%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM560+2 : 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 : n007.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 01:43:13 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM560+2 : 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 : n007.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 02:38:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f68,conjecture,(
% 0.13/0.40 ( ( aSet0(sdtlbdtrb0(xF,xy))& (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xF,xy))<=> ( aElementOf0(W0,szDzozmdt0(xF))& sdtlpdtrp0(xF,W0) = xy ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xF,xy))=> aElementOf0(W0,szDzozmdt0(xF)) ))| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f69,negated_conjecture,(
% 0.13/0.40 ~(( ( aSet0(sdtlbdtrb0(xF,xy))& (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xF,xy))<=> ( aElementOf0(W0,szDzozmdt0(xF))& sdtlpdtrp0(xF,W0) = xy ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xF,xy))=> aElementOf0(W0,szDzozmdt0(xF)) ))| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f68])).
% 0.13/0.40 fof(f295,plain,(
% 0.13/0.40 ((aSet0(sdtlbdtrb0(xF,xy))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xF,xy))<=>(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy))))&((?[W0]: (aElementOf0(W0,sdtlbdtrb0(xF,xy))&~aElementOf0(W0,szDzozmdt0(xF))))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.13/0.40 fof(f296,plain,(
% 0.13/0.40 (aSet0(sdtlbdtrb0(xF,xy))&(![W0]: ((~aElementOf0(W0,sdtlbdtrb0(xF,xy))|(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy))&(aElementOf0(W0,sdtlbdtrb0(xF,xy))|(~aElementOf0(W0,szDzozmdt0(xF))|~sdtlpdtrp0(xF,W0)=xy)))))&((?[W0]: (aElementOf0(W0,sdtlbdtrb0(xF,xy))&~aElementOf0(W0,szDzozmdt0(xF))))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f295])).
% 0.13/0.40 fof(f297,plain,(
% 0.13/0.40 (aSet0(sdtlbdtrb0(xF,xy))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xF,xy))|(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy)))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xF,xy))|(~aElementOf0(W0,szDzozmdt0(xF))|~sdtlpdtrp0(xF,W0)=xy)))))&((?[W0]: (aElementOf0(W0,sdtlbdtrb0(xF,xy))&~aElementOf0(W0,szDzozmdt0(xF))))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f296])).
% 0.13/0.40 fof(f298,plain,(
% 0.13/0.40 (aSet0(sdtlbdtrb0(xF,xy))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xF,xy))|(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy)))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xF,xy))|(~aElementOf0(W0,szDzozmdt0(xF))|~sdtlpdtrp0(xF,W0)=xy)))))&((aElementOf0(sK13_skl,sdtlbdtrb0(xF,xy))&~aElementOf0(sK13_skl,szDzozmdt0(xF)))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(W0,sK13_skl)],[f297])).
% 0.13/0.40 fof(f300,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,sdtlbdtrb0(xF,xy))|aElementOf0(X0,szDzozmdt0(xF)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f298])).
% 0.13/0.40 fof(f303,plain,(
% 0.13/0.40 aElementOf0(sK13_skl,sdtlbdtrb0(xF,xy))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f298])).
% 0.13/0.40 fof(f304,plain,(
% 0.13/0.40 ~aElementOf0(sK13_skl,szDzozmdt0(xF))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f298])).
% 0.13/0.40 fof(f344,plain,(
% 0.13/0.40 aElementOf0(sK13_skl,szDzozmdt0(xF))),
% 0.13/0.40 inference(resolution,[status(thm)],[f300,f303])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f344,f304])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.060710 seconds
% 0.13/0.43 % CPU time: 0.167686 seconds
% 0.13/0.43 % Total memory used: 107.144 MB
% 0.13/0.43 % Net memory used: 107.006 MB
%------------------------------------------------------------------------------