%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM532+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 : n004.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 01:43:08 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM532+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n004.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 02:38:04 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f10,definition,(
% 0.19/0.49 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f12,hypothesis,(
% 0.19/0.49 aSet0(xA) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f13,conjecture,(
% 0.19/0.49 aSubsetOf0(xA,xA) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f14,negated_conjecture,(
% 0.19/0.49 ~(aSubsetOf0(xA,xA) )),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f13])).
% 0.19/0.49 fof(f39,plain,(
% 0.19/0.49 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.19/0.49 fof(f40,plain,(
% 0.19/0.49 ![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))))))))),
% 0.19/0.49 inference(NNF_transformation,[status(thm)],[f39])).
% 0.19/0.49 fof(f41,plain,(
% 0.19/0.49 ![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))))))))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f40])).
% 0.19/0.49 fof(f42,plain,(
% 0.19/0.49 ![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)))))))),
% 0.19/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f41])).
% 0.19/0.49 fof(f45,plain,(
% 0.19/0.49 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sK1_skl(X1,X0),X1))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f42])).
% 0.19/0.49 fof(f46,plain,(
% 0.19/0.49 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sK1_skl(X1,X0),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f42])).
% 0.19/0.49 fof(f49,plain,(
% 0.19/0.49 aSet0(xA)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.49 fof(f50,plain,(
% 0.19/0.49 ~aSubsetOf0(xA,xA)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.49 fof(f61,plain,(
% 0.19/0.49 ![X0]: (aSubsetOf0(X0,xA)|~aSet0(X0)|aElementOf0(sK1_skl(X0,xA),X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f45,f49])).
% 0.19/0.49 fof(f66,plain,(
% 0.19/0.49 aSubsetOf0(xA,xA)|aElementOf0(sK1_skl(xA,xA),xA)),
% 0.19/0.49 inference(resolution,[status(thm)],[f61,f49])).
% 0.19/0.49 fof(f68,plain,(
% 0.19/0.49 aElementOf0(sK1_skl(xA,xA),xA)),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f66,f50])).
% 0.19/0.49 fof(f69,plain,(
% 0.19/0.49 ~aSet0(xA)|aSubsetOf0(xA,xA)|~aSet0(xA)),
% 0.19/0.49 inference(resolution,[status(thm)],[f68,f46])).
% 0.19/0.49 fof(f71,plain,(
% 0.19/0.49 ~aSet0(xA)|aSubsetOf0(xA,xA)),
% 0.19/0.49 inference(duplicate_literals_removal,[status(thm)],[f69])).
% 0.19/0.49 fof(f72,plain,(
% 0.19/0.49 aSubsetOf0(xA,xA)),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f71,f49])).
% 0.19/0.49 fof(f74,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f72,f50])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.52 % Elapsed time: 0.060611 seconds
% 0.26/0.52 % CPU time: 0.083221 seconds
% 0.26/0.52 % Total memory used: 5.025 MB
% 0.26/0.52 % Net memory used: 5.024 MB
%------------------------------------------------------------------------------