%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM551+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 : n010.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM551+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
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:39:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,definition,(
% 0.13/0.39 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f66,hypothesis,(
% 0.13/0.39 ( aSet0(xQ)& isFinite0(xQ)& sbrdtbr0(xQ) = xk ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f67,hypothesis,(
% 0.13/0.39 xQ != slcrc0 ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f68,conjecture,(
% 0.13/0.39 (? [W0] :( aElement0(W0)& aElementOf0(W0,xQ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f69,negated_conjecture,(
% 0.13/0.39 ~((? [W0] :( aElement0(W0)& aElementOf0(W0,xQ) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f68])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f80])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f81])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f82])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 aSet0(xQ)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.39 fof(f279,plain,(
% 0.13/0.39 ~xQ=slcrc0),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.39 fof(f280,plain,(
% 0.13/0.39 (![W0]: (~aElement0(W0)|~aElementOf0(W0,xQ)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.13/0.39 fof(f281,plain,(
% 0.13/0.39 ![X0]: (~aElement0(X0)|~aElementOf0(X0,xQ))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f280])).
% 0.13/0.39 fof(f316,plain,(
% 0.13/0.39 ![X0]: (~aElementOf0(X0,xQ)|aElement0(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f276,f77])).
% 0.13/0.39 fof(f317,plain,(
% 0.13/0.39 ![X0]: (~aElementOf0(X0,xQ))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f316,f281])).
% 0.13/0.39 fof(f321,plain,(
% 0.13/0.39 xQ=slcrc0|~aSet0(xQ)),
% 0.13/0.39 inference(resolution,[status(thm)],[f86,f317])).
% 0.13/0.39 fof(f322,plain,(
% 0.13/0.39 ~aSet0(xQ)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f321,f279])).
% 0.13/0.39 fof(f326,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f322,f276])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.057737 seconds
% 0.13/0.43 % CPU time: 0.157175 seconds
% 0.13/0.43 % Total memory used: 106.303 MB
% 0.13/0.43 % Net memory used: 106.186 MB
%------------------------------------------------------------------------------