%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM547+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 : n002.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 01:43:10 PM UTC 2026
% Result : Theorem 0.13s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM547+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n002.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 02:42:08 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.41 fof(f5,definition,(
% 0.13/5.41 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f57,definition,(
% 0.13/5.41 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f61,hypothesis,(
% 0.13/5.41 aElementOf0(xk,szNzAzT0) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f62,hypothesis,(
% 0.13/5.41 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f63,hypothesis,(
% 0.13/5.41 ( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))& slbdtsldtrb0(xS,xk) != slcrc0 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f65,conjecture,(
% 0.13/5.41 (? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)) )),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f66,negated_conjecture,(
% 0.13/5.41 ~((? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)) ))),
% 0.13/5.41 inference(negated_conjecture,[status(cth)],[f65])).
% 0.13/5.41 fof(f77,plain,(
% 0.13/5.41 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.13/5.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/5.41 fof(f78,plain,(
% 0.13/5.41 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/5.41 inference(NNF_transformation,[status(thm)],[f77])).
% 0.13/5.41 fof(f79,plain,(
% 0.13/5.41 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/5.41 inference(miniscoping,[status(thm)],[f78])).
% 0.13/5.41 fof(f80,plain,(
% 0.13/5.41 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.13/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f79])).
% 0.13/5.41 fof(f83,plain,(
% 0.13/5.41 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f80])).
% 0.13/5.41 fof(f248,plain,(
% 0.13/5.41 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 0.13/5.41 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.13/5.41 fof(f249,plain,(
% 0.13/5.41 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 0.13/5.41 inference(NNF_transformation,[status(thm)],[f248])).
% 0.13/5.41 fof(f250,plain,(
% 0.13/5.41 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 0.13/5.41 inference(miniscoping,[status(thm)],[f249])).
% 0.13/5.41 fof(f251,plain,(
% 0.13/5.41 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sK10_skl(W2,W1,W0),W2)|(~aSubsetOf0(sK10_skl(W2,W1,W0),W0)|~sbrdtbr0(sK10_skl(W2,W1,W0))=W1))&(aElementOf0(sK10_skl(W2,W1,W0),W2)|(aSubsetOf0(sK10_skl(W2,W1,W0),W0)&sbrdtbr0(sK10_skl(W2,W1,W0))=W1))))))))),
% 0.13/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f250])).
% 0.13/5.41 fof(f252,plain,(
% 0.13/5.41 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aSet0(X2))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.13/5.41 fof(f265,plain,(
% 0.13/5.41 aElementOf0(xk,szNzAzT0)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/5.41 fof(f266,plain,(
% 0.13/5.41 aSet0(xS)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/5.41 fof(f270,plain,(
% 0.13/5.41 ~slbdtsldtrb0(xS,xk)=slcrc0),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/5.41 fof(f272,plain,(
% 0.13/5.41 (![W0]: ~aElementOf0(W0,slbdtsldtrb0(xS,xk)))),
% 0.13/5.41 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 0.13/5.41 fof(f273,plain,(
% 0.13/5.41 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xS,xk)))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f272])).
% 0.13/5.41 fof(f303,plain,(
% 0.13/5.41 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|aSet0(slbdtsldtrb0(X0,X1)))),
% 0.13/5.41 inference(destructive_equality_resolution,[status(thm)],[f252])).
% 0.13/5.41 fof(f311,plain,(
% 0.13/5.41 ![X0,X1]: (slbdtsldtrb0(X0,X1)=slcrc0|aElementOf0(sK0_skl(slbdtsldtrb0(X0,X1)),slbdtsldtrb0(X0,X1))|~aSet0(X0)|~aElementOf0(X1,szNzAzT0))),
% 0.13/5.41 inference(resolution,[status(thm)],[f83,f303])).
% 0.13/5.41 fof(f319,plain,(
% 0.13/5.41 ![X0]: (slbdtsldtrb0(X0,xk)=slcrc0|aElementOf0(sK0_skl(slbdtsldtrb0(X0,xk)),slbdtsldtrb0(X0,xk))|~aSet0(X0))),
% 0.13/5.41 inference(resolution,[status(thm)],[f311,f265])).
% 0.13/5.41 fof(f320,plain,(
% 0.13/5.41 slbdtsldtrb0(xS,xk)=slcrc0|~aSet0(xS)),
% 0.13/5.41 inference(resolution,[status(thm)],[f319,f273])).
% 0.13/5.41 fof(f324,plain,(
% 0.13/5.41 ~aSet0(xS)),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f320,f270])).
% 0.13/5.41 fof(f330,plain,(
% 0.13/5.41 $false),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f324,f266])).
% 0.13/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.062389 seconds
% 0.13/5.43 % CPU time: 0.160709 seconds
% 0.13/5.43 % Total memory used: 106.359 MB
% 0.13/5.43 % Net memory used: 106.244 MB
%------------------------------------------------------------------------------