%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM574+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 : n011.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 01:43:15 PM UTC 2026
% Result : Theorem 0.09s 15.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM574+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.31 % CPULimit : 300
% 0.09/15.31 % WCLimit : 300
% 0.09/15.31 % DateTime : Mon Sep 21 02:41:07 UTC 2026
% 0.09/15.31 % CPUTime :
% 0.09/15.33 % Drodi V4.1.1
% 0.09/15.38 % Refutation found
% 0.09/15.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/15.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/15.38 fof(f10,definition,(
% 0.09/15.38 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f12,axiom,(
% 0.09/15.38 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f23,axiom,(
% 0.09/15.38 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f24,axiom,(
% 0.09/15.38 aElementOf0(sz00,szNzAzT0) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f27,axiom,(
% 0.09/15.38 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( W0 = sz00| (? [W1] :( aElementOf0(W1,szNzAzT0)& W0 = szszuzczcdt0(W1) ) )) ) )),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f30,axiom,(
% 0.09/15.38 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f35,axiom,(
% 0.09/15.38 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f75,hypothesis,(
% 0.09/15.38 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f81,hypothesis,(
% 0.09/15.38 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f83,hypothesis,(
% 0.09/15.38 ( aElementOf0(xj,szNzAzT0)& aElementOf0(xi,szNzAzT0) ) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f85,hypothesis,(
% 0.09/15.38 ( ( sdtlseqdt0(xj,xi)& (? [W0] :( aElementOf0(W0,szNzAzT0)& szszuzczcdt0(W0) = xi ) ))=> ( sdtlseqdt0(xj,xi)=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f86,conjecture,(
% 0.09/15.38 ( sdtlseqdt0(xj,xi)=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
% 0.09/15.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.38 fof(f87,negated_conjecture,(
% 0.09/15.38 ~(( sdtlseqdt0(xj,xi)=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) )),
% 0.09/15.38 inference(negated_conjecture,[status(cth)],[f86])).
% 0.09/15.38 fof(f112,plain,(
% 0.09/15.38 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/15.38 fof(f113,plain,(
% 0.09/15.38 ![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))))))))),
% 0.09/15.38 inference(NNF_transformation,[status(thm)],[f112])).
% 0.09/15.38 fof(f114,plain,(
% 0.09/15.38 ![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))))))))),
% 0.09/15.38 inference(miniscoping,[status(thm)],[f113])).
% 0.09/15.38 fof(f115,plain,(
% 0.09/15.38 ![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)))))))),
% 0.09/15.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f114])).
% 0.09/15.38 fof(f116,plain,(
% 0.09/15.38 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f115])).
% 0.09/15.38 fof(f122,plain,(
% 0.09/15.38 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/15.38 fof(f123,plain,(
% 0.09/15.38 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f122])).
% 0.09/15.38 fof(f164,plain,(
% 0.09/15.38 aSet0(szNzAzT0)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/15.38 fof(f166,plain,(
% 0.09/15.38 aElementOf0(sz00,szNzAzT0)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/15.38 fof(f172,plain,(
% 0.09/15.38 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(?[W1]: (aElementOf0(W1,szNzAzT0)&W0=szszuzczcdt0(W1)))))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.09/15.38 fof(f173,plain,(
% 0.09/15.38 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(aElementOf0(sK4_skl(W0),szNzAzT0)&W0=szszuzczcdt0(sK4_skl(W0)))))),
% 0.09/15.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W1,sK4_skl(W0))],[f172])).
% 0.09/15.38 fof(f174,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|aElementOf0(sK4_skl(X0),szNzAzT0))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f173])).
% 0.09/15.38 fof(f175,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|X0=szszuzczcdt0(sK4_skl(X0)))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f173])).
% 0.09/15.38 fof(f180,plain,(
% 0.09/15.38 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.09/15.38 fof(f181,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f180])).
% 0.09/15.38 fof(f192,plain,(
% 0.09/15.38 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.09/15.38 fof(f193,plain,(
% 0.09/15.38 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/15.38 fof(f347,plain,(
% 0.09/15.38 aSubsetOf0(xS,szNzAzT0)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f75])).
% 0.09/15.38 fof(f362,plain,(
% 0.09/15.38 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,W0)))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 0.09/15.38 fof(f365,plain,(
% 0.09/15.38 sdtlpdtrp0(xN,sz00)=xS),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f362])).
% 0.09/15.38 fof(f371,plain,(
% 0.09/15.38 aElementOf0(xj,szNzAzT0)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/15.38 fof(f372,plain,(
% 0.09/15.38 aElementOf0(xi,szNzAzT0)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/15.38 fof(f375,plain,(
% 0.09/15.38 (~sdtlseqdt0(xj,xi)|(![W0]: (~aElementOf0(W0,szNzAzT0)|~szszuzczcdt0(W0)=xi)))|(~sdtlseqdt0(xj,xi)|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.09/15.38 fof(f376,plain,(
% 0.09/15.38 ![X0]: (~sdtlseqdt0(xj,xi)|~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|~sdtlseqdt0(xj,xi)|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f375])).
% 0.09/15.38 fof(f377,plain,(
% 0.09/15.38 (sdtlseqdt0(xj,xi)&~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),
% 0.09/15.38 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.09/15.38 fof(f378,plain,(
% 0.09/15.38 sdtlseqdt0(xj,xi)),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f377])).
% 0.09/15.38 fof(f379,plain,(
% 0.09/15.38 ~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))),
% 0.09/15.38 inference(cnf_transformation,[status(thm)],[f377])).
% 0.09/15.38 fof(f426,plain,(
% 0.09/15.38 ![X0]: (~sdtlseqdt0(xj,xi)|~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),
% 0.09/15.38 inference(duplicate_literals_removal,[status(thm)],[f376])).
% 0.09/15.38 fof(f439,plain,(
% 0.09/15.38 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|aSet0(X0))),
% 0.09/15.38 inference(resolution,[status(thm)],[f164,f116])).
% 0.09/15.38 fof(f472,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),
% 0.09/15.38 inference(forward_subsumption_resolution,[status(thm)],[f426,f378])).
% 0.09/15.38 fof(f473,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi)),
% 0.09/15.38 inference(resolution,[status(thm)],[f472,f379])).
% 0.09/15.38 fof(f547,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,X0)|X0=sz00)),
% 0.09/15.38 inference(resolution,[status(thm)],[f166,f193])).
% 0.09/15.38 fof(f585,plain,(
% 0.09/15.38 aSet0(xS)),
% 0.09/15.38 inference(resolution,[status(thm)],[f347,f439])).
% 0.09/15.38 fof(f593,plain,(
% 0.09/15.38 xi=sz00|aElementOf0(sK4_skl(xi),szNzAzT0)),
% 0.09/15.38 inference(resolution,[status(thm)],[f174,f372])).
% 0.09/15.38 fof(f598,plain,(
% 0.09/15.38 xi=sz00|xi=szszuzczcdt0(sK4_skl(xi))),
% 0.09/15.38 inference(resolution,[status(thm)],[f175,f372])).
% 0.09/15.38 fof(f632,plain,(
% 0.09/15.38 aSubsetOf0(xS,xS)),
% 0.09/15.38 inference(resolution,[status(thm)],[f585,f123])).
% 0.09/15.38 fof(f638,plain,(
% 0.09/15.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sz00)|X0=sz00)),
% 0.09/15.38 inference(forward_subsumption_resolution,[status(thm)],[f547,f181])).
% 0.09/15.38 fof(f769,plain,(
% 0.09/15.38 xi=sz00|~szszuzczcdt0(sK4_skl(xi))=xi),
% 0.09/15.38 inference(resolution,[status(thm)],[f593,f473])).
% 0.09/15.38 fof(f941,plain,(
% 0.09/15.38 ~aSubsetOf0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xN,xj))),
% 0.09/15.38 inference(backward_demodulation,[status(thm)],[f943,f379])).
% 0.09/15.38 fof(f942,plain,(
% 0.09/15.38 sdtlseqdt0(xj,sz00)),
% 0.09/15.38 inference(backward_demodulation,[status(thm)],[f943,f378])).
% 0.09/15.38 fof(f943,plain,(
% 0.09/15.38 xi=sz00),
% 0.09/15.38 inference(forward_subsumption_resolution,[status(thm)],[f769,f598])).
% 0.09/15.38 fof(f952,plain,(
% 0.09/15.38 ~aElementOf0(xj,szNzAzT0)|xj=sz00),
% 0.09/15.38 inference(resolution,[status(thm)],[f942,f638])).
% 0.09/15.38 fof(f954,plain,(
% 0.09/15.38 xj=sz00),
% 0.09/15.38 inference(forward_subsumption_resolution,[status(thm)],[f952,f371])).
% 0.09/15.38 fof(f956,plain,(
% 0.09/15.38 ~aSubsetOf0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xN,sz00))),
% 0.09/15.38 inference(backward_demodulation,[status(thm)],[f954,f941])).
% 0.09/15.38 fof(f1093,plain,(
% 0.09/15.38 ~aSubsetOf0(sdtlpdtrp0(xN,sz00),xS)),
% 0.09/15.38 inference(backward_demodulation,[status(thm)],[f365,f956])).
% 0.09/15.38 fof(f1102,plain,(
% 0.09/15.38 ~aSubsetOf0(xS,xS)),
% 0.09/15.38 inference(forward_demodulation,[status(thm)],[f365,f1093])).
% 0.09/15.38 fof(f1103,plain,(
% 0.09/15.38 $false),
% 0.09/15.38 inference(forward_subsumption_resolution,[status(thm)],[f1102,f632])).
% 0.09/15.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/15.39 % Elapsed time: 0.078578 seconds
% 0.09/15.39 % CPU time: 0.297548 seconds
% 0.09/15.39 % Total memory used: 112.082 MB
% 0.09/15.39 % Net memory used: 111.767 MB
%------------------------------------------------------------------------------