TSTP Solution File: GEO277+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO277+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:08:39 EDT 2023

% Result   : Theorem 0.15s 0.38s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO277+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n014.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 11:59:33 EDT 2023
% 0.15/0.31  % CPUTime  : 
% 0.15/0.33  % Drodi V3.5.1
% 0.15/0.38  % Refutation found
% 0.15/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38  fof(f1,conjecture,(
% 0.15/0.38    (! [Vdthex] :( ( ron(vd1085,Vdthex)& ron(vd1089,Vdthex)& rline(Vdthex) )=> Vdthex = vd1099 ) )),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f2,negated_conjecture,(
% 0.15/0.38    ~((! [Vdthex] :( ( ron(vd1085,Vdthex)& ron(vd1089,Vdthex)& rline(Vdthex) )=> Vdthex = vd1099 ) ))),
% 0.15/0.38    inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.38  fof(f3,axiom,(
% 0.15/0.38    ( ron(vd1085,vd1099)& ron(vd1089,vd1099)& rline(vd1099) ) ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f9,axiom,(
% 0.15/0.38    rpoint(vd1089) ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f10,axiom,(
% 0.15/0.38    vd1085 = vd1086 ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f11,axiom,(
% 0.15/0.38    rpoint(vd1086) ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f13,axiom,(
% 0.15/0.38    vf(vd1089,vd1080) = vf(vd1085,vd1080) ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f14,axiom,(
% 0.15/0.38    vf(vd1089,vd1085) = vf(vd1089,vd1080) ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f16,axiom,(
% 0.15/0.38    vd1085 != vd1080 ),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f23,axiom,(
% 0.15/0.38    (? [Vd1084] :( vd1081 = Vd1084& rpoint(Vd1084) ) )),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f24,axiom,(
% 0.15/0.38    (? [Vd1083] :( vd1080 = Vd1083& rpoint(Vd1083) ) )),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f36,axiom,(
% 0.15/0.38    (! [Vd748,Vd749] :( ( (? [Vd752] :( Vd749 = Vd752& rpoint(Vd752) ))& (? [Vd751] :( Vd748 = Vd751& rpoint(Vd751) ) ))=> ( vf(Vd748,Vd749) = v0<=> Vd748 = Vd749 ) ) )),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f38,axiom,(
% 0.15/0.38    (! [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 ) )),
% 0.15/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38  fof(f129,plain,(
% 0.15/0.38    (?[Vdthex]: (((ron(vd1085,Vdthex)&ron(vd1089,Vdthex))&rline(Vdthex))&~Vdthex=vd1099))),
% 0.15/0.38    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.38  fof(f130,plain,(
% 0.15/0.38    (((ron(vd1085,sk0_0)&ron(vd1089,sk0_0))&rline(sk0_0))&~sk0_0=vd1099)),
% 0.15/0.38    inference(skolemization,[status(esa)],[f129])).
% 0.15/0.38  fof(f131,plain,(
% 0.15/0.38    ron(vd1085,sk0_0)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f130])).
% 0.15/0.38  fof(f132,plain,(
% 0.15/0.38    ron(vd1089,sk0_0)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f130])).
% 0.15/0.38  fof(f133,plain,(
% 0.15/0.38    rline(sk0_0)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f130])).
% 0.15/0.38  fof(f134,plain,(
% 0.15/0.38    ~sk0_0=vd1099),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f130])).
% 0.15/0.38  fof(f135,plain,(
% 0.15/0.38    ron(vd1085,vd1099)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.38  fof(f136,plain,(
% 0.15/0.38    ron(vd1089,vd1099)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.38  fof(f137,plain,(
% 0.15/0.38    rline(vd1099)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.38  fof(f145,plain,(
% 0.15/0.38    rpoint(vd1089)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.38  fof(f146,plain,(
% 0.15/0.38    vd1085=vd1086),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.38  fof(f147,plain,(
% 0.15/0.38    rpoint(vd1086)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.38  fof(f153,plain,(
% 0.15/0.38    vf(vd1089,vd1080)=vf(vd1085,vd1080)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.38  fof(f154,plain,(
% 0.15/0.38    vf(vd1089,vd1085)=vf(vd1089,vd1080)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.38  fof(f156,plain,(
% 0.15/0.38    ~vd1085=vd1080),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.38  fof(f167,plain,(
% 0.15/0.38    (vd1081=sk0_2&rpoint(sk0_2))),
% 0.15/0.38    inference(skolemization,[status(esa)],[f23])).
% 0.15/0.38  fof(f168,plain,(
% 0.15/0.38    vd1081=sk0_2),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f167])).
% 0.15/0.38  fof(f169,plain,(
% 0.15/0.38    rpoint(sk0_2)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f167])).
% 0.15/0.38  fof(f170,plain,(
% 0.15/0.38    (vd1080=sk0_3&rpoint(sk0_3))),
% 0.15/0.38    inference(skolemization,[status(esa)],[f24])).
% 0.15/0.38  fof(f171,plain,(
% 0.15/0.38    vd1080=sk0_3),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f170])).
% 0.15/0.38  fof(f172,plain,(
% 0.15/0.38    rpoint(sk0_3)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f170])).
% 0.15/0.38  fof(f219,plain,(
% 0.15/0.38    ![Vd748,Vd749]: (((![Vd752]: (~Vd749=Vd752|~rpoint(Vd752)))|(![Vd751]: (~Vd748=Vd751|~rpoint(Vd751))))|(vf(Vd748,Vd749)=v0<=>Vd748=Vd749))),
% 0.15/0.38    inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.15/0.38  fof(f220,plain,(
% 0.15/0.38    ![Vd748,Vd749]: (((![Vd752]: (~Vd749=Vd752|~rpoint(Vd752)))|(![Vd751]: (~Vd748=Vd751|~rpoint(Vd751))))|((~vf(Vd748,Vd749)=v0|Vd748=Vd749)&(vf(Vd748,Vd749)=v0|~Vd748=Vd749)))),
% 0.15/0.38    inference(NNF_transformation,[status(esa)],[f219])).
% 0.15/0.38  fof(f221,plain,(
% 0.15/0.38    ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|~vf(X2,X0)=v0|X2=X0)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f220])).
% 0.15/0.38  fof(f222,plain,(
% 0.15/0.38    ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=v0|~X2=X0)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f220])).
% 0.15/0.38  fof(f226,plain,(
% 0.15/0.38    ![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)),
% 0.15/0.38    inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.15/0.38  fof(f227,plain,(
% 0.15/0.38    ![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)),
% 0.15/0.38    inference(miniscoping,[status(esa)],[f226])).
% 0.15/0.38  fof(f228,plain,(
% 0.15/0.38    ![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)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f227])).
% 0.15/0.38  fof(f707,plain,(
% 0.15/0.38    ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|~vf(X1,X0)=v0|X1=X0)),
% 0.15/0.38    inference(destructive_equality_resolution,[status(esa)],[f221])).
% 0.15/0.38  fof(f708,plain,(
% 0.15/0.38    ![X1]: (~rpoint(X1)|~rpoint(X1)|vf(X1,X1)=v0)),
% 0.15/0.38    inference(destructive_equality_resolution,[status(esa)],[f222])).
% 0.15/0.38  fof(f709,plain,(
% 0.15/0.38    ![X0]: (~rpoint(X0)|vf(X0,X0)=v0)),
% 0.15/0.38    inference(duplicate_literals_removal,[status(esa)],[f708])).
% 0.15/0.38  fof(f711,plain,(
% 0.15/0.38    ![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)),
% 0.15/0.38    inference(destructive_equality_resolution,[status(esa)],[f228])).
% 0.15/0.38  fof(f893,plain,(
% 0.15/0.38    vf(vd1089,vd1085)=vf(vd1085,vd1080)),
% 0.15/0.38    inference(forward_demodulation,[status(thm)],[f153,f154])).
% 0.15/0.38  fof(f897,plain,(
% 0.15/0.38    spl0_9 <=> rline(vd1099)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f899,plain,(
% 0.15/0.38    ~rline(vd1099)|spl0_9),
% 0.15/0.38    inference(component_clause,[status(thm)],[f897])).
% 0.15/0.38  fof(f903,plain,(
% 0.15/0.38    spl0_11 <=> rpoint(vd1089)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f905,plain,(
% 0.15/0.38    ~rpoint(vd1089)|spl0_11),
% 0.15/0.38    inference(component_clause,[status(thm)],[f903])).
% 0.15/0.38  fof(f919,plain,(
% 0.15/0.38    spl0_15 <=> rline(sk0_0)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f921,plain,(
% 0.15/0.38    ~rline(sk0_0)|spl0_15),
% 0.15/0.38    inference(component_clause,[status(thm)],[f919])).
% 0.15/0.38  fof(f927,plain,(
% 0.15/0.38    spl0_17 <=> ~ron(vd1089,X0)|~ron(X1,X0)|~ron(X1,sk0_0)|~rline(X0)|X1=vd1089|~rpoint(X1)|sk0_0=X0),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f928,plain,(
% 0.15/0.38    ![X0,X1]: (~ron(vd1089,X0)|~ron(X1,X0)|~ron(X1,sk0_0)|~rline(X0)|X1=vd1089|~rpoint(X1)|sk0_0=X0|~spl0_17)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f927])).
% 0.15/0.38  fof(f930,plain,(
% 0.15/0.38    ![X0,X1]: (~ron(vd1089,X0)|~ron(X1,X0)|~ron(X1,sk0_0)|~rline(X0)|~rline(sk0_0)|X1=vd1089|~rpoint(vd1089)|~rpoint(X1)|sk0_0=X0)),
% 0.15/0.38    inference(resolution,[status(thm)],[f711,f132])).
% 0.15/0.38  fof(f931,plain,(
% 0.15/0.38    spl0_17|~spl0_15|~spl0_11),
% 0.15/0.38    inference(split_clause,[status(thm)],[f930,f927,f919,f903])).
% 0.15/0.38  fof(f932,plain,(
% 0.15/0.38    spl0_18 <=> ron(vd1085,vd1099)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f934,plain,(
% 0.15/0.38    ~ron(vd1085,vd1099)|spl0_18),
% 0.15/0.38    inference(component_clause,[status(thm)],[f932])).
% 0.15/0.38  fof(f938,plain,(
% 0.15/0.38    spl0_20 <=> rpoint(vd1085)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f940,plain,(
% 0.15/0.38    ~rpoint(vd1085)|spl0_20),
% 0.15/0.38    inference(component_clause,[status(thm)],[f938])).
% 0.15/0.38  fof(f996,plain,(
% 0.15/0.38    $false|spl0_18),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f934,f135])).
% 0.15/0.38  fof(f997,plain,(
% 0.15/0.38    spl0_18),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f996])).
% 0.15/0.38  fof(f1002,plain,(
% 0.15/0.38    $false|spl0_15),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f921,f133])).
% 0.15/0.38  fof(f1003,plain,(
% 0.15/0.38    spl0_15),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1002])).
% 0.15/0.38  fof(f1004,plain,(
% 0.15/0.38    $false|spl0_11),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f905,f145])).
% 0.15/0.38  fof(f1005,plain,(
% 0.15/0.38    spl0_11),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1004])).
% 0.15/0.38  fof(f1006,plain,(
% 0.15/0.38    $false|spl0_9),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f899,f137])).
% 0.15/0.38  fof(f1007,plain,(
% 0.15/0.38    spl0_9),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1006])).
% 0.15/0.38  fof(f1008,plain,(
% 0.15/0.38    rpoint(vd1085)),
% 0.15/0.38    inference(forward_demodulation,[status(thm)],[f146,f147])).
% 0.15/0.38  fof(f1045,plain,(
% 0.15/0.38    rpoint(vd1081)),
% 0.15/0.38    inference(forward_demodulation,[status(thm)],[f168,f169])).
% 0.15/0.38  fof(f1046,plain,(
% 0.15/0.38    rpoint(vd1080)),
% 0.15/0.38    inference(forward_demodulation,[status(thm)],[f171,f172])).
% 0.15/0.38  fof(f1098,plain,(
% 0.15/0.38    spl0_42 <=> rpoint(vd1080)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f1100,plain,(
% 0.15/0.38    ~rpoint(vd1080)|spl0_42),
% 0.15/0.38    inference(component_clause,[status(thm)],[f1098])).
% 0.15/0.38  fof(f1136,plain,(
% 0.15/0.38    spl0_46 <=> ~ron(X0,vd1099)|~ron(X0,sk0_0)|X0=vd1089|~rpoint(X0)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f1137,plain,(
% 0.15/0.38    ![X0]: (~ron(X0,vd1099)|~ron(X0,sk0_0)|X0=vd1089|~rpoint(X0)|~spl0_46)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f1136])).
% 0.15/0.38  fof(f1139,plain,(
% 0.15/0.38    spl0_47 <=> sk0_0=vd1099),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f1140,plain,(
% 0.15/0.38    sk0_0=vd1099|~spl0_47),
% 0.15/0.38    inference(component_clause,[status(thm)],[f1139])).
% 0.15/0.38  fof(f1142,plain,(
% 0.15/0.38    ![X0]: (~ron(X0,vd1099)|~ron(X0,sk0_0)|~rline(vd1099)|X0=vd1089|~rpoint(X0)|sk0_0=vd1099|~spl0_17)),
% 0.15/0.38    inference(resolution,[status(thm)],[f928,f136])).
% 0.15/0.38  fof(f1143,plain,(
% 0.15/0.38    spl0_46|~spl0_9|spl0_47|~spl0_17),
% 0.15/0.38    inference(split_clause,[status(thm)],[f1142,f1136,f897,f1139,f927])).
% 0.15/0.38  fof(f1158,plain,(
% 0.15/0.38    spl0_50 <=> vd1085=vd1089),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f1159,plain,(
% 0.15/0.38    vd1085=vd1089|~spl0_50),
% 0.15/0.38    inference(component_clause,[status(thm)],[f1158])).
% 0.15/0.38  fof(f1161,plain,(
% 0.15/0.38    ~ron(vd1085,vd1099)|vd1085=vd1089|~rpoint(vd1085)|~spl0_46),
% 0.15/0.38    inference(resolution,[status(thm)],[f1137,f131])).
% 0.15/0.38  fof(f1162,plain,(
% 0.15/0.38    ~spl0_18|spl0_50|~spl0_20|~spl0_46),
% 0.15/0.38    inference(split_clause,[status(thm)],[f1161,f932,f1158,f938,f1136])).
% 0.15/0.38  fof(f1185,plain,(
% 0.15/0.38    $false|spl0_20),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f940,f1008])).
% 0.15/0.38  fof(f1186,plain,(
% 0.15/0.38    spl0_20),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1185])).
% 0.15/0.38  fof(f1189,plain,(
% 0.15/0.38    $false|spl0_42),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f1100,f1046])).
% 0.15/0.38  fof(f1190,plain,(
% 0.15/0.38    spl0_42),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1189])).
% 0.15/0.38  fof(f1212,plain,(
% 0.15/0.38    vf(vd1085,vd1085)=vf(vd1085,vd1080)|~spl0_50),
% 0.15/0.38    inference(backward_demodulation,[status(thm)],[f1159,f893])).
% 0.15/0.38  fof(f1344,plain,(
% 0.15/0.38    ~vd1099=vd1099|~spl0_47),
% 0.15/0.38    inference(forward_demodulation,[status(thm)],[f1140,f134])).
% 0.15/0.38  fof(f1345,plain,(
% 0.15/0.38    $false|~spl0_47),
% 0.15/0.38    inference(trivial_equality_resolution,[status(esa)],[f1344])).
% 0.15/0.38  fof(f1346,plain,(
% 0.15/0.38    ~spl0_47),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1345])).
% 0.15/0.38  fof(f1425,plain,(
% 0.15/0.38    spl0_75 <=> rpoint(vd1081)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f1427,plain,(
% 0.15/0.38    ~rpoint(vd1081)|spl0_75),
% 0.15/0.38    inference(component_clause,[status(thm)],[f1425])).
% 0.15/0.38  fof(f1690,plain,(
% 0.15/0.38    spl0_101 <=> vd1080=vd1085),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f1691,plain,(
% 0.15/0.38    vd1080=vd1085|~spl0_101),
% 0.15/0.38    inference(component_clause,[status(thm)],[f1690])).
% 0.15/0.38  fof(f1911,plain,(
% 0.15/0.38    $false|~spl0_101),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f1691,f156])).
% 0.15/0.38  fof(f1912,plain,(
% 0.15/0.38    ~spl0_101),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f1911])).
% 0.15/0.38  fof(f2279,plain,(
% 0.15/0.38    $false|spl0_75),
% 0.33/0.61    inference(forward_subsumption_resolution,[status(thm)],[f1427,f1045])).
% 0.33/0.61  fof(f2280,plain,(
% 0.33/0.61    spl0_75),
% 0.33/0.61    inference(contradiction_clause,[status(thm)],[f2279])).
% 0.33/0.61  fof(f2555,plain,(
% 0.33/0.61    spl0_214 <=> vf(vd1085,vd1085)=v0),
% 0.33/0.61    introduced(split_symbol_definition)).
% 0.33/0.61  fof(f2557,plain,(
% 0.33/0.61    ~vf(vd1085,vd1085)=v0|spl0_214),
% 0.33/0.61    inference(component_clause,[status(thm)],[f2555])).
% 0.33/0.61  fof(f2558,plain,(
% 0.33/0.61    ~rpoint(vd1080)|~rpoint(vd1085)|~vf(vd1085,vd1085)=v0|vd1085=vd1080|~spl0_50),
% 0.33/0.61    inference(paramodulation,[status(thm)],[f1212,f707])).
% 0.33/0.61  fof(f2559,plain,(
% 0.33/0.61    ~spl0_42|~spl0_20|~spl0_214|spl0_101|~spl0_50),
% 0.33/0.61    inference(split_clause,[status(thm)],[f2558,f1098,f938,f2555,f1690,f1158])).
% 0.33/0.61  fof(f2600,plain,(
% 0.33/0.61    ~rpoint(vd1085)|spl0_214),
% 0.33/0.61    inference(resolution,[status(thm)],[f2557,f709])).
% 0.33/0.61  fof(f2601,plain,(
% 0.33/0.61    ~spl0_20|spl0_214),
% 0.33/0.61    inference(split_clause,[status(thm)],[f2600,f938,f2555])).
% 0.33/0.61  fof(f2602,plain,(
% 0.33/0.61    $false),
% 0.33/0.61    inference(sat_refutation,[status(thm)],[f931,f997,f1003,f1005,f1007,f1143,f1162,f1186,f1190,f1346,f1912,f2280,f2559,f2601])).
% 0.33/0.61  % SZS output end CNFRefutation for theBenchmark.p
% 0.33/0.61  % Elapsed time: 0.078001 seconds
% 0.33/0.61  % CPU time: 0.160729 seconds
% 0.33/0.61  % Memory used: 18.893 MB
%------------------------------------------------------------------------------