%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM533+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 01:43:08 PM UTC 2026
% Result : Theorem 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n008.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 02:38:54 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.52 fof(f10,definition,(
% 0.19/0.52 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f14,hypothesis,(
% 0.19/0.52 ( aSet0(xA)& aSet0(xB)& aSet0(xC) ) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f15,conjecture,(
% 0.19/0.52 ( ( aSubsetOf0(xA,xB)& aSubsetOf0(xB,xC) )=> aSubsetOf0(xA,xC) ) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f16,negated_conjecture,(
% 0.19/0.52 ~(( ( aSubsetOf0(xA,xB)& aSubsetOf0(xB,xC) )=> aSubsetOf0(xA,xC) ) )),
% 0.19/0.52 inference(negated_conjecture,[status(cth)],[f15])).
% 0.19/0.52 fof(f41,plain,(
% 0.19/0.52 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.19/0.52 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.19/0.52 fof(f42,plain,(
% 0.19/0.52 ![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))))))))),
% 0.19/0.52 inference(NNF_transformation,[status(thm)],[f41])).
% 0.19/0.52 fof(f43,plain,(
% 0.19/0.52 ![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))))))))),
% 0.19/0.52 inference(miniscoping,[status(thm)],[f42])).
% 0.19/0.52 fof(f44,plain,(
% 0.19/0.52 ![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)))))))),
% 0.19/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f43])).
% 0.19/0.52 fof(f46,plain,(
% 0.19/0.52 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f44])).
% 0.19/0.52 fof(f47,plain,(
% 0.19/0.52 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sK1_skl(X1,X0),X1))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f44])).
% 0.19/0.52 fof(f48,plain,(
% 0.19/0.52 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sK1_skl(X1,X0),X0))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f44])).
% 0.19/0.52 fof(f55,plain,(
% 0.19/0.52 aSet0(xA)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.52 fof(f56,plain,(
% 0.19/0.52 aSet0(xB)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.52 fof(f57,plain,(
% 0.19/0.52 aSet0(xC)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.52 fof(f58,plain,(
% 0.19/0.52 ((aSubsetOf0(xA,xB)&aSubsetOf0(xB,xC))&~aSubsetOf0(xA,xC))),
% 0.19/0.52 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.19/0.52 fof(f59,plain,(
% 0.19/0.52 aSubsetOf0(xA,xB)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f58])).
% 0.19/0.52 fof(f60,plain,(
% 0.19/0.52 aSubsetOf0(xB,xC)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f58])).
% 0.19/0.52 fof(f61,plain,(
% 0.19/0.52 ~aSubsetOf0(xA,xC)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f58])).
% 0.19/0.52 fof(f82,plain,(
% 0.19/0.52 ![X0]: (~aSet0(xC)|~aElementOf0(X0,xB)|aElementOf0(X0,xC))),
% 0.19/0.52 inference(resolution,[status(thm)],[f46,f60])).
% 0.19/0.52 fof(f83,plain,(
% 0.19/0.52 ![X0]: (~aSet0(xB)|~aElementOf0(X0,xA)|aElementOf0(X0,xB))),
% 0.19/0.52 inference(resolution,[status(thm)],[f46,f59])).
% 0.19/0.52 fof(f84,plain,(
% 0.19/0.52 ![X0]: (~aElementOf0(X0,xB)|aElementOf0(X0,xC))),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f82,f57])).
% 0.19/0.52 fof(f85,plain,(
% 0.19/0.52 ![X0]: (~aElementOf0(X0,xA)|aElementOf0(X0,xB))),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f83,f56])).
% 0.19/0.52 fof(f87,plain,(
% 0.19/0.52 ![X0]: (aSubsetOf0(X0,xC)|~aSet0(X0)|aElementOf0(sK1_skl(X0,xC),X0))),
% 0.19/0.52 inference(resolution,[status(thm)],[f47,f57])).
% 0.19/0.52 fof(f126,plain,(
% 0.19/0.52 aSubsetOf0(xA,xC)|aElementOf0(sK1_skl(xA,xC),xA)),
% 0.19/0.52 inference(resolution,[status(thm)],[f87,f55])).
% 0.19/0.52 fof(f128,plain,(
% 0.19/0.52 aElementOf0(sK1_skl(xA,xC),xA)),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f126,f61])).
% 0.19/0.52 fof(f159,plain,(
% 0.19/0.52 aElementOf0(sK1_skl(xA,xC),xB)),
% 0.19/0.52 inference(resolution,[status(thm)],[f128,f85])).
% 0.19/0.52 fof(f178,plain,(
% 0.19/0.52 aElementOf0(sK1_skl(xA,xC),xC)),
% 0.19/0.52 inference(resolution,[status(thm)],[f159,f84])).
% 0.19/0.52 fof(f182,plain,(
% 0.19/0.52 ~aSet0(xC)|aSubsetOf0(xA,xC)|~aSet0(xA)),
% 0.19/0.52 inference(resolution,[status(thm)],[f178,f48])).
% 0.19/0.52 fof(f184,plain,(
% 0.19/0.52 aSubsetOf0(xA,xC)|~aSet0(xA)),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f182,f57])).
% 0.19/0.52 fof(f186,plain,(
% 0.19/0.52 ~aSet0(xA)),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f184,f61])).
% 0.19/0.52 fof(f187,plain,(
% 0.19/0.52 $false),
% 0.19/0.52 inference(backward_subsumption_resolution,[status(thm)],[f55,f186])).
% 0.19/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.58 % Elapsed time: 0.087749 seconds
% 0.19/0.58 % CPU time: 0.131583 seconds
% 0.19/0.58 % Total memory used: 12.726 MB
% 0.19/0.58 % Net memory used: 12.718 MB
%------------------------------------------------------------------------------