm)],[f4,f5]) ).

fof(f79,plain,
    ! [X0,X1,X2] : apply(apply(apply(h,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X1,X2),X1)),
    inference(paramodulation,[status(thm)],[f4,f9]) ).

fof(f118,plain,
    $false,
    inference(resolution,[status(thm)],[f79,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.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 22:42:40 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 0.20/0.35  % Refutation found
% 0.20/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.36  % Elapsed time: 0.016212 seconds
% 0.20/0.36  % CPU time: 0.040554 seconds
% 0.20/0.36  % Total memory used: 3.378 MB
% 0.20/0.36  % Net memory used: 3.352 MB
%------------------------------------------------------------------------------