%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM571+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 : n012.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 01:43:14 PM UTC 2026
% Result : Theorem 0.06s 15.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM571+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/15.35 % Computer : n012.cluster.edu
% 0.06/15.35 % Model : x86_64 x86_64
% 0.06/15.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/15.35 % Memory : 8046.5625MB
% 0.06/15.35 % OS : Linux 6.8.0-71-generic
% 0.06/15.35 % CPULimit : 300
% 0.06/15.35 % WCLimit : 300
% 0.06/15.35 % DateTime : Mon Sep 21 02:41:10 UTC 2026
% 0.06/15.35 % CPUTime :
% 0.06/15.36 % Drodi V4.1.1
% 0.06/15.37 % Refutation found
% 0.06/15.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/15.37 % SZS output start CNFRefutation for theBenchmark
% 0.06/15.37 fof(f75,hypothesis,(
% 0.06/15.37 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.06/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/15.37 fof(f81,hypothesis,(
% 0.06/15.37 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 0.06/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/15.37 fof(f84,hypothesis,(
% 0.06/15.37 ( xi != sz00=> ( (? [W0] :( aElementOf0(W0,szNzAzT0)& szszuzczcdt0(W0) = xi ))& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,xi)) ) ) ),
% 0.06/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/15.37 fof(f85,conjecture,(
% 0.06/15.37 ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
% 0.06/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/15.37 fof(f86,negated_conjecture,(
% 0.06/15.37 ~(( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,xi)) ) )),
% 0.06/15.37 inference(negated_conjecture,[status(cth)],[f85])).
% 0.06/15.37 fof(f346,plain,(
% 0.06/15.37 aSubsetOf0(xS,szNzAzT0)),
% 0.06/15.37 inference(cnf_transformation,[status(thm)],[f75])).
% 0.06/15.37 fof(f347,plain,(
% 0.06/15.37 isCountable0(xS)),
% 0.06/15.37 inference(cnf_transformation,[status(thm)],[f75])).
% 0.06/15.37 fof(f361,plain,(
% 0.06/15.37 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,W0)))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 0.06/15.37 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 0.06/15.37 fof(f364,plain,(
% 0.06/15.37 sdtlpdtrp0(xN,sz00)=xS),
% 0.06/15.37 inference(cnf_transformation,[status(thm)],[f361])).
% 0.06/15.37 fof(f371,plain,(
% 0.06/15.37 xi=sz00|(((?[W0]: (aElementOf0(W0,szNzAzT0)&szszuzczcdt0(W0)=xi))&aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,xi)))),
% 0.06/15.37 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.06/15.37 fof(f372,plain,(
% 0.06/15.37 xi=sz00|(((aElementOf0(sK21_skl,szNzAzT0)&szszuzczcdt0(sK21_skl)=xi)&aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,xi)))),
% 0.06/15.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(W0,sK21_skl)],[f371])).
% 0.06/15.37 fof(f375,plain,(
% 0.06/15.37 xi=sz00|aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)),
% 0.06/15.37 inference(cnf_transformation,[status(thm)],[f372])).
% 0.06/15.37 fof(f376,plain,(
% 0.06/15.37 xi=sz00|isCountable0(sdtlpdtrp0(xN,xi))),
% 0.06/15.37 inference(cnf_transformation,[status(thm)],[f372])).
% 0.06/15.37 fof(f377,plain,(
% 0.06/15.37 (~aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,xi)))),
% 0.06/15.37 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 0.06/15.37 fof(f378,plain,(
% 0.06/15.37 ~aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,xi))),
% 0.06/15.37 inference(cnf_transformation,[status(thm)],[f377])).
% 0.06/15.37 fof(f483,plain,(
% 0.06/15.37 xi=sz00|~isCountable0(sdtlpdtrp0(xN,xi))),
% 0.06/15.37 inference(resolution,[status(thm)],[f375,f378])).
% 0.06/15.37 fof(f490,plain,(
% 0.06/15.37 ~aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,sz00))),
% 0.06/15.37 inference(backward_demodulation,[status(thm)],[f495,f378])).
% 0.06/15.37 fof(f495,plain,(
% 0.06/15.37 xi=sz00),
% 0.06/15.37 inference(forward_subsumption_resolution,[status(thm)],[f483,f376])).
% 0.06/15.37 fof(f496,plain,(
% 0.06/15.37 ~aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,sz00))),
% 0.06/15.37 inference(forward_demodulation,[status(thm)],[f495,f490])).
% 0.06/15.37 fof(f497,plain,(
% 0.06/15.37 ~aSubsetOf0(xS,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,sz00))),
% 0.06/15.37 inference(forward_demodulation,[status(thm)],[f364,f496])).
% 0.06/15.37 fof(f498,plain,(
% 0.06/15.37 ~aSubsetOf0(xS,szNzAzT0)|~isCountable0(xS)),
% 0.06/15.37 inference(forward_demodulation,[status(thm)],[f364,f497])).
% 0.06/15.37 fof(f500,plain,(
% 0.06/15.37 ~isCountable0(xS)),
% 0.06/15.37 inference(forward_subsumption_resolution,[status(thm)],[f498,f346])).
% 0.06/15.37 fof(f501,plain,(
% 0.06/15.37 $false),
% 0.06/15.37 inference(backward_subsumption_resolution,[status(thm)],[f347,f500])).
% 0.06/15.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.06/15.39 % Elapsed time: 0.033644 seconds
% 0.06/15.39 % CPU time: 0.103452 seconds
% 0.06/15.39 % Total memory used: 28.594 MB
% 0.06/15.39 % Net memory used: 28.462 MB
%------------------------------------------------------------------------------