%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM549+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 : n018.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 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM549+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n018.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 02:41:13 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f3,axiom,(
% 0.15/0.47 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f5,definition,(
% 0.15/0.47 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f42,axiom,(
% 0.15/0.47 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f62,hypothesis,(
% 0.15/0.47 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f65,hypothesis,(
% 0.15/0.47 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& sbrdtbr0(xQ) = xk& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f67,conjecture,(
% 0.15/0.47 (? [W0] :( aElement0(W0)& aElementOf0(W0,xQ) ) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f68,negated_conjecture,(
% 0.15/0.47 ~((? [W0] :( aElement0(W0)& aElementOf0(W0,xQ) ) ))),
% 0.15/0.47 inference(negated_conjecture,[status(cth)],[f67])).
% 0.15/0.47 fof(f75,plain,(
% 0.15/0.47 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.15/0.47 fof(f76,plain,(
% 0.15/0.47 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f75])).
% 0.15/0.47 fof(f79,plain,(
% 0.15/0.47 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/0.47 fof(f80,plain,(
% 0.15/0.47 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f79])).
% 0.15/0.47 fof(f81,plain,(
% 0.15/0.47 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f80])).
% 0.15/0.47 fof(f82,plain,(
% 0.15/0.47 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f81])).
% 0.15/0.47 fof(f83,plain,(
% 0.15/0.47 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f82])).
% 0.15/0.47 fof(f85,plain,(
% 0.15/0.47 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f82])).
% 0.15/0.47 fof(f189,plain,(
% 0.15/0.47 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.15/0.47 fof(f190,plain,(
% 0.15/0.47 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f189])).
% 0.15/0.47 fof(f192,plain,(
% 0.15/0.47 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/0.47 fof(f270,plain,(
% 0.15/0.47 ~xk=sz00),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/0.47 fof(f302,plain,(
% 0.15/0.47 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.15/0.47 fof(f303,plain,(
% 0.15/0.47 aSet0(xQ)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f302])).
% 0.15/0.47 fof(f306,plain,(
% 0.15/0.47 sbrdtbr0(xQ)=xk),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f302])).
% 0.15/0.47 fof(f311,plain,(
% 0.15/0.47 (![W0]: (~aElement0(W0)|~aElementOf0(W0,xQ)))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.15/0.47 fof(f312,plain,(
% 0.15/0.47 ![X0]: (~aElement0(X0)|~aElementOf0(X0,xQ))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f311])).
% 0.15/0.47 fof(f319,plain,(
% 0.15/0.47 aSet0(slcrc0)),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f83])).
% 0.15/0.47 fof(f338,plain,(
% 0.15/0.47 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f192])).
% 0.15/0.47 fof(f339,plain,(
% 0.15/0.47 sbrdtbr0(slcrc0)=sz00),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f338,f319])).
% 0.15/0.47 fof(f359,plain,(
% 0.15/0.47 xQ=slcrc0|~aSet0(xQ)|~aElement0(sK0_skl(xQ))),
% 0.15/0.47 inference(resolution,[status(thm)],[f85,f312])).
% 0.15/0.47 fof(f361,plain,(
% 0.15/0.47 ![X0]: (X0=slcrc0|~aSet0(X0)|~aSet0(X0)|aElement0(sK0_skl(X0)))),
% 0.15/0.47 inference(resolution,[status(thm)],[f85,f76])).
% 0.15/0.47 fof(f362,plain,(
% 0.15/0.47 xQ=slcrc0|~aElement0(sK0_skl(xQ))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f359,f303])).
% 0.15/0.47 fof(f364,plain,(
% 0.15/0.47 ![X0]: (X0=slcrc0|~aSet0(X0)|aElement0(sK0_skl(X0)))),
% 0.15/0.47 inference(duplicate_literals_removal,[status(thm)],[f361])).
% 0.15/0.47 fof(f373,plain,(
% 0.15/0.47 xQ=slcrc0|~aSet0(xQ)|xQ=slcrc0),
% 0.15/0.47 inference(resolution,[status(thm)],[f364,f362])).
% 0.15/0.47 fof(f374,plain,(
% 0.15/0.47 xQ=slcrc0|~aSet0(xQ)),
% 0.15/0.47 inference(duplicate_literals_removal,[status(thm)],[f373])).
% 0.15/0.47 fof(f379,plain,(
% 0.15/0.47 sbrdtbr0(slcrc0)=xk),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f386,f306])).
% 0.15/0.47 fof(f386,plain,(
% 0.15/0.47 xQ=slcrc0),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f374,f303])).
% 0.15/0.47 fof(f387,plain,(
% 0.15/0.47 sz00=xk),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f339,f379])).
% 0.15/0.47 fof(f388,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f387,f270])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.50 % Elapsed time: 0.070868 seconds
% 0.15/0.50 % CPU time: 0.206011 seconds
% 0.15/0.50 % Total memory used: 77.779 MB
% 0.15/0.50 % Net memory used: 77.693 MB
%------------------------------------------------------------------------------