%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM582+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 : n011.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 01:43:16 PM UTC 2026
% Result : Theorem 0.08s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM582+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
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 02:42:11 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.08/0.42 % Refutation found
% 0.08/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.42 fof(f24,axiom,(
% 0.08/0.42 aElementOf0(sz00,szNzAzT0) ),
% 0.08/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f30,axiom,(
% 0.08/0.42 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 0.08/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f81,hypothesis,(
% 0.08/0.42 ( 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))) ) ) ) )) ),
% 0.08/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f83,hypothesis,(
% 0.08/0.42 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) )),
% 0.08/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f85,hypothesis,(
% 0.08/0.42 aElementOf0(xi,szNzAzT0) ),
% 0.08/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f88,conjecture,(
% 0.08/0.42 aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
% 0.08/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f89,negated_conjecture,(
% 0.08/0.42 ~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS) )),
% 0.08/0.42 inference(negated_conjecture,[status(cth)],[f88])).
% 0.08/0.42 fof(f168,plain,(
% 0.08/0.42 aElementOf0(sz00,szNzAzT0)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.42 fof(f182,plain,(
% 0.08/0.42 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 0.08/0.42 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.08/0.42 fof(f183,plain,(
% 0.08/0.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f182])).
% 0.08/0.42 fof(f364,plain,(
% 0.08/0.42 ((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)))))))),
% 0.08/0.42 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 0.08/0.42 fof(f367,plain,(
% 0.08/0.42 sdtlpdtrp0(xN,sz00)=xS),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f364])).
% 0.08/0.42 fof(f373,plain,(
% 0.08/0.42 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1))))),
% 0.08/0.42 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 0.08/0.42 fof(f374,plain,(
% 0.08/0.42 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)))),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f373])).
% 0.08/0.42 fof(f377,plain,(
% 0.08/0.42 aElementOf0(xi,szNzAzT0)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f85])).
% 0.08/0.42 fof(f380,plain,(
% 0.08/0.42 ~aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f89])).
% 0.08/0.42 fof(f639,plain,(
% 0.08/0.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,sz00)))),
% 0.08/0.42 inference(resolution,[status(thm)],[f183,f374])).
% 0.08/0.42 fof(f640,plain,(
% 0.08/0.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS))),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f367,f639])).
% 0.08/0.42 fof(f641,plain,(
% 0.08/0.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS))),
% 0.08/0.42 inference(duplicate_literals_removal,[status(thm)],[f640])).
% 0.08/0.42 fof(f642,plain,(
% 0.08/0.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS))),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f641,f168])).
% 0.08/0.42 fof(f765,plain,(
% 0.08/0.42 ~aElementOf0(xi,szNzAzT0)),
% 0.08/0.42 inference(resolution,[status(thm)],[f642,f380])).
% 0.08/0.42 fof(f768,plain,(
% 0.08/0.42 $false),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f765,f377])).
% 0.08/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.079753 seconds
% 0.14/0.45 % CPU time: 0.256594 seconds
% 0.14/0.45 % Total memory used: 45.832 MB
% 0.14/0.45 % Net memory used: 45.682 MB
%------------------------------------------------------------------------------