%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM624+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 01:43:23 PM UTC 2026
% Result : Theorem 0.66s 0.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM624+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n026.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 02:48:07 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.66/0.86 % Refutation found
% 0.66/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.66/0.86 % SZS output start CNFRefutation for theBenchmark
% 0.66/0.86 fof(f10,definition,(
% 0.66/0.86 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f23,axiom,(
% 0.66/0.86 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f35,axiom,(
% 0.66/0.86 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f47,definition,(
% 0.66/0.86 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzizndt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W1,W2) ) )) ) )) )),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f100,hypothesis,(
% 0.66/0.86 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f101,hypothesis,(
% 0.66/0.86 aSubsetOf0(xQ,szNzAzT0) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f103,hypothesis,(
% 0.66/0.86 xp = szmzizndt0(xQ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f105,hypothesis,(
% 0.66/0.86 aElementOf0(xp,xQ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f114,hypothesis,(
% 0.66/0.86 ( aElementOf0(xx,szNzAzT0)& aElementOf0(xx,xO) ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f116,hypothesis,(
% 0.66/0.86 xx = szmzizndt0(sdtlpdtrp0(xN,xm)) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f119,hypothesis,(
% 0.66/0.86 ( aElementOf0(xp,sdtlpdtrp0(xN,xm))& aElementOf0(xx,xQ) ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f120,hypothesis,(
% 0.66/0.86 ( aSubsetOf0(xQ,szNzAzT0)& aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)& xQ != slcrc0& sdtlpdtrp0(xN,xm) != slcrc0 ) ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f121,conjecture,(
% 0.66/0.86 xp = xx ),
% 0.66/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.86 fof(f122,negated_conjecture,(
% 0.66/0.86 ~(xp = xx )),
% 0.66/0.86 inference(negated_conjecture,[status(cth)],[f121])).
% 0.66/0.86 fof(f147,plain,(
% 0.66/0.86 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.66/0.86 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.66/0.86 fof(f148,plain,(
% 0.66/0.86 ![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))))))))),
% 0.66/0.86 inference(NNF_transformation,[status(thm)],[f147])).
% 0.66/0.86 fof(f149,plain,(
% 0.66/0.86 ![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))))))))),
% 0.66/0.86 inference(miniscoping,[status(thm)],[f148])).
% 0.66/0.86 fof(f150,plain,(
% 0.66/0.86 ![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)))))))),
% 0.66/0.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f149])).
% 0.66/0.86 fof(f152,plain,(
% 0.66/0.86 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f150])).
% 0.66/0.86 fof(f199,plain,(
% 0.66/0.86 aSet0(szNzAzT0)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f23])).
% 0.66/0.86 fof(f227,plain,(
% 0.66/0.86 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.66/0.86 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.66/0.86 fof(f228,plain,(
% 0.66/0.86 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f227])).
% 0.66/0.86 fof(f257,plain,(
% 0.66/0.86 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: (W1=szmzizndt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))))),
% 0.66/0.86 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.66/0.86 fof(f258,plain,(
% 0.66/0.86 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: ((~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))&(W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W1,W2))))))))),
% 0.66/0.86 inference(NNF_transformation,[status(thm)],[f257])).
% 0.66/0.86 fof(f259,plain,(
% 0.66/0.86 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|((![W1]: (~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2))))))&(![W1]: (W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W1,W2))))))))),
% 0.66/0.86 inference(miniscoping,[status(thm)],[f258])).
% 0.66/0.86 fof(f260,plain,(
% 0.66/0.86 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|((![W1]: (~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2))))))&(![W1]: (W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(aElementOf0(sK6_skl(W1,W0),W0)&~sdtlseqdt0(W1,sK6_skl(W1,W0))))))))),
% 0.66/0.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W2,sK6_skl(W1,W0))],[f259])).
% 0.66/0.86 fof(f262,plain,(
% 0.66/0.86 ![X0,X1,X2]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~X1=szmzizndt0(X0)|~aElementOf0(X2,X0)|sdtlseqdt0(X1,X2))),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f260])).
% 0.66/0.86 fof(f455,plain,(
% 0.66/0.86 ~xQ=slcrc0),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f100])).
% 0.66/0.86 fof(f456,plain,(
% 0.66/0.86 aSubsetOf0(xQ,szNzAzT0)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f101])).
% 0.66/0.86 fof(f458,plain,(
% 0.66/0.86 xp=szmzizndt0(xQ)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f103])).
% 0.66/0.86 fof(f461,plain,(
% 0.66/0.86 aElementOf0(xp,xQ)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f105])).
% 0.66/0.86 fof(f472,plain,(
% 0.66/0.86 aElementOf0(xx,szNzAzT0)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f114])).
% 0.66/0.86 fof(f476,plain,(
% 0.66/0.86 xx=szmzizndt0(sdtlpdtrp0(xN,xm))),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f116])).
% 0.66/0.86 fof(f479,plain,(
% 0.66/0.86 aElementOf0(xp,sdtlpdtrp0(xN,xm))),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f119])).
% 0.66/0.86 fof(f480,plain,(
% 0.66/0.86 aElementOf0(xx,xQ)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f119])).
% 0.66/0.86 fof(f482,plain,(
% 0.66/0.86 aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f120])).
% 0.66/0.86 fof(f484,plain,(
% 0.66/0.86 ~sdtlpdtrp0(xN,xm)=slcrc0),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f120])).
% 0.66/0.86 fof(f485,plain,(
% 0.66/0.86 ~xp=xx),
% 0.66/0.86 inference(cnf_transformation,[status(thm)],[f122])).
% 0.66/0.86 fof(f506,plain,(
% 0.66/0.86 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~aElementOf0(X1,X0)|sdtlseqdt0(szmzizndt0(X0),X1))),
% 0.66/0.86 inference(destructive_equality_resolution,[status(thm)],[f262])).
% 0.66/0.86 fof(f573,plain,(
% 0.66/0.86 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|aElementOf0(xp,X0))),
% 0.66/0.86 inference(resolution,[status(thm)],[f152,f461])).
% 0.66/0.86 fof(f617,plain,(
% 0.66/0.86 ~aSet0(szNzAzT0)|aElementOf0(xp,szNzAzT0)),
% 0.66/0.86 inference(resolution,[status(thm)],[f456,f573])).
% 0.66/0.86 fof(f621,plain,(
% 0.66/0.86 aElementOf0(xp,szNzAzT0)),
% 0.66/0.86 inference(forward_subsumption_resolution,[status(thm)],[f617,f199])).
% 0.66/0.86 fof(f2071,plain,(
% 0.66/0.86 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xx)|~sdtlseqdt0(xx,X0)|X0=xx)),
% 0.66/0.86 inference(resolution,[status(thm)],[f228,f472])).
% 0.66/0.86 fof(f2146,plain,(
% 0.66/0.86 ~sdtlseqdt0(xp,xx)|~sdtlseqdt0(xx,xp)|xp=xx),
% 0.66/0.86 inference(resolution,[status(thm)],[f2071,f621])).
% 0.66/0.86 fof(f2150,plain,(
% 0.66/0.86 ~sdtlseqdt0(xp,xx)|~sdtlseqdt0(xx,xp)),
% 0.66/0.86 inference(forward_subsumption_resolution,[status(thm)],[f2146,f485])).
% 0.66/0.86 fof(f2999,plain,(
% 0.66/0.86 ~aSubsetOf0(xQ,szNzAzT0)|xQ=slcrc0|sdtlseqdt0(szmzizndt0(xQ),xx)),
% 0.66/0.86 inference(resolution,[status(thm)],[f506,f480])).
% 0.66/0.86 fof(f3013,plain,(
% 0.66/0.86 ~aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)|sdtlpdtrp0(xN,xm)=slcrc0|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),xp)),
% 0.66/0.86 inference(resolution,[status(thm)],[f506,f479])).
% 0.66/0.86 fof(f3040,plain,(
% 0.66/0.86 ~aSubsetOf0(xQ,szNzAzT0)|xQ=slcrc0|sdtlseqdt0(xp,xx)),
% 0.66/0.86 inference(forward_demodulation,[status(thm)],[f458,f2999])).
% 0.66/0.86 fof(f3041,plain,(
% 0.66/0.86 xQ=slcrc0|sdtlseqdt0(xp,xx)),
% 0.66/0.86 inference(forward_subsumption_resolution,[status(thm)],[f3040,f456])).
% 0.66/0.86 fof(f3045,plain,(
% 0.66/0.86 ~aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)|sdtlpdtrp0(xN,xm)=slcrc0|sdtlseqdt0(xx,xp)),
% 0.66/0.86 inference(forward_demodulation,[status(thm)],[f476,f3013])).
% 0.66/0.86 fof(f3046,plain,(
% 0.66/0.86 sdtlpdtrp0(xN,xm)=slcrc0|sdtlseqdt0(xx,xp)),
% 0.66/0.87 inference(forward_subsumption_resolution,[status(thm)],[f3045,f482])).
% 0.66/0.87 fof(f3358,plain,(
% 0.66/0.87 ~sdtlseqdt0(xx,xp)),
% 0.66/0.87 inference(backward_subsumption_resolution,[status(thm)],[f2150,f3359])).
% 0.66/0.87 fof(f3359,plain,(
% 0.66/0.87 sdtlseqdt0(xp,xx)),
% 0.66/0.87 inference(forward_subsumption_resolution,[status(thm)],[f3041,f455])).
% 0.66/0.87 fof(f3927,plain,(
% 0.66/0.87 sdtlseqdt0(xx,xp)),
% 0.66/0.87 inference(forward_subsumption_resolution,[status(thm)],[f3046,f484])).
% 0.66/0.87 fof(f3928,plain,(
% 0.66/0.87 $false),
% 0.66/0.87 inference(backward_subsumption_resolution,[status(thm)],[f3358,f3927])).
% 0.66/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 0.66/0.89 % Elapsed time: 0.447160 seconds
% 0.66/0.89 % CPU time: 3.201620 seconds
% 0.66/0.89 % Total memory used: 148.537 MB
% 0.66/0.89 % Net memory used: 146.137 MB
%------------------------------------------------------------------------------