%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG070+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 : n010.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 02:05:16 PM UTC 2026
% Result : Theorem 0.09s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG070+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:17:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.58 % Refutation found
% 0.09/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.58 fof(f10,axiom,(
% 0.09/0.58 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f25,axiom,(
% 0.09/0.58 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(W1,W0) ) ) )),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f52,hypothesis,(
% 0.09/0.58 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f53,hypothesis,(
% 0.09/0.58 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f54,hypothesis,(
% 0.09/0.58 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f60,hypothesis,(
% 0.09/0.58 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f61,conjecture,(
% 0.09/0.58 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
% 0.09/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f62,negated_conjecture,(
% 0.09/0.58 ~(sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) )),
% 0.09/0.58 inference(negated_conjecture,[status(cth)],[f61])).
% 0.09/0.58 fof(f84,plain,(
% 0.09/0.58 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 0.09/0.58 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.58 fof(f85,plain,(
% 0.09/0.58 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.58 fof(f126,plain,(
% 0.09/0.58 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(W1,W0)))),
% 0.09/0.58 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.09/0.58 fof(f127,plain,(
% 0.09/0.58 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f126])).
% 0.09/0.58 fof(f193,plain,(
% 0.09/0.58 aScalar0(xR)),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.58 fof(f195,plain,(
% 0.09/0.58 aScalar0(xP)),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f53])).
% 0.09/0.58 fof(f197,plain,(
% 0.09/0.58 aScalar0(xS)),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/0.58 fof(f205,plain,(
% 0.09/0.58 ~sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.58 fof(f206,plain,(
% 0.09/0.58 ~sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f62])).
% 0.09/0.58 fof(f229,plain,(
% 0.09/0.58 ![X0]: (~aScalar0(X0)|aScalar0(sdtpldt0(xP,X0)))),
% 0.09/0.58 inference(resolution,[status(thm)],[f85,f195])).
% 0.09/0.58 fof(f230,plain,(
% 0.09/0.58 ![X0]: (~aScalar0(X0)|aScalar0(sdtpldt0(xR,X0)))),
% 0.09/0.58 inference(resolution,[status(thm)],[f85,f193])).
% 0.09/0.58 fof(f247,plain,(
% 0.09/0.58 aScalar0(sdtpldt0(xP,xP))),
% 0.09/0.58 inference(resolution,[status(thm)],[f229,f195])).
% 0.09/0.58 fof(f877,definition,(
% 0.09/0.58 sQ62_spl <=> (aScalar0(sdtpldt0(xR,xS)))),
% 0.09/0.58 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.09/0.58 fof(f878,plain,(
% 0.09/0.58 aScalar0(sdtpldt0(xR,xS))|~sQ62_spl),
% 0.09/0.58 inference(component_clause,[status(thm)],[f877])).
% 0.09/0.58 fof(f879,plain,(
% 0.09/0.58 ~aScalar0(sdtpldt0(xR,xS))|sQ62_spl),
% 0.09/0.58 inference(component_clause,[status(thm)],[f877])).
% 0.09/0.58 fof(f935,plain,(
% 0.09/0.58 aScalar0(sdtpldt0(xR,xS))),
% 0.09/0.58 inference(resolution,[status(thm)],[f230,f197])).
% 0.09/0.58 fof(f945,plain,(
% 0.09/0.58 $false|sQ62_spl),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f935,f879])).
% 0.09/0.58 fof(f946,plain,(
% 0.09/0.58 sQ62_spl),
% 0.09/0.58 inference(contradiction_clause,[status(thm)],[f945])).
% 0.09/0.58 fof(f1427,plain,(
% 0.09/0.58 ![X0]: (~aScalar0(X0)|sdtlseqdt0(sdtpldt0(xR,xS),X0)|sdtlseqdt0(X0,sdtpldt0(xR,xS))|~sQ62_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f878,f127])).
% 0.09/0.58 fof(f3959,plain,(
% 0.09/0.58 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))|~sQ62_spl),
% 0.09/0.58 inference(resolution,[status(thm)],[f1427,f247])).
% 0.09/0.58 fof(f4418,definition,(
% 0.09/0.58 sQ246_spl <=> (sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)))),
% 0.09/0.58 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 0.09/0.58 fof(f4419,plain,(
% 0.09/0.58 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|~sQ246_spl),
% 0.09/0.58 inference(component_clause,[status(thm)],[f4418])).
% 0.09/0.58 fof(f4421,definition,(
% 0.09/0.58 sQ247_spl <=> (sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f4422,plain,(
% 0.09/0.59 sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))|~sQ247_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f4421])).
% 0.09/0.59 fof(f4424,plain,(
% 0.09/0.59 sQ246_spl|sQ247_spl|~sQ62_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f3959,f4418,f4421,f877])).
% 0.09/0.59 fof(f4516,plain,(
% 0.09/0.59 $false|~sQ246_spl),
% 0.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f4419,f206])).
% 0.09/0.59 fof(f4517,plain,(
% 0.09/0.59 ~sQ246_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f4516])).
% 0.09/0.59 fof(f4518,plain,(
% 0.09/0.59 $false|~sQ247_spl),
% 0.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f4422,f205])).
% 0.09/0.59 fof(f4519,plain,(
% 0.09/0.59 ~sQ247_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f4518])).
% 0.09/0.59 fof(f4520,plain,(
% 0.09/0.59 $false),
% 0.09/0.59 inference(sat_refutation,[status(thm)],[f946,f4424,f4517,f4519])).
% 0.09/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.14/0.59 % Elapsed time: 0.228895 seconds
% 1.14/0.59 % CPU time: 1.516555 seconds
% 1.14/0.59 % Total memory used: 136.011 MB
% 1.14/0.59 % Net memory used: 134.021 MB
%------------------------------------------------------------------------------