%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG101+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 : n012.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 0.12s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG101+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 04:19:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.45 fof(f37,definition,(
% 0.12/0.45 (! [W0] :( aElement0(W0)=> (! [W1] :( W1 = slsdtgt0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> (? [W3] :( aElement0(W3)& sdtasdt0(W0,W3) = W2 ) )) )) ) )) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f38,hypothesis,(
% 0.12/0.45 aElement0(xc) ),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f39,hypothesis,(
% 0.12/0.45 ( aElementOf0(xx,slsdtgt0(xc))& aElementOf0(xy,slsdtgt0(xc))& aElement0(xz) ) ),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f40,conjecture,(
% 0.12/0.45 (? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xx ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f41,negated_conjecture,(
% 0.12/0.45 ~((? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xx ) ))),
% 0.12/0.45 inference(negated_conjecture,[status(cth)],[f40])).
% 0.12/0.45 fof(f181,plain,(
% 0.12/0.45 ![W0]: (~aElement0(W0)|(![W1]: (W1=slsdtgt0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(?[W3]: (aElement0(W3)&sdtasdt0(W0,W3)=W2))))))))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.12/0.45 fof(f182,plain,(
% 0.12/0.45 ![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))))))))))),
% 0.12/0.45 inference(NNF_transformation,[status(thm)],[f181])).
% 0.12/0.45 fof(f183,plain,(
% 0.12/0.45 ![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))))))))))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f182])).
% 0.12/0.45 fof(f184,plain,(
% 0.12/0.45 ![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)))))))))),
% 0.12/0.45 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))],[f183])).
% 0.12/0.45 fof(f186,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~aElement0(X0)|~X1=slsdtgt0(X0)|~aElementOf0(X2,X1)|aElement0(sK17_skl(X2,X1,X0)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f184])).
% 0.12/0.45 fof(f187,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~aElement0(X0)|~X1=slsdtgt0(X0)|~aElementOf0(X2,X1)|sdtasdt0(X0,sK17_skl(X2,X1,X0))=X2)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f184])).
% 0.12/0.45 fof(f192,plain,(
% 0.12/0.45 aElement0(xc)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.45 fof(f193,plain,(
% 0.12/0.45 aElementOf0(xx,slsdtgt0(xc))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.45 fof(f196,plain,(
% 0.12/0.45 (![W0]: (~aElement0(W0)|~sdtasdt0(xc,W0)=xx))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.12/0.45 fof(f197,plain,(
% 0.12/0.45 ![X0]: (~aElement0(X0)|~sdtasdt0(xc,X0)=xx)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f196])).
% 0.12/0.45 fof(f224,plain,(
% 0.12/0.45 ![X0,X1]: (~aElement0(X0)|~aElementOf0(X1,slsdtgt0(X0))|aElement0(sK17_skl(X1,slsdtgt0(X0),X0)))),
% 0.12/0.45 inference(destructive_equality_resolution,[status(thm)],[f186])).
% 0.12/0.45 fof(f225,plain,(
% 0.12/0.45 ![X0,X1]: (~aElement0(X0)|~aElementOf0(X1,slsdtgt0(X0))|sdtasdt0(X0,sK17_skl(X1,slsdtgt0(X0),X0))=X1)),
% 0.12/0.45 inference(destructive_equality_resolution,[status(thm)],[f187])).
% 0.12/0.45 fof(f2558,plain,(
% 0.12/0.45 ~aElement0(xc)|aElement0(sK17_skl(xx,slsdtgt0(xc),xc))),
% 0.12/0.45 inference(resolution,[status(thm)],[f224,f193])).
% 0.12/0.45 fof(f2560,plain,(
% 0.12/0.45 aElement0(sK17_skl(xx,slsdtgt0(xc),xc))),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2558,f192])).
% 0.12/0.45 fof(f2562,plain,(
% 0.12/0.45 ~aElement0(xc)|sdtasdt0(xc,sK17_skl(xx,slsdtgt0(xc),xc))=xx),
% 0.12/0.45 inference(resolution,[status(thm)],[f225,f193])).
% 0.12/0.45 fof(f2564,plain,(
% 0.12/0.45 sdtasdt0(xc,sK17_skl(xx,slsdtgt0(xc),xc))=xx),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2562,f192])).
% 0.12/0.45 fof(f2867,plain,(
% 0.12/0.45 ~aElement0(sK17_skl(xx,slsdtgt0(xc),xc))),
% 0.12/0.45 inference(resolution,[status(thm)],[f2564,f197])).
% 0.12/0.45 fof(f2870,plain,(
% 0.12/0.45 $false),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2867,f2560])).
% 0.12/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.46 % Elapsed time: 0.160896 seconds
% 0.12/0.46 % CPU time: 1.087924 seconds
% 0.12/0.46 % Total memory used: 114.036 MB
% 0.12/0.46 % Net memory used: 110.492 MB
%------------------------------------------------------------------------------