%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL057-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:13:41 EDT 2024

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

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

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

fof(f4,axiom,
    ! [X] : apply(i,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [Y] : apply(Y,f(Y)) != apply(f(Y),apply(Y,f(Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1,X2] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0] : apply(i,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f144,plain,
    ! [X0,X1] : apply(apply(apply(s,i),X0),X1) = apply(X1,apply(X0,X1)),
    inference(paramodulation,[status(thm)],[f9,f6]) ).

fof(f149,plain,
    ! [X0,X1] : apply(apply(apply(s,X0),i),X1) = apply(apply(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f9,f6]) ).

fof(f220,plain,
    ! [X0] : apply(X0,f(X0)) != apply(apply(apply(s,i),X0),f(X0)),
    inference(paramodulation,[status(thm)],[f144,f10]) ).

fof(f270,plain,
    ! [X0,X1] : apply(apply(apply(s,apply(b,X0)),i),X1) = apply(X0,apply(X1,X1)),
    inference(paramodulation,[status(thm)],[f7,f149]) ).

fof(f562,plain,
    ! [X0] : apply(apply(X0,X0),f(apply(X0,X0))) != apply(apply(apply(apply(s,apply(b,apply(s,i))),i),X0),f(apply(X0,X0))),
    inference(paramodulation,[status(thm)],[f270,f220]) ).

fof(f610,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f562]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COL057-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n013.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 22:20:04 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.41  % Refutation found
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41  % Elapsed time: 0.058767 seconds
% 0.20/0.41  % CPU time: 0.379271 seconds
% 0.20/0.41  % Total memory used: 24.861 MB
% 0.20/0.41  % Net memory used: 24.705 MB
%------------------------------------------------------------------------------