%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM557+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 : n008.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 01:43:12 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM557+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 02:40:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f57,definition,(
% 0.13/0.40 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f61,hypothesis,(
% 0.13/0.40 aElementOf0(xk,szNzAzT0) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f62,hypothesis,(
% 0.13/0.40 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f72,hypothesis,(
% 0.13/0.40 ( aSubsetOf0(xP,xS)& sbrdtbr0(xP) = xk ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f73,conjecture,(
% 0.13/0.40 aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f74,negated_conjecture,(
% 0.13/0.40 ~(aElementOf0(xP,slbdtsldtrb0(xS,xk)) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f73])).
% 0.13/0.40 fof(f256,plain,(
% 0.13/0.40 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.13/0.40 fof(f257,plain,(
% 0.13/0.40 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f256])).
% 0.13/0.40 fof(f258,plain,(
% 0.13/0.40 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f257])).
% 0.13/0.40 fof(f259,plain,(
% 0.13/0.40 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sK10_skl(W2,W1,W0),W2)|(~aSubsetOf0(sK10_skl(W2,W1,W0),W0)|~sbrdtbr0(sK10_skl(W2,W1,W0))=W1))&(aElementOf0(sK10_skl(W2,W1,W0),W2)|(aSubsetOf0(sK10_skl(W2,W1,W0),W0)&sbrdtbr0(sK10_skl(W2,W1,W0))=W1))))))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f258])).
% 0.13/0.40 fof(f263,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f259])).
% 0.13/0.40 fof(f273,plain,(
% 0.13/0.40 aElementOf0(xk,szNzAzT0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 aSet0(xS)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.40 fof(f291,plain,(
% 0.13/0.40 aSubsetOf0(xP,xS)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/0.40 fof(f292,plain,(
% 0.13/0.40 sbrdtbr0(xP)=xk),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/0.40 fof(f293,plain,(
% 0.13/0.40 ~aElementOf0(xP,slbdtsldtrb0(xS,xk))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/0.40 fof(f326,plain,(
% 0.13/0.40 ![X0,X1]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))|~aSubsetOf0(X1,X0))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f263])).
% 0.13/0.40 fof(f343,plain,(
% 0.13/0.40 ![X0]: (~aSet0(X0)|~aElementOf0(xk,szNzAzT0)|aElementOf0(xP,slbdtsldtrb0(X0,sbrdtbr0(xP)))|~aSubsetOf0(xP,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f292,f326])).
% 0.13/0.40 fof(f344,plain,(
% 0.13/0.40 ![X0]: (~aSet0(X0)|~aElementOf0(xk,szNzAzT0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f292,f343])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 ![X0]: (~aSet0(X0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f344,f273])).
% 0.13/0.40 fof(f392,plain,(
% 0.13/0.40 ~aSet0(xS)|aElementOf0(xP,slbdtsldtrb0(xS,xk))),
% 0.13/0.40 inference(resolution,[status(thm)],[f345,f291])).
% 0.13/0.40 fof(f394,plain,(
% 0.13/0.40 aElementOf0(xP,slbdtsldtrb0(xS,xk))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f392,f274])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f394,f293])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.062221 seconds
% 0.13/0.44 % CPU time: 0.193091 seconds
% 0.13/0.44 % Total memory used: 107.480 MB
% 0.13/0.44 % Net memory used: 107.318 MB
%------------------------------------------------------------------------------