TSTP Solution File: GEO342+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 12:08:47 EDT 2023

% Result   : Theorem 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 12:18:33 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 0.19/0.40  % Refutation found
% 0.19/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.40  fof(f1,conjecture,(
% 0.19/0.40    (? [Vd1416] :( ron(vd1399,Vd1416)& ron(vd1401,Vd1416)& rline(Vd1416) ) )),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f2,negated_conjecture,(
% 0.19/0.40    ~((? [Vd1416] :( ron(vd1399,Vd1416)& ron(vd1401,Vd1416)& rline(Vd1416) ) ))),
% 0.19/0.40    inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.40  fof(f4,axiom,(
% 0.19/0.40    vd1409 != vd1401 ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f9,axiom,(
% 0.19/0.40    ( vd1406 = vd1407& ron(vd1400,vd1406)& ron(vd1399,vd1406)& rline(vd1407)& vd1400 != vd1401& vd1399 != vd1401& vd1399 != vd1400& (? [Vd1405] :( vd1401 = Vd1405& rpoint(Vd1405) ))& (? [Vd1404] :( vd1400 = Vd1404& rpoint(Vd1404) ))& (? [Vd1403] :( vd1399 = Vd1403& rpoint(Vd1403) ) )) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f36,axiom,(
% 0.19/0.40    (! [Vd217,Vd218] :( ( Vd217 != Vd218& (? [Vd221] :( Vd218 = Vd221& rpoint(Vd221) ))& (? [Vd220] :( Vd217 = Vd220& rpoint(Vd220) ) ))=> (? [Vd223] :( ron(Vd218,Vd223)& ron(Vd217,Vd223)& rline(Vd223) ) )) )),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f126,plain,(
% 0.19/0.40    (![Vd1416]: ((~ron(vd1399,Vd1416)|~ron(vd1401,Vd1416))|~rline(Vd1416)))),
% 0.19/0.40    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.40  fof(f127,plain,(
% 0.19/0.40    ![X0]: (~ron(vd1399,X0)|~ron(vd1401,X0)|~rline(X0))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f126])).
% 0.19/0.40  fof(f129,plain,(
% 0.19/0.40    ~vd1409=vd1401),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.40  fof(f134,plain,(
% 0.19/0.40    ((((((((vd1406=vd1407&ron(vd1400,vd1406))&ron(vd1399,vd1406))&rline(vd1407))&~vd1400=vd1401)&~vd1399=vd1401)&~vd1399=vd1400)&(vd1401=sk0_0&rpoint(sk0_0)))&(vd1400=sk0_1&rpoint(sk0_1)))&(vd1399=sk0_2&rpoint(sk0_2))),
% 0.19/0.40    inference(skolemization,[status(esa)],[f9])).
% 0.19/0.40  fof(f140,plain,(
% 0.19/0.40    ~vd1399=vd1401),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f134])).
% 0.19/0.40  fof(f142,plain,(
% 0.19/0.40    vd1401=sk0_0),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f134])).
% 0.19/0.40  fof(f143,plain,(
% 0.19/0.40    rpoint(sk0_0)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f134])).
% 0.19/0.40  fof(f146,plain,(
% 0.19/0.40    vd1399=sk0_2),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f134])).
% 0.19/0.40  fof(f147,plain,(
% 0.19/0.40    rpoint(sk0_2)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f134])).
% 0.19/0.40  fof(f232,plain,(
% 0.19/0.40    ![Vd217,Vd218]: (((Vd217=Vd218|(![Vd221]: (~Vd218=Vd221|~rpoint(Vd221))))|(![Vd220]: (~Vd217=Vd220|~rpoint(Vd220))))|(?[Vd223]: ((ron(Vd218,Vd223)&ron(Vd217,Vd223))&rline(Vd223))))),
% 0.19/0.40    inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.19/0.40  fof(f233,plain,(
% 0.19/0.40    ![Vd217,Vd218]: (((Vd217=Vd218|(![Vd221]: (~Vd218=Vd221|~rpoint(Vd221))))|(![Vd220]: (~Vd217=Vd220|~rpoint(Vd220))))|((ron(Vd218,sk0_7(Vd218,Vd217))&ron(Vd217,sk0_7(Vd218,Vd217)))&rline(sk0_7(Vd218,Vd217))))),
% 0.19/0.40    inference(skolemization,[status(esa)],[f232])).
% 0.19/0.40  fof(f234,plain,(
% 0.19/0.40    ![X0,X1,X2,X3]: (X0=X1|~X1=X2|~rpoint(X2)|~X0=X3|~rpoint(X3)|ron(X1,sk0_7(X1,X0)))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f233])).
% 0.19/0.40  fof(f235,plain,(
% 0.19/0.40    ![X0,X1,X2,X3]: (X0=X1|~X1=X2|~rpoint(X2)|~X0=X3|~rpoint(X3)|ron(X0,sk0_7(X1,X0)))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f233])).
% 0.19/0.40  fof(f236,plain,(
% 0.19/0.40    ![X0,X1,X2,X3]: (X0=X1|~X1=X2|~rpoint(X2)|~X0=X3|~rpoint(X3)|rline(sk0_7(X1,X0)))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f233])).
% 0.19/0.40  fof(f741,plain,(
% 0.19/0.40    ![X0,X1]: (X0=X1|~rpoint(X1)|~rpoint(X0)|ron(X1,sk0_7(X1,X0)))),
% 0.19/0.40    inference(destructive_equality_resolution,[status(esa)],[f234])).
% 0.19/0.40  fof(f742,plain,(
% 0.19/0.40    ![X0,X1]: (X0=X1|~rpoint(X1)|~rpoint(X0)|ron(X0,sk0_7(X1,X0)))),
% 0.19/0.40    inference(destructive_equality_resolution,[status(esa)],[f235])).
% 0.19/0.40  fof(f743,plain,(
% 0.19/0.40    ![X0,X1]: (X0=X1|~rpoint(X1)|~rpoint(X0)|rline(sk0_7(X1,X0)))),
% 0.19/0.40    inference(destructive_equality_resolution,[status(esa)],[f236])).
% 0.19/0.40  fof(f931,plain,(
% 0.19/0.40    rpoint(vd1401)),
% 0.19/0.40    inference(forward_demodulation,[status(thm)],[f142,f143])).
% 0.19/0.40  fof(f933,plain,(
% 0.19/0.40    rpoint(vd1399)),
% 0.19/0.40    inference(forward_demodulation,[status(thm)],[f146,f147])).
% 0.19/0.40  fof(f977,plain,(
% 0.19/0.40    spl0_16 <=> rpoint(vd1399)),
% 0.19/0.40    introduced(split_symbol_definition)).
% 0.19/0.40  fof(f979,plain,(
% 0.19/0.40    ~rpoint(vd1399)|spl0_16),
% 0.19/0.42    inference(component_clause,[status(thm)],[f977])).
% 0.19/0.42  fof(f995,plain,(
% 0.19/0.42    $false|spl0_16),
% 0.19/0.42    inference(forward_subsumption_resolution,[status(thm)],[f979,f933])).
% 0.19/0.42  fof(f996,plain,(
% 0.19/0.42    spl0_16),
% 0.19/0.42    inference(contradiction_clause,[status(thm)],[f995])).
% 0.19/0.42  fof(f997,plain,(
% 0.19/0.42    spl0_18 <=> vd1401=vd1409),
% 0.19/0.42    introduced(split_symbol_definition)).
% 0.19/0.42  fof(f998,plain,(
% 0.19/0.42    vd1401=vd1409|~spl0_18),
% 0.19/0.42    inference(component_clause,[status(thm)],[f997])).
% 0.19/0.42  fof(f1003,plain,(
% 0.19/0.42    spl0_20 <=> vd1399=vd1401),
% 0.19/0.42    introduced(split_symbol_definition)).
% 0.19/0.42  fof(f1004,plain,(
% 0.19/0.42    vd1399=vd1401|~spl0_20),
% 0.19/0.42    inference(component_clause,[status(thm)],[f1003])).
% 0.19/0.42  fof(f1009,plain,(
% 0.19/0.42    spl0_22 <=> rpoint(vd1401)),
% 0.19/0.42    introduced(split_symbol_definition)).
% 0.19/0.42  fof(f1011,plain,(
% 0.19/0.42    ~rpoint(vd1401)|spl0_22),
% 0.19/0.42    inference(component_clause,[status(thm)],[f1009])).
% 0.19/0.42  fof(f1032,plain,(
% 0.19/0.42    $false|spl0_22),
% 0.19/0.42    inference(forward_subsumption_resolution,[status(thm)],[f1011,f931])).
% 0.19/0.42  fof(f1033,plain,(
% 0.19/0.42    spl0_22),
% 0.19/0.42    inference(contradiction_clause,[status(thm)],[f1032])).
% 0.19/0.42  fof(f1146,plain,(
% 0.19/0.42    $false|~spl0_20),
% 0.19/0.42    inference(forward_subsumption_resolution,[status(thm)],[f1004,f140])).
% 0.19/0.42  fof(f1147,plain,(
% 0.19/0.42    ~spl0_20),
% 0.19/0.42    inference(contradiction_clause,[status(thm)],[f1146])).
% 0.19/0.42  fof(f1169,plain,(
% 0.19/0.42    ~vd1401=vd1401|~spl0_18),
% 0.19/0.42    inference(forward_demodulation,[status(thm)],[f998,f129])).
% 0.19/0.42  fof(f1170,plain,(
% 0.19/0.42    $false|~spl0_18),
% 0.19/0.42    inference(trivial_equality_resolution,[status(esa)],[f1169])).
% 0.19/0.42  fof(f1171,plain,(
% 0.19/0.42    ~spl0_18),
% 0.19/0.42    inference(contradiction_clause,[status(thm)],[f1170])).
% 0.19/0.42  fof(f1431,plain,(
% 0.19/0.42    spl0_61 <=> X0=vd1401|~rpoint(X0)|~ron(vd1399,sk0_7(vd1401,X0))|~rline(sk0_7(vd1401,X0))),
% 0.19/0.42    introduced(split_symbol_definition)).
% 0.19/0.42  fof(f1432,plain,(
% 0.19/0.42    ![X0]: (X0=vd1401|~rpoint(X0)|~ron(vd1399,sk0_7(vd1401,X0))|~rline(sk0_7(vd1401,X0))|~spl0_61)),
% 0.19/0.42    inference(component_clause,[status(thm)],[f1431])).
% 0.19/0.42  fof(f1434,plain,(
% 0.19/0.42    ![X0]: (X0=vd1401|~rpoint(vd1401)|~rpoint(X0)|~ron(vd1399,sk0_7(vd1401,X0))|~rline(sk0_7(vd1401,X0)))),
% 0.19/0.42    inference(resolution,[status(thm)],[f741,f127])).
% 0.19/0.42  fof(f1435,plain,(
% 0.19/0.42    spl0_61|~spl0_22),
% 0.19/0.42    inference(split_clause,[status(thm)],[f1434,f1431,f1009])).
% 0.19/0.42  fof(f1495,plain,(
% 0.19/0.42    spl0_69 <=> rline(sk0_7(vd1401,vd1399))),
% 0.19/0.42    introduced(split_symbol_definition)).
% 0.19/0.42  fof(f1497,plain,(
% 0.19/0.42    ~rline(sk0_7(vd1401,vd1399))|spl0_69),
% 0.19/0.42    inference(component_clause,[status(thm)],[f1495])).
% 0.19/0.42  fof(f1498,plain,(
% 0.19/0.42    vd1399=vd1401|~rpoint(vd1399)|~rline(sk0_7(vd1401,vd1399))|vd1399=vd1401|~rpoint(vd1401)|~rpoint(vd1399)|~spl0_61),
% 0.19/0.42    inference(resolution,[status(thm)],[f1432,f742])).
% 0.19/0.42  fof(f1499,plain,(
% 0.19/0.42    spl0_20|~spl0_16|~spl0_69|~spl0_22|~spl0_61),
% 0.19/0.42    inference(split_clause,[status(thm)],[f1498,f1003,f977,f1495,f1009,f1431])).
% 0.19/0.42  fof(f1500,plain,(
% 0.19/0.42    vd1399=vd1401|~rpoint(vd1401)|~rpoint(vd1399)|spl0_69),
% 0.19/0.42    inference(resolution,[status(thm)],[f1497,f743])).
% 0.19/0.42  fof(f1501,plain,(
% 0.19/0.42    spl0_20|~spl0_22|~spl0_16|spl0_69),
% 0.19/0.42    inference(split_clause,[status(thm)],[f1500,f1003,f1009,f977,f1495])).
% 0.19/0.42  fof(f1502,plain,(
% 0.19/0.42    $false),
% 0.19/0.42    inference(sat_refutation,[status(thm)],[f996,f1033,f1147,f1171,f1435,f1499,f1501])).
% 0.19/0.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.42  % Elapsed time: 0.074540 seconds
% 0.19/0.42  % CPU time: 0.307615 seconds
% 0.19/0.42  % Memory used: 30.480 MB
%------------------------------------------------------------------------------