%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM617+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 : n020.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 01:43:21 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM617+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 : n020.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
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:45:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.43 fof(f10,definition,(
% 0.11/0.43 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f23,axiom,(
% 0.11/0.43 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f95,hypothesis,(
% 0.11/0.43 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f100,hypothesis,(
% 0.11/0.43 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f101,hypothesis,(
% 0.11/0.43 aSubsetOf0(xQ,szNzAzT0) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f107,hypothesis,(
% 0.11/0.43 aSubsetOf0(xP,xQ) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f113,hypothesis,(
% 0.11/0.43 aElementOf0(xx,xP) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f114,conjecture,(
% 0.11/0.43 aElementOf0(xx,szNzAzT0) ),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f115,negated_conjecture,(
% 0.11/0.43 ~(aElementOf0(xx,szNzAzT0) )),
% 0.11/0.43 inference(negated_conjecture,[status(cth)],[f114])).
% 0.11/0.43 fof(f140,plain,(
% 0.11/0.43 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.11/0.43 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.11/0.43 fof(f141,plain,(
% 0.11/0.43 ![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))))))))),
% 0.11/0.43 inference(NNF_transformation,[status(thm)],[f140])).
% 0.11/0.43 fof(f142,plain,(
% 0.11/0.43 ![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))))))))),
% 0.11/0.43 inference(miniscoping,[status(thm)],[f141])).
% 0.11/0.43 fof(f143,plain,(
% 0.11/0.43 ![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)))))))),
% 0.11/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f142])).
% 0.11/0.43 fof(f144,plain,(
% 0.11/0.43 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f143])).
% 0.11/0.43 fof(f145,plain,(
% 0.11/0.43 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f143])).
% 0.11/0.43 fof(f192,plain,(
% 0.11/0.43 aSet0(szNzAzT0)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.43 fof(f436,plain,(
% 0.11/0.43 aSet0(xO)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f95])).
% 0.11/0.43 fof(f447,plain,(
% 0.11/0.43 aSubsetOf0(xQ,xO)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f100])).
% 0.11/0.43 fof(f449,plain,(
% 0.11/0.43 aSubsetOf0(xQ,szNzAzT0)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f101])).
% 0.11/0.43 fof(f456,plain,(
% 0.11/0.43 aSubsetOf0(xP,xQ)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/0.43 fof(f464,plain,(
% 0.11/0.43 aElementOf0(xx,xP)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f113])).
% 0.11/0.43 fof(f465,plain,(
% 0.11/0.43 ~aElementOf0(xx,szNzAzT0)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f115])).
% 0.11/0.43 fof(f508,plain,(
% 0.11/0.43 ![X0]: (~aSet0(X0)|~aSubsetOf0(xP,X0)|aElementOf0(xx,X0))),
% 0.11/0.43 inference(resolution,[status(thm)],[f145,f464])).
% 0.11/0.43 fof(f552,plain,(
% 0.11/0.43 ~aSet0(xO)|aSet0(xQ)),
% 0.11/0.43 inference(resolution,[status(thm)],[f447,f144])).
% 0.11/0.43 fof(f554,plain,(
% 0.11/0.43 aSet0(xQ)),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f552,f436])).
% 0.11/0.43 fof(f581,plain,(
% 0.11/0.43 ~aSet0(xQ)|aElementOf0(xx,xQ)),
% 0.11/0.43 inference(resolution,[status(thm)],[f456,f508])).
% 0.11/0.43 fof(f586,plain,(
% 0.11/0.43 aElementOf0(xx,xQ)),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f581,f554])).
% 0.11/0.43 fof(f589,plain,(
% 0.11/0.43 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|aElementOf0(xx,X0))),
% 0.11/0.43 inference(resolution,[status(thm)],[f586,f145])).
% 0.11/0.43 fof(f595,plain,(
% 0.11/0.43 ~aSet0(szNzAzT0)|aElementOf0(xx,szNzAzT0)),
% 0.11/0.43 inference(resolution,[status(thm)],[f589,f449])).
% 0.11/0.43 fof(f597,plain,(
% 0.11/0.43 aElementOf0(xx,szNzAzT0)),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f595,f192])).
% 0.11/0.43 fof(f635,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f597,f465])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46 % Elapsed time: 0.081436 seconds
% 0.11/0.46 % CPU time: 0.286254 seconds
% 0.11/0.46 % Total memory used: 83.128 MB
% 0.11/0.46 % Net memory used: 82.776 MB
%------------------------------------------------------------------------------