TSTP Solution File: FLD065-3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 20:16:34 EDT 2024

% Result   : Unsatisfiable 0.10s 0.33s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 22:52:48 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.10/0.32  % Drodi V3.6.0
% 0.10/0.33  % Refutation found
% 0.10/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.33  fof(f3,axiom,(
% 0.10/0.33    (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.10/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33  fof(f4,axiom,(
% 0.10/0.33    (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.10/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33  fof(f24,axiom,(
% 0.10/0.33    (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.10/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33  fof(f27,hypothesis,(
% 0.10/0.33    defined(a) ),
% 0.10/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33  fof(f28,negated_conjecture,(
% 0.10/0.33    less_or_equal(additive_inverse(a),additive_identity) ),
% 0.10/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33  fof(f29,negated_conjecture,(
% 0.10/0.33    ~ less_or_equal(additive_identity,a) ),
% 0.10/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33  fof(f34,plain,(
% 0.10/0.33    ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.10/0.33    inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.33  fof(f35,plain,(
% 0.10/0.33    ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.10/0.33    inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.33  fof(f65,plain,(
% 0.10/0.33    ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.10/0.33    inference(miniscoping,[status(esa)],[f24])).
% 0.10/0.33  fof(f66,plain,(
% 0.10/0.33    ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.10/0.33    inference(cnf_transformation,[status(esa)],[f65])).
% 0.10/0.33  fof(f69,plain,(
% 0.10/0.33    defined(a)),
% 0.10/0.33    inference(cnf_transformation,[status(esa)],[f27])).
% 0.10/0.33  fof(f70,plain,(
% 0.10/0.33    less_or_equal(additive_inverse(a),additive_identity)),
% 0.10/0.33    inference(cnf_transformation,[status(esa)],[f28])).
% 0.10/0.33  fof(f71,plain,(
% 0.10/0.33    ~less_or_equal(additive_identity,a)),
% 0.10/0.33    inference(cnf_transformation,[status(esa)],[f29])).
% 0.10/0.33  fof(f83,plain,(
% 0.10/0.33    spl0_1 <=> less_or_equal(additive_identity,a)),
% 0.10/0.33    introduced(split_symbol_definition)).
% 0.10/0.33  fof(f84,plain,(
% 0.10/0.33    less_or_equal(additive_identity,a)|~spl0_1),
% 0.10/0.33    inference(component_clause,[status(thm)],[f83])).
% 0.10/0.33  fof(f91,plain,(
% 0.10/0.33    $false|~spl0_1),
% 0.10/0.33    inference(forward_subsumption_resolution,[status(thm)],[f84,f71])).
% 0.10/0.33  fof(f92,plain,(
% 0.10/0.33    ~spl0_1),
% 0.10/0.33    inference(contradiction_clause,[status(thm)],[f91])).
% 0.10/0.33  fof(f99,plain,(
% 0.10/0.33    ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_inverse(a),X2,X0)|~sum(additive_identity,X2,X1))),
% 0.10/0.33    inference(resolution,[status(thm)],[f66,f70])).
% 0.10/0.33  fof(f100,plain,(
% 0.10/0.33    spl0_3 <=> less_or_equal(additive_identity,X0)|~sum(additive_identity,a,X0)),
% 0.10/0.33    introduced(split_symbol_definition)).
% 0.10/0.33  fof(f101,plain,(
% 0.10/0.33    ![X0]: (less_or_equal(additive_identity,X0)|~sum(additive_identity,a,X0)|~spl0_3)),
% 0.10/0.33    inference(component_clause,[status(thm)],[f100])).
% 0.10/0.33  fof(f103,plain,(
% 0.10/0.33    spl0_4 <=> defined(a)),
% 0.10/0.33    introduced(split_symbol_definition)).
% 0.10/0.33  fof(f105,plain,(
% 0.10/0.33    ~defined(a)|spl0_4),
% 0.10/0.33    inference(component_clause,[status(thm)],[f103])).
% 0.10/0.33  fof(f106,plain,(
% 0.10/0.33    ![X0]: (less_or_equal(additive_identity,X0)|~sum(additive_identity,a,X0)|~defined(a))),
% 0.10/0.33    inference(resolution,[status(thm)],[f99,f35])).
% 0.10/0.33  fof(f107,plain,(
% 0.10/0.33    spl0_3|~spl0_4),
% 0.10/0.33    inference(split_clause,[status(thm)],[f106,f100,f103])).
% 0.10/0.33  fof(f108,plain,(
% 0.10/0.33    $false|spl0_4),
% 0.10/0.33    inference(forward_subsumption_resolution,[status(thm)],[f105,f69])).
% 0.10/0.33  fof(f109,plain,(
% 0.10/0.33    spl0_4),
% 0.10/0.33    inference(contradiction_clause,[status(thm)],[f108])).
% 0.10/0.33  fof(f111,plain,(
% 0.10/0.33    less_or_equal(additive_identity,a)|~defined(a)|~spl0_3),
% 0.10/0.33    inference(resolution,[status(thm)],[f101,f34])).
% 0.10/0.33  fof(f112,plain,(
% 0.10/0.33    spl0_1|~spl0_4|~spl0_3),
% 0.10/0.33    inference(split_clause,[status(thm)],[f111,f83,f103,f100])).
% 0.10/0.33  fof(f113,plain,(
% 0.10/0.33    $false),
% 0.10/0.33    inference(sat_refutation,[status(thm)],[f92,f107,f109,f112])).
% 0.10/0.33  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.34  % Elapsed time: 0.022145 seconds
% 0.10/0.34  % CPU time: 0.100052 seconds
% 0.10/0.34  % Total memory used: 5.935 MB
% 0.10/0.34  % Net memory used: 5.784 MB
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