TSTP Solution File: GEO285+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO285+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 20:17:52 EDT 2024
% Result : Theorem 6.99s 1.31s
% Output : CNFRefutation 7.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO285+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:05:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.38 % Drodi V3.6.0
% 6.99/1.31 % Refutation found
% 6.99/1.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.99/1.31 % SZS output start CNFRefutation for theBenchmark
% 6.99/1.31 fof(f1,conjecture,(
% 6.99/1.31 ~ rinside(vd1125,vd1152) ),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f2,negated_conjecture,(
% 6.99/1.31 ~(~ rinside(vd1125,vd1152) )),
% 6.99/1.31 inference(negated_conjecture,[status(cth)],[f1])).
% 6.99/1.31 fof(f3,axiom,(
% 6.99/1.31 ( ron(vd1127,vd1152)& rcenter(vd1123,vd1152)& rcircle(vd1152)& ron(vd1125,vd1151)& ron(vd1123,vd1151) ) ),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f5,axiom,(
% 6.99/1.31 vd1123 = vd1129 ),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f15,axiom,(
% 6.99/1.31 ( 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) ) ),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f19,axiom,(
% 6.99/1.31 (! [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) ) ) )),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f38,axiom,(
% 6.99/1.31 (! [Vd741,Vd742] :( ( (? [Vd745] :( Vd742 = Vd745& rpoint(Vd745) ))& (? [Vd744] :( Vd741 = Vd744& rpoint(Vd744) ) ))=> (? [Vd747] :( vf(Vd741,Vd742) = Vd747& rreal(Vd747) ) )) )),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f39,axiom,(
% 6.99/1.31 (! [Vd713,Vd714] :( ( Vd713 = Vd714& rreal(Vd714) )=> ~ rless(Vd713,Vd713) ) )),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f40,axiom,(
% 6.99/1.31 (! [Vd706,Vd707,Vd708,Vd709] :( ( rless(Vd706,Vd708)& Vd708 = Vd709& rreal(Vd709)& Vd706 = Vd707& rreal(Vd707) )=> ( ~ rless(Vd708,Vd706)| Vd706 = Vd708 ) ) )),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f68,axiom,(
% 6.99/1.31 (! [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) ) )),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f125,axiom,(
% 6.99/1.31 (! [Vd761,Vd762] :( ( (? [Vd765] :( Vd762 = Vd765& rpoint(Vd765) ))& (? [Vd764] :( Vd761 = Vd764& rpoint(Vd764) ) ))=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ) )),
% 6.99/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.99/1.31 fof(f135,plain,(
% 6.99/1.31 rinside(vd1125,vd1152)),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f2])).
% 6.99/1.31 fof(f136,plain,(
% 6.99/1.31 ron(vd1127,vd1152)),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f3])).
% 6.99/1.31 fof(f137,plain,(
% 6.99/1.31 rcenter(vd1123,vd1152)),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f3])).
% 6.99/1.31 fof(f142,plain,(
% 6.99/1.31 vd1123=vd1129),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f5])).
% 6.99/1.31 fof(f165,plain,(
% 6.99/1.31 rless(vf(vd1127,vd1129),vf(vd1123,vd1125))),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f168,plain,(
% 6.99/1.31 vd1129=vd1130),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f169,plain,(
% 6.99/1.31 rpoint(vd1130)),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f170,plain,(
% 6.99/1.31 vd1127=vd1128),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f171,plain,(
% 6.99/1.31 rpoint(vd1128)),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f172,plain,(
% 6.99/1.31 vd1125=vd1126),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f173,plain,(
% 6.99/1.31 rpoint(vd1126)),
% 6.99/1.31 inference(cnf_transformation,[status(esa)],[f15])).
% 6.99/1.31 fof(f193,plain,(
% 6.99/1.31 ![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)))),
% 6.99/1.31 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 6.99/1.31 fof(f194,plain,(
% 6.99/1.31 ![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))))),
% 6.99/1.31 inference(NNF_transformation,[status(esa)],[f193])).
% 7.45/1.32 fof(f196,plain,(
% 7.45/1.32 ![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))),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f194])).
% 7.45/1.32 fof(f257,plain,(
% 7.45/1.32 ![Vd741,Vd742]: (((![Vd745]: (~Vd742=Vd745|~rpoint(Vd745)))|(![Vd744]: (~Vd741=Vd744|~rpoint(Vd744))))|(?[Vd747]: (vf(Vd741,Vd742)=Vd747&rreal(Vd747))))),
% 7.45/1.32 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 7.45/1.32 fof(f258,plain,(
% 7.45/1.32 ![Vd741,Vd742]: (((![Vd745]: (~Vd742=Vd745|~rpoint(Vd745)))|(![Vd744]: (~Vd741=Vd744|~rpoint(Vd744))))|(vf(Vd741,Vd742)=sk0_7(Vd742,Vd741)&rreal(sk0_7(Vd742,Vd741))))),
% 7.45/1.32 inference(skolemization,[status(esa)],[f257])).
% 7.45/1.32 fof(f259,plain,(
% 7.45/1.32 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=sk0_7(X0,X2))),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f258])).
% 7.45/1.32 fof(f260,plain,(
% 7.45/1.32 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|rreal(sk0_7(X0,X2)))),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f258])).
% 7.45/1.32 fof(f261,plain,(
% 7.45/1.32 ![Vd713,Vd714]: ((~Vd713=Vd714|~rreal(Vd714))|~rless(Vd713,Vd713))),
% 7.45/1.32 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 7.45/1.32 fof(f262,plain,(
% 7.45/1.32 ![Vd713]: ((![Vd714]: (~Vd713=Vd714|~rreal(Vd714)))|~rless(Vd713,Vd713))),
% 7.45/1.32 inference(miniscoping,[status(esa)],[f261])).
% 7.45/1.32 fof(f263,plain,(
% 7.45/1.32 ![X0,X1]: (~X0=X1|~rreal(X1)|~rless(X0,X0))),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f262])).
% 7.45/1.32 fof(f264,plain,(
% 7.45/1.32 ![Vd706,Vd707,Vd708,Vd709]: (((((~rless(Vd706,Vd708)|~Vd708=Vd709)|~rreal(Vd709))|~Vd706=Vd707)|~rreal(Vd707))|(~rless(Vd708,Vd706)|Vd706=Vd708))),
% 7.45/1.32 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 7.45/1.32 fof(f265,plain,(
% 7.45/1.32 ![Vd706,Vd708]: ((![Vd707]: (((![Vd709]: ((~rless(Vd706,Vd708)|~Vd708=Vd709)|~rreal(Vd709)))|~Vd706=Vd707)|~rreal(Vd707)))|(~rless(Vd708,Vd706)|Vd706=Vd708))),
% 7.45/1.32 inference(miniscoping,[status(esa)],[f264])).
% 7.45/1.32 fof(f266,plain,(
% 7.45/1.32 ![X0,X1,X2,X3]: (~rless(X0,X1)|~X1=X2|~rreal(X2)|~X0=X3|~rreal(X3)|~rless(X1,X0)|X0=X1)),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f265])).
% 7.45/1.32 fof(f381,plain,(
% 7.45/1.32 ![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))),
% 7.45/1.32 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 7.45/1.32 fof(f382,plain,(
% 7.45/1.32 ![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))),
% 7.45/1.32 inference(miniscoping,[status(esa)],[f381])).
% 7.45/1.32 fof(f383,plain,(
% 7.45/1.32 ![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))),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f382])).
% 7.45/1.32 fof(f636,plain,(
% 7.45/1.32 ![Vd761,Vd762]: (((![Vd765]: (~Vd762=Vd765|~rpoint(Vd765)))|(![Vd764]: (~Vd761=Vd764|~rpoint(Vd764))))|vf(Vd761,Vd762)=vf(Vd762,Vd761))),
% 7.45/1.32 inference(pre_NNF_transformation,[status(esa)],[f125])).
% 7.45/1.32 fof(f637,plain,(
% 7.45/1.32 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=vf(X0,X2))),
% 7.45/1.32 inference(cnf_transformation,[status(esa)],[f636])).
% 7.45/1.32 fof(f841,plain,(
% 7.45/1.32 rless(vf(vd1127,vd1123),vf(vd1123,vd1125))),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f142,f165])).
% 7.45/1.32 fof(f842,plain,(
% 7.45/1.32 vd1123=vd1130),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f142,f168])).
% 7.45/1.32 fof(f843,plain,(
% 7.45/1.32 rpoint(vd1123)),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f842,f169])).
% 7.45/1.32 fof(f844,plain,(
% 7.45/1.32 rpoint(vd1127)),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f170,f171])).
% 7.45/1.32 fof(f845,plain,(
% 7.45/1.32 rpoint(vd1125)),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f172,f173])).
% 7.45/1.32 fof(f854,plain,(
% 7.45/1.32 ![X0,X1,X2,X3]: (~ron(X0,X1)|~rcenter(X2,X1)|~rpoint(X0)|~rpoint(X3)|rless(vf(X2,X3),vf(X2,X0))|~rinside(X3,X1))),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f196])).
% 7.45/1.32 fof(f873,plain,(
% 7.45/1.32 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|vf(X1,X0)=sk0_7(X0,X1))),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f259])).
% 7.45/1.32 fof(f874,plain,(
% 7.45/1.32 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|rreal(sk0_7(X0,X1)))),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f260])).
% 7.45/1.32 fof(f875,plain,(
% 7.45/1.32 ![X0]: (~rreal(X0)|~rless(X0,X0))),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f263])).
% 7.45/1.32 fof(f876,plain,(
% 7.45/1.32 ![X0,X1]: (~rless(X0,X1)|~rreal(X1)|~rreal(X0)|~rless(X1,X0)|X0=X1)),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f266])).
% 7.45/1.32 fof(f928,plain,(
% 7.45/1.32 ![X0,X1,X2]: (~rless(X0,X1)|~rless(X2,X0)|~rreal(X1)|~rreal(X0)|~rreal(X2)|rless(X2,X1))),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f383])).
% 7.45/1.32 fof(f1046,plain,(
% 7.45/1.32 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|vf(X1,X0)=vf(X0,X1))),
% 7.45/1.32 inference(destructive_equality_resolution,[status(esa)],[f637])).
% 7.45/1.32 fof(f1081,plain,(
% 7.45/1.32 spl0_41 <=> rpoint(vd1127)),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1083,plain,(
% 7.45/1.32 ~rpoint(vd1127)|spl0_41),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1081])).
% 7.45/1.32 fof(f1086,plain,(
% 7.45/1.32 $false|spl0_41),
% 7.45/1.32 inference(forward_subsumption_resolution,[status(thm)],[f1083,f844])).
% 7.45/1.32 fof(f1087,plain,(
% 7.45/1.32 spl0_41),
% 7.45/1.32 inference(contradiction_clause,[status(thm)],[f1086])).
% 7.45/1.32 fof(f1107,plain,(
% 7.45/1.32 spl0_47 <=> rpoint(vd1125)),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1109,plain,(
% 7.45/1.32 ~rpoint(vd1125)|spl0_47),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1107])).
% 7.45/1.32 fof(f1132,plain,(
% 7.45/1.32 $false|spl0_47),
% 7.45/1.32 inference(forward_subsumption_resolution,[status(thm)],[f1109,f845])).
% 7.45/1.32 fof(f1133,plain,(
% 7.45/1.32 spl0_47),
% 7.45/1.32 inference(contradiction_clause,[status(thm)],[f1132])).
% 7.45/1.32 fof(f1561,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|rreal(sk0_7(vd1123,X0)))),
% 7.45/1.32 inference(resolution,[status(thm)],[f874,f843])).
% 7.45/1.32 fof(f1567,plain,(
% 7.45/1.32 rreal(sk0_7(vd1123,vd1125))),
% 7.45/1.32 inference(resolution,[status(thm)],[f1561,f845])).
% 7.45/1.32 fof(f1568,plain,(
% 7.45/1.32 rreal(sk0_7(vd1123,vd1127))),
% 7.45/1.32 inference(resolution,[status(thm)],[f1561,f844])).
% 7.45/1.32 fof(f1575,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|vf(vd1125,X0)=sk0_7(X0,vd1125))),
% 7.45/1.32 inference(resolution,[status(thm)],[f873,f845])).
% 7.45/1.32 fof(f1576,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|vf(vd1127,X0)=sk0_7(X0,vd1127))),
% 7.45/1.32 inference(resolution,[status(thm)],[f873,f844])).
% 7.45/1.32 fof(f1581,plain,(
% 7.45/1.32 vf(vd1125,vd1123)=sk0_7(vd1123,vd1125)),
% 7.45/1.32 inference(resolution,[status(thm)],[f1575,f843])).
% 7.45/1.32 fof(f1583,plain,(
% 7.45/1.32 rreal(vf(vd1125,vd1123))),
% 7.45/1.32 inference(backward_demodulation,[status(thm)],[f1581,f1567])).
% 7.45/1.32 fof(f1587,plain,(
% 7.45/1.32 vf(vd1127,vd1123)=sk0_7(vd1123,vd1127)),
% 7.45/1.32 inference(resolution,[status(thm)],[f1576,f843])).
% 7.45/1.32 fof(f1590,plain,(
% 7.45/1.32 rreal(vf(vd1127,vd1123))),
% 7.45/1.32 inference(backward_demodulation,[status(thm)],[f1587,f1568])).
% 7.45/1.32 fof(f1604,plain,(
% 7.45/1.32 spl0_128 <=> rless(vf(vd1123,vd1125),vf(vd1127,vd1123))),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1607,plain,(
% 7.45/1.32 spl0_129 <=> rreal(vf(vd1127,vd1123))),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1609,plain,(
% 7.45/1.32 ~rreal(vf(vd1127,vd1123))|spl0_129),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1607])).
% 7.45/1.32 fof(f1610,plain,(
% 7.45/1.32 spl0_130 <=> rreal(vf(vd1123,vd1125))),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1612,plain,(
% 7.45/1.32 ~rreal(vf(vd1123,vd1125))|spl0_130),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1610])).
% 7.45/1.32 fof(f1613,plain,(
% 7.45/1.32 spl0_131 <=> vf(vd1123,vd1125)=vf(vd1127,vd1123)),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1614,plain,(
% 7.45/1.32 vf(vd1123,vd1125)=vf(vd1127,vd1123)|~spl0_131),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1613])).
% 7.45/1.32 fof(f1616,plain,(
% 7.45/1.32 ~rless(vf(vd1123,vd1125),vf(vd1127,vd1123))|~rreal(vf(vd1127,vd1123))|~rreal(vf(vd1123,vd1125))|vf(vd1123,vd1125)=vf(vd1127,vd1123)),
% 7.45/1.32 inference(resolution,[status(thm)],[f876,f841])).
% 7.45/1.32 fof(f1617,plain,(
% 7.45/1.32 ~spl0_128|~spl0_129|~spl0_130|spl0_131),
% 7.45/1.32 inference(split_clause,[status(thm)],[f1616,f1604,f1607,f1610,f1613])).
% 7.45/1.32 fof(f1618,plain,(
% 7.45/1.32 $false|spl0_129),
% 7.45/1.32 inference(forward_subsumption_resolution,[status(thm)],[f1609,f1590])).
% 7.45/1.32 fof(f1619,plain,(
% 7.45/1.32 spl0_129),
% 7.45/1.32 inference(contradiction_clause,[status(thm)],[f1618])).
% 7.45/1.32 fof(f1697,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|vf(vd1123,X0)=vf(X0,vd1123))),
% 7.45/1.32 inference(resolution,[status(thm)],[f1046,f843])).
% 7.45/1.32 fof(f1701,plain,(
% 7.45/1.32 vf(vd1123,vd1127)=vf(vd1127,vd1123)),
% 7.45/1.32 inference(resolution,[status(thm)],[f1697,f844])).
% 7.45/1.32 fof(f1702,plain,(
% 7.45/1.32 vf(vd1123,vd1125)=vf(vd1125,vd1123)),
% 7.45/1.32 inference(resolution,[status(thm)],[f1697,f845])).
% 7.45/1.32 fof(f1709,plain,(
% 7.45/1.32 ~rreal(vf(vd1125,vd1123))|spl0_130),
% 7.45/1.32 inference(backward_demodulation,[status(thm)],[f1702,f1612])).
% 7.45/1.32 fof(f1710,plain,(
% 7.45/1.32 $false|spl0_130),
% 7.45/1.32 inference(forward_subsumption_resolution,[status(thm)],[f1709,f1583])).
% 7.45/1.32 fof(f1711,plain,(
% 7.45/1.32 spl0_130),
% 7.45/1.32 inference(contradiction_clause,[status(thm)],[f1710])).
% 7.45/1.32 fof(f1713,plain,(
% 7.45/1.32 rless(vf(vd1127,vd1123),vf(vd1125,vd1123))),
% 7.45/1.32 inference(backward_demodulation,[status(thm)],[f1702,f841])).
% 7.45/1.32 fof(f1784,plain,(
% 7.45/1.32 spl0_136 <=> rreal(vf(vd1125,vd1123))),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1786,plain,(
% 7.45/1.32 ~rreal(vf(vd1125,vd1123))|spl0_136),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1784])).
% 7.45/1.32 fof(f1798,plain,(
% 7.45/1.32 ![X0,X1]: (~rless(X0,X1)|~rless(X1,X0)|~rreal(X1)|~rreal(X0)|~rreal(X1)|~rreal(X1))),
% 7.45/1.32 inference(resolution,[status(thm)],[f928,f875])).
% 7.45/1.32 fof(f1799,plain,(
% 7.45/1.32 ![X0,X1]: (~rless(X0,X1)|~rless(X1,X0)|~rreal(X1)|~rreal(X0))),
% 7.45/1.32 inference(duplicate_literals_removal,[status(esa)],[f1798])).
% 7.45/1.32 fof(f1800,plain,(
% 7.45/1.32 $false|spl0_136),
% 7.45/1.32 inference(forward_subsumption_resolution,[status(thm)],[f1786,f1583])).
% 7.45/1.32 fof(f1801,plain,(
% 7.45/1.32 spl0_136),
% 7.45/1.32 inference(contradiction_clause,[status(thm)],[f1800])).
% 7.45/1.32 fof(f1802,plain,(
% 7.45/1.32 vf(vd1125,vd1123)=vf(vd1127,vd1123)|~spl0_131),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f1702,f1614])).
% 7.45/1.32 fof(f1806,plain,(
% 7.45/1.32 vf(vd1123,vd1127)=vf(vd1125,vd1123)|~spl0_131),
% 7.45/1.32 inference(backward_demodulation,[status(thm)],[f1802,f1701])).
% 7.45/1.32 fof(f1863,plain,(
% 7.45/1.32 ![X0,X1]: (~ron(X0,vd1152)|~rpoint(X0)|~rpoint(X1)|rless(vf(vd1123,X1),vf(vd1123,X0))|~rinside(X1,vd1152))),
% 7.45/1.32 inference(resolution,[status(thm)],[f854,f137])).
% 7.45/1.32 fof(f1878,plain,(
% 7.45/1.32 spl0_143 <=> ~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1123,vd1127))|~rinside(X0,vd1152)),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1879,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1123,vd1127))|~rinside(X0,vd1152)|~spl0_143)),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1878])).
% 7.45/1.32 fof(f1881,plain,(
% 7.45/1.32 ![X0]: (~rpoint(vd1127)|~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1123,vd1127))|~rinside(X0,vd1152))),
% 7.45/1.32 inference(resolution,[status(thm)],[f1863,f136])).
% 7.45/1.32 fof(f1882,plain,(
% 7.45/1.32 ~spl0_41|spl0_143),
% 7.45/1.32 inference(split_clause,[status(thm)],[f1881,f1081,f1878])).
% 7.45/1.32 fof(f1883,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1125,vd1123))|~rinside(X0,vd1152)|~spl0_131|~spl0_143)),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f1806,f1879])).
% 7.45/1.32 fof(f1894,plain,(
% 7.45/1.32 spl0_146 <=> rless(vf(vd1123,vd1125),vf(vd1125,vd1123))),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1895,plain,(
% 7.45/1.32 rless(vf(vd1123,vd1125),vf(vd1125,vd1123))|~spl0_146),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1894])).
% 7.45/1.32 fof(f1897,plain,(
% 7.45/1.32 ~rpoint(vd1125)|rless(vf(vd1123,vd1125),vf(vd1125,vd1123))|~spl0_131|~spl0_143),
% 7.45/1.32 inference(resolution,[status(thm)],[f1883,f135])).
% 7.45/1.32 fof(f1898,plain,(
% 7.45/1.32 ~spl0_47|spl0_146|~spl0_131|~spl0_143),
% 7.45/1.32 inference(split_clause,[status(thm)],[f1897,f1107,f1894,f1613,f1878])).
% 7.45/1.32 fof(f1900,plain,(
% 7.45/1.32 ![X0]: (~rpoint(X0)|rless(vf(vd1123,X0),vf(vd1127,vd1123))|~rinside(X0,vd1152)|~spl0_143)),
% 7.45/1.32 inference(backward_demodulation,[status(thm)],[f1701,f1879])).
% 7.45/1.32 fof(f1905,plain,(
% 7.45/1.32 spl0_147 <=> rless(vf(vd1125,vd1123),vf(vd1127,vd1123))),
% 7.45/1.32 introduced(split_symbol_definition)).
% 7.45/1.32 fof(f1907,plain,(
% 7.45/1.32 ~rless(vf(vd1125,vd1123),vf(vd1127,vd1123))|spl0_147),
% 7.45/1.32 inference(component_clause,[status(thm)],[f1905])).
% 7.45/1.32 fof(f1908,plain,(
% 7.45/1.32 ~rless(vf(vd1125,vd1123),vf(vd1127,vd1123))|~rreal(vf(vd1127,vd1123))|~rreal(vf(vd1125,vd1123))),
% 7.45/1.32 inference(resolution,[status(thm)],[f1713,f1799])).
% 7.45/1.32 fof(f1909,plain,(
% 7.45/1.32 ~spl0_147|~spl0_129|~spl0_136),
% 7.45/1.32 inference(split_clause,[status(thm)],[f1908,f1905,f1607,f1784])).
% 7.45/1.32 fof(f1954,plain,(
% 7.45/1.32 ~rpoint(vd1125)|rless(vf(vd1123,vd1125),vf(vd1127,vd1123))|~spl0_143),
% 7.45/1.32 inference(resolution,[status(thm)],[f1900,f135])).
% 7.45/1.32 fof(f1955,plain,(
% 7.45/1.32 ~spl0_47|spl0_128|~spl0_143),
% 7.45/1.32 inference(split_clause,[status(thm)],[f1954,f1107,f1604,f1878])).
% 7.45/1.32 fof(f1958,plain,(
% 7.45/1.32 rless(vf(vd1125,vd1123),vf(vd1125,vd1123))|~spl0_146),
% 7.45/1.32 inference(forward_demodulation,[status(thm)],[f1702,f1895])).
% 7.45/1.33 fof(f1959,plain,(
% 7.45/1.33 ~rless(vf(vd1125,vd1123),vf(vd1125,vd1123))|~spl0_131|spl0_147),
% 7.45/1.33 inference(forward_demodulation,[status(thm)],[f1802,f1907])).
% 7.45/1.33 fof(f1960,plain,(
% 7.45/1.33 $false|~spl0_146|~spl0_131|spl0_147),
% 7.45/1.33 inference(forward_subsumption_resolution,[status(thm)],[f1959,f1958])).
% 7.45/1.33 fof(f1961,plain,(
% 7.45/1.33 ~spl0_146|~spl0_131|spl0_147),
% 7.45/1.33 inference(contradiction_clause,[status(thm)],[f1960])).
% 7.45/1.33 fof(f1962,plain,(
% 7.45/1.33 $false),
% 7.45/1.33 inference(sat_refutation,[status(thm)],[f1087,f1133,f1617,f1619,f1711,f1801,f1882,f1898,f1909,f1955,f1961])).
% 7.45/1.33 % SZS output end CNFRefutation for theBenchmark.p
% 7.45/1.33 % Elapsed time: 0.974407 seconds
% 7.45/1.33 % CPU time: 7.511614 seconds
% 7.45/1.33 % Total memory used: 121.318 MB
% 7.45/1.33 % Net memory used: 118.813 MB
%------------------------------------------------------------------------------