%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM607+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 01:43:20 PM UTC 2026
% Result : Theorem 12.64s 2.14s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM607+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
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:47:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 12.64/2.14 % Refutation found
% 12.64/2.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.64/2.14 % SZS output start CNFRefutation for theBenchmark
% 12.64/2.14 fof(f10,definition,(
% 12.64/2.14 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f14,axiom,(
% 12.64/2.14 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f23,axiom,(
% 12.64/2.14 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f57,definition,(
% 12.64/2.14 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f74,hypothesis,(
% 12.64/2.14 aElementOf0(xK,szNzAzT0) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f75,hypothesis,(
% 12.64/2.14 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f76,hypothesis,(
% 12.64/2.14 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f95,hypothesis,(
% 12.64/2.14 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f98,hypothesis,(
% 12.64/2.14 aSubsetOf0(xO,xS) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f99,hypothesis,(
% 12.64/2.14 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f100,hypothesis,(
% 12.64/2.14 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f102,conjecture,(
% 12.64/2.14 aElementOf0(xQ,szDzozmdt0(xc)) ),
% 12.64/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.64/2.14 fof(f103,negated_conjecture,(
% 12.64/2.14 ~(aElementOf0(xQ,szDzozmdt0(xc)) )),
% 12.64/2.14 inference(negated_conjecture,[status(cth)],[f102])).
% 12.64/2.14 fof(f128,plain,(
% 12.64/2.14 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 12.64/2.14 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 12.64/2.14 fof(f129,plain,(
% 12.64/2.14 ![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))))))))),
% 12.64/2.14 inference(NNF_transformation,[status(thm)],[f128])).
% 12.64/2.14 fof(f130,plain,(
% 12.64/2.14 ![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))))))))),
% 12.64/2.14 inference(miniscoping,[status(thm)],[f129])).
% 12.64/2.14 fof(f131,plain,(
% 12.64/2.14 ![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)))))))),
% 12.64/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f130])).
% 12.64/2.14 fof(f132,plain,(
% 12.64/2.14 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f131])).
% 12.64/2.14 fof(f142,plain,(
% 12.64/2.14 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 12.64/2.14 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 12.64/2.14 fof(f143,plain,(
% 12.64/2.14 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f142])).
% 12.64/2.14 fof(f180,plain,(
% 12.64/2.14 aSet0(szNzAzT0)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f23])).
% 12.64/2.14 fof(f285,plain,(
% 12.64/2.14 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 12.64/2.14 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 12.64/2.14 fof(f286,plain,(
% 12.64/2.14 ![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)))))))))),
% 12.64/2.14 inference(NNF_transformation,[status(thm)],[f285])).
% 12.64/2.14 fof(f287,plain,(
% 12.64/2.14 ![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)))))))))),
% 12.64/2.14 inference(miniscoping,[status(thm)],[f286])).
% 12.64/2.14 fof(f288,plain,(
% 12.64/2.14 ![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))))))))),
% 12.64/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f287])).
% 12.64/2.14 fof(f291,plain,(
% 12.64/2.14 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|sbrdtbr0(X3)=X1)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f288])).
% 12.64/2.14 fof(f292,plain,(
% 12.64/2.14 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f288])).
% 12.64/2.14 fof(f362,plain,(
% 12.64/2.14 aElementOf0(xK,szNzAzT0)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f74])).
% 12.64/2.14 fof(f363,plain,(
% 12.64/2.14 aSubsetOf0(xS,szNzAzT0)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f75])).
% 12.64/2.14 fof(f366,plain,(
% 12.64/2.14 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f76])).
% 12.64/2.14 fof(f424,plain,(
% 12.64/2.14 aSet0(xO)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f95])).
% 12.64/2.14 fof(f433,plain,(
% 12.64/2.14 aSubsetOf0(xO,xS)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f98])).
% 12.64/2.14 fof(f434,plain,(
% 12.64/2.14 aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f99])).
% 12.64/2.14 fof(f435,plain,(
% 12.64/2.14 aSubsetOf0(xQ,xO)),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f100])).
% 12.64/2.14 fof(f438,plain,(
% 12.64/2.14 ~aElementOf0(xQ,szDzozmdt0(xc))),
% 12.64/2.14 inference(cnf_transformation,[status(thm)],[f103])).
% 12.64/2.14 fof(f470,plain,(
% 12.64/2.14 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|sbrdtbr0(X2)=X1)),
% 12.64/2.14 inference(destructive_equality_resolution,[status(thm)],[f291])).
% 12.64/2.14 fof(f471,plain,(
% 12.64/2.14 ![X0,X1]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))|~aSubsetOf0(X1,X0))),
% 12.64/2.14 inference(destructive_equality_resolution,[status(thm)],[f292])).
% 12.64/2.14 fof(f505,plain,(
% 12.64/2.14 ~aSet0(szNzAzT0)|aSet0(xS)),
% 12.64/2.14 inference(resolution,[status(thm)],[f132,f363])).
% 12.64/2.14 fof(f509,plain,(
% 12.64/2.14 aSet0(xS)),
% 12.64/2.14 inference(forward_subsumption_resolution,[status(thm)],[f505,f180])).
% 12.64/2.14 fof(f614,plain,(
% 12.64/2.14 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 12.64/2.14 inference(forward_subsumption_resolution,[status(thm)],[f143,f132])).
% 12.64/2.14 fof(f625,plain,(
% 12.64/2.14 ![X0]: (~aSet0(xO)|~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0))),
% 12.64/2.14 inference(resolution,[status(thm)],[f614,f435])).
% 12.64/2.14 fof(f630,plain,(
% 12.64/2.14 ![X0]: (~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0))),
% 12.64/2.14 inference(forward_subsumption_resolution,[status(thm)],[f625,f132])).
% 12.64/2.14 fof(f635,plain,(
% 12.64/2.14 ~aSet0(xS)|aSubsetOf0(xQ,xS)),
% 12.64/2.14 inference(resolution,[status(thm)],[f630,f433])).
% 12.64/2.14 fof(f636,plain,(
% 12.64/2.14 aSubsetOf0(xQ,xS)),
% 12.64/2.14 inference(forward_subsumption_resolution,[status(thm)],[f635,f509])).
% 12.64/2.14 fof(f10978,plain,(
% 12.64/2.14 ~aSet0(xO)|~aElementOf0(xK,szNzAzT0)|sbrdtbr0(xQ)=xK),
% 12.64/2.16 inference(resolution,[status(thm)],[f470,f434])).
% 12.64/2.16 fof(f10981,plain,(
% 12.64/2.16 ~aElementOf0(xK,szNzAzT0)|sbrdtbr0(xQ)=xK),
% 12.64/2.16 inference(forward_subsumption_resolution,[status(thm)],[f10978,f424])).
% 12.64/2.16 fof(f11156,plain,(
% 12.64/2.16 sbrdtbr0(xQ)=xK),
% 12.64/2.16 inference(forward_subsumption_resolution,[status(thm)],[f10981,f362])).
% 12.64/2.16 fof(f11383,plain,(
% 12.64/2.16 ![X0]: (~aSet0(X0)|~aElementOf0(xK,szNzAzT0)|aElementOf0(xQ,slbdtsldtrb0(X0,sbrdtbr0(xQ)))|~aSubsetOf0(xQ,X0))),
% 12.64/2.16 inference(paramodulation,[status(thm)],[f11156,f471])).
% 12.64/2.16 fof(f11388,plain,(
% 12.64/2.16 ![X0]: (~aSet0(X0)|~aElementOf0(xK,szNzAzT0)|aElementOf0(xQ,slbdtsldtrb0(X0,xK))|~aSubsetOf0(xQ,X0))),
% 12.64/2.16 inference(forward_demodulation,[status(thm)],[f11156,f11383])).
% 12.64/2.16 fof(f11389,plain,(
% 12.64/2.16 ![X0]: (~aSet0(X0)|aElementOf0(xQ,slbdtsldtrb0(X0,xK))|~aSubsetOf0(xQ,X0))),
% 12.64/2.16 inference(forward_subsumption_resolution,[status(thm)],[f11388,f362])).
% 12.64/2.16 fof(f15171,plain,(
% 12.64/2.16 ~aSet0(xS)|aElementOf0(xQ,slbdtsldtrb0(xS,xK))),
% 12.64/2.16 inference(resolution,[status(thm)],[f11389,f636])).
% 12.64/2.16 fof(f15176,plain,(
% 12.64/2.16 ~aSet0(xS)|aElementOf0(xQ,szDzozmdt0(xc))),
% 12.64/2.16 inference(forward_demodulation,[status(thm)],[f366,f15171])).
% 12.64/2.16 fof(f15177,plain,(
% 12.64/2.16 aElementOf0(xQ,szDzozmdt0(xc))),
% 12.64/2.16 inference(forward_subsumption_resolution,[status(thm)],[f15176,f509])).
% 12.64/2.16 fof(f15180,plain,(
% 12.64/2.16 $false),
% 12.64/2.16 inference(forward_subsumption_resolution,[status(thm)],[f15177,f438])).
% 12.64/2.16 % SZS output end CNFRefutation for theBenchmark.p
% 2.87/2.18 % Elapsed time: 1.798829 seconds
% 2.87/2.18 % CPU time: 13.934217 seconds
% 2.87/2.18 % Total memory used: 264.896 MB
% 2.87/2.18 % Net memory used: 255.246 MB
%------------------------------------------------------------------------------