%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM547+3 : 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 : n013.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 01:43:10 PM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM547+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 02:38:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f63,hypothesis,(
% 0.15/0.42 ( aSet0(slbdtsldtrb0(xS,xk))& (! [W0] :( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& sbrdtbr0(W0) = xk ) )& ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xk )=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ))& aSet0(slbdtsldtrb0(xT,xk))& (! [W0] :( ( aElementOf0(W0,slbdtsldtrb0(xT,xk))=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xT) ))& aSubsetOf0(W0,xT)& sbrdtbr0(W0) = xk ) )& ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xT) ) ))| aSubsetOf0(W0,xT) )& sbrdtbr0(W0) = xk )=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) ))& (! [W0] :( aElementOf0(W0,slbdtsldtrb0(xS,xk))=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) ))& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))& ~ ( (! [W0] :( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& sbrdtbr0(W0) = xk ) )& ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xk )=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ))=> ( ~ (? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)))| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f65,conjecture,(
% 0.15/0.42 (? [W0] :( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f66,negated_conjecture,(
% 0.15/0.42 ~((? [W0] :( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ))),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f65])).
% 0.15/0.42 fof(f269,plain,(
% 0.15/0.42 (((((aSet0(slbdtsldtrb0(xS,xk))&(![W0]: ((~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&(![W0]: ((~aElementOf0(W0,slbdtsldtrb0(xT,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xT))))&aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xT))))&~aSubsetOf0(W0,xT))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xT,xk))))))&(![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|aElementOf0(W0,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&((![W0]: ((~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk)))))&((?[W0]: aElementOf0(W0,slbdtsldtrb0(xS,xk)))&~slbdtsldtrb0(xS,xk)=slcrc0))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(thm)],[f63])).
% 0.15/0.42 fof(f270,plain,(
% 0.15/0.42 (((((aSet0(slbdtsldtrb0(xS,xk))&((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)))&(![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xT,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xT))))&aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk)))&(![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xT))))&~aSubsetOf0(W0,xT))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xT,xk))))))&(![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|aElementOf0(W0,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)))&(![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk)))))&((?[W0]: aElementOf0(W0,slbdtsldtrb0(xS,xk)))&~slbdtsldtrb0(xS,xk)=slcrc0))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f269])).
% 0.15/0.42 fof(f271,plain,(
% 0.15/0.42 (((((aSet0(slbdtsldtrb0(xS,xk))&((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)))&(![W0]: ((((~aSet0(W0)|(aElementOf0(sK11_skl(W0),W0)&~aElementOf0(sK11_skl(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xT,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xT))))&aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk)))&(![W0]: ((((~aSet0(W0)|(aElementOf0(sK12_skl(W0),W0)&~aElementOf0(sK12_skl(W0),xT)))&~aSubsetOf0(W0,xT))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xT,xk))))))&(![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|aElementOf0(W0,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)))&(![W0]: ((((~aSet0(W0)|(aElementOf0(sK13_skl(W0),W0)&~aElementOf0(sK13_skl(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk)))))&(aElementOf0(sK14_skl,slbdtsldtrb0(xS,xk))&~slbdtsldtrb0(xS,xk)=slcrc0))),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(W1,sK11_skl(W0)),skolemize(W1,sK12_skl(W0)),skolemize(W1,sK13_skl(W0)),skolemize(W0,sK14_skl)],[f270])).
% 0.15/0.42 fof(f297,plain,(
% 0.15/0.42 aElementOf0(sK14_skl,slbdtsldtrb0(xS,xk))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f271])).
% 0.15/0.42 fof(f300,plain,(
% 0.15/0.42 (![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(xS,xk))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 0.15/0.42 fof(f301,plain,(
% 0.15/0.42 (![W0]: (((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk))&(![W0]: ~aElementOf0(W0,slbdtsldtrb0(xS,xk)))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f300])).
% 0.15/0.42 fof(f302,plain,(
% 0.15/0.42 (![W0]: (((~aSet0(W0)|(aElementOf0(sK15_skl(W0),W0)&~aElementOf0(sK15_skl(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xk))&(![W0]: ~aElementOf0(W0,slbdtsldtrb0(xS,xk)))),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(W1,sK15_skl(W0))],[f301])).
% 0.15/0.42 fof(f306,plain,(
% 0.15/0.42 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xS,xk)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f302])).
% 0.15/0.42 fof(f350,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(backward_subsumption_resolution,[status(thm)],[f297,f306])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.45 % Elapsed time: 0.071576 seconds
% 0.15/0.45 % CPU time: 0.209762 seconds
% 0.15/0.45 % Total memory used: 84.337 MB
% 0.15/0.45 % Net memory used: 84.232 MB
%------------------------------------------------------------------------------