%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM551+3 : 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 : n006.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 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM551+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:38:57 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,definition,(
% 0.10/0.40 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f65,hypothesis,(
% 0.10/0.40 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& sbrdtbr0(xQ) = xk& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f67,hypothesis,(
% 0.10/0.40 ~ ( ~ (? [W0] : aElementOf0(W0,xQ))| xQ = slcrc0 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f68,conjecture,(
% 0.10/0.40 (? [W0] :( aElement0(W0)& aElementOf0(W0,xQ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f69,negated_conjecture,(
% 0.10/0.40 ~((? [W0] :( aElement0(W0)& aElementOf0(W0,xQ) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f68])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f77,plain,(
% 0.10/0.40 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f81,plain,(
% 0.10/0.40 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f80])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f81])).
% 0.10/0.40 fof(f83,plain,(
% 0.10/0.40 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f82])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.10/0.40 fof(f303,plain,(
% 0.10/0.40 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.10/0.40 fof(f304,plain,(
% 0.10/0.40 aSet0(xQ)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f303])).
% 0.10/0.40 fof(f312,plain,(
% 0.10/0.40 ((?[W0]: aElementOf0(W0,xQ))&~xQ=slcrc0)),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.10/0.40 fof(f313,plain,(
% 0.10/0.40 aElementOf0(sK15_skl,xQ)&~xQ=slcrc0),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(W0,sK15_skl)],[f312])).
% 0.10/0.40 fof(f315,plain,(
% 0.10/0.40 ~xQ=slcrc0),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f313])).
% 0.10/0.40 fof(f316,plain,(
% 0.10/0.40 (![W0]: (~aElement0(W0)|~aElementOf0(W0,xQ)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.10/0.40 fof(f317,plain,(
% 0.10/0.40 ![X0]: (~aElement0(X0)|~aElementOf0(X0,xQ))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f316])).
% 0.10/0.40 fof(f353,plain,(
% 0.10/0.40 ![X0]: (~aElementOf0(X0,xQ)|aElement0(X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f304,f77])).
% 0.10/0.40 fof(f354,plain,(
% 0.10/0.40 ![X0]: (~aElementOf0(X0,xQ))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f353,f317])).
% 0.10/0.40 fof(f365,plain,(
% 0.10/0.40 xQ=slcrc0|~aSet0(xQ)),
% 0.10/0.40 inference(resolution,[status(thm)],[f354,f86])).
% 0.10/0.40 fof(f366,plain,(
% 0.10/0.40 xQ=slcrc0),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f365,f304])).
% 0.10/0.40 fof(f373,plain,(
% 0.10/0.40 ~slcrc0=slcrc0),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f366,f315])).
% 0.10/0.40 fof(f374,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f373])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.052186 seconds
% 0.10/0.43 % CPU time: 0.144057 seconds
% 0.10/0.43 % Total memory used: 94.396 MB
% 0.10/0.43 % Net memory used: 94.300 MB
%------------------------------------------------------------------------------