%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG070+1 : 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 : n002.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 0.15s 10.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG070+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.57 % Computer : n002.cluster.edu
% 0.12/10.57 % Model : x86_64 x86_64
% 0.12/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.57 % Memory : 8046.5625MB
% 0.12/10.57 % OS : Linux 6.8.0-71-generic
% 0.12/10.57 % CPULimit : 300
% 0.12/10.57 % WCLimit : 300
% 0.12/10.57 % DateTime : Mon Sep 21 04:20:30 UTC 2026
% 0.12/10.58 % CPUTime :
% 0.12/10.59 % Drodi V4.1.1
% 0.15/10.83 % Refutation found
% 0.15/10.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.83 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.83 fof(f10,axiom,(
% 0.15/10.83 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f25,axiom,(
% 0.15/10.83 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(W1,W0) ) ) )),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f52,hypothesis,(
% 0.15/10.83 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f53,hypothesis,(
% 0.15/10.83 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f54,hypothesis,(
% 0.15/10.83 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f60,hypothesis,(
% 0.15/10.83 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f61,conjecture,(
% 0.15/10.83 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
% 0.15/10.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.83 fof(f62,negated_conjecture,(
% 0.15/10.83 ~(sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) )),
% 0.15/10.83 inference(negated_conjecture,[status(cth)],[f61])).
% 0.15/10.83 fof(f84,plain,(
% 0.15/10.83 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 0.15/10.83 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.15/10.83 fof(f85,plain,(
% 0.15/10.83 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f84])).
% 0.15/10.83 fof(f126,plain,(
% 0.15/10.83 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(W1,W0)))),
% 0.15/10.83 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.15/10.83 fof(f127,plain,(
% 0.15/10.83 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f126])).
% 0.15/10.83 fof(f187,plain,(
% 0.15/10.83 aScalar0(xR)),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f52])).
% 0.15/10.83 fof(f189,plain,(
% 0.15/10.83 aScalar0(xP)),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f53])).
% 0.15/10.83 fof(f191,plain,(
% 0.15/10.83 aScalar0(xS)),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f54])).
% 0.15/10.83 fof(f199,plain,(
% 0.15/10.83 ~sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f60])).
% 0.15/10.83 fof(f200,plain,(
% 0.15/10.83 ~sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 0.15/10.83 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/10.83 fof(f223,plain,(
% 0.15/10.83 ![X0]: (~aScalar0(X0)|aScalar0(sdtpldt0(xP,X0)))),
% 0.15/10.83 inference(resolution,[status(thm)],[f85,f189])).
% 0.15/10.83 fof(f224,plain,(
% 0.15/10.83 ![X0]: (~aScalar0(X0)|aScalar0(sdtpldt0(xR,X0)))),
% 0.15/10.83 inference(resolution,[status(thm)],[f85,f187])).
% 0.15/10.83 fof(f241,plain,(
% 0.15/10.83 aScalar0(sdtpldt0(xP,xP))),
% 0.15/10.83 inference(resolution,[status(thm)],[f223,f189])).
% 0.15/10.83 fof(f871,definition,(
% 0.15/10.83 sQ62_spl <=> (aScalar0(sdtpldt0(xR,xS)))),
% 0.15/10.83 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.15/10.83 fof(f872,plain,(
% 0.15/10.83 aScalar0(sdtpldt0(xR,xS))|~sQ62_spl),
% 0.15/10.83 inference(component_clause,[status(thm)],[f871])).
% 0.15/10.83 fof(f873,plain,(
% 0.15/10.83 ~aScalar0(sdtpldt0(xR,xS))|sQ62_spl),
% 0.15/10.83 inference(component_clause,[status(thm)],[f871])).
% 0.15/10.83 fof(f929,plain,(
% 0.15/10.83 aScalar0(sdtpldt0(xR,xS))),
% 0.15/10.83 inference(resolution,[status(thm)],[f224,f191])).
% 0.15/10.83 fof(f939,plain,(
% 0.15/10.83 $false|sQ62_spl),
% 0.15/10.83 inference(forward_subsumption_resolution,[status(thm)],[f929,f873])).
% 0.15/10.83 fof(f940,plain,(
% 0.15/10.83 sQ62_spl),
% 0.15/10.83 inference(contradiction_clause,[status(thm)],[f939])).
% 0.15/10.83 fof(f1421,plain,(
% 0.15/10.83 ![X0]: (~aScalar0(X0)|sdtlseqdt0(sdtpldt0(xR,xS),X0)|sdtlseqdt0(X0,sdtpldt0(xR,xS))|~sQ62_spl)),
% 0.15/10.83 inference(resolution,[status(thm)],[f872,f127])).
% 0.15/10.83 fof(f3953,plain,(
% 0.15/10.83 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))|~sQ62_spl),
% 0.15/10.83 inference(resolution,[status(thm)],[f1421,f241])).
% 0.15/10.83 fof(f4412,definition,(
% 0.15/10.83 sQ246_spl <=> (sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)))),
% 0.15/10.83 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 0.15/10.83 fof(f4413,plain,(
% 0.15/10.83 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|~sQ246_spl),
% 0.15/10.83 inference(component_clause,[status(thm)],[f4412])).
% 0.15/10.83 fof(f4415,definition,(
% 0.15/10.83 sQ247_spl <=> (sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)))),
% 0.15/10.83 introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition])).
% 0.15/10.83 fof(f4416,plain,(
% 0.15/10.83 sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))|~sQ247_spl),
% 0.15/10.83 inference(component_clause,[status(thm)],[f4415])).
% 0.15/10.83 fof(f4418,plain,(
% 0.15/10.83 sQ246_spl|sQ247_spl|~sQ62_spl),
% 0.15/10.83 inference(split_clause,[status(thm)],[f3953,f4412,f4415,f871])).
% 0.15/10.83 fof(f4510,plain,(
% 0.15/10.83 $false|~sQ246_spl),
% 0.15/10.83 inference(forward_subsumption_resolution,[status(thm)],[f4413,f200])).
% 0.15/10.83 fof(f4511,plain,(
% 0.15/10.83 ~sQ246_spl),
% 0.15/10.83 inference(contradiction_clause,[status(thm)],[f4510])).
% 0.15/10.83 fof(f4512,plain,(
% 0.15/10.83 $false|~sQ247_spl),
% 0.15/10.83 inference(forward_subsumption_resolution,[status(thm)],[f4416,f199])).
% 0.15/10.83 fof(f4513,plain,(
% 0.15/10.83 ~sQ247_spl),
% 0.15/10.83 inference(contradiction_clause,[status(thm)],[f4512])).
% 0.15/10.83 fof(f4514,plain,(
% 0.15/10.83 $false),
% 0.15/10.83 inference(sat_refutation,[status(thm)],[f940,f4418,f4511,f4513])).
% 0.15/10.83 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.85 % Elapsed time: 0.256013 seconds
% 0.15/10.85 % CPU time: 1.798481 seconds
% 0.15/10.85 % Total memory used: 136.928 MB
% 0.15/10.85 % Net memory used: 134.497 MB
%------------------------------------------------------------------------------