%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM552+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 : n011.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 01:43:11 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM552+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
% 0.09/0.36 % Computer : n011.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 02:39:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f63,hypothesis,(
% 0.09/0.41 ( 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 ) ) ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f65,hypothesis,(
% 0.09/0.41 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& sbrdtbr0(xQ) = xk& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f68,conjecture,(
% 0.09/0.41 ( aElementOf0(xx,xQ)=> aElementOf0(xx,xT) ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f69,negated_conjecture,(
% 0.09/0.41 ~(( aElementOf0(xx,xQ)=> aElementOf0(xx,xT) ) )),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f68])).
% 0.09/0.41 fof(f272,plain,(
% 0.09/0.41 (((((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))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f63])).
% 0.09/0.41 fof(f273,plain,(
% 0.09/0.41 (((((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))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f272])).
% 0.09/0.41 fof(f274,plain,(
% 0.09/0.41 (((((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))),
% 0.09/0.41 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)],[f273])).
% 0.09/0.41 fof(f285,plain,(
% 0.09/0.41 ![X0,X1]: (~aElementOf0(X0,slbdtsldtrb0(xT,xk))|~aElementOf0(X1,X0)|aElementOf0(X1,xT))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f274])).
% 0.09/0.41 fof(f291,plain,(
% 0.09/0.41 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f274])).
% 0.09/0.41 fof(f303,plain,(
% 0.09/0.41 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.09/0.41 fof(f308,plain,(
% 0.09/0.41 aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f303])).
% 0.09/0.41 fof(f314,plain,(
% 0.09/0.41 (aElementOf0(xx,xQ)&~aElementOf0(xx,xT))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.09/0.41 fof(f315,plain,(
% 0.09/0.41 aElementOf0(xx,xQ)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f314])).
% 0.09/0.41 fof(f316,plain,(
% 0.09/0.41 ~aElementOf0(xx,xT)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f314])).
% 0.09/0.41 fof(f389,plain,(
% 0.09/0.41 aElementOf0(xQ,slbdtsldtrb0(xT,xk))),
% 0.09/0.41 inference(resolution,[status(thm)],[f291,f308])).
% 0.09/0.41 fof(f394,plain,(
% 0.09/0.41 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,xT))),
% 0.09/0.41 inference(resolution,[status(thm)],[f389,f285])).
% 0.09/0.41 fof(f403,plain,(
% 0.09/0.41 aElementOf0(xx,xT)),
% 0.09/0.41 inference(resolution,[status(thm)],[f394,f315])).
% 0.09/0.41 fof(f405,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f403,f316])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.106934 seconds
% 0.14/0.49 % CPU time: 0.165044 seconds
% 0.14/0.49 % Total memory used: 27.597 MB
% 0.14/0.49 % Net memory used: 27.535 MB
%------------------------------------------------------------------------------