TSTP Solution File: RNG060+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG060+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:32:44 EDT 2023
% Result : Theorem 0.13s 0.54s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG060+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n009.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:30:31 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.54 fof(f12,axiom,(
% 0.13/0.54 (! [W0] :( aScalar0(W0)=> aScalar0(smndt0(W0)) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f16,axiom,(
% 0.13/0.54 (! [W0,W1,W2,W3] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2)& aScalar0(W3) )=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f52,hypothesis,(
% 0.13/0.54 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f54,hypothesis,(
% 0.13/0.54 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f58,hypothesis,(
% 0.13/0.54 ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)& sdtasdt0(smndt0(xS),xR) = smndt0(xN)& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f59,conjecture,(
% 0.13/0.54 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f60,negated_conjecture,(
% 0.13/0.54 ~(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) )),
% 0.13/0.54 inference(negated_conjecture,[status(cth)],[f59])).
% 0.13/0.54 fof(f86,plain,(
% 0.13/0.54 ![W0]: (~aScalar0(W0)|aScalar0(smndt0(W0)))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.54 fof(f87,plain,(
% 0.13/0.54 ![X0]: (~aScalar0(X0)|aScalar0(smndt0(X0)))),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f86])).
% 0.13/0.54 fof(f105,plain,(
% 0.13/0.54 ![W0,W1,W2,W3]: ((((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|~aScalar0(W3))|sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.13/0.54 fof(f106,plain,(
% 0.13/0.54 ![X0,X1,X2,X3]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))))),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.54 fof(f191,plain,(
% 0.13/0.54 aScalar0(xR)),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f52])).
% 0.13/0.54 fof(f195,plain,(
% 0.13/0.54 aScalar0(xS)),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f54])).
% 0.13/0.54 fof(f201,plain,(
% 0.13/0.54 sdtasdt0(xR,smndt0(xS))=smndt0(xN)),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f58])).
% 0.13/0.54 fof(f202,plain,(
% 0.13/0.54 sdtasdt0(smndt0(xS),xR)=smndt0(xN)),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f58])).
% 0.13/0.54 fof(f203,plain,(
% 0.13/0.54 sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS)),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f58])).
% 0.13/0.54 fof(f204,plain,(
% 0.13/0.54 ~sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f60])).
% 0.13/0.54 fof(f224,plain,(
% 0.13/0.54 spl0_4 <=> aScalar0(smndt0(xS))),
% 0.13/0.54 introduced(split_symbol_definition)).
% 0.13/0.54 fof(f226,plain,(
% 0.13/0.54 ~aScalar0(smndt0(xS))|spl0_4),
% 0.13/0.54 inference(component_clause,[status(thm)],[f224])).
% 0.13/0.54 fof(f227,plain,(
% 0.13/0.54 spl0_5 <=> aScalar0(xR)),
% 0.13/0.54 introduced(split_symbol_definition)).
% 0.13/0.54 fof(f229,plain,(
% 0.13/0.54 ~aScalar0(xR)|spl0_5),
% 0.13/0.54 inference(component_clause,[status(thm)],[f227])).
% 0.13/0.54 fof(f237,plain,(
% 0.13/0.54 spl0_7 <=> aScalar0(xS)),
% 0.13/0.54 introduced(split_symbol_definition)).
% 0.13/0.54 fof(f239,plain,(
% 0.13/0.54 ~aScalar0(xS)|spl0_7),
% 0.13/0.54 inference(component_clause,[status(thm)],[f237])).
% 0.13/0.54 fof(f245,plain,(
% 0.13/0.54 $false|spl0_7),
% 0.13/0.54 inference(forward_subsumption_resolution,[status(thm)],[f239,f195])).
% 0.13/0.54 fof(f246,plain,(
% 0.13/0.54 spl0_7),
% 0.13/0.54 inference(contradiction_clause,[status(thm)],[f245])).
% 0.13/0.54 fof(f247,plain,(
% 0.13/0.54 $false|spl0_5),
% 0.13/0.54 inference(forward_subsumption_resolution,[status(thm)],[f229,f191])).
% 0.13/0.54 fof(f248,plain,(
% 0.13/0.54 spl0_5),
% 0.13/0.54 inference(contradiction_clause,[status(thm)],[f247])).
% 0.13/0.54 fof(f329,plain,(
% 0.13/0.54 spl0_25 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(xS))))),
% 0.13/0.55 introduced(split_symbol_definition)).
% 0.13/0.55 fof(f330,plain,(
% 0.13/0.55 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(xS))))|~spl0_25)),
% 0.13/0.55 inference(component_clause,[status(thm)],[f329])).
% 0.13/0.55 fof(f332,plain,(
% 0.13/0.55 ![X0,X1]: (~aScalar0(xR)|~aScalar0(X0)|~aScalar0(X1)|~aScalar0(smndt0(xS))|sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(xS)))))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f201,f106])).
% 0.13/0.55 fof(f333,plain,(
% 0.13/0.55 ~spl0_5|spl0_25|~spl0_4),
% 0.13/0.55 inference(split_clause,[status(thm)],[f332,f227,f329,f224])).
% 0.13/0.55 fof(f405,plain,(
% 0.13/0.55 ~aScalar0(xS)|spl0_4),
% 0.13/0.55 inference(resolution,[status(thm)],[f226,f87])).
% 0.13/0.55 fof(f406,plain,(
% 0.13/0.55 ~spl0_7|spl0_4),
% 0.13/0.55 inference(split_clause,[status(thm)],[f405,f237,f224])).
% 0.13/0.55 fof(f4057,plain,(
% 0.13/0.55 spl0_681 <=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))))),
% 0.13/0.55 introduced(split_symbol_definition)).
% 0.13/0.55 fof(f4058,plain,(
% 0.13/0.55 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))))|~spl0_681),
% 0.13/0.55 inference(component_clause,[status(thm)],[f4057])).
% 0.13/0.55 fof(f4060,plain,(
% 0.13/0.55 ~aScalar0(smndt0(xS))|~aScalar0(xR)|sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))))|~spl0_25),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f202,f330])).
% 0.13/0.55 fof(f4061,plain,(
% 0.13/0.55 ~spl0_4|~spl0_5|spl0_681|~spl0_25),
% 0.13/0.55 inference(split_clause,[status(thm)],[f4060,f224,f227,f4057,f329])).
% 0.13/0.55 fof(f4090,plain,(
% 0.13/0.55 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))|~spl0_681),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f203,f4058])).
% 0.13/0.55 fof(f4091,plain,(
% 0.13/0.55 $false|~spl0_681),
% 0.13/0.55 inference(forward_subsumption_resolution,[status(thm)],[f4090,f204])).
% 0.13/0.55 fof(f4092,plain,(
% 0.13/0.55 ~spl0_681),
% 0.13/0.55 inference(contradiction_clause,[status(thm)],[f4091])).
% 0.13/0.55 fof(f4093,plain,(
% 0.13/0.55 $false),
% 0.13/0.55 inference(sat_refutation,[status(thm)],[f246,f248,f333,f406,f4061,f4092])).
% 0.13/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 1.67/0.57 % Elapsed time: 0.265061 seconds
% 1.67/0.57 % CPU time: 1.714573 seconds
% 1.67/0.57 % Memory used: 87.062 MB
%------------------------------------------------------------------------------