%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM548+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 : n026.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 0.09s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM548+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
% 0.09/0.38 % Computer : n026.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 21 02:42:08 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.44 % Refutation found
% 0.09/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.44 fof(f10,definition,(
% 0.09/0.44 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f41,axiom,(
% 0.09/0.44 (! [W0] :( aSet0(W0)=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)<=> isFinite0(W0) ) ) )),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f57,definition,(
% 0.09/0.44 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f61,hypothesis,(
% 0.09/0.44 aElementOf0(xk,szNzAzT0) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f62,hypothesis,(
% 0.09/0.44 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f65,hypothesis,(
% 0.09/0.44 aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f66,conjecture,(
% 0.09/0.44 isFinite0(xQ) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f67,negated_conjecture,(
% 0.09/0.44 ~(isFinite0(xQ) )),
% 0.09/0.44 inference(negated_conjecture,[status(cth)],[f66])).
% 0.09/0.44 fof(f92,plain,(
% 0.09/0.44 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.44 fof(f93,plain,(
% 0.09/0.44 ![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))))))))),
% 0.09/0.44 inference(NNF_transformation,[status(thm)],[f92])).
% 0.09/0.44 fof(f94,plain,(
% 0.09/0.44 ![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))))))))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f93])).
% 0.09/0.44 fof(f95,plain,(
% 0.09/0.44 ![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)))))))),
% 0.09/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f94])).
% 0.09/0.44 fof(f96,plain,(
% 0.09/0.44 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f95])).
% 0.09/0.44 fof(f184,plain,(
% 0.09/0.44 ![W0]: (~aSet0(W0)|(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.09/0.44 fof(f185,plain,(
% 0.09/0.44 ![W0]: (~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(aElementOf0(sbrdtbr0(W0),szNzAzT0)|~isFinite0(W0))))),
% 0.09/0.44 inference(NNF_transformation,[status(thm)],[f184])).
% 0.09/0.44 fof(f186,plain,(
% 0.09/0.44 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X0),szNzAzT0)|isFinite0(X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f185])).
% 0.09/0.44 fof(f249,plain,(
% 0.09/0.44 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.09/0.44 fof(f250,plain,(
% 0.09/0.44 ![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)))))))))),
% 0.09/0.44 inference(NNF_transformation,[status(thm)],[f249])).
% 0.09/0.44 fof(f251,plain,(
% 0.09/0.44 ![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)))))))))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f250])).
% 0.09/0.44 fof(f252,plain,(
% 0.09/0.44 ![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))))))))),
% 0.09/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f251])).
% 0.09/0.44 fof(f254,plain,(
% 0.09/0.44 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|aSubsetOf0(X3,X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f252])).
% 0.09/0.44 fof(f255,plain,(
% 0.09/0.44 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|sbrdtbr0(X3)=X1)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f252])).
% 0.09/0.44 fof(f266,plain,(
% 0.09/0.44 aElementOf0(xk,szNzAzT0)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f61])).
% 0.09/0.44 fof(f267,plain,(
% 0.09/0.44 aSet0(xS)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f62])).
% 0.09/0.44 fof(f273,plain,(
% 0.09/0.44 aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.44 fof(f274,plain,(
% 0.09/0.44 ~isFinite0(xQ)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f67])).
% 0.09/0.44 fof(f305,plain,(
% 0.09/0.44 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|aSubsetOf0(X2,X0))),
% 0.09/0.44 inference(destructive_equality_resolution,[status(thm)],[f254])).
% 0.09/0.44 fof(f306,plain,(
% 0.09/0.44 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|sbrdtbr0(X2)=X1)),
% 0.09/0.44 inference(destructive_equality_resolution,[status(thm)],[f255])).
% 0.09/0.44 fof(f757,plain,(
% 0.09/0.44 ~aSet0(xS)|~aElementOf0(xk,szNzAzT0)|aSubsetOf0(xQ,xS)),
% 0.09/0.44 inference(resolution,[status(thm)],[f305,f273])).
% 0.09/0.44 fof(f759,plain,(
% 0.09/0.44 ~aElementOf0(xk,szNzAzT0)|aSubsetOf0(xQ,xS)),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f757,f267])).
% 0.09/0.44 fof(f760,plain,(
% 0.09/0.44 aSubsetOf0(xQ,xS)),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f759,f266])).
% 0.09/0.44 fof(f765,plain,(
% 0.09/0.44 ~aSet0(xS)|aSet0(xQ)),
% 0.09/0.44 inference(resolution,[status(thm)],[f760,f96])).
% 0.09/0.44 fof(f770,plain,(
% 0.09/0.44 aSet0(xQ)),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f765,f267])).
% 0.09/0.44 fof(f803,plain,(
% 0.09/0.44 ~aSet0(xS)|~aElementOf0(xk,szNzAzT0)|sbrdtbr0(xQ)=xk),
% 0.09/0.44 inference(resolution,[status(thm)],[f306,f273])).
% 0.09/0.44 fof(f805,plain,(
% 0.09/0.44 ~aElementOf0(xk,szNzAzT0)|sbrdtbr0(xQ)=xk),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f803,f267])).
% 0.09/0.44 fof(f848,plain,(
% 0.09/0.44 sbrdtbr0(xQ)=xk),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f805,f266])).
% 0.09/0.44 fof(f850,plain,(
% 0.09/0.44 ~aSet0(xQ)|~aElementOf0(xk,szNzAzT0)|isFinite0(xQ)),
% 0.09/0.44 inference(paramodulation,[status(thm)],[f848,f186])).
% 0.09/0.44 fof(f853,plain,(
% 0.09/0.44 ~aElementOf0(xk,szNzAzT0)|isFinite0(xQ)),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f850,f770])).
% 0.09/0.44 fof(f863,plain,(
% 0.09/0.44 isFinite0(xQ)),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f853,f266])).
% 0.09/0.44 fof(f864,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(backward_subsumption_resolution,[status(thm)],[f274,f863])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.45 % Elapsed time: 0.068991 seconds
% 0.09/0.45 % CPU time: 0.285482 seconds
% 0.09/0.45 % Total memory used: 106.040 MB
% 0.09/0.45 % Net memory used: 105.771 MB
%------------------------------------------------------------------------------