TSTP Solution File: GEO032-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO032-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:07:30 EDT 2023

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO032-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n013.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 11:56:50 EDT 2023
% 0.21/0.34  % CPUTime  : 
% 0.21/0.35  % Drodi V3.5.1
% 0.21/0.52  % Refutation found
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.52  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.52  fof(f36,axiom,(
% 0.21/0.52    (![U,V]: (equidistant(U,U,V,V) ))),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f66,axiom,(
% 0.21/0.52    (![U,V,U1,V1,W,W1,X,X1]: (( ~ equidistant(U,V,U1,V1)| ~ equidistant(U,W,U1,W1)| ~ equidistant(U,X,U1,X1)| ~ equidistant(W,X,W1,X1)| ~ between(U,V,W)| ~ between(U1,V1,W1)| equidistant(V,X,V1,X1) ) ))),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f67,hypothesis,(
% 0.21/0.52    between(u,v,w) ),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f68,hypothesis,(
% 0.21/0.52    between(u1,v1,w1) ),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f69,hypothesis,(
% 0.21/0.52    equidistant(u,v,u1,v1) ),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f70,hypothesis,(
% 0.21/0.52    equidistant(u,w,u1,w1) ),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f71,negated_conjecture,(
% 0.21/0.52    ~ equidistant(v,w,v1,w1) ),
% 0.21/0.52    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52  fof(f113,plain,(
% 0.21/0.52    ![X0,X1]: (equidistant(X0,X0,X1,X1))),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f36])).
% 0.21/0.52  fof(f158,plain,(
% 0.21/0.52    ![V,V1,X,X1]: ((![U1,W1]: ((![U,W]: ((((~equidistant(U,V,U1,V1)|~equidistant(U,W,U1,W1))|~equidistant(U,X,U1,X1))|~equidistant(W,X,W1,X1))|~between(U,V,W)))|~between(U1,V1,W1)))|equidistant(V,X,V1,X1))),
% 0.21/0.52    inference(miniscoping,[status(esa)],[f66])).
% 0.21/0.52  fof(f159,plain,(
% 0.21/0.52    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X4,X2,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X4,X6,X5,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|equidistant(X1,X6,X3,X7))),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f158])).
% 0.21/0.52  fof(f160,plain,(
% 0.21/0.52    between(u,v,w)),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f67])).
% 0.21/0.52  fof(f161,plain,(
% 0.21/0.52    between(u1,v1,w1)),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f68])).
% 0.21/0.52  fof(f162,plain,(
% 0.21/0.52    equidistant(u,v,u1,v1)),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f69])).
% 0.21/0.52  fof(f163,plain,(
% 0.21/0.52    equidistant(u,w,u1,w1)),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f70])).
% 0.21/0.52  fof(f164,plain,(
% 0.21/0.52    ~equidistant(v,w,v1,w1)),
% 0.21/0.52    inference(cnf_transformation,[status(esa)],[f71])).
% 0.21/0.52  fof(f261,plain,(
% 0.21/0.52    spl0_18 <=> equidistant(w,w,w1,w1)),
% 0.21/0.52    introduced(split_symbol_definition)).
% 0.21/0.52  fof(f263,plain,(
% 0.21/0.52    ~equidistant(w,w,w1,w1)|spl0_18),
% 0.21/0.52    inference(component_clause,[status(thm)],[f261])).
% 0.21/0.52  fof(f1130,plain,(
% 0.21/0.52    spl0_49 <=> ~equidistant(u,X0,u1,X1)|~between(u,X0,w)|~between(u1,X1,w1)|equidistant(X0,w,X1,w1)),
% 0.21/0.52    introduced(split_symbol_definition)).
% 0.21/0.52  fof(f1131,plain,(
% 0.21/0.52    ![X0,X1]: (~equidistant(u,X0,u1,X1)|~between(u,X0,w)|~between(u1,X1,w1)|equidistant(X0,w,X1,w1)|~spl0_49)),
% 0.21/0.52    inference(component_clause,[status(thm)],[f1130])).
% 0.21/0.52  fof(f1133,plain,(
% 0.21/0.52    ![X0,X1]: (~equidistant(u,X0,u1,X1)|~equidistant(w,w,w1,w1)|~between(u,X0,w)|~between(u1,X1,w1)|equidistant(X0,w,X1,w1))),
% 0.21/0.52    inference(resolution,[status(thm)],[f159,f163])).
% 0.21/0.52  fof(f1134,plain,(
% 0.21/0.52    spl0_49|~spl0_18),
% 0.21/0.52    inference(split_clause,[status(thm)],[f1133,f1130,f261])).
% 0.21/0.52  fof(f1396,plain,(
% 0.21/0.52    $false|spl0_18),
% 0.21/0.52    inference(forward_subsumption_resolution,[status(thm)],[f263,f113])).
% 0.21/0.52  fof(f1397,plain,(
% 0.21/0.52    spl0_18),
% 0.21/0.52    inference(contradiction_clause,[status(thm)],[f1396])).
% 0.21/0.52  fof(f1513,plain,(
% 0.21/0.52    spl0_93 <=> equidistant(v,w,v1,w1)),
% 0.21/0.52    introduced(split_symbol_definition)).
% 0.21/0.52  fof(f1514,plain,(
% 0.21/0.52    equidistant(v,w,v1,w1)|~spl0_93),
% 0.21/0.52    inference(component_clause,[status(thm)],[f1513])).
% 0.21/0.52  fof(f1689,plain,(
% 0.21/0.52    spl0_129 <=> between(u,v,w)),
% 0.21/0.52    introduced(split_symbol_definition)).
% 0.21/0.52  fof(f1691,plain,(
% 0.21/0.52    ~between(u,v,w)|spl0_129),
% 0.21/0.52    inference(component_clause,[status(thm)],[f1689])).
% 0.21/0.52  fof(f1692,plain,(
% 0.21/0.52    spl0_130 <=> between(u1,v1,w1)),
% 0.21/0.52    introduced(split_symbol_definition)).
% 0.21/0.52  fof(f1694,plain,(
% 0.21/0.52    ~between(u1,v1,w1)|spl0_130),
% 0.21/0.52    inference(component_clause,[status(thm)],[f1692])).
% 0.21/0.52  fof(f1695,plain,(
% 0.21/0.52    ~between(u,v,w)|~between(u1,v1,w1)|equidistant(v,w,v1,w1)|~spl0_49),
% 0.21/0.52    inference(resolution,[status(thm)],[f1131,f162])).
% 0.21/0.52  fof(f1696,plain,(
% 0.21/0.52    ~spl0_129|~spl0_130|spl0_93|~spl0_49),
% 0.21/0.52    inference(split_clause,[status(thm)],[f1695,f1689,f1692,f1513,f1130])).
% 0.21/0.53  fof(f1721,plain,(
% 0.21/0.53    $false|spl0_130),
% 0.21/0.53    inference(forward_subsumption_resolution,[status(thm)],[f1694,f161])).
% 0.21/0.53  fof(f1722,plain,(
% 0.21/0.53    spl0_130),
% 0.21/0.53    inference(contradiction_clause,[status(thm)],[f1721])).
% 0.21/0.53  fof(f1723,plain,(
% 0.21/0.53    $false|spl0_129),
% 0.21/0.53    inference(forward_subsumption_resolution,[status(thm)],[f1691,f160])).
% 0.21/0.53  fof(f1724,plain,(
% 0.21/0.53    spl0_129),
% 0.21/0.53    inference(contradiction_clause,[status(thm)],[f1723])).
% 0.21/0.53  fof(f1727,plain,(
% 0.21/0.53    $false|~spl0_93),
% 0.21/0.53    inference(forward_subsumption_resolution,[status(thm)],[f1514,f164])).
% 0.21/0.53  fof(f1728,plain,(
% 0.21/0.53    ~spl0_93),
% 0.21/0.53    inference(contradiction_clause,[status(thm)],[f1727])).
% 0.21/0.53  fof(f1729,plain,(
% 0.21/0.53    $false),
% 0.21/0.53    inference(sat_refutation,[status(thm)],[f1134,f1397,f1696,f1722,f1724,f1728])).
% 0.21/0.53  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.53  % Elapsed time: 0.179190 seconds
% 0.21/0.53  % CPU time: 1.305315 seconds
% 0.21/0.53  % Memory used: 65.036 MB
%------------------------------------------------------------------------------