TSTP Solution File: RNG059+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:37:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f12,axiom,(
% 0.19/0.41 (! [W0] :( aScalar0(W0)=> aScalar0(smndt0(W0)) ) )),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f14,axiom,(
% 0.19/0.41 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))& sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) )),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f17,axiom,(
% 0.19/0.41 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))& sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) )),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f18,axiom,(
% 0.19/0.41 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) )),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f52,hypothesis,(
% 0.19/0.41 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f54,hypothesis,(
% 0.19/0.41 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f55,hypothesis,(
% 0.19/0.41 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f58,conjecture,(
% 0.19/0.41 sdtasdt0(smndt0(xS),xR) = smndt0(xN) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f59,negated_conjecture,(
% 0.19/0.41 ~(sdtasdt0(smndt0(xS),xR) = smndt0(xN) )),
% 0.19/0.41 inference(negated_conjecture,[status(cth)],[f58])).
% 0.19/0.41 fof(f85,plain,(
% 0.19/0.41 ![W0]: (~aScalar0(W0)|aScalar0(smndt0(W0)))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.19/0.41 fof(f86,plain,(
% 0.19/0.41 ![X0]: (~aScalar0(X0)|aScalar0(smndt0(X0)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f85])).
% 0.19/0.41 fof(f96,plain,(
% 0.19/0.41 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|(((sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0))&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.41 fof(f100,plain,(
% 0.19/0.41 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f96])).
% 0.19/0.41 fof(f106,plain,(
% 0.19/0.41 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.19/0.41 fof(f107,plain,(
% 0.19/0.41 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,smndt0(X1))=smndt0(sdtasdt0(X0,X1)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.19/0.41 fof(f108,plain,(
% 0.19/0.41 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(smndt0(X0),X1)=smndt0(sdtasdt0(X0,X1)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.19/0.41 fof(f109,plain,(
% 0.19/0.41 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.19/0.41 fof(f110,plain,(
% 0.19/0.41 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(smndt0(X0),smndt0(X1))=sdtasdt0(X0,X1))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f109])).
% 0.19/0.41 fof(f190,plain,(
% 0.19/0.41 aScalar0(xR)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f52])).
% 0.19/0.41 fof(f194,plain,(
% 0.19/0.41 aScalar0(xS)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f54])).
% 0.19/0.41 fof(f196,plain,(
% 0.19/0.41 aScalar0(xN)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f55])).
% 0.19/0.41 fof(f197,plain,(
% 0.19/0.41 xN=sdtasdt0(xR,xS)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f55])).
% 0.19/0.41 fof(f200,plain,(
% 0.19/0.41 ~sdtasdt0(smndt0(xS),xR)=smndt0(xN)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f59])).
% 0.19/0.41 fof(f201,plain,(
% 0.19/0.41 spl0_0 <=> ~aScalar0(X0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f202,plain,(
% 0.19/0.41 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f201])).
% 0.19/0.41 fof(f212,plain,(
% 0.19/0.41 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f213,plain,(
% 0.19/0.41 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f212])).
% 0.19/0.41 fof(f215,plain,(
% 0.19/0.41 spl0_3|spl0_0),
% 0.19/0.41 inference(split_clause,[status(thm)],[f100,f212,f201])).
% 0.19/0.41 fof(f218,plain,(
% 0.19/0.41 $false|~spl0_0),
% 0.19/0.41 inference(backward_subsumption_resolution,[status(thm)],[f196,f202])).
% 0.19/0.41 fof(f219,plain,(
% 0.19/0.41 ~spl0_0),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f218])).
% 0.19/0.41 fof(f220,plain,(
% 0.19/0.41 spl0_4 <=> aScalar0(xR)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f222,plain,(
% 0.19/0.41 ~aScalar0(xR)|spl0_4),
% 0.19/0.41 inference(component_clause,[status(thm)],[f220])).
% 0.19/0.41 fof(f223,plain,(
% 0.19/0.41 spl0_5 <=> aScalar0(xS)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f225,plain,(
% 0.19/0.41 ~aScalar0(xS)|spl0_5),
% 0.19/0.41 inference(component_clause,[status(thm)],[f223])).
% 0.19/0.41 fof(f231,plain,(
% 0.19/0.41 $false|spl0_5),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f225,f194])).
% 0.19/0.41 fof(f232,plain,(
% 0.19/0.41 spl0_5),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f231])).
% 0.19/0.41 fof(f233,plain,(
% 0.19/0.41 $false|spl0_4),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f222,f190])).
% 0.19/0.41 fof(f234,plain,(
% 0.19/0.41 spl0_4),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f233])).
% 0.19/0.41 fof(f235,plain,(
% 0.19/0.41 spl0_7 <=> sdtasdt0(smndt0(xR),xS)=smndt0(xN)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f236,plain,(
% 0.19/0.41 sdtasdt0(smndt0(xR),xS)=smndt0(xN)|~spl0_7),
% 0.19/0.41 inference(component_clause,[status(thm)],[f235])).
% 0.19/0.41 fof(f238,plain,(
% 0.19/0.41 ~aScalar0(xR)|~aScalar0(xS)|sdtasdt0(smndt0(xR),xS)=smndt0(xN)),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f197,f108])).
% 0.19/0.41 fof(f239,plain,(
% 0.19/0.41 ~spl0_4|~spl0_5|spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f238,f220,f223,f235])).
% 0.19/0.41 fof(f240,plain,(
% 0.19/0.41 spl0_8 <=> sdtasdt0(xR,smndt0(xS))=smndt0(xN)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f241,plain,(
% 0.19/0.41 sdtasdt0(xR,smndt0(xS))=smndt0(xN)|~spl0_8),
% 0.19/0.41 inference(component_clause,[status(thm)],[f240])).
% 0.19/0.41 fof(f243,plain,(
% 0.19/0.41 ~aScalar0(xR)|~aScalar0(xS)|sdtasdt0(xR,smndt0(xS))=smndt0(xN)),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f197,f107])).
% 0.19/0.41 fof(f244,plain,(
% 0.19/0.41 ~spl0_4|~spl0_5|spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f243,f220,f223,f240])).
% 0.19/0.41 fof(f290,plain,(
% 0.19/0.41 spl0_17 <=> aScalar0(smndt0(xR))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f292,plain,(
% 0.19/0.41 ~aScalar0(smndt0(xR))|spl0_17),
% 0.19/0.41 inference(component_clause,[status(thm)],[f290])).
% 0.19/0.41 fof(f298,plain,(
% 0.19/0.41 spl0_19 <=> sdtasdt0(smndt0(xR),smndt0(xS))=smndt0(smndt0(xN))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f299,plain,(
% 0.19/0.41 sdtasdt0(smndt0(xR),smndt0(xS))=smndt0(smndt0(xN))|~spl0_19),
% 0.19/0.41 inference(component_clause,[status(thm)],[f298])).
% 0.19/0.41 fof(f313,plain,(
% 0.19/0.41 ~aScalar0(xR)|spl0_17),
% 0.19/0.41 inference(resolution,[status(thm)],[f292,f86])).
% 0.19/0.41 fof(f314,plain,(
% 0.19/0.41 ~spl0_4|spl0_17),
% 0.19/0.41 inference(split_clause,[status(thm)],[f313,f220,f290])).
% 0.19/0.41 fof(f315,plain,(
% 0.19/0.41 spl0_22 <=> smndt0(xN)=sdtasdt0(xS,smndt0(xR))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f316,plain,(
% 0.19/0.41 smndt0(xN)=sdtasdt0(xS,smndt0(xR))|~spl0_22),
% 0.19/0.41 inference(component_clause,[status(thm)],[f315])).
% 0.19/0.41 fof(f318,plain,(
% 0.19/0.41 ~aScalar0(smndt0(xR))|~aScalar0(xS)|smndt0(xN)=sdtasdt0(xS,smndt0(xR))|~spl0_3|~spl0_7),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f236,f213])).
% 0.19/0.41 fof(f319,plain,(
% 0.19/0.41 ~spl0_17|~spl0_5|spl0_22|~spl0_3|~spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f318,f290,f223,f315,f212,f235])).
% 0.19/0.41 fof(f322,plain,(
% 0.19/0.41 spl0_23 <=> aScalar0(smndt0(xS))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f324,plain,(
% 0.19/0.41 ~aScalar0(smndt0(xS))|spl0_23),
% 0.19/0.41 inference(component_clause,[status(thm)],[f322])).
% 0.19/0.41 fof(f335,plain,(
% 0.19/0.41 ~aScalar0(xR)|~aScalar0(smndt0(xS))|sdtasdt0(smndt0(xR),smndt0(xS))=smndt0(smndt0(xN))|~spl0_8),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f241,f108])).
% 0.19/0.41 fof(f336,plain,(
% 0.19/0.41 ~spl0_4|~spl0_23|spl0_19|~spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f335,f220,f322,f298,f240])).
% 0.19/0.41 fof(f339,plain,(
% 0.19/0.41 ~aScalar0(xS)|spl0_23),
% 0.19/0.41 inference(resolution,[status(thm)],[f324,f86])).
% 0.19/0.41 fof(f340,plain,(
% 0.19/0.41 ~spl0_5|spl0_23),
% 0.19/0.41 inference(split_clause,[status(thm)],[f339,f223,f322])).
% 0.19/0.41 fof(f351,plain,(
% 0.19/0.41 spl0_28 <=> sdtasdt0(smndt0(xS),smndt0(xR))=smndt0(smndt0(xN))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f352,plain,(
% 0.19/0.42 sdtasdt0(smndt0(xS),smndt0(xR))=smndt0(smndt0(xN))|~spl0_28),
% 0.19/0.42 inference(component_clause,[status(thm)],[f351])).
% 0.19/0.42 fof(f354,plain,(
% 0.19/0.42 ~aScalar0(xS)|~aScalar0(smndt0(xR))|sdtasdt0(smndt0(xS),smndt0(xR))=smndt0(smndt0(xN))|~spl0_22),
% 0.19/0.42 inference(paramodulation,[status(thm)],[f316,f108])).
% 0.19/0.42 fof(f355,plain,(
% 0.19/0.42 ~spl0_5|~spl0_17|spl0_28|~spl0_22),
% 0.19/0.42 inference(split_clause,[status(thm)],[f354,f223,f290,f351,f315])).
% 0.19/0.42 fof(f365,plain,(
% 0.19/0.42 spl0_30 <=> smndt0(smndt0(xN))=sdtasdt0(xR,xS)),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f366,plain,(
% 0.19/0.42 smndt0(smndt0(xN))=sdtasdt0(xR,xS)|~spl0_30),
% 0.19/0.42 inference(component_clause,[status(thm)],[f365])).
% 0.19/0.42 fof(f368,plain,(
% 0.19/0.42 ~aScalar0(xR)|~aScalar0(xS)|smndt0(smndt0(xN))=sdtasdt0(xR,xS)|~spl0_19),
% 0.19/0.42 inference(paramodulation,[status(thm)],[f299,f110])).
% 0.19/0.42 fof(f369,plain,(
% 0.19/0.42 ~spl0_4|~spl0_5|spl0_30|~spl0_19),
% 0.19/0.42 inference(split_clause,[status(thm)],[f368,f220,f223,f365,f298])).
% 0.19/0.42 fof(f390,plain,(
% 0.19/0.42 smndt0(smndt0(xN))=xN|~spl0_30),
% 0.19/0.42 inference(forward_demodulation,[status(thm)],[f197,f366])).
% 0.19/0.42 fof(f396,plain,(
% 0.19/0.42 sdtasdt0(smndt0(xS),smndt0(xR))=xN|~spl0_30|~spl0_28),
% 0.19/0.42 inference(backward_demodulation,[status(thm)],[f390,f352])).
% 0.19/0.42 fof(f485,plain,(
% 0.19/0.42 spl0_50 <=> xN=sdtasdt0(xS,xR)),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f486,plain,(
% 0.19/0.42 xN=sdtasdt0(xS,xR)|~spl0_50),
% 0.19/0.42 inference(component_clause,[status(thm)],[f485])).
% 0.19/0.42 fof(f488,plain,(
% 0.19/0.42 ~aScalar0(xS)|~aScalar0(xR)|xN=sdtasdt0(xS,xR)|~spl0_30|~spl0_28),
% 0.19/0.42 inference(paramodulation,[status(thm)],[f396,f110])).
% 0.19/0.42 fof(f489,plain,(
% 0.19/0.42 ~spl0_5|~spl0_4|spl0_50|~spl0_30|~spl0_28),
% 0.19/0.42 inference(split_clause,[status(thm)],[f488,f223,f220,f485,f365,f351])).
% 0.19/0.42 fof(f535,plain,(
% 0.19/0.42 spl0_58 <=> sdtasdt0(smndt0(xS),xR)=smndt0(xN)),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f536,plain,(
% 0.19/0.42 sdtasdt0(smndt0(xS),xR)=smndt0(xN)|~spl0_58),
% 0.19/0.42 inference(component_clause,[status(thm)],[f535])).
% 0.19/0.42 fof(f538,plain,(
% 0.19/0.42 ~aScalar0(xS)|~aScalar0(xR)|sdtasdt0(smndt0(xS),xR)=smndt0(xN)|~spl0_50),
% 0.19/0.42 inference(paramodulation,[status(thm)],[f486,f108])).
% 0.19/0.42 fof(f539,plain,(
% 0.19/0.42 ~spl0_5|~spl0_4|spl0_58|~spl0_50),
% 0.19/0.42 inference(split_clause,[status(thm)],[f538,f223,f220,f535,f485])).
% 0.19/0.42 fof(f542,plain,(
% 0.19/0.42 $false|~spl0_58),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f536,f200])).
% 0.19/0.42 fof(f543,plain,(
% 0.19/0.42 ~spl0_58),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f542])).
% 0.19/0.42 fof(f544,plain,(
% 0.19/0.42 $false),
% 0.19/0.42 inference(sat_refutation,[status(thm)],[f215,f219,f232,f234,f239,f244,f314,f319,f336,f340,f355,f369,f489,f539,f543])).
% 0.19/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.45/0.67 % Elapsed time: 0.122873 seconds
% 0.45/0.67 % CPU time: 0.191047 seconds
% 0.45/0.67 % Memory used: 20.140 MB
%------------------------------------------------------------------------------