%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM540+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 : n008.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 01:43:09 PM UTC 2026
% Result : Theorem 0.21s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM540+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 % Computer : n008.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 21 02:39:08 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.49 % Drodi V4.1.1
% 0.21/0.52 % Refutation found
% 0.21/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.52 fof(f5,definition,(
% 0.21/0.52 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.21/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f24,axiom,(
% 0.21/0.52 aElementOf0(sz00,szNzAzT0) ),
% 0.21/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f31,axiom,(
% 0.21/0.52 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) )),
% 0.21/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f50,definition,(
% 0.21/0.52 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 0.21/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f52,conjecture,(
% 0.21/0.52 slbdtrb0(sz00) = slcrc0 ),
% 0.21/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f53,negated_conjecture,(
% 0.21/0.52 ~(slbdtrb0(sz00) = slcrc0 )),
% 0.21/0.52 inference(negated_conjecture,[status(cth)],[f52])).
% 0.21/0.52 fof(f64,plain,(
% 0.21/0.52 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.21/0.52 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.21/0.52 fof(f65,plain,(
% 0.21/0.52 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.21/0.52 inference(NNF_transformation,[status(thm)],[f64])).
% 0.21/0.52 fof(f66,plain,(
% 0.21/0.52 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.21/0.52 inference(miniscoping,[status(thm)],[f65])).
% 0.21/0.52 fof(f67,plain,(
% 0.21/0.52 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.21/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f66])).
% 0.21/0.52 fof(f70,plain,(
% 0.21/0.52 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f67])).
% 0.21/0.52 fof(f132,plain,(
% 0.21/0.52 aElementOf0(sz00,szNzAzT0)),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f24])).
% 0.21/0.52 fof(f148,plain,(
% 0.21/0.52 ![W0]: (~aElementOf0(W0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W0),sz00))),
% 0.21/0.52 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.21/0.52 fof(f149,plain,(
% 0.21/0.52 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),sz00))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f148])).
% 0.21/0.52 fof(f206,plain,(
% 0.21/0.52 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 0.21/0.52 inference(pre_NNF_transformation,[status(thm)],[f50])).
% 0.21/0.52 fof(f207,plain,(
% 0.21/0.52 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~W1=slbdtrb0(W0)|(aSet0(W1)&(![W2]: ((~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))))))&(W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 0.21/0.52 inference(NNF_transformation,[status(thm)],[f206])).
% 0.21/0.52 fof(f208,plain,(
% 0.21/0.52 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 0.21/0.52 inference(miniscoping,[status(thm)],[f207])).
% 0.21/0.52 fof(f209,plain,(
% 0.21/0.52 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|((~aElementOf0(sK8_skl(W1,W0),W1)|(~aElementOf0(sK8_skl(W1,W0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(sK8_skl(W1,W0)),W0)))&(aElementOf0(sK8_skl(W1,W0),W1)|(aElementOf0(sK8_skl(W1,W0),szNzAzT0)&sdtlseqdt0(szszuzczcdt0(sK8_skl(W1,W0)),W0)))))))))),
% 0.25/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(W2,sK8_skl(W1,W0))],[f208])).
% 0.25/0.52 fof(f210,plain,(
% 0.25/0.52 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f209])).
% 0.25/0.52 fof(f211,plain,(
% 0.25/0.52 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|~aElementOf0(X2,X1)|aElementOf0(X2,szNzAzT0))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f209])).
% 0.25/0.52 fof(f212,plain,(
% 0.25/0.52 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|~aElementOf0(X2,X1)|sdtlseqdt0(szszuzczcdt0(X2),X0))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f209])).
% 0.25/0.52 fof(f219,plain,(
% 0.25/0.52 ~slbdtrb0(sz00)=slcrc0),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f53])).
% 0.25/0.52 fof(f243,plain,(
% 0.25/0.52 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 0.25/0.52 inference(destructive_equality_resolution,[status(thm)],[f210])).
% 0.25/0.52 fof(f244,plain,(
% 0.25/0.52 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,slbdtrb0(X0))|aElementOf0(X1,szNzAzT0))),
% 0.25/0.52 inference(destructive_equality_resolution,[status(thm)],[f211])).
% 0.25/0.52 fof(f245,plain,(
% 0.25/0.52 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,slbdtrb0(X0))|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.25/0.52 inference(destructive_equality_resolution,[status(thm)],[f212])).
% 0.25/0.52 fof(f262,plain,(
% 0.25/0.52 aSet0(slbdtrb0(sz00))),
% 0.25/0.52 inference(resolution,[status(thm)],[f243,f132])).
% 0.25/0.52 fof(f264,plain,(
% 0.25/0.52 slbdtrb0(sz00)=slcrc0|aElementOf0(sK0_skl(slbdtrb0(sz00)),slbdtrb0(sz00))),
% 0.25/0.52 inference(resolution,[status(thm)],[f262,f70])).
% 0.25/0.52 fof(f265,plain,(
% 0.25/0.52 aElementOf0(sK0_skl(slbdtrb0(sz00)),slbdtrb0(sz00))),
% 0.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f264,f219])).
% 0.25/0.52 fof(f274,plain,(
% 0.25/0.52 ~aElementOf0(sz00,szNzAzT0)|sdtlseqdt0(szszuzczcdt0(sK0_skl(slbdtrb0(sz00))),sz00)),
% 0.25/0.52 inference(resolution,[status(thm)],[f265,f245])).
% 0.25/0.52 fof(f275,plain,(
% 0.25/0.52 ~aElementOf0(sz00,szNzAzT0)|aElementOf0(sK0_skl(slbdtrb0(sz00)),szNzAzT0)),
% 0.25/0.52 inference(resolution,[status(thm)],[f265,f244])).
% 0.25/0.52 fof(f277,plain,(
% 0.25/0.52 sdtlseqdt0(szszuzczcdt0(sK0_skl(slbdtrb0(sz00))),sz00)),
% 0.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f274,f132])).
% 0.25/0.52 fof(f278,plain,(
% 0.25/0.52 aElementOf0(sK0_skl(slbdtrb0(sz00)),szNzAzT0)),
% 0.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f275,f132])).
% 0.25/0.52 fof(f280,plain,(
% 0.25/0.52 ~aElementOf0(sK0_skl(slbdtrb0(sz00)),szNzAzT0)),
% 0.25/0.52 inference(resolution,[status(thm)],[f277,f149])).
% 0.25/0.52 fof(f327,plain,(
% 0.25/0.52 $false),
% 0.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f280,f278])).
% 0.25/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.60 % Elapsed time: 0.113967 seconds
% 0.25/0.60 % CPU time: 0.120387 seconds
% 0.25/0.60 % Total memory used: 5.328 MB
% 0.25/0.60 % Net memory used: 5.322 MB
%------------------------------------------------------------------------------