TSTP Solution File: RNG060+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:37:51 EDT 2024
% Result : Theorem 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.31 % Computer : n028.cluster.edu
% 0.15/0.31 % Model : x86_64 x86_64
% 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31 % Memory : 8042.1875MB
% 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Mon Apr 29 22:37:44 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34 fof(f12,axiom,(
% 0.15/0.34 (! [W0] :( aScalar0(W0)=> aScalar0(smndt0(W0)) ) )),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f16,axiom,(
% 0.15/0.34 (! [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))) ) )),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f52,hypothesis,(
% 0.15/0.34 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f54,hypothesis,(
% 0.15/0.34 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f58,hypothesis,(
% 0.15/0.34 ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)& sdtasdt0(smndt0(xS),xR) = smndt0(xN)& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f59,conjecture,(
% 0.15/0.34 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f60,negated_conjecture,(
% 0.15/0.34 ~(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) )),
% 0.15/0.34 inference(negated_conjecture,[status(cth)],[f59])).
% 0.15/0.34 fof(f86,plain,(
% 0.15/0.34 ![W0]: (~aScalar0(W0)|aScalar0(smndt0(W0)))),
% 0.15/0.34 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.15/0.34 fof(f87,plain,(
% 0.15/0.34 ![X0]: (~aScalar0(X0)|aScalar0(smndt0(X0)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f86])).
% 0.15/0.34 fof(f105,plain,(
% 0.15/0.34 ![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))))),
% 0.15/0.34 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.15/0.34 fof(f106,plain,(
% 0.15/0.34 ![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))))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f105])).
% 0.15/0.34 fof(f185,plain,(
% 0.15/0.34 aScalar0(xR)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f52])).
% 0.15/0.34 fof(f189,plain,(
% 0.15/0.34 aScalar0(xS)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f54])).
% 0.15/0.34 fof(f195,plain,(
% 0.15/0.34 sdtasdt0(xR,smndt0(xS))=smndt0(xN)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f58])).
% 0.15/0.34 fof(f196,plain,(
% 0.15/0.34 sdtasdt0(smndt0(xS),xR)=smndt0(xN)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f58])).
% 0.15/0.34 fof(f197,plain,(
% 0.15/0.34 sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f58])).
% 0.15/0.34 fof(f198,plain,(
% 0.15/0.34 ~sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f60])).
% 0.15/0.34 fof(f216,plain,(
% 0.15/0.34 spl0_4 <=> aScalar0(xR)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f218,plain,(
% 0.15/0.34 ~aScalar0(xR)|spl0_4),
% 0.15/0.34 inference(component_clause,[status(thm)],[f216])).
% 0.15/0.34 fof(f219,plain,(
% 0.15/0.34 spl0_5 <=> aScalar0(xS)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f221,plain,(
% 0.15/0.34 ~aScalar0(xS)|spl0_5),
% 0.15/0.34 inference(component_clause,[status(thm)],[f219])).
% 0.15/0.34 fof(f227,plain,(
% 0.15/0.34 $false|spl0_5),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f221,f189])).
% 0.15/0.34 fof(f228,plain,(
% 0.15/0.34 spl0_5),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f227])).
% 0.15/0.34 fof(f229,plain,(
% 0.15/0.34 $false|spl0_4),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f218,f185])).
% 0.15/0.34 fof(f230,plain,(
% 0.15/0.34 spl0_4),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f229])).
% 0.15/0.34 fof(f231,plain,(
% 0.15/0.34 spl0_7 <=> aScalar0(smndt0(xS))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f233,plain,(
% 0.15/0.34 ~aScalar0(smndt0(xS))|spl0_7),
% 0.15/0.34 inference(component_clause,[status(thm)],[f231])).
% 0.15/0.34 fof(f239,plain,(
% 0.15/0.34 ~aScalar0(xS)|spl0_7),
% 0.15/0.34 inference(resolution,[status(thm)],[f233,f87])).
% 0.15/0.35 fof(f240,plain,(
% 0.15/0.35 ~spl0_5|spl0_7),
% 0.15/0.35 inference(split_clause,[status(thm)],[f239,f219,f231])).
% 0.15/0.35 fof(f284,plain,(
% 0.15/0.35 spl0_16 <=> ~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))))),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f285,plain,(
% 0.15/0.35 ![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_16)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f284])).
% 0.15/0.35 fof(f287,plain,(
% 0.15/0.35 ![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)))))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f195,f106])).
% 0.15/0.35 fof(f288,plain,(
% 0.15/0.35 ~spl0_4|spl0_16|~spl0_7),
% 0.15/0.35 inference(split_clause,[status(thm)],[f287,f216,f284,f231])).
% 0.15/0.35 fof(f364,plain,(
% 0.15/0.35 spl0_32 <=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))))),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f365,plain,(
% 0.15/0.35 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_32),
% 0.15/0.35 inference(component_clause,[status(thm)],[f364])).
% 0.15/0.35 fof(f367,plain,(
% 0.15/0.35 ~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_16),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f196,f285])).
% 0.15/0.35 fof(f368,plain,(
% 0.15/0.35 ~spl0_7|~spl0_4|spl0_32|~spl0_16),
% 0.15/0.35 inference(split_clause,[status(thm)],[f367,f231,f216,f364,f284])).
% 0.15/0.35 fof(f391,plain,(
% 0.15/0.35 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))|~spl0_32),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f197,f365])).
% 0.15/0.35 fof(f392,plain,(
% 0.15/0.35 $false|~spl0_32),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f391,f198])).
% 0.15/0.35 fof(f393,plain,(
% 0.15/0.35 ~spl0_32),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f392])).
% 0.15/0.35 fof(f394,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(sat_refutation,[status(thm)],[f228,f230,f240,f288,f368,f393])).
% 0.15/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.35 % Elapsed time: 0.027740 seconds
% 0.15/0.35 % CPU time: 0.101500 seconds
% 0.15/0.35 % Total memory used: 30.665 MB
% 0.15/0.35 % Net memory used: 30.539 MB
%------------------------------------------------------------------------------