%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM557+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 : n016.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 01:43:12 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM557+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 02:44:37 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f72,hypothesis,(
% 0.18/0.50 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xS) ))& aSubsetOf0(xP,xS)& sbrdtbr0(xP) = xk ) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f73,conjecture,(
% 0.18/0.50 ( ( ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xS) ))| aSubsetOf0(xP,xS) )& sbrdtbr0(xP) = xk )| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f74,negated_conjecture,(
% 0.18/0.50 ~(( ( ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xS) ))| aSubsetOf0(xP,xS) )& sbrdtbr0(xP) = xk )| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ) )),
% 0.18/0.50 inference(negated_conjecture,[status(cth)],[f73])).
% 0.18/0.50 fof(f342,plain,(
% 0.18/0.50 ((![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,xS)))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f72])).
% 0.18/0.50 fof(f344,plain,(
% 0.18/0.50 aSubsetOf0(xP,xS)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f342])).
% 0.18/0.50 fof(f345,plain,(
% 0.18/0.50 sbrdtbr0(xP)=xk),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f342])).
% 0.18/0.50 fof(f346,plain,(
% 0.18/0.50 ((((?[W0]: (aElementOf0(W0,xP)&~aElementOf0(W0,xS)))&~aSubsetOf0(xP,xS))|~sbrdtbr0(xP)=xk)&~aElementOf0(xP,slbdtsldtrb0(xS,xk)))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 0.18/0.50 fof(f347,plain,(
% 0.18/0.50 (((aElementOf0(sK15_skl,xP)&~aElementOf0(sK15_skl,xS))&~aSubsetOf0(xP,xS))|~sbrdtbr0(xP)=xk)&~aElementOf0(xP,slbdtsldtrb0(xS,xk))),
% 0.18/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(W0,sK15_skl)],[f346])).
% 0.18/0.50 fof(f350,plain,(
% 0.18/0.50 ~aSubsetOf0(xP,xS)|~sbrdtbr0(xP)=xk),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f347])).
% 0.18/0.50 fof(f361,definition,(
% 0.18/0.50 sQ1_spl <=> (sbrdtbr0(xP)=xk)),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f363,plain,(
% 0.18/0.50 ~sbrdtbr0(xP)=xk|sQ1_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f361])).
% 0.18/0.50 fof(f369,definition,(
% 0.18/0.50 sQ3_spl <=> (aSubsetOf0(xP,xS))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f371,plain,(
% 0.18/0.50 ~aSubsetOf0(xP,xS)|sQ3_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f369])).
% 0.18/0.50 fof(f372,plain,(
% 0.18/0.50 ~sQ3_spl|~sQ1_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f350,f369,f361])).
% 0.18/0.50 fof(f414,plain,(
% 0.18/0.50 $false|sQ1_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f345,f363])).
% 0.18/0.50 fof(f415,plain,(
% 0.18/0.50 sQ1_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f414])).
% 0.18/0.50 fof(f416,plain,(
% 0.18/0.50 $false|sQ3_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f371,f344])).
% 0.18/0.50 fof(f417,plain,(
% 0.18/0.50 sQ3_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f416])).
% 0.18/0.50 fof(f418,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(sat_refutation,[status(thm)],[f372,f415,f417])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.57 % Elapsed time: 0.121621 seconds
% 0.27/0.57 % CPU time: 0.110404 seconds
% 0.27/0.57 % Total memory used: 3.417 MB
% 0.27/0.57 % Net memory used: 3.414 MB
%------------------------------------------------------------------------------