TSTP Solution File: REL049-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:37:37 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : join(A,B) = join(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    join(sk1,sk2) = sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    join(sk3,sk2) = sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    join(join(sk1,sk3),sk2) != sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f18,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f30,plain,
    join(sk1,sk2) = sk2,
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f31,plain,
    join(sk3,sk2) = sk2,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f32,plain,
    join(join(sk1,sk3),sk2) != sk2,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f35,plain,
    join(sk2,sk3) = sk2,
    inference(forward_demodulation,[status(thm)],[f17,f31]) ).

fof(f36,plain,
    join(sk1,join(sk3,sk2)) != sk2,
    inference(forward_demodulation,[status(thm)],[f18,f32]) ).

fof(f37,plain,
    join(sk1,join(sk2,sk3)) != sk2,
    inference(forward_demodulation,[status(thm)],[f17,f36]) ).

fof(f38,plain,
    join(sk1,sk2) != sk2,
    inference(forward_demodulation,[status(thm)],[f35,f37]) ).

fof(f39,plain,
    sk2 != sk2,
    inference(forward_demodulation,[status(thm)],[f30,f38]) ).

fof(f40,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n012.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Mon Apr 29 20:56:57 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37  % Elapsed time: 0.013723 seconds
% 0.11/0.37  % CPU time: 0.020807 seconds
% 0.11/0.37  % Total memory used: 2.480 MB
% 0.11/0.37  % Net memory used: 2.386 MB
%------------------------------------------------------------------------------