%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG102+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 : n001.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 02:05:21 PM UTC 2026
% Result : Theorem 3.52s 0.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG102+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
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 04:25:28 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 3.52/0.89 % Refutation found
% 3.52/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.52/0.89 % SZS output start CNFRefutation for theBenchmark
% 3.52/0.89 fof(f37,definition,(
% 3.52/0.89 (! [W0] :( aElement0(W0)=> (! [W1] :( W1 = slsdtgt0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> (? [W3] :( aElement0(W3)& sdtasdt0(W0,W3) = W2 ) )) )) ) )) )),
% 3.52/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.89 fof(f38,hypothesis,(
% 3.52/0.89 aElement0(xc) ),
% 3.52/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.89 fof(f39,hypothesis,(
% 3.52/0.89 ( aElementOf0(xx,slsdtgt0(xc))& aElementOf0(xy,slsdtgt0(xc))& aElement0(xz) ) ),
% 3.52/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.89 fof(f41,conjecture,(
% 3.52/0.89 (? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xy ) )),
% 3.52/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.89 fof(f42,negated_conjecture,(
% 3.52/0.89 ~((? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xy ) ))),
% 3.52/0.89 inference(negated_conjecture,[status(cth)],[f41])).
% 3.52/0.89 fof(f182,plain,(
% 3.52/0.89 ![W0]: (~aElement0(W0)|(![W1]: (W1=slsdtgt0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(?[W3]: (aElement0(W3)&sdtasdt0(W0,W3)=W2))))))))),
% 3.52/0.89 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 3.52/0.89 fof(f183,plain,(
% 3.52/0.89 ![W0]: (~aElement0(W0)|(![W1]: ((~W1=slsdtgt0(W0)|(aSet0(W1)&(![W2]: ((~aElementOf0(W2,W1)|(?[W3]: (aElement0(W3)&sdtasdt0(W0,W3)=W2)))&(aElementOf0(W2,W1)|(![W3]: (~aElement0(W3)|~sdtasdt0(W0,W3)=W2)))))))&(W1=slsdtgt0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(![W3]: (~aElement0(W3)|~sdtasdt0(W0,W3)=W2)))&(aElementOf0(W2,W1)|(?[W3]: (aElement0(W3)&sdtasdt0(W0,W3)=W2))))))))))),
% 3.52/0.89 inference(NNF_transformation,[status(thm)],[f182])).
% 3.52/0.89 fof(f184,plain,(
% 3.52/0.89 ![W0]: (~aElement0(W0)|((![W1]: (~W1=slsdtgt0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(?[W3]: (aElement0(W3)&sdtasdt0(W0,W3)=W2))))&(![W2]: (aElementOf0(W2,W1)|(![W3]: (~aElement0(W3)|~sdtasdt0(W0,W3)=W2))))))))&(![W1]: (W1=slsdtgt0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(![W3]: (~aElement0(W3)|~sdtasdt0(W0,W3)=W2)))&(aElementOf0(W2,W1)|(?[W3]: (aElement0(W3)&sdtasdt0(W0,W3)=W2))))))))))),
% 3.52/0.89 inference(miniscoping,[status(thm)],[f183])).
% 3.52/0.89 fof(f185,plain,(
% 3.52/0.89 ![W0]: (~aElement0(W0)|((![W1]: (~W1=slsdtgt0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElement0(sK17_skl(W2,W1,W0))&sdtasdt0(W0,sK17_skl(W2,W1,W0))=W2)))&(![W2]: (aElementOf0(W2,W1)|(![W3]: (~aElement0(W3)|~sdtasdt0(W0,W3)=W2))))))))&(![W1]: (W1=slsdtgt0(W0)|(~aSet0(W1)|((~aElementOf0(sK18_skl(W1,W0),W1)|(![W3]: (~aElement0(W3)|~sdtasdt0(W0,W3)=sK18_skl(W1,W0))))&(aElementOf0(sK18_skl(W1,W0),W1)|(aElement0(sK19_skl(W1,W0))&sdtasdt0(W0,sK19_skl(W1,W0))=sK18_skl(W1,W0)))))))))),
% 3.52/0.89 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl]),skolemize(W3,sK17_skl(W2,W1,W0)),skolemize(W2,sK18_skl(W1,W0)),skolemize(W3,sK19_skl(W1,W0))],[f184])).
% 3.52/0.89 fof(f187,plain,(
% 3.52/0.89 ![X0,X1,X2]: (~aElement0(X0)|~X1=slsdtgt0(X0)|~aElementOf0(X2,X1)|aElement0(sK17_skl(X2,X1,X0)))),
% 3.52/0.89 inference(cnf_transformation,[status(thm)],[f185])).
% 3.52/0.89 fof(f188,plain,(
% 3.52/0.89 ![X0,X1,X2]: (~aElement0(X0)|~X1=slsdtgt0(X0)|~aElementOf0(X2,X1)|sdtasdt0(X0,sK17_skl(X2,X1,X0))=X2)),
% 3.52/0.89 inference(cnf_transformation,[status(thm)],[f185])).
% 3.52/0.89 fof(f193,plain,(
% 3.52/0.89 aElement0(xc)),
% 3.52/0.89 inference(cnf_transformation,[status(thm)],[f38])).
% 3.52/0.89 fof(f195,plain,(
% 3.52/0.89 aElementOf0(xy,slsdtgt0(xc))),
% 3.52/0.89 inference(cnf_transformation,[status(thm)],[f39])).
% 3.52/0.89 fof(f199,plain,(
% 3.52/0.89 (![W0]: (~aElement0(W0)|~sdtasdt0(xc,W0)=xy))),
% 3.52/0.89 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 3.52/0.89 fof(f200,plain,(
% 3.52/0.89 ![X0]: (~aElement0(X0)|~sdtasdt0(xc,X0)=xy)),
% 3.52/0.89 inference(cnf_transformation,[status(thm)],[f199])).
% 3.52/0.89 fof(f227,plain,(
% 3.52/0.89 ![X0,X1]: (~aElement0(X0)|~aElementOf0(X1,slsdtgt0(X0))|aElement0(sK17_skl(X1,slsdtgt0(X0),X0)))),
% 3.52/0.89 inference(destructive_equality_resolution,[status(thm)],[f187])).
% 3.52/0.89 fof(f228,plain,(
% 3.52/0.89 ![X0,X1]: (~aElement0(X0)|~aElementOf0(X1,slsdtgt0(X0))|sdtasdt0(X0,sK17_skl(X1,slsdtgt0(X0),X0))=X1)),
% 3.52/0.89 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 3.52/0.89 fof(f561,definition,(
% 3.52/0.89 sQ10_spl <=> (aElement0(xc))),
% 3.52/0.89 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 3.52/0.89 fof(f563,plain,(
% 3.52/0.90 ~aElement0(xc)|sQ10_spl),
% 3.52/0.90 inference(component_clause,[status(thm)],[f561])).
% 3.52/0.90 fof(f669,plain,(
% 3.52/0.90 $false|sQ10_spl),
% 3.52/0.90 inference(forward_subsumption_resolution,[status(thm)],[f563,f193])).
% 3.52/0.90 fof(f670,plain,(
% 3.52/0.90 sQ10_spl),
% 3.52/0.90 inference(contradiction_clause,[status(thm)],[f669])).
% 3.52/0.90 fof(f1130,plain,(
% 3.52/0.90 ~aElement0(xc)|aElement0(sK17_skl(xy,slsdtgt0(xc),xc))),
% 3.52/0.90 inference(resolution,[status(thm)],[f227,f195])).
% 3.52/0.90 fof(f1131,definition,(
% 3.52/0.90 sQ48_spl <=> (aElement0(sK17_skl(xy,slsdtgt0(xc),xc)))),
% 3.52/0.90 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 3.52/0.90 fof(f1134,plain,(
% 3.52/0.90 ~sQ10_spl|sQ48_spl),
% 3.52/0.90 inference(split_clause,[status(thm)],[f1130,f561,f1131])).
% 3.52/0.90 fof(f1560,plain,(
% 3.52/0.90 ~aElement0(xc)|sdtasdt0(xc,sK17_skl(xy,slsdtgt0(xc),xc))=xy),
% 3.52/0.90 inference(resolution,[status(thm)],[f228,f195])).
% 3.52/0.90 fof(f1561,definition,(
% 3.52/0.90 sQ70_spl <=> (sdtasdt0(xc,sK17_skl(xy,slsdtgt0(xc),xc))=xy)),
% 3.52/0.90 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 3.52/0.90 fof(f1562,plain,(
% 3.52/0.90 sdtasdt0(xc,sK17_skl(xy,slsdtgt0(xc),xc))=xy|~sQ70_spl),
% 3.52/0.90 inference(component_clause,[status(thm)],[f1561])).
% 3.52/0.90 fof(f1564,plain,(
% 3.52/0.90 ~sQ10_spl|sQ70_spl),
% 3.52/0.90 inference(split_clause,[status(thm)],[f1560,f561,f1561])).
% 3.52/0.90 fof(f1712,plain,(
% 3.52/0.90 ~aElement0(sK17_skl(xy,slsdtgt0(xc),xc))|~xy=xy|~sQ70_spl),
% 3.52/0.90 inference(paramodulation,[status(thm)],[f1562,f200])).
% 3.52/0.90 fof(f1715,definition,(
% 3.52/0.90 sQ83_spl <=> (xy=xy)),
% 3.52/0.90 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 3.52/0.90 fof(f1717,plain,(
% 3.52/0.90 ~xy=xy|sQ83_spl),
% 3.52/0.90 inference(component_clause,[status(thm)],[f1715])).
% 3.52/0.90 fof(f1718,plain,(
% 3.52/0.90 ~sQ48_spl|~sQ83_spl|~sQ70_spl),
% 3.52/0.90 inference(split_clause,[status(thm)],[f1712,f1131,f1715,f1561])).
% 3.52/0.90 fof(f1727,plain,(
% 3.52/0.90 $false|sQ83_spl),
% 3.52/0.90 inference(trivial_equality_resolution,[status(thm)],[f1717])).
% 3.52/0.90 fof(f1728,plain,(
% 3.52/0.90 sQ83_spl),
% 3.52/0.90 inference(contradiction_clause,[status(thm)],[f1727])).
% 3.52/0.90 fof(f1729,plain,(
% 3.52/0.90 $false),
% 3.52/0.90 inference(sat_refutation,[status(thm)],[f670,f1134,f1564,f1718,f1728])).
% 3.52/0.90 % SZS output end CNFRefutation for theBenchmark.p
% 1.96/0.93 % Elapsed time: 0.569016 seconds
% 1.96/0.93 % CPU time: 4.229176 seconds
% 1.96/0.93 % Total memory used: 171.621 MB
% 1.96/0.93 % Net memory used: 164.231 MB
%------------------------------------------------------------------------------