%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:13:32 EDT 2024

% Result   : Unsatisfiable 55.78s 7.39s
% Output   : CNFRefutation 55.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   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   :   24 (  24   !;   0   ?)

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

fof(f2,axiom,
    ! [X,Y,Z] : apply(apply(apply(q1,X),Y),Z) = apply(X,apply(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] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1,X2] : apply(apply(apply(q1,X0),X1),X2) = apply(X0,apply(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(X0,apply(apply(X1,apply(apply(q1,X0),X2)),X2)) = apply(apply(o,X1),apply(apply(q1,X0),X2)),
    inference(paramodulation,[status(thm)],[f4,f5]) ).

fof(f231,plain,
    ! [X0,X1,X2] : apply(apply(o,apply(q1,X0)),apply(apply(q1,X1),X2)) = apply(X1,apply(X0,apply(X2,apply(apply(q1,X1),X2)))),
    inference(paramodulation,[status(thm)],[f5,f9]) ).

fof(f268,plain,
    ! [X0,X1] : apply(apply(X0,apply(apply(q1,combinator),X1)),X1) != apply(apply(o,X0),apply(apply(q1,combinator),X1)),
    inference(paramodulation,[status(thm)],[f9,f6]) ).

fof(f365,plain,
    ! [X0,X1] : apply(apply(o,apply(q1,X0)),apply(apply(q1,combinator),X1)) != apply(X0,apply(X1,apply(apply(q1,combinator),X1))),
    inference(paramodulation,[status(thm)],[f5,f268]) ).

fof(f420,plain,
    ! [X0] : apply(apply(o,apply(q1,apply(apply(q1,combinator),X0))),apply(apply(q1,combinator),X0)) != apply(apply(o,X0),apply(apply(q1,combinator),X0)),
    inference(paramodulation,[status(thm)],[f4,f365]) ).

fof(f37810,plain,
    ! [X0] : apply(apply(o,apply(X0,apply(apply(q1,q1),X0))),apply(apply(q1,combinator),apply(X0,apply(apply(q1,q1),X0)))) != apply(apply(o,apply(apply(o,apply(q1,apply(q1,combinator))),apply(apply(q1,q1),X0))),apply(apply(q1,combinator),apply(X0,apply(apply(q1,q1),X0)))),
    inference(paramodulation,[status(thm)],[f231,f420]) ).

fof(f38635,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f37810]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : COL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:21:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 55.78/7.39  % Refutation found
% 55.78/7.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 55.78/7.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 56.11/7.47  % Elapsed time: 7.105122 seconds
% 56.11/7.47  % CPU time: 55.777104 seconds
% 56.11/7.47  % Total memory used: 915.100 MB
% 56.11/7.47  % Net memory used: 907.285 MB
%------------------------------------------------------------------------------