TSTP Solution File: GEO343+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO343+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 : Tue Apr 30 20:17:58 EDT 2024

% Result   : Theorem 0.11s 0.36s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Apr 30 01:57:47 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 0.11/0.36  % Refutation found
% 0.11/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36  fof(f1,conjecture,(
% 0.11/0.36    (! [Vdthex] :( ( ron(vd1399,Vdthex)& ron(vd1401,Vdthex)& rline(Vdthex) )=> Vdthex = vd1416 ) )),
% 0.11/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f2,negated_conjecture,(
% 0.11/0.36    ~((! [Vdthex] :( ( ron(vd1399,Vdthex)& ron(vd1401,Vdthex)& rline(Vdthex) )=> Vdthex = vd1416 ) ))),
% 0.11/0.36    inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.36  fof(f3,axiom,(
% 0.11/0.36    ( ron(vd1399,vd1416)& ron(vd1401,vd1416)& rline(vd1416) ) ),
% 0.11/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f5,axiom,(
% 0.11/0.36    ( 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) ) )) ),
% 0.11/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f50,axiom,(
% 0.11/0.36    (! [Vd314,Vd315,Vd319,Vd320] :( ( ron(Vd315,Vd320)& ron(Vd315,Vd319)& ron(Vd314,Vd320)& ron(Vd314,Vd319)& (? [Vd324] :( Vd320 = Vd324& rline(Vd324) ))& (? [Vd323] :( Vd319 = Vd323& rline(Vd323) ))& Vd314 != Vd315& (? [Vd318] :( Vd315 = Vd318& rpoint(Vd318) ))& (? [Vd317] :( Vd314 = Vd317& rpoint(Vd317) ) ))=> Vd319 = Vd320 ) )),
% 0.11/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f127,plain,(
% 0.11/0.36    (?[Vdthex]: (((ron(vd1399,Vdthex)&ron(vd1401,Vdthex))&rline(Vdthex))&~Vdthex=vd1416))),
% 0.11/0.36    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.11/0.36  fof(f128,plain,(
% 0.11/0.36    (((ron(vd1399,sk0_0)&ron(vd1401,sk0_0))&rline(sk0_0))&~sk0_0=vd1416)),
% 0.11/0.36    inference(skolemization,[status(esa)],[f127])).
% 0.11/0.36  fof(f129,plain,(
% 0.11/0.36    ron(vd1399,sk0_0)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f128])).
% 0.11/0.36  fof(f130,plain,(
% 0.11/0.36    ron(vd1401,sk0_0)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f128])).
% 0.11/0.36  fof(f131,plain,(
% 0.11/0.36    rline(sk0_0)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f128])).
% 0.11/0.36  fof(f132,plain,(
% 0.11/0.36    ~sk0_0=vd1416),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f128])).
% 0.11/0.36  fof(f133,plain,(
% 0.11/0.36    ron(vd1399,vd1416)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.36  fof(f134,plain,(
% 0.11/0.36    ron(vd1401,vd1416)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.36  fof(f135,plain,(
% 0.11/0.36    rline(vd1416)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.36  fof(f137,plain,(
% 0.11/0.36    ((((((((vd1406=vd1407&ron(vd1400,vd1406))&ron(vd1399,vd1406))&rline(vd1407))&~vd1400=vd1401)&~vd1399=vd1401)&~vd1399=vd1400)&(vd1401=sk0_1&rpoint(sk0_1)))&(vd1400=sk0_2&rpoint(sk0_2)))&(vd1399=sk0_3&rpoint(sk0_3))),
% 0.11/0.36    inference(skolemization,[status(esa)],[f5])).
% 0.11/0.36  fof(f143,plain,(
% 0.11/0.36    ~vd1399=vd1401),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f137])).
% 0.11/0.36  fof(f145,plain,(
% 0.11/0.36    vd1401=sk0_1),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f137])).
% 0.11/0.36  fof(f146,plain,(
% 0.11/0.36    rpoint(sk0_1)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f137])).
% 0.11/0.36  fof(f149,plain,(
% 0.11/0.36    vd1399=sk0_3),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f137])).
% 0.11/0.36  fof(f150,plain,(
% 0.11/0.36    rpoint(sk0_3)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f137])).
% 0.11/0.36  fof(f300,plain,(
% 0.11/0.36    ![Vd314,Vd315,Vd319,Vd320]: (((((((((~ron(Vd315,Vd320)|~ron(Vd315,Vd319))|~ron(Vd314,Vd320))|~ron(Vd314,Vd319))|(![Vd324]: (~Vd320=Vd324|~rline(Vd324))))|(![Vd323]: (~Vd319=Vd323|~rline(Vd323))))|Vd314=Vd315)|(![Vd318]: (~Vd315=Vd318|~rpoint(Vd318))))|(![Vd317]: (~Vd314=Vd317|~rpoint(Vd317))))|Vd319=Vd320)),
% 0.11/0.36    inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.11/0.36  fof(f301,plain,(
% 0.11/0.36    ![Vd319,Vd320]: ((![Vd314]: ((![Vd315]: (((((((~ron(Vd315,Vd320)|~ron(Vd315,Vd319))|~ron(Vd314,Vd320))|~ron(Vd314,Vd319))|(![Vd324]: (~Vd320=Vd324|~rline(Vd324))))|(![Vd323]: (~Vd319=Vd323|~rline(Vd323))))|Vd314=Vd315)|(![Vd318]: (~Vd315=Vd318|~rpoint(Vd318)))))|(![Vd317]: (~Vd314=Vd317|~rpoint(Vd317)))))|Vd319=Vd320)),
% 0.11/0.36    inference(miniscoping,[status(esa)],[f300])).
% 0.11/0.36  fof(f302,plain,(
% 0.11/0.36    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|~ron(X0,X2)|~ron(X3,X1)|~ron(X3,X2)|~X1=X4|~rline(X4)|~X2=X5|~rline(X5)|X3=X0|~X0=X6|~rpoint(X6)|~X3=X7|~rpoint(X7)|X2=X1)),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.36  fof(f776,plain,(
% 0.11/0.36    ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X0,X2)|~ron(X3,X1)|~ron(X3,X2)|~rline(X1)|~rline(X2)|X3=X0|~rpoint(X0)|~rpoint(X3)|X2=X1)),
% 0.11/0.36    inference(destructive_equality_resolution,[status(esa)],[f302])).
% 0.11/0.36  fof(f941,plain,(
% 0.11/0.36    spl0_9 <=> rline(vd1416)),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f943,plain,(
% 0.11/0.36    ~rline(vd1416)|spl0_9),
% 0.11/0.36    inference(component_clause,[status(thm)],[f941])).
% 0.11/0.36  fof(f944,plain,(
% 0.11/0.36    spl0_10 <=> rpoint(vd1401)),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f946,plain,(
% 0.11/0.36    ~rpoint(vd1401)|spl0_10),
% 0.11/0.36    inference(component_clause,[status(thm)],[f944])).
% 0.11/0.36  fof(f952,plain,(
% 0.11/0.36    spl0_12 <=> rline(sk0_0)),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f954,plain,(
% 0.11/0.36    ~rline(sk0_0)|spl0_12),
% 0.11/0.36    inference(component_clause,[status(thm)],[f952])).
% 0.11/0.36  fof(f960,plain,(
% 0.11/0.36    spl0_14 <=> rpoint(vd1399)),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f962,plain,(
% 0.11/0.36    ~rpoint(vd1399)|spl0_14),
% 0.11/0.36    inference(component_clause,[status(thm)],[f960])).
% 0.11/0.36  fof(f965,plain,(
% 0.11/0.36    spl0_15 <=> ~ron(vd1399,X0)|~ron(X1,sk0_0)|~ron(X1,X0)|~rline(X0)|X1=vd1399|~rpoint(X1)|X0=sk0_0),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f966,plain,(
% 0.11/0.36    ![X0,X1]: (~ron(vd1399,X0)|~ron(X1,sk0_0)|~ron(X1,X0)|~rline(X0)|X1=vd1399|~rpoint(X1)|X0=sk0_0|~spl0_15)),
% 0.11/0.36    inference(component_clause,[status(thm)],[f965])).
% 0.11/0.36  fof(f968,plain,(
% 0.11/0.36    ![X0,X1]: (~ron(vd1399,X0)|~ron(X1,sk0_0)|~ron(X1,X0)|~rline(sk0_0)|~rline(X0)|X1=vd1399|~rpoint(vd1399)|~rpoint(X1)|X0=sk0_0)),
% 0.11/0.36    inference(resolution,[status(thm)],[f776,f129])).
% 0.11/0.36  fof(f969,plain,(
% 0.11/0.36    spl0_15|~spl0_12|~spl0_14),
% 0.11/0.36    inference(split_clause,[status(thm)],[f968,f965,f952,f960])).
% 0.11/0.36  fof(f970,plain,(
% 0.11/0.36    $false|spl0_12),
% 0.11/0.36    inference(forward_subsumption_resolution,[status(thm)],[f954,f131])).
% 0.11/0.36  fof(f971,plain,(
% 0.11/0.36    spl0_12),
% 0.11/0.36    inference(contradiction_clause,[status(thm)],[f970])).
% 0.11/0.36  fof(f973,plain,(
% 0.11/0.36    rpoint(vd1401)),
% 0.11/0.36    inference(forward_demodulation,[status(thm)],[f145,f146])).
% 0.11/0.36  fof(f986,plain,(
% 0.11/0.36    rpoint(vd1399)),
% 0.11/0.36    inference(forward_demodulation,[status(thm)],[f149,f150])).
% 0.11/0.36  fof(f1013,plain,(
% 0.11/0.36    $false|spl0_14),
% 0.11/0.36    inference(forward_subsumption_resolution,[status(thm)],[f962,f986])).
% 0.11/0.36  fof(f1014,plain,(
% 0.11/0.36    spl0_14),
% 0.11/0.36    inference(contradiction_clause,[status(thm)],[f1013])).
% 0.11/0.36  fof(f1015,plain,(
% 0.11/0.36    $false|spl0_9),
% 0.11/0.36    inference(forward_subsumption_resolution,[status(thm)],[f943,f135])).
% 0.11/0.36  fof(f1016,plain,(
% 0.11/0.36    spl0_9),
% 0.11/0.36    inference(contradiction_clause,[status(thm)],[f1015])).
% 0.11/0.36  fof(f1029,plain,(
% 0.11/0.36    spl0_22 <=> ~ron(X0,sk0_0)|~ron(X0,vd1416)|X0=vd1399|~rpoint(X0)),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f1030,plain,(
% 0.11/0.36    ![X0]: (~ron(X0,sk0_0)|~ron(X0,vd1416)|X0=vd1399|~rpoint(X0)|~spl0_22)),
% 0.11/0.36    inference(component_clause,[status(thm)],[f1029])).
% 0.11/0.36  fof(f1032,plain,(
% 0.11/0.36    spl0_23 <=> vd1416=sk0_0),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f1033,plain,(
% 0.11/0.36    vd1416=sk0_0|~spl0_23),
% 0.11/0.36    inference(component_clause,[status(thm)],[f1032])).
% 0.11/0.36  fof(f1035,plain,(
% 0.11/0.36    ![X0]: (~ron(X0,sk0_0)|~ron(X0,vd1416)|~rline(vd1416)|X0=vd1399|~rpoint(X0)|vd1416=sk0_0|~spl0_15)),
% 0.11/0.36    inference(resolution,[status(thm)],[f966,f133])).
% 0.11/0.36  fof(f1036,plain,(
% 0.11/0.36    spl0_22|~spl0_9|spl0_23|~spl0_15),
% 0.11/0.37    inference(split_clause,[status(thm)],[f1035,f1029,f941,f1032,f965])).
% 0.11/0.37  fof(f1046,plain,(
% 0.11/0.37    spl0_26 <=> vd1401=vd1399),
% 0.11/0.37    introduced(split_symbol_definition)).
% 0.11/0.37  fof(f1047,plain,(
% 0.11/0.37    vd1401=vd1399|~spl0_26),
% 0.11/0.37    inference(component_clause,[status(thm)],[f1046])).
% 0.11/0.37  fof(f1056,plain,(
% 0.11/0.37    $false|spl0_10),
% 0.11/0.37    inference(forward_subsumption_resolution,[status(thm)],[f946,f973])).
% 0.11/0.37  fof(f1057,plain,(
% 0.11/0.37    spl0_10),
% 0.11/0.37    inference(contradiction_clause,[status(thm)],[f1056])).
% 0.11/0.37  fof(f1058,plain,(
% 0.11/0.37    $false|~spl0_26),
% 0.11/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1047,f143])).
% 0.11/0.37  fof(f1059,plain,(
% 0.11/0.37    ~spl0_26),
% 0.11/0.37    inference(contradiction_clause,[status(thm)],[f1058])).
% 0.11/0.37  fof(f1060,plain,(
% 0.11/0.37    spl0_28 <=> ron(vd1401,vd1416)),
% 0.11/0.37    introduced(split_symbol_definition)).
% 0.11/0.37  fof(f1062,plain,(
% 0.11/0.37    ~ron(vd1401,vd1416)|spl0_28),
% 0.11/0.37    inference(component_clause,[status(thm)],[f1060])).
% 0.11/0.37  fof(f1063,plain,(
% 0.11/0.37    ~ron(vd1401,vd1416)|vd1401=vd1399|~rpoint(vd1401)|~spl0_22),
% 0.11/0.37    inference(resolution,[status(thm)],[f1030,f130])).
% 0.11/0.37  fof(f1064,plain,(
% 0.11/0.37    ~spl0_28|spl0_26|~spl0_10|~spl0_22),
% 0.11/0.37    inference(split_clause,[status(thm)],[f1063,f1060,f1046,f944,f1029])).
% 0.11/0.37  fof(f1070,plain,(
% 0.11/0.37    $false|spl0_28),
% 0.11/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1062,f134])).
% 0.11/0.37  fof(f1071,plain,(
% 0.11/0.37    spl0_28),
% 0.11/0.37    inference(contradiction_clause,[status(thm)],[f1070])).
% 0.11/0.37  fof(f1072,plain,(
% 0.11/0.37    $false|~spl0_23),
% 0.11/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1033,f132])).
% 0.11/0.37  fof(f1073,plain,(
% 0.11/0.37    ~spl0_23),
% 0.11/0.37    inference(contradiction_clause,[status(thm)],[f1072])).
% 0.11/0.37  fof(f1074,plain,(
% 0.11/0.37    $false),
% 0.11/0.37    inference(sat_refutation,[status(thm)],[f969,f971,f1014,f1016,f1036,f1057,f1059,f1064,f1071,f1073])).
% 0.11/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.38  % Elapsed time: 0.044813 seconds
% 0.11/0.38  % CPU time: 0.110840 seconds
% 0.11/0.38  % Total memory used: 24.749 MB
% 0.11/0.38  % Net memory used: 24.536 MB
%------------------------------------------------------------------------------