%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM603+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 : n026.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 01:43:19 PM UTC 2026
% Result : Theorem 4.16s 1.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM603+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n026.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 02:46:36 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 4.16/1.04 % Refutation found
% 4.16/1.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.16/1.04 % SZS output start CNFRefutation for theBenchmark
% 4.16/1.04 fof(f24,axiom,(
% 4.16/1.04 aElementOf0(sz00,szNzAzT0) ),
% 4.16/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.16/1.04 fof(f30,axiom,(
% 4.16/1.04 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 4.16/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.16/1.04 fof(f81,hypothesis,(
% 4.16/1.04 ( 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))) ) ) ) )) ),
% 4.16/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.16/1.04 fof(f83,hypothesis,(
% 4.16/1.04 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) )),
% 4.16/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.16/1.04 fof(f99,hypothesis,(
% 4.16/1.04 ( aElementOf0(xi,szNzAzT0)& sdtlpdtrp0(xe,xi) = xx ) ),
% 4.16/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.16/1.04 fof(f100,conjecture,(
% 4.16/1.04 aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
% 4.16/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.16/1.04 fof(f101,negated_conjecture,(
% 4.16/1.04 ~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS) )),
% 4.16/1.04 inference(negated_conjecture,[status(cth)],[f100])).
% 4.16/1.04 fof(f180,plain,(
% 4.16/1.04 aElementOf0(sz00,szNzAzT0)),
% 4.16/1.04 inference(cnf_transformation,[status(thm)],[f24])).
% 4.16/1.04 fof(f194,plain,(
% 4.16/1.04 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 4.16/1.04 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 4.16/1.04 fof(f195,plain,(
% 4.16/1.04 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 4.16/1.04 inference(cnf_transformation,[status(thm)],[f194])).
% 4.16/1.04 fof(f376,plain,(
% 4.16/1.04 ((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)))))))),
% 4.16/1.04 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 4.16/1.04 fof(f379,plain,(
% 4.16/1.04 sdtlpdtrp0(xN,sz00)=xS),
% 4.16/1.04 inference(cnf_transformation,[status(thm)],[f376])).
% 4.16/1.04 fof(f385,plain,(
% 4.16/1.04 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1))))),
% 4.16/1.04 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 4.16/1.04 fof(f386,plain,(
% 4.16/1.04 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)))),
% 4.16/1.04 inference(cnf_transformation,[status(thm)],[f385])).
% 4.16/1.04 fof(f432,plain,(
% 4.16/1.04 aElementOf0(xi,szNzAzT0)),
% 4.16/1.04 inference(cnf_transformation,[status(thm)],[f99])).
% 4.16/1.04 fof(f434,plain,(
% 4.16/1.04 ~aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),
% 4.16/1.04 inference(cnf_transformation,[status(thm)],[f101])).
% 4.16/1.04 fof(f580,definition,(
% 4.16/1.04 sQ16_spl <=> (aElementOf0(sz00,szNzAzT0))),
% 4.16/1.04 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 4.16/1.04 fof(f582,plain,(
% 4.16/1.04 ~aElementOf0(sz00,szNzAzT0)|sQ16_spl),
% 4.16/1.04 inference(component_clause,[status(thm)],[f580])).
% 4.16/1.04 fof(f1052,plain,(
% 4.16/1.04 $false|sQ16_spl),
% 4.16/1.04 inference(forward_subsumption_resolution,[status(thm)],[f180,f582])).
% 4.16/1.04 fof(f1053,plain,(
% 4.16/1.04 sQ16_spl),
% 4.16/1.04 inference(contradiction_clause,[status(thm)],[f1052])).
% 4.16/1.04 fof(f1229,plain,(
% 4.16/1.04 sdtlseqdt0(sz00,xi)),
% 4.16/1.04 inference(resolution,[status(thm)],[f432,f195])).
% 4.16/1.04 fof(f1460,definition,(
% 4.16/1.04 sQ122_spl <=> (aElementOf0(xi,szNzAzT0))),
% 4.16/1.04 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 4.16/1.04 fof(f1462,plain,(
% 4.16/1.04 ~aElementOf0(xi,szNzAzT0)|sQ122_spl),
% 4.16/1.04 inference(component_clause,[status(thm)],[f1460])).
% 4.16/1.04 fof(f1475,plain,(
% 4.16/1.04 $false|sQ122_spl),
% 4.16/1.04 inference(forward_subsumption_resolution,[status(thm)],[f1462,f432])).
% 4.16/1.04 fof(f1476,plain,(
% 4.16/1.04 sQ122_spl),
% 4.16/1.04 inference(contradiction_clause,[status(thm)],[f1475])).
% 4.16/1.04 fof(f5062,plain,(
% 4.16/1.04 ~aElementOf0(xi,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))),
% 4.16/1.07 inference(resolution,[status(thm)],[f386,f1229])).
% 4.16/1.07 fof(f5093,definition,(
% 4.16/1.07 sQ595_spl <=> (aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)))),
% 4.16/1.07 introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition])).
% 4.16/1.07 fof(f5094,plain,(
% 4.16/1.07 aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))|~sQ595_spl),
% 4.16/1.07 inference(component_clause,[status(thm)],[f5093])).
% 4.16/1.07 fof(f5096,plain,(
% 4.16/1.07 ~sQ122_spl|~sQ16_spl|sQ595_spl),
% 4.16/1.07 inference(split_clause,[status(thm)],[f5062,f1460,f580,f5093])).
% 4.16/1.07 fof(f5106,plain,(
% 4.16/1.07 aSubsetOf0(sdtlpdtrp0(xN,xi),xS)|~sQ595_spl),
% 4.16/1.07 inference(forward_demodulation,[status(thm)],[f379,f5094])).
% 4.16/1.07 fof(f5107,plain,(
% 4.16/1.07 $false|~sQ595_spl),
% 4.16/1.07 inference(forward_subsumption_resolution,[status(thm)],[f5106,f434])).
% 4.16/1.07 fof(f5108,plain,(
% 4.16/1.07 ~sQ595_spl),
% 4.16/1.07 inference(contradiction_clause,[status(thm)],[f5107])).
% 4.16/1.07 fof(f5109,plain,(
% 4.16/1.07 $false),
% 4.16/1.07 inference(sat_refutation,[status(thm)],[f1053,f1476,f5096,f5108])).
% 4.16/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 4.16/1.09 % Elapsed time: 0.619337 seconds
% 4.16/1.09 % CPU time: 4.534403 seconds
% 4.16/1.09 % Total memory used: 157.071 MB
% 4.16/1.09 % Net memory used: 153.673 MB
%------------------------------------------------------------------------------