%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM633+1 : 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 : n003.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 01:43:24 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM633+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:47:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.43 fof(f94,hypothesis,(
% 0.11/0.43 ( aElementOf0(szDzizrdt0(xd),xT)& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f96,hypothesis,(
% 0.11/0.43 ( aSet0(xO)& isCountable0(xO) ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f98,hypothesis,(
% 0.11/0.43 aSubsetOf0(xO,xS) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f99,conjecture,(
% 0.11/0.43 ( (! [W0] :( aElementOf0(W0,slbdtsldtrb0(xO,xK))=> ( W0 != slcrc0& aSubsetOf0(W0,szNzAzT0)& aElementOf0(W0,szDzozmdt0(xc))& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ))=> (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,xS)& isCountable0(W1)& (! [W2] :( aElementOf0(W2,slbdtsldtrb0(W1,xK))=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f100,negated_conjecture,(
% 0.11/0.43 ~(( (! [W0] :( aElementOf0(W0,slbdtsldtrb0(xO,xK))=> ( W0 != slcrc0& aSubsetOf0(W0,szNzAzT0)& aElementOf0(W0,szDzozmdt0(xc))& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ))=> (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,xS)& isCountable0(W1)& (! [W2] :( aElementOf0(W2,slbdtsldtrb0(W1,xK))=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )) )),
% 0.11/0.43 inference(negated_conjecture,[status(cth)],[f99])).
% 0.11/0.43 fof(f419,plain,(
% 0.11/0.43 aElementOf0(szDzizrdt0(xd),xT)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f94])).
% 0.11/0.43 fof(f424,plain,(
% 0.11/0.43 isCountable0(xO)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f96])).
% 0.11/0.43 fof(f430,plain,(
% 0.11/0.43 aSubsetOf0(xO,xS)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f98])).
% 0.11/0.43 fof(f431,plain,(
% 0.11/0.43 ((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xO,xK))|(((~W0=slcrc0&aSubsetOf0(W0,szNzAzT0))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,xS)|~isCountable0(W1))|(?[W2]: (aElementOf0(W2,slbdtsldtrb0(W1,xK))&~sdtlpdtrp0(xc,W2)=W0)))))))),
% 0.11/0.43 inference(pre_NNF_transformation,[status(thm)],[f100])).
% 0.11/0.43 fof(f432,plain,(
% 0.11/0.43 (![W0]: (~aElementOf0(W0,slbdtsldtrb0(xO,xK))|(((~W0=slcrc0&aSubsetOf0(W0,szNzAzT0))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,xS)|~isCountable0(W1))|(aElementOf0(sK25_skl(W1,W0),slbdtsldtrb0(W1,xK))&~sdtlpdtrp0(xc,sK25_skl(W1,W0))=W0)))))),
% 0.11/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(W2,sK25_skl(W1,W0))],[f431])).
% 0.11/0.43 fof(f436,plain,(
% 0.11/0.43 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xO,xK))|sdtlpdtrp0(xc,X0)=szDzizrdt0(xd))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f432])).
% 0.11/0.43 fof(f437,plain,(
% 0.11/0.43 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|aElementOf0(sK25_skl(X1,X0),slbdtsldtrb0(X1,xK)))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f432])).
% 0.11/0.43 fof(f438,plain,(
% 0.11/0.43 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|~sdtlpdtrp0(xc,sK25_skl(X1,X0))=X0)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f432])).
% 0.11/0.43 fof(f572,plain,(
% 0.11/0.43 ![X0]: (~aElementOf0(X0,xT)|~isCountable0(xO)|~sdtlpdtrp0(xc,sK25_skl(xO,X0))=X0)),
% 0.11/0.43 inference(resolution,[status(thm)],[f430,f438])).
% 0.11/0.43 fof(f573,plain,(
% 0.11/0.43 ![X0]: (~aElementOf0(X0,xT)|~isCountable0(xO)|aElementOf0(sK25_skl(xO,X0),slbdtsldtrb0(xO,xK)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f430,f437])).
% 0.11/0.43 fof(f579,plain,(
% 0.11/0.43 ![X0]: (~aElementOf0(X0,xT)|~sdtlpdtrp0(xc,sK25_skl(xO,X0))=X0)),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f572,f424])).
% 0.11/0.43 fof(f580,plain,(
% 0.11/0.43 ![X0]: (~aElementOf0(X0,xT)|aElementOf0(sK25_skl(xO,X0),slbdtsldtrb0(xO,xK)))),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f573,f424])).
% 0.11/0.43 fof(f606,plain,(
% 0.11/0.43 aElementOf0(sK25_skl(xO,szDzizrdt0(xd)),slbdtsldtrb0(xO,xK))),
% 0.11/0.43 inference(resolution,[status(thm)],[f419,f580])).
% 0.11/0.43 fof(f607,plain,(
% 0.11/0.43 ~sdtlpdtrp0(xc,sK25_skl(xO,szDzizrdt0(xd)))=szDzizrdt0(xd)),
% 0.11/0.43 inference(resolution,[status(thm)],[f419,f579])).
% 0.11/0.43 fof(f655,plain,(
% 0.11/0.43 sdtlpdtrp0(xc,sK25_skl(xO,szDzizrdt0(xd)))=szDzizrdt0(xd)),
% 0.11/0.43 inference(resolution,[status(thm)],[f606,f436])).
% 0.11/0.43 fof(f846,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f655,f607])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.45 % Elapsed time: 0.073155 seconds
% 0.11/0.45 % CPU time: 0.256959 seconds
% 0.11/0.45 % Total memory used: 112.791 MB
% 0.11/0.45 % Net memory used: 112.555 MB
%------------------------------------------------------------------------------