%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM561+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 : n011.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 01:43:13 PM UTC 2026
% Result : Theorem 0.02s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+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
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:40:25 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.39 fof(f12,axiom,(
% 0.02/0.39 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f64,axiom,(
% 0.02/0.39 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f68,definition,(
% 0.02/0.39 (! [W0] :( aFunction0(W0)=> (! [W1] :( aSubsetOf0(W1,szDzozmdt0(W0))=> (! [W2] :( W2 = sdtlcdtrc0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> (? [W4] :( aElementOf0(W4,W1)& sdtlpdtrp0(W0,W4) = W3 ) )) )) ) )) )) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f69,hypothesis,(
% 0.02/0.39 aFunction0(xF) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f70,hypothesis,(
% 0.02/0.39 aElementOf0(xx,szDzozmdt0(xF)) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f71,conjecture,(
% 0.02/0.39 aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f72,negated_conjecture,(
% 0.02/0.39 ~(aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) )),
% 0.02/0.39 inference(negated_conjecture,[status(cth)],[f71])).
% 0.02/0.39 fof(f107,plain,(
% 0.02/0.39 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.02/0.39 fof(f108,plain,(
% 0.02/0.39 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f107])).
% 0.02/0.39 fof(f281,plain,(
% 0.02/0.39 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.02/0.39 fof(f282,plain,(
% 0.02/0.39 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f281])).
% 0.02/0.39 fof(f298,plain,(
% 0.02/0.39 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: (W2=sdtlcdtrc0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.02/0.39 fof(f299,plain,(
% 0.02/0.39 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: ((~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))))))&(W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 0.02/0.39 inference(NNF_transformation,[status(thm)],[f298])).
% 0.02/0.39 fof(f300,plain,(
% 0.02/0.39 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f299])).
% 0.02/0.39 fof(f301,plain,(
% 0.02/0.39 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElementOf0(sK13_skl(W3,W2,W1,W0),W1)&sdtlpdtrp0(W0,sK13_skl(W3,W2,W1,W0))=W3)))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sK14_skl(W2,W1,W0),W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=sK14_skl(W2,W1,W0))))&(aElementOf0(sK14_skl(W2,W1,W0),W2)|(aElementOf0(sK15_skl(W2,W1,W0),W1)&sdtlpdtrp0(W0,sK15_skl(W2,W1,W0))=sK14_skl(W2,W1,W0)))))))))))),
% 0.02/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(W4,sK13_skl(W3,W2,W1,W0)),skolemize(W3,sK14_skl(W2,W1,W0)),skolemize(W4,sK15_skl(W2,W1,W0))],[f300])).
% 0.02/0.39 fof(f305,plain,(
% 0.02/0.39 ![X0,X1,X2,X3,X4]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~X2=sdtlcdtrc0(X0,X1)|aElementOf0(X3,X2)|~aElementOf0(X4,X1)|~sdtlpdtrp0(X0,X4)=X3)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f301])).
% 0.02/0.40 fof(f309,plain,(
% 0.02/0.40 aFunction0(xF)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.02/0.40 fof(f310,plain,(
% 0.02/0.40 aElementOf0(xx,szDzozmdt0(xF))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f70])).
% 0.02/0.40 fof(f311,plain,(
% 0.02/0.40 ~aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f72])).
% 0.02/0.40 fof(f352,plain,(
% 0.02/0.40 ![X0,X1,X2]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,X1))|~aElementOf0(X2,X1))),
% 0.02/0.40 inference(destructive_equality_resolution,[status(thm)],[f305])).
% 0.02/0.40 fof(f372,plain,(
% 0.02/0.40 ![X0]: (aSubsetOf0(szDzozmdt0(X0),szDzozmdt0(X0))|~aFunction0(X0))),
% 0.02/0.40 inference(resolution,[status(thm)],[f108,f282])).
% 0.02/0.40 fof(f373,plain,(
% 0.02/0.40 aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF))),
% 0.02/0.40 inference(resolution,[status(thm)],[f372,f309])).
% 0.02/0.40 fof(f392,plain,(
% 0.02/0.40 ![X0]: (~aFunction0(xF)|aElementOf0(sdtlpdtrp0(xF,X0),sdtlcdtrc0(xF,szDzozmdt0(xF)))|~aElementOf0(X0,szDzozmdt0(xF)))),
% 0.02/0.40 inference(resolution,[status(thm)],[f373,f352])).
% 0.02/0.40 fof(f399,plain,(
% 0.02/0.40 ![X0]: (aElementOf0(sdtlpdtrp0(xF,X0),sdtlcdtrc0(xF,szDzozmdt0(xF)))|~aElementOf0(X0,szDzozmdt0(xF)))),
% 0.02/0.40 inference(forward_subsumption_resolution,[status(thm)],[f392,f309])).
% 0.02/0.40 fof(f414,plain,(
% 0.02/0.40 ~aElementOf0(xx,szDzozmdt0(xF))),
% 0.02/0.40 inference(resolution,[status(thm)],[f399,f311])).
% 0.02/0.40 fof(f416,plain,(
% 0.02/0.40 $false),
% 0.02/0.40 inference(forward_subsumption_resolution,[status(thm)],[f414,f310])).
% 0.02/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.055124 seconds
% 0.02/0.42 % CPU time: 0.155713 seconds
% 0.02/0.42 % Total memory used: 87.330 MB
% 0.02/0.42 % Net memory used: 87.241 MB
%------------------------------------------------------------------------------