%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM587+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:43:17 PM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM587+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 02:45:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f10,definition,(
% 0.15/0.42 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f73,hypothesis,(
% 0.15/0.42 ( aSet0(xT)& isFinite0(xT) ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f76,hypothesis,(
% 0.15/0.42 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f90,hypothesis,(
% 0.15/0.42 ( xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f91,conjecture,(
% 0.15/0.42 aElementOf0(xx,xT) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f92,negated_conjecture,(
% 0.15/0.42 ~(aElementOf0(xx,xT) )),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f91])).
% 0.15/0.42 fof(f117,plain,(
% 0.15/0.42 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.15/0.42 fof(f118,plain,(
% 0.15/0.42 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.15/0.42 inference(NNF_transformation,[status(thm)],[f117])).
% 0.15/0.42 fof(f119,plain,(
% 0.15/0.42 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f118])).
% 0.15/0.42 fof(f120,plain,(
% 0.15/0.42 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sK1_skl(W1,W0),W1)&~aElementOf0(sK1_skl(W1,W0),W0)))))))),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f119])).
% 0.15/0.42 fof(f122,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f120])).
% 0.15/0.42 fof(f349,plain,(
% 0.15/0.42 aSet0(xT)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f73])).
% 0.15/0.42 fof(f356,plain,(
% 0.15/0.42 aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f76])).
% 0.15/0.42 fof(f392,plain,(
% 0.15/0.42 xx=sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.15/0.42 fof(f393,plain,(
% 0.15/0.42 aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.15/0.42 fof(f394,plain,(
% 0.15/0.42 ~aElementOf0(xx,xT)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f92])).
% 0.15/0.42 fof(f454,plain,(
% 0.15/0.42 aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc)))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f392,f393])).
% 0.15/0.42 fof(f473,plain,(
% 0.15/0.42 ![X0]: (~aSet0(xT)|~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(X0,xT))),
% 0.15/0.42 inference(resolution,[status(thm)],[f122,f356])).
% 0.15/0.42 fof(f474,plain,(
% 0.15/0.42 ![X0]: (~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(X0,xT))),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f473,f349])).
% 0.15/0.42 fof(f476,plain,(
% 0.15/0.42 aElementOf0(xx,xT)),
% 0.15/0.42 inference(resolution,[status(thm)],[f474,f454])).
% 0.15/0.42 fof(f478,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f476,f394])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.45 % Elapsed time: 0.072696 seconds
% 0.15/0.45 % CPU time: 0.214060 seconds
% 0.15/0.45 % Total memory used: 111.164 MB
% 0.15/0.45 % Net memory used: 110.945 MB
%------------------------------------------------------------------------------