%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:05:15 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:14:35 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f14,axiom,(
% 0.13/0.43 (! [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) ) ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f17,axiom,(
% 0.13/0.43 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))& sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f52,hypothesis,(
% 0.13/0.43 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f54,hypothesis,(
% 0.13/0.43 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f55,hypothesis,(
% 0.13/0.43 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f58,conjecture,(
% 0.13/0.43 sdtasdt0(smndt0(xS),xR) = smndt0(xN) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f59,negated_conjecture,(
% 0.13/0.43 ~(sdtasdt0(smndt0(xS),xR) = smndt0(xN) )),
% 0.13/0.43 inference(negated_conjecture,[status(cth)],[f58])).
% 0.13/0.43 fof(f96,plain,(
% 0.13/0.43 ![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)))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.13/0.43 fof(f100,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f96])).
% 0.13/0.43 fof(f106,plain,(
% 0.13/0.43 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.13/0.43 fof(f108,plain,(
% 0.13/0.43 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(smndt0(X0),X1)=smndt0(sdtasdt0(X0,X1)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/0.43 fof(f190,plain,(
% 0.13/0.43 aScalar0(xR)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.43 fof(f194,plain,(
% 0.13/0.43 aScalar0(xS)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.43 fof(f197,plain,(
% 0.13/0.43 xN=sdtasdt0(xR,xS)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.43 fof(f200,plain,(
% 0.13/0.43 ~sdtasdt0(smndt0(xS),xR)=smndt0(xN)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f59])).
% 0.13/0.43 fof(f201,definition,(
% 0.13/0.43 ![X0]: (sQ0_spl <=> (~aScalar0(X0)))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f202,plain,(
% 0.13/0.43 ![X0]: (~aScalar0(X0)|~sQ0_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f201])).
% 0.13/0.43 fof(f212,definition,(
% 0.13/0.43 ![X0,X1]: (sQ3_spl <=> (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f213,plain,(
% 0.13/0.43 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~sQ3_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f212])).
% 0.13/0.43 fof(f215,plain,(
% 0.13/0.43 sQ3_spl|sQ0_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f100,f212,f201])).
% 0.13/0.43 fof(f216,plain,(
% 0.13/0.43 $false|~sQ0_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f190,f202])).
% 0.13/0.43 fof(f217,plain,(
% 0.13/0.43 ~sQ0_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f216])).
% 0.13/0.43 fof(f321,plain,(
% 0.13/0.43 ![X0]: (~aScalar0(X0)|sdtasdt0(smndt0(X0),xR)=smndt0(sdtasdt0(X0,xR)))),
% 0.13/0.43 inference(resolution,[status(thm)],[f108,f190])).
% 0.13/0.43 fof(f327,plain,(
% 0.13/0.43 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xR)=sdtasdt0(xR,X0)|~sQ3_spl)),
% 0.13/0.43 inference(resolution,[status(thm)],[f213,f190])).
% 0.13/0.43 fof(f385,plain,(
% 0.13/0.43 sdtasdt0(xS,xR)=sdtasdt0(xR,xS)|~sQ3_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f327,f194])).
% 0.13/0.43 fof(f387,plain,(
% 0.13/0.43 sdtasdt0(xS,xR)=xN|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f197,f385])).
% 0.13/0.43 fof(f405,plain,(
% 0.13/0.43 sdtasdt0(smndt0(xS),xR)=smndt0(sdtasdt0(xS,xR))),
% 0.13/0.43 inference(resolution,[status(thm)],[f321,f194])).
% 0.13/0.43 fof(f407,plain,(
% 0.13/0.43 sdtasdt0(smndt0(xS),xR)=smndt0(xN)|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f387,f405])).
% 0.13/0.43 fof(f408,plain,(
% 0.13/0.43 $false|~sQ3_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f407,f200])).
% 0.13/0.43 fof(f409,plain,(
% 0.13/0.43 ~sQ3_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f408])).
% 0.13/0.43 fof(f410,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(sat_refutation,[status(thm)],[f215,f217,f409])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.095960 seconds
% 0.13/0.45 % CPU time: 0.460635 seconds
% 0.13/0.45 % Total memory used: 111.872 MB
% 0.13/0.45 % Net memory used: 111.337 MB
%------------------------------------------------------------------------------