%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM614+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 : n007.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 01:43:21 PM UTC 2026
% Result : Theorem 0.87s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM614+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
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:42:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.87/0.57 % Refutation found
% 0.87/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.87/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.87/0.57 fof(f57,definition,(
% 0.87/0.57 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 0.87/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.87/0.57 fof(f80,hypothesis,(
% 0.87/0.57 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 0.87/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.87/0.57 fof(f95,hypothesis,(
% 0.87/0.57 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.87/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.87/0.57 fof(f108,hypothesis,(
% 0.87/0.57 aSubsetOf0(xP,xO) ),
% 0.87/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.87/0.57 fof(f109,hypothesis,(
% 0.87/0.57 sbrdtbr0(xP) = xk ),
% 0.87/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.87/0.57 fof(f110,conjecture,(
% 0.87/0.57 aElementOf0(xP,slbdtsldtrb0(xO,xk)) ),
% 0.87/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.87/0.57 fof(f111,negated_conjecture,(
% 0.87/0.57 ~(aElementOf0(xP,slbdtsldtrb0(xO,xk)) )),
% 0.87/0.57 inference(negated_conjecture,[status(cth)],[f110])).
% 0.87/0.57 fof(f293,plain,(
% 0.87/0.57 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 0.87/0.57 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.87/0.57 fof(f294,plain,(
% 0.87/0.57 ![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)))))))))),
% 0.87/0.57 inference(NNF_transformation,[status(thm)],[f293])).
% 0.87/0.57 fof(f295,plain,(
% 0.87/0.57 ![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)))))))))),
% 0.87/0.57 inference(miniscoping,[status(thm)],[f294])).
% 0.87/0.57 fof(f296,plain,(
% 0.87/0.57 ![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))))))))),
% 0.87/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f295])).
% 0.87/0.57 fof(f300,plain,(
% 0.87/0.57 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 0.87/0.57 inference(cnf_transformation,[status(thm)],[f296])).
% 0.87/0.57 fof(f384,plain,(
% 0.87/0.57 aElementOf0(xk,szNzAzT0)),
% 0.87/0.57 inference(cnf_transformation,[status(thm)],[f80])).
% 0.87/0.57 fof(f432,plain,(
% 0.87/0.57 aSet0(xO)),
% 0.87/0.57 inference(cnf_transformation,[status(thm)],[f95])).
% 0.87/0.57 fof(f453,plain,(
% 0.87/0.57 aSubsetOf0(xP,xO)),
% 0.87/0.57 inference(cnf_transformation,[status(thm)],[f108])).
% 0.87/0.57 fof(f454,plain,(
% 0.87/0.57 sbrdtbr0(xP)=xk),
% 0.87/0.57 inference(cnf_transformation,[status(thm)],[f109])).
% 0.87/0.57 fof(f455,plain,(
% 0.87/0.57 ~aElementOf0(xP,slbdtsldtrb0(xO,xk))),
% 0.87/0.57 inference(cnf_transformation,[status(thm)],[f111])).
% 0.87/0.57 fof(f488,plain,(
% 0.87/0.57 ![X0,X1]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))|~aSubsetOf0(X1,X0))),
% 0.87/0.57 inference(destructive_equality_resolution,[status(thm)],[f300])).
% 0.87/0.57 fof(f1551,plain,(
% 0.87/0.57 ![X0]: (~aSet0(X0)|~aElementOf0(xk,szNzAzT0)|aElementOf0(xP,slbdtsldtrb0(X0,sbrdtbr0(xP)))|~aSubsetOf0(xP,X0))),
% 0.87/0.57 inference(paramodulation,[status(thm)],[f454,f488])).
% 0.87/0.57 fof(f1556,plain,(
% 0.87/0.57 ![X0]: (~aSet0(X0)|~aElementOf0(xk,szNzAzT0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0))),
% 0.87/0.57 inference(forward_demodulation,[status(thm)],[f454,f1551])).
% 0.87/0.57 fof(f1557,plain,(
% 0.87/0.57 ![X0]: (~aSet0(X0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0))),
% 0.87/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1556,f384])).
% 0.87/0.57 fof(f1625,plain,(
% 0.87/0.57 ~aSet0(xO)|~aSubsetOf0(xP,xO)),
% 0.87/0.57 inference(resolution,[status(thm)],[f1557,f455])).
% 0.87/0.57 fof(f1630,plain,(
% 0.87/0.57 ~aSubsetOf0(xP,xO)),
% 0.87/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1625,f432])).
% 0.87/0.57 fof(f1660,plain,(
% 0.87/0.57 $false),
% 0.87/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1630,f453])).
% 0.87/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.87/0.59 % Elapsed time: 0.213589 seconds
% 0.87/0.59 % CPU time: 1.353860 seconds
% 0.87/0.59 % Total memory used: 132.469 MB
% 0.87/0.59 % Net memory used: 130.622 MB
%------------------------------------------------------------------------------