%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 20:51:17 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (  14   !;   4   ?)

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

fof(f2,conjecture,
    ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
    inference(negated_conjecture,[status(cth)],[f2]) ).

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

fof(f5,plain,
    ? [X,Y,Z,W] : f(X,f(Y,f(Z,W))) != f(f(f(X,Y),Z),W),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f6,plain,
    f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(f(f(sk0_0,sk0_1),sk0_2),sk0_3),
    inference(skolemization,[status(esa)],[f5]) ).

fof(f7,plain,
    f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(f(f(sk0_0,sk0_1),sk0_2),sk0_3),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(f(sk0_0,f(sk0_1,sk0_2)),sk0_3),
    inference(backward_demodulation,[status(thm)],[f4,f7]) ).

fof(f10,plain,
    f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(sk0_0,f(f(sk0_1,sk0_2),sk0_3)),
    inference(forward_demodulation,[status(thm)],[f4,f8]) ).

fof(f11,plain,
    f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))),
    inference(forward_demodulation,[status(thm)],[f4,f10]) ).

fof(f12,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 01:45:31 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.015090 seconds
% 0.14/0.37  % CPU time: 0.021351 seconds
% 0.14/0.37  % Total memory used: 2.026 MB
% 0.14/0.37  % Net memory used: 1.835 MB
%------------------------------------------------------------------------------