%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM605+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 : n005.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 0.13s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM605+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
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:44:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.45 fof(f5,definition,(
% 0.13/0.45 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f42,axiom,(
% 0.13/0.45 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f57,definition,(
% 0.13/0.45 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f74,hypothesis,(
% 0.13/0.45 aElementOf0(xK,szNzAzT0) ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f78,hypothesis,(
% 0.13/0.45 xK != sz00 ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f95,hypothesis,(
% 0.13/0.45 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f99,hypothesis,(
% 0.13/0.45 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f100,conjecture,(
% 0.13/0.45 xQ != slcrc0 ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f101,negated_conjecture,(
% 0.13/0.45 ~(xQ != slcrc0 )),
% 0.13/0.45 inference(negated_conjecture,[status(cth)],[f100])).
% 0.13/0.45 fof(f112,plain,(
% 0.13/0.45 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.45 fof(f113,plain,(
% 0.13/0.45 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/0.45 inference(NNF_transformation,[status(thm)],[f112])).
% 0.13/0.45 fof(f114,plain,(
% 0.13/0.45 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f113])).
% 0.13/0.45 fof(f115,plain,(
% 0.13/0.45 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.13/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f114])).
% 0.13/0.45 fof(f116,plain,(
% 0.13/0.45 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/0.45 fof(f222,plain,(
% 0.13/0.45 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.13/0.45 fof(f223,plain,(
% 0.13/0.45 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 0.13/0.45 inference(NNF_transformation,[status(thm)],[f222])).
% 0.13/0.45 fof(f225,plain,(
% 0.13/0.45 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f223])).
% 0.13/0.45 fof(f283,plain,(
% 0.13/0.45 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.13/0.45 fof(f284,plain,(
% 0.13/0.45 ![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)))))))))),
% 0.13/0.45 inference(NNF_transformation,[status(thm)],[f283])).
% 0.13/0.45 fof(f285,plain,(
% 0.13/0.45 ![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)))))))))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f284])).
% 0.13/0.45 fof(f286,plain,(
% 0.13/0.45 ![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))))))))),
% 0.13/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f285])).
% 0.13/0.45 fof(f289,plain,(
% 0.13/0.45 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|sbrdtbr0(X3)=X1)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f286])).
% 0.13/0.45 fof(f360,plain,(
% 0.13/0.45 aElementOf0(xK,szNzAzT0)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/0.45 fof(f372,plain,(
% 0.13/0.45 ~xK=sz00),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f78])).
% 0.13/0.45 fof(f422,plain,(
% 0.13/0.45 aSet0(xO)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f95])).
% 0.13/0.45 fof(f432,plain,(
% 0.13/0.45 aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f99])).
% 0.13/0.45 fof(f433,plain,(
% 0.13/0.45 xQ=slcrc0),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f101])).
% 0.13/0.45 fof(f440,plain,(
% 0.13/0.45 aSet0(slcrc0)),
% 0.13/0.45 inference(destructive_equality_resolution,[status(thm)],[f116])).
% 0.13/0.45 fof(f459,plain,(
% 0.13/0.45 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 0.13/0.45 inference(destructive_equality_resolution,[status(thm)],[f225])).
% 0.13/0.45 fof(f460,plain,(
% 0.13/0.45 sbrdtbr0(slcrc0)=sz00),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f459,f440])).
% 0.13/0.45 fof(f474,plain,(
% 0.13/0.45 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|sbrdtbr0(X2)=X1)),
% 0.13/0.45 inference(destructive_equality_resolution,[status(thm)],[f289])).
% 0.13/0.45 fof(f506,plain,(
% 0.13/0.45 sbrdtbr0(xQ)=sz00),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f433,f460])).
% 0.13/0.45 fof(f804,plain,(
% 0.13/0.45 ~aSet0(xO)|~aElementOf0(xK,szNzAzT0)|sbrdtbr0(xQ)=xK),
% 0.13/0.45 inference(resolution,[status(thm)],[f474,f432])).
% 0.13/0.45 fof(f805,plain,(
% 0.13/0.45 ~aSet0(xO)|~aElementOf0(xK,szNzAzT0)|sz00=xK),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f506,f804])).
% 0.13/0.45 fof(f806,plain,(
% 0.13/0.45 ~aElementOf0(xK,szNzAzT0)|sz00=xK),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f805,f422])).
% 0.13/0.45 fof(f949,plain,(
% 0.13/0.45 sz00=xK),
% 0.13/0.45 inference(resolution,[status(thm)],[f806,f360])).
% 0.13/0.45 fof(f950,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f949,f372])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.47 % Elapsed time: 0.098904 seconds
% 0.13/0.47 % CPU time: 0.485640 seconds
% 0.13/0.47 % Total memory used: 113.773 MB
% 0.13/0.47 % Net memory used: 113.264 MB
%------------------------------------------------------------------------------