%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET199+4 : TPTP v9.3.1. Released v2.2.0.
% 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 02:11:45 PM UTC 2026
% Result : Theorem 0.15s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET199+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.45 % Computer : n004.cluster.edu
% 0.15/0.45 % Model : x86_64 x86_64
% 0.15/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.45 % Memory : 8046.5625MB
% 0.15/0.45 % OS : Linux 6.8.0-71-generic
% 0.15/0.45 % CPULimit : 300
% 0.15/0.45 % WCLimit : 300
% 0.15/0.45 % DateTime : Mon Sep 21 05:00:04 UTC 2026
% 0.15/0.45 % CPUTime :
% 0.15/0.48 % Drodi V4.1.1
% 0.15/0.63 % Refutation found
% 0.15/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.63 fof(f1,axiom,(
% 0.15/0.63 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.15/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f4,axiom,(
% 0.15/0.63 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 0.15/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f12,conjecture,(
% 0.15/0.63 (! [A,X,Y] :( ( subset(A,X)& subset(A,Y) )<=> subset(A,intersection(X,Y)) ) )),
% 0.15/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f13,negated_conjecture,(
% 0.15/0.63 ~((! [A,X,Y] :( ( subset(A,X)& subset(A,Y) )<=> subset(A,intersection(X,Y)) ) ))),
% 0.15/0.63 inference(negated_conjecture,[status(cth)],[f12])).
% 0.15/0.63 fof(f14,plain,(
% 0.15/0.63 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.15/0.63 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/0.63 fof(f15,plain,(
% 0.15/0.63 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.15/0.63 inference(NNF_transformation,[status(thm)],[f14])).
% 0.15/0.63 fof(f16,plain,(
% 0.15/0.63 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.15/0.63 inference(miniscoping,[status(thm)],[f15])).
% 0.15/0.63 fof(f17,plain,(
% 0.15/0.63 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 0.15/0.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.15/0.63 fof(f18,plain,(
% 0.15/0.63 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.63 fof(f19,plain,(
% 0.15/0.63 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.63 fof(f20,plain,(
% 0.15/0.63 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.63 fof(f30,plain,(
% 0.15/0.63 ![X,A,B]: ((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&(member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 0.15/0.63 inference(NNF_transformation,[status(thm)],[f4])).
% 0.15/0.63 fof(f31,plain,(
% 0.15/0.63 (![X,A,B]: (~member(X,intersection(A,B))|(member(X,A)&member(X,B))))&(![X,A,B]: (member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 0.15/0.63 inference(miniscoping,[status(thm)],[f30])).
% 0.15/0.63 fof(f32,plain,(
% 0.15/0.63 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.63 fof(f33,plain,(
% 0.15/0.63 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.63 fof(f34,plain,(
% 0.15/0.63 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.63 fof(f68,plain,(
% 0.15/0.63 (?[A,X,Y]: ((subset(A,X)&subset(A,Y))<~>subset(A,intersection(X,Y))))),
% 0.15/0.63 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.15/0.63 fof(f69,plain,(
% 0.15/0.63 ?[A,X,Y]: (((subset(A,X)&subset(A,Y))|subset(A,intersection(X,Y)))&((~subset(A,X)|~subset(A,Y))|~subset(A,intersection(X,Y))))),
% 0.15/0.63 inference(NNF_transformation,[status(thm)],[f68])).
% 0.15/0.63 fof(f70,plain,(
% 0.15/0.63 (((subset(sK3_skl,sK4_skl)&subset(sK3_skl,sK5_skl))|subset(sK3_skl,intersection(sK4_skl,sK5_skl)))&((~subset(sK3_skl,sK4_skl)|~subset(sK3_skl,sK5_skl))|~subset(sK3_skl,intersection(sK4_skl,sK5_skl))))),
% 0.15/0.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(X,sK4_skl),skolemize(Y,sK5_skl)],[f69])).
% 0.15/0.63 fof(f71,plain,(
% 0.15/0.63 subset(sK3_skl,sK4_skl)|subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f70])).
% 0.15/0.63 fof(f72,plain,(
% 0.15/0.63 subset(sK3_skl,sK5_skl)|subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f70])).
% 0.15/0.63 fof(f73,plain,(
% 0.15/0.63 ~subset(sK3_skl,sK4_skl)|~subset(sK3_skl,sK5_skl)|~subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f70])).
% 0.15/0.63 fof(f82,plain,(
% 0.15/0.63 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sK0_skl(X1,X0),X2))),
% 0.15/0.63 inference(resolution,[status(thm)],[f19,f18])).
% 0.15/0.63 fof(f102,plain,(
% 0.15/0.63 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),intersection(sK4_skl,sK5_skl))|subset(sK3_skl,sK5_skl))),
% 0.15/0.65 inference(resolution,[status(thm)],[f82,f72])).
% 0.15/0.65 fof(f103,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),intersection(sK4_skl,sK5_skl))|subset(sK3_skl,sK4_skl))),
% 0.15/0.65 inference(resolution,[status(thm)],[f82,f71])).
% 0.15/0.65 fof(f106,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,X0)|subset(sK3_skl,sK5_skl)|member(sK0_skl(X0,sK3_skl),sK5_skl))),
% 0.15/0.65 inference(resolution,[status(thm)],[f102,f33])).
% 0.15/0.65 fof(f111,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),sK5_skl))),
% 0.15/0.65 inference(forward_subsumption_resolution,[status(thm)],[f106,f82])).
% 0.15/0.65 fof(f114,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,X0)|subset(sK3_skl,sK4_skl)|member(sK0_skl(X0,sK3_skl),sK4_skl))),
% 0.15/0.65 inference(resolution,[status(thm)],[f103,f32])).
% 0.15/0.65 fof(f118,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),sK4_skl))),
% 0.15/0.65 inference(forward_subsumption_resolution,[status(thm)],[f114,f82])).
% 0.15/0.65 fof(f119,plain,(
% 0.15/0.65 subset(sK3_skl,sK5_skl)|subset(sK3_skl,sK5_skl)),
% 0.15/0.65 inference(resolution,[status(thm)],[f111,f20])).
% 0.15/0.65 fof(f120,plain,(
% 0.15/0.65 ![X0,X1]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),intersection(X1,sK5_skl))|~member(sK0_skl(X0,sK3_skl),X1))),
% 0.15/0.65 inference(resolution,[status(thm)],[f111,f34])).
% 0.15/0.65 fof(f122,plain,(
% 0.15/0.65 ~subset(sK3_skl,sK4_skl)|~subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.65 inference(backward_subsumption_resolution,[status(thm)],[f73,f123])).
% 0.15/0.65 fof(f123,plain,(
% 0.15/0.65 subset(sK3_skl,sK5_skl)),
% 0.15/0.65 inference(duplicate_literals_removal,[status(thm)],[f119])).
% 0.15/0.65 fof(f125,plain,(
% 0.15/0.65 subset(sK3_skl,sK4_skl)|subset(sK3_skl,sK4_skl)),
% 0.15/0.65 inference(resolution,[status(thm)],[f118,f20])).
% 0.15/0.65 fof(f128,plain,(
% 0.15/0.65 ~subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.65 inference(backward_subsumption_resolution,[status(thm)],[f122,f129])).
% 0.15/0.65 fof(f129,plain,(
% 0.15/0.65 subset(sK3_skl,sK4_skl)),
% 0.15/0.65 inference(duplicate_literals_removal,[status(thm)],[f125])).
% 0.15/0.65 fof(f163,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,intersection(X0,sK5_skl))|~member(sK0_skl(intersection(X0,sK5_skl),sK3_skl),X0)|subset(sK3_skl,intersection(X0,sK5_skl)))),
% 0.15/0.65 inference(resolution,[status(thm)],[f120,f20])).
% 0.15/0.65 fof(f168,plain,(
% 0.15/0.65 ![X0]: (subset(sK3_skl,intersection(X0,sK5_skl))|~member(sK0_skl(intersection(X0,sK5_skl),sK3_skl),X0))),
% 0.15/0.65 inference(duplicate_literals_removal,[status(thm)],[f163])).
% 0.15/0.65 fof(f215,plain,(
% 0.15/0.65 subset(sK3_skl,intersection(sK4_skl,sK5_skl))|subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.65 inference(resolution,[status(thm)],[f168,f118])).
% 0.15/0.65 fof(f226,plain,(
% 0.15/0.65 subset(sK3_skl,intersection(sK4_skl,sK5_skl))),
% 0.15/0.65 inference(duplicate_literals_removal,[status(thm)],[f215])).
% 0.15/0.65 fof(f227,plain,(
% 0.15/0.65 $false),
% 0.15/0.65 inference(forward_subsumption_resolution,[status(thm)],[f226,f128])).
% 0.15/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.66 % Elapsed time: 0.193217 seconds
% 0.15/0.66 % CPU time: 1.000244 seconds
% 0.15/0.66 % Total memory used: 91.185 MB
% 0.15/0.66 % Net memory used: 89.698 MB
%------------------------------------------------------------------------------