%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:28:28 EDT 2024

% Result   : Unsatisfiable 0.10s 0.37s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

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

fof(f10,axiom,
    tt = f(t,t),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    tk = f(t,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    f(t,tsk) != f(tt_ts,tk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f32,plain,
    tt = f(t,t),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f34,plain,
    ts = f(t,s),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f35,plain,
    tt_ts = f(tt,ts),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f38,plain,
    tk = f(t,k),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f40,plain,
    tsk = f(ts,k),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f42,plain,
    f(t,tsk) != f(tt_ts,tk),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f49,plain,
    ! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
    inference(paramodulation,[status(thm)],[f38,f21]) ).

fof(f154,plain,
    f(t,tsk) = f(f(t,ts),tk),
    inference(paramodulation,[status(thm)],[f40,f49]) ).

fof(f274,plain,
    ! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
    inference(paramodulation,[status(thm)],[f32,f21]) ).

fof(f941,plain,
    f(t,ts) = f(tt,f(t,s)),
    inference(paramodulation,[status(thm)],[f34,f274]) ).

fof(f942,plain,
    f(t,ts) = f(tt,ts),
    inference(forward_demodulation,[status(thm)],[f34,f941]) ).

fof(f943,plain,
    f(t,ts) = tt_ts,
    inference(forward_demodulation,[status(thm)],[f35,f942]) ).

fof(f1007,plain,
    f(t,tsk) = f(tt_ts,tk),
    inference(backward_demodulation,[status(thm)],[f943,f154]) ).

fof(f1008,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1007,f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.09/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n017.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 21:48:03 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.33  % Drodi V3.6.0
% 0.10/0.37  % Refutation found
% 0.10/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.40  % Elapsed time: 0.054620 seconds
% 0.10/0.40  % CPU time: 0.285098 seconds
% 0.10/0.40  % Total memory used: 62.421 MB
% 0.10/0.40  % Net memory used: 62.288 MB
%------------------------------------------------------------------------------