TSTP Solution File: GEO280+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:17:51 EDT 2024
% Result : Theorem 87.77s 11.50s
% Output : CNFRefutation 87.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n022.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Apr 30 01:25:13 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.16/0.37 % Drodi V3.6.0
% 87.77/11.50 % Refutation found
% 87.77/11.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 87.77/11.50 % SZS output start CNFRefutation for theBenchmark
% 87.77/11.50 fof(f1,conjecture,(
% 87.77/11.50 ~ rinside(vd1125,vd1139) ),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f2,negated_conjecture,(
% 87.77/11.50 ~(~ rinside(vd1125,vd1139) )),
% 87.77/11.50 inference(negated_conjecture,[status(cth)],[f1])).
% 87.77/11.50 fof(f3,axiom,(
% 87.77/11.50 ( ron(vd1136,vd1139)& rcenter(vd1123,vd1139)& rcircle(vd1139)& ron(vd1125,vd1138)& ron(vd1123,vd1138) ) ),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f5,axiom,(
% 87.77/11.50 vf(vd1127,vd1129) = vf(vd1123,vd1136) ),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f6,axiom,(
% 87.77/11.50 rpoint(vd1136) ),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f7,axiom,(
% 87.77/11.50 ( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))& vd1127 != vd1129& vd1123 != vd1125& vd1129 = vd1130& rpoint(vd1130)& vd1127 = vd1128& rpoint(vd1128)& vd1125 = vd1126& rpoint(vd1126)& vd1123 = vd1124& rpoint(vd1124) ) ),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f25,axiom,(
% 87.77/11.50 (! [Vd741,Vd742] :( ( (? [Vd745] :( Vd742 = Vd745& rpoint(Vd745) ))& (? [Vd744] :( Vd741 = Vd744& rpoint(Vd744) ) ))=> (? [Vd747] :( vf(Vd741,Vd742) = Vd747& rreal(Vd747) ) )) )),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f30,axiom,(
% 87.77/11.50 (! [Vd854,Vd855,Vd859,Vd860] :( ( ron(Vd855,Vd860)& rcenter(Vd859,Vd860)& (? [Vd858] :( Vd855 = Vd858& rpoint(Vd858) ))& (? [Vd857] :( Vd854 = Vd857& rpoint(Vd857) ) ))=> ( rless(vf(Vd859,Vd854),vf(Vd859,Vd855))<=> rinside(Vd854,Vd860) ) ) )),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f32,axiom,(
% 87.77/11.50 (! [Vd716,Vd717,Vd718,Vd719,Vd720,Vd721] :( ( rless(Vd718,Vd720)& rless(Vd716,Vd718)& Vd720 = Vd721& rreal(Vd721)& Vd718 = Vd719& rreal(Vd719)& Vd716 = Vd717& rreal(Vd717) )=> rless(Vd716,Vd720) ) )),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f33,axiom,(
% 87.77/11.50 (! [Vd713,Vd714] :( ( Vd713 = Vd714& rreal(Vd714) )=> ~ rless(Vd713,Vd713) ) )),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f105,axiom,(
% 87.77/11.50 (! [Vd761,Vd762] :( ( (? [Vd765] :( Vd762 = Vd765& rpoint(Vd765) ))& (? [Vd764] :( Vd761 = Vd764& rpoint(Vd764) ) ))=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ) )),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f109,axiom,(
% 87.77/11.50 (! [Vd958,Vd959,Vd960] :( ( (? [Vd964] :( Vd960 = Vd964& rpoint(Vd964) ))& (? [Vd963] :( Vd959 = Vd963& rpoint(Vd963) ))& (? [Vd962] :( Vd958 = Vd962& rpoint(Vd962) ) ))=> (? [Vd966] :( vg(Vd958,Vd959,Vd960) = Vd966& rreal(Vd966) ) )) )),
% 87.77/11.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 87.77/11.50 fof(f117,plain,(
% 87.77/11.50 rinside(vd1125,vd1139)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f2])).
% 87.77/11.50 fof(f118,plain,(
% 87.77/11.50 ron(vd1136,vd1139)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f3])).
% 87.77/11.50 fof(f119,plain,(
% 87.77/11.50 rcenter(vd1123,vd1139)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f3])).
% 87.77/11.50 fof(f124,plain,(
% 87.77/11.50 vf(vd1127,vd1129)=vf(vd1123,vd1136)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f5])).
% 87.77/11.50 fof(f125,plain,(
% 87.77/11.50 rpoint(vd1136)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f6])).
% 87.77/11.50 fof(f126,plain,(
% 87.77/11.50 rless(vf(vd1127,vd1129),vf(vd1123,vd1125))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f129,plain,(
% 87.77/11.50 vd1129=vd1130),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f130,plain,(
% 87.77/11.50 rpoint(vd1130)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f131,plain,(
% 87.77/11.50 vd1127=vd1128),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f132,plain,(
% 87.77/11.50 rpoint(vd1128)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f133,plain,(
% 87.77/11.50 vd1125=vd1126),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f134,plain,(
% 87.77/11.50 rpoint(vd1126)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f135,plain,(
% 87.77/11.50 vd1123=vd1124),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f136,plain,(
% 87.77/11.50 rpoint(vd1124)),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f7])).
% 87.77/11.50 fof(f197,plain,(
% 87.77/11.50 ![Vd741,Vd742]: (((![Vd745]: (~Vd742=Vd745|~rpoint(Vd745)))|(![Vd744]: (~Vd741=Vd744|~rpoint(Vd744))))|(?[Vd747]: (vf(Vd741,Vd742)=Vd747&rreal(Vd747))))),
% 87.77/11.50 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 87.77/11.50 fof(f198,plain,(
% 87.77/11.50 ![Vd741,Vd742]: (((![Vd745]: (~Vd742=Vd745|~rpoint(Vd745)))|(![Vd744]: (~Vd741=Vd744|~rpoint(Vd744))))|(vf(Vd741,Vd742)=sk0_5(Vd742,Vd741)&rreal(sk0_5(Vd742,Vd741))))),
% 87.77/11.50 inference(skolemization,[status(esa)],[f197])).
% 87.77/11.50 fof(f199,plain,(
% 87.77/11.50 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=sk0_5(X0,X2))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f198])).
% 87.77/11.50 fof(f200,plain,(
% 87.77/11.50 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|rreal(sk0_5(X0,X2)))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f198])).
% 87.77/11.50 fof(f219,plain,(
% 87.77/11.50 ![Vd854,Vd855,Vd859,Vd860]: ((((~ron(Vd855,Vd860)|~rcenter(Vd859,Vd860))|(![Vd858]: (~Vd855=Vd858|~rpoint(Vd858))))|(![Vd857]: (~Vd854=Vd857|~rpoint(Vd857))))|(rless(vf(Vd859,Vd854),vf(Vd859,Vd855))<=>rinside(Vd854,Vd860)))),
% 87.77/11.50 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 87.77/11.50 fof(f220,plain,(
% 87.77/11.50 ![Vd854,Vd855,Vd859,Vd860]: ((((~ron(Vd855,Vd860)|~rcenter(Vd859,Vd860))|(![Vd858]: (~Vd855=Vd858|~rpoint(Vd858))))|(![Vd857]: (~Vd854=Vd857|~rpoint(Vd857))))|((~rless(vf(Vd859,Vd854),vf(Vd859,Vd855))|rinside(Vd854,Vd860))&(rless(vf(Vd859,Vd854),vf(Vd859,Vd855))|~rinside(Vd854,Vd860))))),
% 87.77/11.50 inference(NNF_transformation,[status(esa)],[f219])).
% 87.77/11.50 fof(f222,plain,(
% 87.77/11.50 ![X0,X1,X2,X3,X4,X5]: (~ron(X0,X1)|~rcenter(X2,X1)|~X0=X3|~rpoint(X3)|~X4=X5|~rpoint(X5)|rless(vf(X2,X4),vf(X2,X0))|~rinside(X4,X1))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f220])).
% 87.77/11.50 fof(f226,plain,(
% 87.77/11.50 ![Vd716,Vd717,Vd718,Vd719,Vd720,Vd721]: ((((((((~rless(Vd718,Vd720)|~rless(Vd716,Vd718))|~Vd720=Vd721)|~rreal(Vd721))|~Vd718=Vd719)|~rreal(Vd719))|~Vd716=Vd717)|~rreal(Vd717))|rless(Vd716,Vd720))),
% 87.77/11.50 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 87.77/11.50 fof(f227,plain,(
% 87.77/11.50 ![Vd716,Vd720]: ((![Vd717]: (((![Vd719]: ((![Vd718]: ((![Vd721]: (((~rless(Vd718,Vd720)|~rless(Vd716,Vd718))|~Vd720=Vd721)|~rreal(Vd721)))|~Vd718=Vd719))|~rreal(Vd719)))|~Vd716=Vd717)|~rreal(Vd717)))|rless(Vd716,Vd720))),
% 87.77/11.50 inference(miniscoping,[status(esa)],[f226])).
% 87.77/11.50 fof(f228,plain,(
% 87.77/11.50 ![X0,X1,X2,X3,X4,X5]: (~rless(X0,X1)|~rless(X2,X0)|~X1=X3|~rreal(X3)|~X0=X4|~rreal(X4)|~X2=X5|~rreal(X5)|rless(X2,X1))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f227])).
% 87.77/11.50 fof(f229,plain,(
% 87.77/11.50 ![Vd713,Vd714]: ((~Vd713=Vd714|~rreal(Vd714))|~rless(Vd713,Vd713))),
% 87.77/11.50 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 87.77/11.50 fof(f230,plain,(
% 87.77/11.50 ![Vd713]: ((![Vd714]: (~Vd713=Vd714|~rreal(Vd714)))|~rless(Vd713,Vd713))),
% 87.77/11.50 inference(miniscoping,[status(esa)],[f229])).
% 87.77/11.50 fof(f231,plain,(
% 87.77/11.50 ![X0,X1]: (~X0=X1|~rreal(X1)|~rless(X0,X0))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f230])).
% 87.77/11.50 fof(f566,plain,(
% 87.77/11.50 ![Vd761,Vd762]: (((![Vd765]: (~Vd762=Vd765|~rpoint(Vd765)))|(![Vd764]: (~Vd761=Vd764|~rpoint(Vd764))))|vf(Vd761,Vd762)=vf(Vd762,Vd761))),
% 87.77/11.50 inference(pre_NNF_transformation,[status(esa)],[f105])).
% 87.77/11.50 fof(f567,plain,(
% 87.77/11.50 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=vf(X0,X2))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f566])).
% 87.77/11.50 fof(f578,plain,(
% 87.77/11.50 ![Vd958,Vd959,Vd960]: ((((![Vd964]: (~Vd960=Vd964|~rpoint(Vd964)))|(![Vd963]: (~Vd959=Vd963|~rpoint(Vd963))))|(![Vd962]: (~Vd958=Vd962|~rpoint(Vd962))))|(?[Vd966]: (vg(Vd958,Vd959,Vd960)=Vd966&rreal(Vd966))))),
% 87.77/11.50 inference(pre_NNF_transformation,[status(esa)],[f109])).
% 87.77/11.50 fof(f579,plain,(
% 87.77/11.50 ![Vd958,Vd959,Vd960]: ((((![Vd964]: (~Vd960=Vd964|~rpoint(Vd964)))|(![Vd963]: (~Vd959=Vd963|~rpoint(Vd963))))|(![Vd962]: (~Vd958=Vd962|~rpoint(Vd962))))|(vg(Vd958,Vd959,Vd960)=sk0_47(Vd960,Vd959,Vd958)&rreal(sk0_47(Vd960,Vd959,Vd958))))),
% 87.77/11.50 inference(skolemization,[status(esa)],[f578])).
% 87.77/11.50 fof(f581,plain,(
% 87.77/11.50 ![X0,X1,X2,X3,X4,X5]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|~X4=X5|~rpoint(X5)|rreal(sk0_47(X0,X2,X4)))),
% 87.77/11.50 inference(cnf_transformation,[status(esa)],[f579])).
% 87.77/11.50 fof(f654,plain,(
% 87.77/11.50 rless(vf(vd1123,vd1136),vf(vd1123,vd1125))),
% 87.77/11.50 inference(forward_demodulation,[status(thm)],[f124,f126])).
% 87.77/11.50 fof(f655,plain,(
% 87.77/11.50 rpoint(vd1129)),
% 87.77/11.50 inference(forward_demodulation,[status(thm)],[f129,f130])).
% 87.77/11.50 fof(f656,plain,(
% 87.77/11.50 rpoint(vd1127)),
% 87.77/11.50 inference(forward_demodulation,[status(thm)],[f131,f132])).
% 87.77/11.50 fof(f657,plain,(
% 87.77/11.50 rpoint(vd1125)),
% 87.77/11.50 inference(forward_demodulation,[status(thm)],[f133,f134])).
% 87.77/11.50 fof(f658,plain,(
% 87.77/11.50 rpoint(vd1123)),
% 87.77/11.50 inference(forward_demodulation,[status(thm)],[f135,f136])).
% 87.77/11.50 fof(f686,plain,(
% 87.77/11.50 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|vf(X1,X0)=sk0_5(X0,X1))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f199])).
% 87.77/11.50 fof(f687,plain,(
% 87.77/11.50 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|rreal(sk0_5(X0,X1)))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f200])).
% 87.77/11.50 fof(f696,plain,(
% 87.77/11.50 ![X0,X1,X2,X3]: (~ron(X0,X1)|~rcenter(X2,X1)|~rpoint(X0)|~rpoint(X3)|rless(vf(X2,X3),vf(X2,X0))|~rinside(X3,X1))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f222])).
% 87.77/11.50 fof(f698,plain,(
% 87.77/11.50 ![X0,X1,X2]: (~rless(X0,X1)|~rless(X2,X0)|~rreal(X1)|~rreal(X0)|~rreal(X2)|rless(X2,X1))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f228])).
% 87.77/11.50 fof(f699,plain,(
% 87.77/11.50 ![X0]: (~rreal(X0)|~rless(X0,X0))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f231])).
% 87.77/11.50 fof(f856,plain,(
% 87.77/11.50 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|vf(X1,X0)=vf(X0,X1))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f567])).
% 87.77/11.50 fof(f862,plain,(
% 87.77/11.50 ![X0,X1,X2]: (~rpoint(X0)|~rpoint(X1)|~rpoint(X2)|rreal(sk0_47(X0,X1,X2)))),
% 87.77/11.50 inference(destructive_equality_resolution,[status(esa)],[f581])).
% 87.77/11.50 fof(f896,plain,(
% 87.77/11.50 spl0_11 <=> rpoint(vd1125)),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f898,plain,(
% 87.77/11.50 ~rpoint(vd1125)|spl0_11),
% 87.77/11.50 inference(component_clause,[status(thm)],[f896])).
% 87.77/11.50 fof(f914,plain,(
% 87.77/11.50 $false|spl0_11),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f898,f657])).
% 87.77/11.50 fof(f915,plain,(
% 87.77/11.50 spl0_11),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f914])).
% 87.77/11.50 fof(f923,plain,(
% 87.77/11.50 spl0_16 <=> rpoint(vd1136)),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f925,plain,(
% 87.77/11.50 ~rpoint(vd1136)|spl0_16),
% 87.77/11.50 inference(component_clause,[status(thm)],[f923])).
% 87.77/11.50 fof(f985,plain,(
% 87.77/11.50 $false|spl0_16),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f925,f125])).
% 87.77/11.50 fof(f986,plain,(
% 87.77/11.50 spl0_16),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f985])).
% 87.77/11.50 fof(f1375,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|rreal(sk0_5(vd1123,X0)))),
% 87.77/11.50 inference(resolution,[status(thm)],[f687,f658])).
% 87.77/11.50 fof(f1377,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|rreal(sk0_5(vd1127,X0)))),
% 87.77/11.50 inference(resolution,[status(thm)],[f687,f656])).
% 87.77/11.50 fof(f1378,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|rreal(sk0_5(vd1129,X0)))),
% 87.77/11.50 inference(resolution,[status(thm)],[f687,f655])).
% 87.77/11.50 fof(f1382,plain,(
% 87.77/11.50 rreal(sk0_5(vd1123,vd1125))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1375,f657])).
% 87.77/11.50 fof(f1387,plain,(
% 87.77/11.50 rreal(sk0_5(vd1127,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1377,f658])).
% 87.77/11.50 fof(f1393,plain,(
% 87.77/11.50 rreal(sk0_5(vd1129,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1378,f658])).
% 87.77/11.50 fof(f1395,plain,(
% 87.77/11.50 rreal(sk0_5(vd1129,vd1127))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1378,f656])).
% 87.77/11.50 fof(f1408,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|vf(vd1123,X0)=sk0_5(X0,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f686,f658])).
% 87.77/11.50 fof(f1409,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|vf(vd1125,X0)=sk0_5(X0,vd1125))),
% 87.77/11.50 inference(resolution,[status(thm)],[f686,f657])).
% 87.77/11.50 fof(f1410,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|vf(vd1127,X0)=sk0_5(X0,vd1127))),
% 87.77/11.50 inference(resolution,[status(thm)],[f686,f656])).
% 87.77/11.50 fof(f1416,plain,(
% 87.77/11.50 vf(vd1123,vd1127)=sk0_5(vd1127,vd1123)),
% 87.77/11.50 inference(resolution,[status(thm)],[f1408,f656])).
% 87.77/11.50 fof(f1417,plain,(
% 87.77/11.50 vf(vd1123,vd1129)=sk0_5(vd1129,vd1123)),
% 87.77/11.50 inference(resolution,[status(thm)],[f1408,f655])).
% 87.77/11.50 fof(f1421,plain,(
% 87.77/11.50 rreal(vf(vd1123,vd1127))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1416,f1387])).
% 87.77/11.50 fof(f1423,plain,(
% 87.77/11.50 rreal(vf(vd1123,vd1129))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1417,f1393])).
% 87.77/11.50 fof(f1553,plain,(
% 87.77/11.50 vf(vd1127,vd1129)=sk0_5(vd1129,vd1127)),
% 87.77/11.50 inference(resolution,[status(thm)],[f1410,f655])).
% 87.77/11.50 fof(f1554,plain,(
% 87.77/11.50 vf(vd1123,vd1136)=sk0_5(vd1129,vd1127)),
% 87.77/11.50 inference(forward_demodulation,[status(thm)],[f124,f1553])).
% 87.77/11.50 fof(f1560,plain,(
% 87.77/11.50 rreal(vf(vd1123,vd1136))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1554,f1395])).
% 87.77/11.50 fof(f1578,plain,(
% 87.77/11.50 vf(vd1125,vd1123)=sk0_5(vd1123,vd1125)),
% 87.77/11.50 inference(resolution,[status(thm)],[f1409,f658])).
% 87.77/11.50 fof(f1582,plain,(
% 87.77/11.50 rreal(vf(vd1125,vd1123))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1578,f1382])).
% 87.77/11.50 fof(f1597,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|vf(vd1136,X0)=vf(X0,vd1136))),
% 87.77/11.50 inference(resolution,[status(thm)],[f856,f125])).
% 87.77/11.50 fof(f1601,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|vf(vd1123,X0)=vf(X0,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f856,f658])).
% 87.77/11.50 fof(f1606,plain,(
% 87.77/11.50 vf(vd1136,vd1123)=vf(vd1123,vd1136)),
% 87.77/11.50 inference(resolution,[status(thm)],[f1597,f658])).
% 87.77/11.50 fof(f1611,plain,(
% 87.77/11.50 rless(vf(vd1136,vd1123),vf(vd1123,vd1125))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1606,f654])).
% 87.77/11.50 fof(f1615,plain,(
% 87.77/11.50 rreal(vf(vd1136,vd1123))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1606,f1560])).
% 87.77/11.50 fof(f1650,plain,(
% 87.77/11.50 vf(vd1123,vd1125)=vf(vd1125,vd1123)),
% 87.77/11.50 inference(resolution,[status(thm)],[f1601,f657])).
% 87.77/11.50 fof(f1652,plain,(
% 87.77/11.50 rless(vf(vd1136,vd1123),vf(vd1125,vd1123))),
% 87.77/11.50 inference(backward_demodulation,[status(thm)],[f1650,f1611])).
% 87.77/11.50 fof(f1666,plain,(
% 87.77/11.50 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|rreal(sk0_47(vd1123,X0,X1)))),
% 87.77/11.50 inference(resolution,[status(thm)],[f862,f658])).
% 87.77/11.50 fof(f1917,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|rreal(sk0_47(vd1123,vd1127,X0)))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1666,f656])).
% 87.77/11.50 fof(f1919,plain,(
% 87.77/11.50 ![X0]: (~rpoint(X0)|rreal(sk0_47(vd1123,vd1123,X0)))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1666,f658])).
% 87.77/11.50 fof(f1939,plain,(
% 87.77/11.50 rreal(sk0_47(vd1123,vd1127,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1917,f658])).
% 87.77/11.50 fof(f2043,plain,(
% 87.77/11.50 rreal(sk0_47(vd1123,vd1123,vd1129))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1919,f655])).
% 87.77/11.50 fof(f2044,plain,(
% 87.77/11.50 rreal(sk0_47(vd1123,vd1123,vd1127))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1919,f656])).
% 87.77/11.50 fof(f2045,plain,(
% 87.77/11.50 rreal(sk0_47(vd1123,vd1123,vd1125))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1919,f657])).
% 87.77/11.50 fof(f2046,plain,(
% 87.77/11.50 rreal(sk0_47(vd1123,vd1123,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f1919,f658])).
% 87.77/11.50 fof(f2059,plain,(
% 87.77/11.50 spl0_116 <=> rreal(vf(vd1125,vd1123))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f2061,plain,(
% 87.77/11.50 ~rreal(vf(vd1125,vd1123))|spl0_116),
% 87.77/11.50 inference(component_clause,[status(thm)],[f2059])).
% 87.77/11.50 fof(f2062,plain,(
% 87.77/11.50 spl0_117 <=> rreal(vf(vd1136,vd1123))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f2064,plain,(
% 87.77/11.50 ~rreal(vf(vd1136,vd1123))|spl0_117),
% 87.77/11.50 inference(component_clause,[status(thm)],[f2062])).
% 87.77/11.50 fof(f2071,plain,(
% 87.77/11.50 ![X0,X1]: (~rless(X0,X1)|~rless(X1,X0)|~rreal(X1)|~rreal(X0)|~rreal(X1)|~rreal(X1))),
% 87.77/11.50 inference(resolution,[status(thm)],[f698,f699])).
% 87.77/11.50 fof(f2072,plain,(
% 87.77/11.50 ![X0,X1]: (~rless(X0,X1)|~rless(X1,X0)|~rreal(X1)|~rreal(X0))),
% 87.77/11.50 inference(duplicate_literals_removal,[status(esa)],[f2071])).
% 87.77/11.50 fof(f2073,plain,(
% 87.77/11.50 $false|spl0_117),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f2064,f1615])).
% 87.77/11.50 fof(f2074,plain,(
% 87.77/11.50 spl0_117),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f2073])).
% 87.77/11.50 fof(f2075,plain,(
% 87.77/11.50 $false|spl0_116),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f2061,f1582])).
% 87.77/11.50 fof(f2076,plain,(
% 87.77/11.50 spl0_116),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f2075])).
% 87.77/11.50 fof(f2293,plain,(
% 87.77/11.50 spl0_154 <=> rless(vf(vd1125,vd1123),vf(vd1136,vd1123))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f2295,plain,(
% 87.77/11.50 ~rless(vf(vd1125,vd1123),vf(vd1136,vd1123))|spl0_154),
% 87.77/11.50 inference(component_clause,[status(thm)],[f2293])).
% 87.77/11.50 fof(f2296,plain,(
% 87.77/11.50 ~rless(vf(vd1125,vd1123),vf(vd1136,vd1123))|~rreal(vf(vd1136,vd1123))|~rreal(vf(vd1125,vd1123))),
% 87.77/11.50 inference(resolution,[status(thm)],[f2072,f1652])).
% 87.77/11.50 fof(f2297,plain,(
% 87.77/11.50 ~spl0_154|~spl0_117|~spl0_116),
% 87.77/11.50 inference(split_clause,[status(thm)],[f2296,f2293,f2062,f2059])).
% 87.77/11.50 fof(f2377,plain,(
% 87.77/11.50 ![X0,X1]: (~ron(X0,vd1139)|~rpoint(X0)|~rpoint(X1)|rless(vf(vd1123,X1),vf(vd1123,X0))|~rinside(X1,vd1139))),
% 87.77/11.50 inference(resolution,[status(thm)],[f696,f119])).
% 87.77/11.50 fof(f2774,plain,(
% 87.77/11.50 spl0_276 <=> rless(vf(vd1123,vd1127),vf(vd1123,vd1127))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f2775,plain,(
% 87.77/11.50 rless(vf(vd1123,vd1127),vf(vd1123,vd1127))|~spl0_276),
% 87.77/11.50 inference(component_clause,[status(thm)],[f2774])).
% 87.77/11.50 fof(f2989,plain,(
% 87.77/11.50 spl0_282 <=> rpoint(vd1127)),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f2991,plain,(
% 87.77/11.50 ~rpoint(vd1127)|spl0_282),
% 87.77/11.50 inference(component_clause,[status(thm)],[f2989])).
% 87.77/11.50 fof(f2992,plain,(
% 87.77/11.50 spl0_283 <=> rpoint(vd1129)),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f2994,plain,(
% 87.77/11.50 ~rpoint(vd1129)|spl0_283),
% 87.77/11.50 inference(component_clause,[status(thm)],[f2992])).
% 87.77/11.50 fof(f3022,plain,(
% 87.77/11.50 $false|spl0_282),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f2991,f656])).
% 87.77/11.50 fof(f3023,plain,(
% 87.77/11.50 spl0_282),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3022])).
% 87.77/11.50 fof(f3024,plain,(
% 87.77/11.50 $false|spl0_283),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f2994,f655])).
% 87.77/11.50 fof(f3025,plain,(
% 87.77/11.50 spl0_283),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3024])).
% 87.77/11.50 fof(f3043,plain,(
% 87.77/11.50 spl0_290 <=> rreal(vf(vd1123,vd1127))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3045,plain,(
% 87.77/11.50 ~rreal(vf(vd1123,vd1127))|spl0_290),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3043])).
% 87.77/11.50 fof(f3064,plain,(
% 87.77/11.50 ~rreal(vf(vd1123,vd1127))|~spl0_276),
% 87.77/11.50 inference(resolution,[status(thm)],[f2775,f699])).
% 87.77/11.50 fof(f3065,plain,(
% 87.77/11.50 $false|~spl0_276),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3064,f1421])).
% 87.77/11.50 fof(f3066,plain,(
% 87.77/11.50 ~spl0_276),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3065])).
% 87.77/11.50 fof(f3067,plain,(
% 87.77/11.50 $false|spl0_290),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3045,f1421])).
% 87.77/11.50 fof(f3068,plain,(
% 87.77/11.50 spl0_290),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3067])).
% 87.77/11.50 fof(f3357,plain,(
% 87.77/11.50 spl0_295 <=> rreal(vf(vd1123,vd1129))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3359,plain,(
% 87.77/11.50 ~rreal(vf(vd1123,vd1129))|spl0_295),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3357])).
% 87.77/11.50 fof(f3371,plain,(
% 87.77/11.50 $false|spl0_295),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3359,f1423])).
% 87.77/11.50 fof(f3372,plain,(
% 87.77/11.50 spl0_295),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3371])).
% 87.77/11.50 fof(f3380,plain,(
% 87.77/11.50 spl0_298 <=> rreal(sk0_47(vd1123,vd1123,vd1123))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3382,plain,(
% 87.77/11.50 ~rreal(sk0_47(vd1123,vd1123,vd1123))|spl0_298),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3380])).
% 87.77/11.50 fof(f3394,plain,(
% 87.77/11.50 $false|spl0_298),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3382,f2046])).
% 87.77/11.50 fof(f3395,plain,(
% 87.77/11.50 spl0_298),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3394])).
% 87.77/11.50 fof(f3405,plain,(
% 87.77/11.50 spl0_301 <=> rreal(sk0_47(vd1123,vd1123,vd1125))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3407,plain,(
% 87.77/11.50 ~rreal(sk0_47(vd1123,vd1123,vd1125))|spl0_301),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3405])).
% 87.77/11.50 fof(f3419,plain,(
% 87.77/11.50 $false|spl0_301),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3407,f2045])).
% 87.77/11.50 fof(f3420,plain,(
% 87.77/11.50 spl0_301),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3419])).
% 87.77/11.50 fof(f3424,plain,(
% 87.77/11.50 spl0_304 <=> rreal(sk0_47(vd1123,vd1123,vd1127))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3426,plain,(
% 87.77/11.50 ~rreal(sk0_47(vd1123,vd1123,vd1127))|spl0_304),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3424])).
% 87.77/11.50 fof(f3438,plain,(
% 87.77/11.50 $false|spl0_304),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3426,f2044])).
% 87.77/11.50 fof(f3439,plain,(
% 87.77/11.50 spl0_304),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3438])).
% 87.77/11.50 fof(f3443,plain,(
% 87.77/11.50 spl0_307 <=> rreal(sk0_47(vd1123,vd1123,vd1129))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3445,plain,(
% 87.77/11.50 ~rreal(sk0_47(vd1123,vd1123,vd1129))|spl0_307),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3443])).
% 87.77/11.50 fof(f3457,plain,(
% 87.77/11.50 $false|spl0_307),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3445,f2043])).
% 87.77/11.50 fof(f3458,plain,(
% 87.77/11.50 spl0_307),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3457])).
% 87.77/11.50 fof(f3462,plain,(
% 87.77/11.50 spl0_310 <=> rreal(sk0_47(vd1123,vd1127,vd1123))),
% 87.77/11.50 introduced(split_symbol_definition)).
% 87.77/11.50 fof(f3464,plain,(
% 87.77/11.50 ~rreal(sk0_47(vd1123,vd1127,vd1123))|spl0_310),
% 87.77/11.50 inference(component_clause,[status(thm)],[f3462])).
% 87.77/11.50 fof(f3476,plain,(
% 87.77/11.50 $false|spl0_310),
% 87.77/11.50 inference(forward_subsumption_resolution,[status(thm)],[f3464,f1939])).
% 87.77/11.50 fof(f3477,plain,(
% 87.77/11.50 spl0_310),
% 87.77/11.50 inference(contradiction_clause,[status(thm)],[f3476])).
% 87.77/11.50 fof(f4735,plain,(
% 87.77/11.50 spl0_535 <=> ~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1123,vd1136))|~rinside(X0,vd1139)),
% 87.77/11.51 introduced(split_symbol_definition)).
% 87.77/11.51 fof(f4736,plain,(
% 87.77/11.51 ![X0]: (~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1123,vd1136))|~rinside(X0,vd1139)|~spl0_535)),
% 87.77/11.51 inference(component_clause,[status(thm)],[f4735])).
% 87.77/11.51 fof(f4738,plain,(
% 87.77/11.51 ![X0]: (~rpoint(vd1136)|~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1123,vd1136))|~rinside(X0,vd1139))),
% 87.77/11.51 inference(resolution,[status(thm)],[f2377,f118])).
% 87.77/11.51 fof(f4739,plain,(
% 87.77/11.51 ~spl0_16|spl0_535),
% 87.77/11.51 inference(split_clause,[status(thm)],[f4738,f923,f4735])).
% 87.77/11.51 fof(f4740,plain,(
% 87.77/11.51 ![X0]: (~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1136,vd1123))|~rinside(X0,vd1139)|~spl0_535)),
% 87.77/11.51 inference(forward_demodulation,[status(thm)],[f1606,f4736])).
% 87.77/11.51 fof(f4751,plain,(
% 87.77/11.51 spl0_538 <=> rless(vf(vd1123,vd1125),vf(vd1136,vd1123))),
% 87.77/11.51 introduced(split_symbol_definition)).
% 87.77/11.51 fof(f4752,plain,(
% 87.77/11.51 rless(vf(vd1123,vd1125),vf(vd1136,vd1123))|~spl0_538),
% 87.77/11.51 inference(component_clause,[status(thm)],[f4751])).
% 87.77/11.51 fof(f4754,plain,(
% 87.77/11.51 ~rpoint(vd1125)|rless(vf(vd1123,vd1125),vf(vd1136,vd1123))|~spl0_535),
% 87.77/11.51 inference(resolution,[status(thm)],[f4740,f117])).
% 87.77/11.51 fof(f4755,plain,(
% 87.77/11.51 ~spl0_11|spl0_538|~spl0_535),
% 87.77/11.51 inference(split_clause,[status(thm)],[f4754,f896,f4751,f4735])).
% 87.77/11.51 fof(f4757,plain,(
% 87.77/11.51 rless(vf(vd1125,vd1123),vf(vd1136,vd1123))|~spl0_538),
% 87.77/11.51 inference(forward_demodulation,[status(thm)],[f1650,f4752])).
% 87.77/11.51 fof(f4758,plain,(
% 87.77/11.51 $false|spl0_154|~spl0_538),
% 87.77/11.51 inference(forward_subsumption_resolution,[status(thm)],[f4757,f2295])).
% 87.77/11.51 fof(f4759,plain,(
% 87.77/11.51 spl0_154|~spl0_538),
% 87.77/11.51 inference(contradiction_clause,[status(thm)],[f4758])).
% 87.77/11.51 fof(f4760,plain,(
% 87.77/11.51 $false),
% 87.77/11.51 inference(sat_refutation,[status(thm)],[f915,f986,f2074,f2076,f2297,f3023,f3025,f3066,f3068,f3372,f3395,f3420,f3439,f3458,f3477,f4739,f4755,f4759])).
% 87.77/11.51 % SZS output end CNFRefutation for theBenchmark.p
% 88.38/11.56 % Elapsed time: 11.203971 seconds
% 88.38/11.56 % CPU time: 88.646550 seconds
% 88.38/11.56 % Total memory used: 338.577 MB
% 88.38/11.56 % Net memory used: 325.569 MB
%------------------------------------------------------------------------------