%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG055+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:05:14 PM UTC 2026
% Result : Theorem 0.43s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG055+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n019.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 04:16:20 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.43/0.62 % Refutation found
% 0.43/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.43/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.43/0.62 fof(f11,axiom,(
% 0.43/0.62 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 0.43/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.43/0.62 fof(f14,axiom,(
% 0.43/0.62 (! [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) ) ) )),
% 0.43/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.43/0.62 fof(f48,hypothesis,(
% 0.43/0.62 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 0.43/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.43/0.62 fof(f51,hypothesis,(
% 0.43/0.62 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 0.43/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.43/0.62 fof(f53,hypothesis,(
% 0.43/0.62 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 0.43/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.43/0.62 fof(f57,conjecture,(
% 0.43/0.62 sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
% 0.43/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.43/0.62 fof(f58,negated_conjecture,(
% 0.43/0.62 ~(sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) )),
% 0.43/0.62 inference(negated_conjecture,[status(cth)],[f57])).
% 0.43/0.62 fof(f82,plain,(
% 0.43/0.62 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 0.43/0.62 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.43/0.62 fof(f83,plain,(
% 0.43/0.62 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f82])).
% 0.43/0.62 fof(f95,plain,(
% 0.43/0.62 ![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)))),
% 0.43/0.62 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.43/0.62 fof(f98,plain,(
% 0.43/0.62 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(sdtasdt0(X0,X1),X2)=sdtasdt0(X0,sdtasdt0(X1,X2)))),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f95])).
% 0.43/0.62 fof(f99,plain,(
% 0.43/0.62 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f95])).
% 0.43/0.62 fof(f181,plain,(
% 0.43/0.62 aScalar0(xE)),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f48])).
% 0.43/0.62 fof(f187,plain,(
% 0.43/0.62 aScalar0(xH)),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f51])).
% 0.43/0.62 fof(f191,plain,(
% 0.43/0.62 aScalar0(xP)),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f53])).
% 0.43/0.62 fof(f192,plain,(
% 0.43/0.62 xP=sdtasdt0(xE,xH)),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f53])).
% 0.43/0.62 fof(f198,plain,(
% 0.43/0.62 ~sdtasdt0(xP,xP)=sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))),
% 0.43/0.62 inference(cnf_transformation,[status(thm)],[f58])).
% 0.43/0.62 fof(f199,definition,(
% 0.43/0.62 ![X0]: (sQ0_spl <=> (~aScalar0(X0)))),
% 0.43/0.62 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.43/0.62 fof(f200,plain,(
% 0.43/0.62 ![X0]: (~aScalar0(X0)|~sQ0_spl)),
% 0.43/0.62 inference(component_clause,[status(thm)],[f199])).
% 0.43/0.62 fof(f210,definition,(
% 0.43/0.62 ![X0,X1]: (sQ3_spl <=> (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)))),
% 0.43/0.62 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.43/0.62 fof(f211,plain,(
% 0.43/0.62 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~sQ3_spl)),
% 0.43/0.62 inference(component_clause,[status(thm)],[f210])).
% 0.43/0.62 fof(f213,plain,(
% 0.43/0.62 sQ3_spl|sQ0_spl),
% 0.43/0.62 inference(split_clause,[status(thm)],[f99,f210,f199])).
% 0.43/0.62 fof(f214,plain,(
% 0.43/0.62 ![X0]: (~aScalar0(X0)|aScalar0(sdtasdt0(xE,X0)))),
% 0.43/0.62 inference(resolution,[status(thm)],[f83,f181])).
% 0.43/0.62 fof(f218,plain,(
% 0.43/0.62 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,xP),X1)=sdtasdt0(X0,sdtasdt0(xP,X1)))),
% 0.43/0.62 inference(resolution,[status(thm)],[f98,f191])).
% 0.43/0.62 fof(f220,plain,(
% 0.43/0.62 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,xH),X1)=sdtasdt0(X0,sdtasdt0(xH,X1)))),
% 0.43/0.62 inference(resolution,[status(thm)],[f98,f187])).
% 0.43/0.62 fof(f221,plain,(
% 0.43/0.62 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xE),xE)=sdtasdt0(X0,sdtasdt0(xE,xE)))),
% 0.43/0.62 inference(resolution,[status(thm)],[f98,f181])).
% 0.43/0.62 fof(f225,plain,(
% 0.43/0.65 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,X1),xE)=sdtasdt0(X0,sdtasdt0(X1,xE)))),
% 0.43/0.65 inference(resolution,[status(thm)],[f98,f181])).
% 0.43/0.65 fof(f227,plain,(
% 0.43/0.65 $false|~sQ0_spl),
% 0.43/0.65 inference(backward_subsumption_resolution,[status(thm)],[f191,f200])).
% 0.43/0.65 fof(f230,plain,(
% 0.43/0.65 ~sQ0_spl),
% 0.43/0.65 inference(contradiction_clause,[status(thm)],[f227])).
% 0.43/0.65 fof(f310,plain,(
% 0.43/0.65 sdtasdt0(sdtasdt0(xH,xE),xE)=sdtasdt0(xH,sdtasdt0(xE,xE))),
% 0.43/0.65 inference(resolution,[status(thm)],[f221,f187])).
% 0.43/0.65 fof(f312,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xE)=sdtasdt0(xE,X0)|~sQ3_spl)),
% 0.43/0.65 inference(resolution,[status(thm)],[f211,f181])).
% 0.43/0.65 fof(f313,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xH)=sdtasdt0(xH,X0)|~sQ3_spl)),
% 0.43/0.65 inference(resolution,[status(thm)],[f211,f187])).
% 0.43/0.65 fof(f325,plain,(
% 0.43/0.65 aScalar0(sdtasdt0(xE,xE))),
% 0.43/0.65 inference(resolution,[status(thm)],[f214,f181])).
% 0.43/0.65 fof(f335,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xP),xE)=sdtasdt0(X0,sdtasdt0(xP,xE)))),
% 0.43/0.65 inference(resolution,[status(thm)],[f218,f181])).
% 0.43/0.65 fof(f346,plain,(
% 0.43/0.65 sdtasdt0(xH,xE)=sdtasdt0(xE,xH)|~sQ3_spl),
% 0.43/0.65 inference(resolution,[status(thm)],[f312,f187])).
% 0.43/0.65 fof(f348,plain,(
% 0.43/0.65 sdtasdt0(xH,xE)=xP|~sQ3_spl),
% 0.43/0.65 inference(forward_demodulation,[status(thm)],[f192,f346])).
% 0.43/0.65 fof(f349,plain,(
% 0.43/0.65 sdtasdt0(xP,xE)=sdtasdt0(xH,sdtasdt0(xE,xE))|~sQ3_spl),
% 0.43/0.65 inference(backward_demodulation,[status(thm)],[f348,f310])).
% 0.43/0.65 fof(f353,plain,(
% 0.43/0.65 sdtasdt0(xP,xH)=sdtasdt0(xH,xP)|~sQ3_spl),
% 0.43/0.65 inference(resolution,[status(thm)],[f313,f191])).
% 0.43/0.65 fof(f365,plain,(
% 0.43/0.65 sdtasdt0(sdtasdt0(xH,xP),xE)=sdtasdt0(xH,sdtasdt0(xP,xE))),
% 0.43/0.65 inference(resolution,[status(thm)],[f335,f187])).
% 0.43/0.65 fof(f369,plain,(
% 0.43/0.65 sdtasdt0(sdtasdt0(xP,xH),xE)=sdtasdt0(xH,sdtasdt0(xP,xE))|~sQ3_spl),
% 0.43/0.65 inference(forward_demodulation,[status(thm)],[f353,f365])).
% 0.43/0.65 fof(f387,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),xE)=sdtasdt0(X0,sdtasdt0(xH,xE)))),
% 0.43/0.65 inference(resolution,[status(thm)],[f225,f187])).
% 0.43/0.65 fof(f389,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),xE)=sdtasdt0(X0,xP)|~sQ3_spl)),
% 0.43/0.65 inference(forward_demodulation,[status(thm)],[f348,f387])).
% 0.43/0.65 fof(f392,plain,(
% 0.43/0.65 sdtasdt0(sdtasdt0(xP,xH),xE)=sdtasdt0(xP,xP)|~sQ3_spl),
% 0.43/0.65 inference(resolution,[status(thm)],[f389,f191])).
% 0.43/0.65 fof(f395,plain,(
% 0.43/0.65 sdtasdt0(xP,xP)=sdtasdt0(xH,sdtasdt0(xP,xE))|~sQ3_spl),
% 0.43/0.65 inference(backward_demodulation,[status(thm)],[f392,f369])).
% 0.43/0.65 fof(f513,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),sdtasdt0(xE,xE))=sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE))))),
% 0.43/0.65 inference(resolution,[status(thm)],[f325,f220])).
% 0.43/0.65 fof(f552,plain,(
% 0.43/0.65 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),sdtasdt0(xE,xE))=sdtasdt0(X0,sdtasdt0(xP,xE))|~sQ3_spl)),
% 0.43/0.65 inference(forward_demodulation,[status(thm)],[f349,f513])).
% 0.43/0.65 fof(f780,plain,(
% 0.43/0.65 sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))=sdtasdt0(xH,sdtasdt0(xP,xE))|~sQ3_spl),
% 0.43/0.65 inference(resolution,[status(thm)],[f552,f187])).
% 0.43/0.65 fof(f785,plain,(
% 0.43/0.65 sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))=sdtasdt0(xP,xP)|~sQ3_spl),
% 0.43/0.65 inference(forward_demodulation,[status(thm)],[f395,f780])).
% 0.43/0.65 fof(f786,plain,(
% 0.43/0.65 $false|~sQ3_spl),
% 0.43/0.65 inference(forward_subsumption_resolution,[status(thm)],[f785,f198])).
% 0.43/0.65 fof(f787,plain,(
% 0.43/0.65 ~sQ3_spl),
% 0.43/0.65 inference(contradiction_clause,[status(thm)],[f786])).
% 0.43/0.65 fof(f788,plain,(
% 0.43/0.65 $false),
% 0.43/0.65 inference(sat_refutation,[status(thm)],[f213,f230,f787])).
% 0.43/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.43/0.66 % Elapsed time: 0.214507 seconds
% 0.43/0.66 % CPU time: 1.387015 seconds
% 0.43/0.66 % Total memory used: 125.055 MB
% 0.43/0.66 % Net memory used: 123.248 MB
%------------------------------------------------------------------------------