TSTP Solution File: RNG059+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n023.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 20:37:50 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:34:40 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f14,axiom,(
% 0.15/0.32 (! [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) ) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f17,axiom,(
% 0.15/0.32 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))& sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f52,hypothesis,(
% 0.15/0.32 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f54,hypothesis,(
% 0.15/0.32 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f55,hypothesis,(
% 0.15/0.32 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f58,conjecture,(
% 0.15/0.32 sdtasdt0(smndt0(xS),xR) = smndt0(xN) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f59,negated_conjecture,(
% 0.15/0.32 ~(sdtasdt0(smndt0(xS),xR) = smndt0(xN) )),
% 0.15/0.32 inference(negated_conjecture,[status(cth)],[f58])).
% 0.15/0.32 fof(f96,plain,(
% 0.15/0.32 ![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)))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.32 fof(f100,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f96])).
% 0.15/0.32 fof(f106,plain,(
% 0.15/0.32 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.15/0.32 fof(f108,plain,(
% 0.15/0.32 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(smndt0(X0),X1)=smndt0(sdtasdt0(X0,X1)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.32 fof(f190,plain,(
% 0.15/0.32 aScalar0(xR)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f52])).
% 0.15/0.32 fof(f194,plain,(
% 0.15/0.32 aScalar0(xS)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f54])).
% 0.15/0.32 fof(f196,plain,(
% 0.15/0.32 aScalar0(xN)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.32 fof(f197,plain,(
% 0.15/0.32 xN=sdtasdt0(xR,xS)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.32 fof(f200,plain,(
% 0.15/0.32 ~sdtasdt0(smndt0(xS),xR)=smndt0(xN)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f59])).
% 0.15/0.32 fof(f201,plain,(
% 0.15/0.32 spl0_0 <=> ~aScalar0(X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f202,plain,(
% 0.15/0.32 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f201])).
% 0.15/0.32 fof(f212,plain,(
% 0.15/0.32 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f213,plain,(
% 0.15/0.32 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f212])).
% 0.15/0.32 fof(f215,plain,(
% 0.15/0.32 spl0_3|spl0_0),
% 0.15/0.32 inference(split_clause,[status(thm)],[f100,f212,f201])).
% 0.15/0.32 fof(f221,plain,(
% 0.15/0.32 $false|~spl0_0),
% 0.15/0.32 inference(backward_subsumption_resolution,[status(thm)],[f196,f202])).
% 0.15/0.32 fof(f222,plain,(
% 0.15/0.32 ~spl0_0),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f221])).
% 0.15/0.32 fof(f226,plain,(
% 0.15/0.32 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xR)=sdtasdt0(xR,X0)|~spl0_3)),
% 0.15/0.32 inference(resolution,[status(thm)],[f213,f190])).
% 0.15/0.32 fof(f229,plain,(
% 0.15/0.32 sdtasdt0(xS,xR)=sdtasdt0(xR,xS)|~spl0_3),
% 0.15/0.32 inference(resolution,[status(thm)],[f226,f194])).
% 0.15/0.32 fof(f230,plain,(
% 0.15/0.32 sdtasdt0(xS,xR)=xN|~spl0_3),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f197,f229])).
% 0.15/0.32 fof(f237,plain,(
% 0.15/0.32 ![X0]: (~aScalar0(X0)|sdtasdt0(smndt0(X0),xR)=smndt0(sdtasdt0(X0,xR)))),
% 0.15/0.32 inference(resolution,[status(thm)],[f108,f190])).
% 0.15/0.32 fof(f241,plain,(
% 0.15/0.32 sdtasdt0(smndt0(xS),xR)=smndt0(sdtasdt0(xS,xR))),
% 0.15/0.32 inference(resolution,[status(thm)],[f237,f194])).
% 0.15/0.32 fof(f242,plain,(
% 0.15/0.32 sdtasdt0(smndt0(xS),xR)=smndt0(xN)|~spl0_3),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f230,f241])).
% 0.15/0.33 fof(f243,plain,(
% 0.15/0.33 $false|~spl0_3),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f242,f200])).
% 0.15/0.33 fof(f244,plain,(
% 0.15/0.33 ~spl0_3),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f243])).
% 0.15/0.33 fof(f245,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f215,f222,f244])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.33 % Elapsed time: 0.025669 seconds
% 0.15/0.33 % CPU time: 0.100913 seconds
% 0.15/0.33 % Total memory used: 23.235 MB
% 0.15/0.33 % Net memory used: 23.137 MB
%------------------------------------------------------------------------------