%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM550+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 : n012.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 0.03s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM550+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 02:38:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.32 fof(f5,definition,(
% 0.03/0.32 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.03/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f42,axiom,(
% 0.03/0.32 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 0.03/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f62,hypothesis,(
% 0.03/0.32 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 0.03/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f66,hypothesis,(
% 0.03/0.32 ( aSet0(xQ)& isFinite0(xQ)& sbrdtbr0(xQ) = xk ) ),
% 0.03/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f67,conjecture,(
% 0.03/0.32 xQ != slcrc0 ),
% 0.03/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f68,negated_conjecture,(
% 0.03/0.32 ~(xQ != slcrc0 )),
% 0.03/0.32 inference(negated_conjecture,[status(cth)],[f67])).
% 0.03/0.32 fof(f79,plain,(
% 0.03/0.32 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.03/0.32 fof(f80,plain,(
% 0.03/0.32 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.03/0.32 inference(NNF_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f81,plain,(
% 0.03/0.32 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f80])).
% 0.03/0.32 fof(f82,plain,(
% 0.03/0.32 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.03/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f81])).
% 0.03/0.32 fof(f83,plain,(
% 0.03/0.32 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f82])).
% 0.03/0.32 fof(f189,plain,(
% 0.03/0.32 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.03/0.32 fof(f190,plain,(
% 0.03/0.32 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 0.03/0.32 inference(NNF_transformation,[status(thm)],[f189])).
% 0.03/0.32 fof(f192,plain,(
% 0.03/0.32 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f190])).
% 0.03/0.32 fof(f270,plain,(
% 0.03/0.32 ~xk=sz00),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f62])).
% 0.03/0.32 fof(f277,plain,(
% 0.03/0.32 sbrdtbr0(xQ)=xk),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f66])).
% 0.03/0.32 fof(f278,plain,(
% 0.03/0.32 xQ=slcrc0),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f68])).
% 0.03/0.32 fof(f285,plain,(
% 0.03/0.32 aSet0(slcrc0)),
% 0.03/0.32 inference(destructive_equality_resolution,[status(thm)],[f83])).
% 0.03/0.32 fof(f297,plain,(
% 0.03/0.32 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 0.03/0.32 inference(destructive_equality_resolution,[status(thm)],[f192])).
% 0.03/0.32 fof(f313,plain,(
% 0.03/0.32 aSet0(xQ)),
% 0.03/0.32 inference(forward_demodulation,[status(thm)],[f278,f285])).
% 0.03/0.32 fof(f635,plain,(
% 0.03/0.32 ~aSet0(xQ)|sbrdtbr0(slcrc0)=sz00),
% 0.03/0.32 inference(forward_demodulation,[status(thm)],[f278,f297])).
% 0.03/0.32 fof(f636,plain,(
% 0.03/0.32 ~aSet0(xQ)|sbrdtbr0(xQ)=sz00),
% 0.03/0.32 inference(forward_demodulation,[status(thm)],[f278,f635])).
% 0.03/0.32 fof(f637,plain,(
% 0.03/0.32 ~aSet0(xQ)|xk=sz00),
% 0.03/0.32 inference(forward_demodulation,[status(thm)],[f277,f636])).
% 0.03/0.32 fof(f649,plain,(
% 0.03/0.32 ~xk=xk),
% 0.03/0.32 inference(backward_demodulation,[status(thm)],[f650,f270])).
% 0.03/0.32 fof(f650,plain,(
% 0.03/0.32 xk=sz00),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f637,f313])).
% 0.03/0.32 fof(f653,plain,(
% 0.03/0.32 $false),
% 0.03/0.32 inference(trivial_equality_resolution,[status(thm)],[f649])).
% 0.03/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.33 % Elapsed time: 0.038438 seconds
% 0.07/0.33 % CPU time: 0.092378 seconds
% 0.07/0.33 % Total memory used: 106.786 MB
% 0.07/0.33 % Net memory used: 106.641 MB
%------------------------------------------------------------------------------