%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM610+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 : n017.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 01:43:20 PM UTC 2026
% Result : Theorem 0.15s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM610+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 : n017.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 02:39:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.43 fof(f10,definition,(
% 0.15/0.43 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f14,axiom,(
% 0.15/0.43 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f95,hypothesis,(
% 0.15/0.43 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f100,hypothesis,(
% 0.15/0.43 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f107,hypothesis,(
% 0.15/0.43 aSubsetOf0(xP,xQ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f108,conjecture,(
% 0.15/0.43 aSubsetOf0(xP,xO) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f109,negated_conjecture,(
% 0.15/0.43 ~(aSubsetOf0(xP,xO) )),
% 0.15/0.43 inference(negated_conjecture,[status(cth)],[f108])).
% 0.15/0.43 fof(f134,plain,(
% 0.15/0.43 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.15/0.43 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.15/0.43 fof(f135,plain,(
% 0.15/0.43 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.15/0.43 inference(NNF_transformation,[status(thm)],[f134])).
% 0.15/0.43 fof(f136,plain,(
% 0.15/0.43 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.15/0.43 inference(miniscoping,[status(thm)],[f135])).
% 0.15/0.43 fof(f137,plain,(
% 0.15/0.43 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sK1_skl(W1,W0),W1)&~aElementOf0(sK1_skl(W1,W0),W0)))))))),
% 0.15/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f136])).
% 0.15/0.43 fof(f138,plain,(
% 0.15/0.43 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f137])).
% 0.15/0.43 fof(f148,plain,(
% 0.15/0.43 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 0.15/0.43 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.15/0.43 fof(f149,plain,(
% 0.15/0.43 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f148])).
% 0.15/0.43 fof(f430,plain,(
% 0.15/0.43 aSet0(xO)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f95])).
% 0.15/0.43 fof(f441,plain,(
% 0.15/0.43 aSubsetOf0(xQ,xO)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f100])).
% 0.15/0.43 fof(f450,plain,(
% 0.15/0.43 aSubsetOf0(xP,xQ)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f107])).
% 0.15/0.43 fof(f451,plain,(
% 0.15/0.43 ~aSubsetOf0(xP,xO)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f109])).
% 0.15/0.43 fof(f500,plain,(
% 0.15/0.43 ![X0]: (~aSubsetOf0(X0,xO)|aSet0(X0))),
% 0.15/0.43 inference(resolution,[status(thm)],[f430,f138])).
% 0.15/0.43 fof(f503,plain,(
% 0.15/0.43 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f149,f138])).
% 0.15/0.43 fof(f504,plain,(
% 0.15/0.43 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSubsetOf0(X0,xO)|aSubsetOf0(X1,xO))),
% 0.15/0.43 inference(resolution,[status(thm)],[f503,f430])).
% 0.15/0.43 fof(f530,plain,(
% 0.15/0.43 ![X0,X1]: (~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,xO)|aSubsetOf0(X0,xO))),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f504,f500])).
% 0.15/0.43 fof(f969,plain,(
% 0.15/0.43 ![X0]: (~aSubsetOf0(X0,xQ)|aSubsetOf0(X0,xO))),
% 0.15/0.43 inference(resolution,[status(thm)],[f441,f530])).
% 0.15/0.43 fof(f1170,plain,(
% 0.15/0.43 aSubsetOf0(xP,xO)),
% 0.15/0.43 inference(resolution,[status(thm)],[f969,f450])).
% 0.15/0.43 fof(f1172,plain,(
% 0.15/0.43 $false),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1170,f451])).
% 0.15/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.067810 seconds
% 0.15/0.44 % CPU time: 0.268865 seconds
% 0.15/0.44 % Total memory used: 78.607 MB
% 0.15/0.44 % Net memory used: 78.302 MB
%------------------------------------------------------------------------------