TSTP Solution File: GEO051-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 : Wed May 31 12:07:35 EDT 2023

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n019.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
% 0.14/0.34  % DateTime : Tue May 30 12:03:40 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.20/0.56  % Refutation found
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.56  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.56  fof(f54,axiom,(
% 0.20/0.56    (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f77,axiom,(
% 0.20/0.56    (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| U = V| between(U,W,X)| between(U,X,W) ) ))),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f78,hypothesis,(
% 0.20/0.56    between(u,v,w) ),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f79,hypothesis,(
% 0.20/0.56    between(u,v,x) ),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f80,hypothesis,(
% 0.20/0.56    u != v ),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f81,hypothesis,(
% 0.20/0.56    ~ between(v,w,x) ),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f82,negated_conjecture,(
% 0.20/0.56    ~ between(v,x,w) ),
% 0.20/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56  fof(f151,plain,(
% 0.20/0.56    ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 0.20/0.56    inference(miniscoping,[status(esa)],[f54])).
% 0.20/0.56  fof(f152,plain,(
% 0.20/0.56    ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f151])).
% 0.20/0.56  fof(f187,plain,(
% 0.20/0.56    ![U,W,X]: (((![V]: ((~between(U,V,W)|~between(U,V,X))|U=V))|between(U,W,X))|between(U,X,W))),
% 0.20/0.56    inference(miniscoping,[status(esa)],[f77])).
% 0.20/0.56  fof(f188,plain,(
% 0.20/0.56    ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|X0=X1|between(X0,X2,X3)|between(X0,X3,X2))),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f187])).
% 0.20/0.56  fof(f189,plain,(
% 0.20/0.56    between(u,v,w)),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f78])).
% 0.20/0.56  fof(f190,plain,(
% 0.20/0.56    between(u,v,x)),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f79])).
% 0.20/0.56  fof(f191,plain,(
% 0.20/0.56    ~u=v),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f80])).
% 0.20/0.56  fof(f192,plain,(
% 0.20/0.56    ~between(v,w,x)),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f81])).
% 0.20/0.56  fof(f193,plain,(
% 0.20/0.56    ~between(v,x,w)),
% 0.20/0.56    inference(cnf_transformation,[status(esa)],[f82])).
% 0.20/0.56  fof(f223,plain,(
% 0.20/0.56    spl0_5 <=> u=v),
% 0.20/0.56    introduced(split_symbol_definition)).
% 0.20/0.56  fof(f224,plain,(
% 0.20/0.56    u=v|~spl0_5),
% 0.20/0.56    inference(component_clause,[status(thm)],[f223])).
% 0.20/0.56  fof(f258,plain,(
% 0.20/0.56    ![X0]: (~between(u,w,X0)|between(v,w,X0))),
% 0.20/0.56    inference(resolution,[status(thm)],[f152,f189])).
% 0.20/0.56  fof(f354,plain,(
% 0.20/0.56    spl0_19 <=> ~between(u,v,X0)|between(u,x,X0)|between(u,X0,x)),
% 0.20/0.56    introduced(split_symbol_definition)).
% 0.20/0.56  fof(f355,plain,(
% 0.20/0.56    ![X0]: (~between(u,v,X0)|between(u,x,X0)|between(u,X0,x)|~spl0_19)),
% 0.20/0.56    inference(component_clause,[status(thm)],[f354])).
% 0.20/0.56  fof(f357,plain,(
% 0.20/0.56    ![X0]: (~between(u,v,X0)|u=v|between(u,x,X0)|between(u,X0,x))),
% 0.20/0.56    inference(resolution,[status(thm)],[f190,f188])).
% 0.20/0.56  fof(f358,plain,(
% 0.20/0.56    spl0_19|spl0_5),
% 0.20/0.56    inference(split_clause,[status(thm)],[f357,f354,f223])).
% 0.20/0.56  fof(f365,plain,(
% 0.20/0.56    ![X0]: (~between(u,x,X0)|between(v,x,X0))),
% 0.20/0.56    inference(resolution,[status(thm)],[f190,f152])).
% 0.20/0.56  fof(f393,plain,(
% 0.20/0.56    ~u=u|~spl0_5),
% 0.20/0.56    inference(forward_demodulation,[status(thm)],[f224,f191])).
% 0.20/0.56  fof(f394,plain,(
% 0.20/0.56    $false|~spl0_5),
% 0.20/0.56    inference(trivial_equality_resolution,[status(esa)],[f393])).
% 0.20/0.56  fof(f395,plain,(
% 0.20/0.56    ~spl0_5),
% 0.20/0.56    inference(contradiction_clause,[status(thm)],[f394])).
% 0.20/0.56  fof(f453,plain,(
% 0.20/0.56    spl0_23 <=> between(u,x,w)),
% 0.20/0.56    introduced(split_symbol_definition)).
% 0.20/0.56  fof(f454,plain,(
% 0.20/0.56    between(u,x,w)|~spl0_23),
% 0.20/0.56    inference(component_clause,[status(thm)],[f453])).
% 0.20/0.56  fof(f456,plain,(
% 0.20/0.56    spl0_24 <=> between(u,w,x)),
% 0.20/0.56    introduced(split_symbol_definition)).
% 0.20/0.56  fof(f457,plain,(
% 0.20/0.56    between(u,w,x)|~spl0_24),
% 0.20/0.56    inference(component_clause,[status(thm)],[f456])).
% 0.20/0.56  fof(f459,plain,(
% 0.20/0.56    between(u,x,w)|between(u,w,x)|~spl0_19),
% 0.20/0.56    inference(resolution,[status(thm)],[f355,f189])).
% 0.20/0.56  fof(f460,plain,(
% 0.20/0.56    spl0_23|spl0_24|~spl0_19),
% 0.20/0.56    inference(split_clause,[status(thm)],[f459,f453,f456,f354])).
% 0.20/0.56  fof(f918,plain,(
% 0.20/0.56    between(v,w,x)|~spl0_24),
% 0.20/0.56    inference(resolution,[status(thm)],[f258,f457])).
% 0.20/0.56  fof(f919,plain,(
% 0.20/0.56    $false|~spl0_24),
% 0.20/0.56    inference(forward_subsumption_resolution,[status(thm)],[f918,f192])).
% 0.20/0.56  fof(f920,plain,(
% 0.20/0.56    ~spl0_24),
% 0.20/0.56    inference(contradiction_clause,[status(thm)],[f919])).
% 0.20/0.58  fof(f923,plain,(
% 0.20/0.58    between(v,x,w)|~spl0_23),
% 0.20/0.58    inference(resolution,[status(thm)],[f454,f365])).
% 0.20/0.58  fof(f924,plain,(
% 0.20/0.58    $false|~spl0_23),
% 0.20/0.58    inference(forward_subsumption_resolution,[status(thm)],[f923,f193])).
% 0.20/0.58  fof(f925,plain,(
% 0.20/0.58    ~spl0_23),
% 0.20/0.58    inference(contradiction_clause,[status(thm)],[f924])).
% 0.20/0.58  fof(f926,plain,(
% 0.20/0.58    $false),
% 0.20/0.58    inference(sat_refutation,[status(thm)],[f358,f395,f460,f920,f925])).
% 0.20/0.58  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.58  % Elapsed time: 0.232540 seconds
% 0.20/0.58  % CPU time: 1.684881 seconds
% 0.20/0.58  % Memory used: 70.762 MB
%------------------------------------------------------------------------------