%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM548+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 : n006.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 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM548+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
% 0.09/5.36 % Computer : n006.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 02:39:19 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f41,axiom,(
% 0.14/5.41 (! [W0] :( aSet0(W0)=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)<=> isFinite0(W0) ) ) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f61,hypothesis,(
% 0.14/5.41 aElementOf0(xk,szNzAzT0) ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f65,hypothesis,(
% 0.14/5.41 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& sbrdtbr0(xQ) = xk& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f66,conjecture,(
% 0.14/5.41 isFinite0(xQ) ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f67,negated_conjecture,(
% 0.14/5.41 ~(isFinite0(xQ) )),
% 0.14/5.41 inference(negated_conjecture,[status(cth)],[f66])).
% 0.14/5.41 fof(f184,plain,(
% 0.14/5.41 ![W0]: (~aSet0(W0)|(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.14/5.41 fof(f185,plain,(
% 0.14/5.41 ![W0]: (~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(aElementOf0(sbrdtbr0(W0),szNzAzT0)|~isFinite0(W0))))),
% 0.14/5.41 inference(NNF_transformation,[status(thm)],[f184])).
% 0.14/5.41 fof(f186,plain,(
% 0.14/5.41 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X0),szNzAzT0)|isFinite0(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f185])).
% 0.14/5.41 fof(f266,plain,(
% 0.14/5.41 aElementOf0(xk,szNzAzT0)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/5.41 fof(f301,plain,(
% 0.14/5.41 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.14/5.41 fof(f302,plain,(
% 0.14/5.41 aSet0(xQ)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f301])).
% 0.14/5.41 fof(f305,plain,(
% 0.14/5.41 sbrdtbr0(xQ)=xk),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f301])).
% 0.14/5.41 fof(f307,plain,(
% 0.14/5.41 ~isFinite0(xQ)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/5.41 fof(f349,definition,(
% 0.14/5.41 sQ2_spl <=> (isFinite0(xQ))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f350,plain,(
% 0.14/5.41 isFinite0(xQ)|~sQ2_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f349])).
% 0.14/5.41 fof(f353,plain,(
% 0.14/5.41 $false|~sQ2_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f350,f307])).
% 0.14/5.41 fof(f354,plain,(
% 0.14/5.41 ~sQ2_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f353])).
% 0.14/5.41 fof(f355,plain,(
% 0.14/5.41 ~aSet0(xQ)|~aElementOf0(xk,szNzAzT0)|isFinite0(xQ)),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f305,f186])).
% 0.14/5.41 fof(f356,definition,(
% 0.14/5.41 sQ3_spl <=> (aSet0(xQ))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f358,plain,(
% 0.14/5.41 ~aSet0(xQ)|sQ3_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f356])).
% 0.14/5.41 fof(f359,definition,(
% 0.14/5.41 sQ4_spl <=> (aElementOf0(xk,szNzAzT0))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f361,plain,(
% 0.14/5.41 ~aElementOf0(xk,szNzAzT0)|sQ4_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f359])).
% 0.14/5.41 fof(f362,plain,(
% 0.14/5.41 ~sQ3_spl|~sQ4_spl|sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f355,f356,f359,f349])).
% 0.14/5.41 fof(f363,plain,(
% 0.14/5.41 $false|sQ3_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f358,f302])).
% 0.14/5.41 fof(f364,plain,(
% 0.14/5.41 sQ3_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f363])).
% 0.14/5.41 fof(f711,plain,(
% 0.14/5.41 $false|sQ4_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f266,f361])).
% 0.14/5.41 fof(f712,plain,(
% 0.14/5.41 sQ4_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f711])).
% 0.14/5.41 fof(f713,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(sat_refutation,[status(thm)],[f354,f362,f364,f712])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.45 % Elapsed time: 0.065290 seconds
% 0.14/5.45 % CPU time: 0.188829 seconds
% 0.14/5.45 % Total memory used: 108.237 MB
% 0.14/5.45 % Net memory used: 108.078 MB
%------------------------------------------------------------------------------