TSTP Solution File: GEO046-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO046-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:07:34 EDT 2023

% Result   : Unsatisfiable 0.16s 0.34s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GEO046-3 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n020.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 : Tue May 30 11:57:43 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.34  % Refutation found
% 0.16/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.34  fof(f46,axiom,(
% 0.16/0.34    (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f47,axiom,(
% 0.16/0.34    (![U,V]: (between(U,U,V) ))),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f53,axiom,(
% 0.16/0.34    (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f54,axiom,(
% 0.16/0.34    (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(V,W,X)| between(U,W,X)| V = W ) ))),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f56,hypothesis,(
% 0.16/0.34    between(u,v,x) ),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f57,hypothesis,(
% 0.16/0.34    between(v,w,x) ),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f58,negated_conjecture,(
% 0.16/0.34    ~ between(u,w,x) ),
% 0.16/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34  fof(f114,plain,(
% 0.16/0.34    ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f46])).
% 0.16/0.34  fof(f115,plain,(
% 0.16/0.34    ![X0,X1]: (between(X0,X0,X1))),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f47])).
% 0.16/0.34  fof(f126,plain,(
% 0.16/0.34    ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 0.16/0.34    inference(miniscoping,[status(esa)],[f53])).
% 0.16/0.34  fof(f127,plain,(
% 0.16/0.34    ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f126])).
% 0.16/0.34  fof(f128,plain,(
% 0.16/0.34    ![V,W]: ((![U,X]: ((~between(U,V,W)|~between(V,W,X))|between(U,W,X)))|V=W)),
% 0.16/0.34    inference(miniscoping,[status(esa)],[f54])).
% 0.16/0.34  fof(f129,plain,(
% 0.16/0.34    ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X2,X3)|between(X0,X2,X3)|X1=X2)),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f128])).
% 0.16/0.34  fof(f132,plain,(
% 0.16/0.34    between(u,v,x)),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f56])).
% 0.16/0.34  fof(f133,plain,(
% 0.16/0.34    between(v,w,x)),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f57])).
% 0.16/0.34  fof(f134,plain,(
% 0.16/0.34    ~between(u,w,x)),
% 0.16/0.34    inference(cnf_transformation,[status(esa)],[f58])).
% 0.16/0.34  fof(f140,plain,(
% 0.16/0.34    between(x,w,v)),
% 0.16/0.34    inference(resolution,[status(thm)],[f114,f133])).
% 0.16/0.34  fof(f141,plain,(
% 0.16/0.34    between(x,v,u)),
% 0.16/0.34    inference(resolution,[status(thm)],[f114,f132])).
% 0.16/0.34  fof(f165,plain,(
% 0.16/0.34    spl0_5 <=> w=v),
% 0.16/0.34    introduced(split_symbol_definition)).
% 0.16/0.34  fof(f166,plain,(
% 0.16/0.34    w=v|~spl0_5),
% 0.16/0.34    inference(component_clause,[status(thm)],[f165])).
% 0.16/0.34  fof(f173,plain,(
% 0.16/0.34    spl0_7 <=> v=u),
% 0.16/0.34    introduced(split_symbol_definition)).
% 0.16/0.34  fof(f174,plain,(
% 0.16/0.34    v=u|~spl0_7),
% 0.16/0.34    inference(component_clause,[status(thm)],[f173])).
% 0.16/0.34  fof(f200,plain,(
% 0.16/0.34    ![X0]: (~between(x,X0,v)|between(X0,v,u))),
% 0.16/0.34    inference(resolution,[status(thm)],[f127,f141])).
% 0.16/0.34  fof(f218,plain,(
% 0.16/0.34    spl0_14 <=> ~between(X0,v,w)|between(X0,w,x)),
% 0.16/0.34    introduced(split_symbol_definition)).
% 0.16/0.34  fof(f219,plain,(
% 0.16/0.34    ![X0]: (~between(X0,v,w)|between(X0,w,x)|~spl0_14)),
% 0.16/0.34    inference(component_clause,[status(thm)],[f218])).
% 0.16/0.34  fof(f221,plain,(
% 0.16/0.34    ![X0]: (~between(X0,v,w)|between(X0,w,x)|v=w)),
% 0.16/0.34    inference(resolution,[status(thm)],[f129,f133])).
% 0.16/0.34  fof(f222,plain,(
% 0.16/0.34    spl0_14|spl0_5),
% 0.16/0.34    inference(split_clause,[status(thm)],[f221,f218,f165])).
% 0.16/0.34  fof(f223,plain,(
% 0.16/0.34    spl0_15 <=> ~between(X0,u,v)|between(X0,v,x)),
% 0.16/0.34    introduced(split_symbol_definition)).
% 0.16/0.34  fof(f224,plain,(
% 0.16/0.34    ![X0]: (~between(X0,u,v)|between(X0,v,x)|~spl0_15)),
% 0.16/0.34    inference(component_clause,[status(thm)],[f223])).
% 0.16/0.34  fof(f226,plain,(
% 0.16/0.34    ![X0]: (~between(X0,u,v)|between(X0,v,x)|u=v)),
% 0.16/0.34    inference(resolution,[status(thm)],[f129,f132])).
% 0.16/0.34  fof(f227,plain,(
% 0.16/0.34    spl0_15|spl0_7),
% 0.16/0.34    inference(split_clause,[status(thm)],[f226,f223,f173])).
% 0.16/0.34  fof(f284,plain,(
% 0.16/0.34    between(u,w,x)|~spl0_7),
% 0.16/0.34    inference(backward_demodulation,[status(thm)],[f174,f133])).
% 0.16/0.34  fof(f285,plain,(
% 0.16/0.34    $false|~spl0_7),
% 0.16/0.34    inference(forward_subsumption_resolution,[status(thm)],[f284,f134])).
% 0.16/0.34  fof(f286,plain,(
% 0.16/0.34    ~spl0_7),
% 0.16/0.34    inference(contradiction_clause,[status(thm)],[f285])).
% 0.16/0.34  fof(f287,plain,(
% 0.16/0.34    ~between(u,v,x)|~spl0_5),
% 0.16/0.34    inference(backward_demodulation,[status(thm)],[f166,f134])).
% 0.16/0.34  fof(f311,plain,(
% 0.16/0.34    between(u,v,x)|~spl0_15),
% 0.16/0.34    inference(resolution,[status(thm)],[f224,f115])).
% 0.16/0.39  fof(f336,plain,(
% 0.16/0.39    $false|~spl0_15|~spl0_5),
% 0.16/0.39    inference(forward_subsumption_resolution,[status(thm)],[f287,f311])).
% 0.16/0.39  fof(f337,plain,(
% 0.16/0.39    ~spl0_15|~spl0_5),
% 0.16/0.39    inference(contradiction_clause,[status(thm)],[f336])).
% 0.16/0.39  fof(f967,plain,(
% 0.16/0.39    between(w,v,u)),
% 0.16/0.39    inference(resolution,[status(thm)],[f200,f140])).
% 0.16/0.39  fof(f993,plain,(
% 0.16/0.39    between(u,v,w)),
% 0.16/0.39    inference(resolution,[status(thm)],[f967,f114])).
% 0.16/0.39  fof(f1004,plain,(
% 0.16/0.39    between(u,w,x)|~spl0_14),
% 0.16/0.39    inference(resolution,[status(thm)],[f993,f219])).
% 0.16/0.39  fof(f1005,plain,(
% 0.16/0.39    $false|~spl0_14),
% 0.16/0.39    inference(forward_subsumption_resolution,[status(thm)],[f1004,f134])).
% 0.16/0.39  fof(f1006,plain,(
% 0.16/0.39    ~spl0_14),
% 0.16/0.39    inference(contradiction_clause,[status(thm)],[f1005])).
% 0.16/0.39  fof(f1007,plain,(
% 0.16/0.39    $false),
% 0.16/0.39    inference(sat_refutation,[status(thm)],[f222,f227,f286,f337,f1006])).
% 0.16/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.39  % Elapsed time: 0.076465 seconds
% 0.16/0.39  % CPU time: 0.044885 seconds
% 0.16/0.39  % Memory used: 6.009 MB
%------------------------------------------------------------------------------