TSTP Solution File: SET046-5 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET046-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:38:50 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET046-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n014.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 21:35:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37  fof(f1,negated_conjecture,(
% 0.13/0.37    (![X,Y]: (( ~ element(X,a)| ~ element(X,Y)| ~ element(Y,X) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f2,negated_conjecture,(
% 0.13/0.37    (![X]: (( element(X,f(X))| element(X,a) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f3,negated_conjecture,(
% 0.13/0.37    (![X]: (( element(f(X),X)| element(X,a) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f4,plain,(
% 0.13/0.37    ![X0,X1]: (~element(X0,a)|~element(X0,X1)|~element(X1,X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37  fof(f5,plain,(
% 0.13/0.37    ![X0]: (element(X0,f(X0))|element(X0,a))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.37  fof(f6,plain,(
% 0.13/0.37    ![X0]: (element(f(X0),X0)|element(X0,a))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.37  fof(f7,plain,(
% 0.13/0.37    spl0_0 <=> element(a,a)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f8,plain,(
% 0.13/0.37    element(a,a)|~spl0_0),
% 0.13/0.37    inference(component_clause,[status(thm)],[f7])).
% 0.13/0.37  fof(f10,plain,(
% 0.13/0.37    spl0_1 <=> ~element(f(a),X0)|~element(X0,f(a))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f11,plain,(
% 0.13/0.37    ![X0]: (~element(f(a),X0)|~element(X0,f(a))|~spl0_1)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f10])).
% 0.13/0.37  fof(f13,plain,(
% 0.13/0.37    ![X0]: (element(a,a)|~element(f(a),X0)|~element(X0,f(a)))),
% 0.13/0.37    inference(resolution,[status(thm)],[f6,f4])).
% 0.13/0.37  fof(f14,plain,(
% 0.13/0.37    spl0_0|spl0_1),
% 0.13/0.37    inference(split_clause,[status(thm)],[f13,f7,f10])).
% 0.13/0.37  fof(f15,plain,(
% 0.13/0.37    ![X0]: (~element(a,X0)|~element(X0,a)|~spl0_0)),
% 0.13/0.37    inference(resolution,[status(thm)],[f8,f4])).
% 0.13/0.37  fof(f16,plain,(
% 0.13/0.37    ~element(a,a)|~spl0_0),
% 0.13/0.37    inference(resolution,[status(thm)],[f15,f8])).
% 0.13/0.37  fof(f17,plain,(
% 0.13/0.37    $false|~spl0_0),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f16,f8])).
% 0.13/0.37  fof(f18,plain,(
% 0.13/0.37    ~spl0_0),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f17])).
% 0.13/0.37  fof(f19,plain,(
% 0.13/0.37    spl0_2 <=> element(a,f(a))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f21,plain,(
% 0.13/0.37    ~element(a,f(a))|spl0_2),
% 0.13/0.37    inference(component_clause,[status(thm)],[f19])).
% 0.13/0.37  fof(f22,plain,(
% 0.13/0.37    ~element(a,f(a))|element(a,a)|~spl0_1),
% 0.13/0.37    inference(resolution,[status(thm)],[f11,f6])).
% 0.13/0.37  fof(f23,plain,(
% 0.13/0.37    ~spl0_2|spl0_0|~spl0_1),
% 0.13/0.37    inference(split_clause,[status(thm)],[f22,f19,f7,f10])).
% 0.13/0.37  fof(f32,plain,(
% 0.13/0.37    element(a,a)|spl0_2),
% 0.13/0.37    inference(resolution,[status(thm)],[f21,f5])).
% 0.13/0.37  fof(f33,plain,(
% 0.13/0.37    spl0_0|spl0_2),
% 0.13/0.37    inference(split_clause,[status(thm)],[f32,f7,f19])).
% 0.13/0.37  fof(f34,plain,(
% 0.13/0.37    $false),
% 0.13/0.37    inference(sat_refutation,[status(thm)],[f14,f18,f23,f33])).
% 0.13/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38  % Elapsed time: 0.016293 seconds
% 0.13/0.38  % CPU time: 0.025939 seconds
% 0.13/0.38  % Total memory used: 1.874 MB
% 0.13/0.38  % Net memory used: 1.794 MB
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