%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET593+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:12:15 PM UTC 2026
% Result : Theorem 68.18s 8.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET593+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 05:27:38 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 68.18/8.97 % Refutation found
% 68.18/8.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 68.18/8.97 % SZS output start CNFRefutation for theBenchmark
% 68.18/8.97 fof(f1,axiom,(
% 68.18/8.97 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 68.18/8.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 68.18/8.97 fof(f2,axiom,(
% 68.18/8.97 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 68.18/8.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 68.18/8.97 fof(f3,axiom,(
% 68.18/8.97 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 68.18/8.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 68.18/8.97 fof(f7,conjecture,(
% 68.18/8.97 (! [B,C,D] :( subset(B,union(C,D))=> ( subset(difference(B,C),D)& subset(difference(B,D),C) ) ) )),
% 68.18/8.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 68.18/8.97 fof(f8,negated_conjecture,(
% 68.18/8.97 ~((! [B,C,D] :( subset(B,union(C,D))=> ( subset(difference(B,C),D)& subset(difference(B,D),C) ) ) ))),
% 68.18/8.97 inference(negated_conjecture,[status(cth)],[f7])).
% 68.18/8.97 fof(f9,plain,(
% 68.18/8.97 ![B,C,D]: ((~member(D,union(B,C))|(member(D,B)|member(D,C)))&(member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 68.18/8.97 inference(NNF_transformation,[status(thm)],[f1])).
% 68.18/8.97 fof(f10,plain,(
% 68.18/8.97 (![B,C,D]: (~member(D,union(B,C))|(member(D,B)|member(D,C))))&(![B,C,D]: (member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 68.18/8.97 inference(miniscoping,[status(thm)],[f9])).
% 68.18/8.97 fof(f11,plain,(
% 68.18/8.97 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f10])).
% 68.18/8.97 fof(f14,plain,(
% 68.18/8.97 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 68.18/8.97 inference(NNF_transformation,[status(thm)],[f2])).
% 68.18/8.97 fof(f15,plain,(
% 68.18/8.97 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 68.18/8.97 inference(miniscoping,[status(thm)],[f14])).
% 68.18/8.97 fof(f16,plain,(
% 68.18/8.97 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f15])).
% 68.18/8.97 fof(f17,plain,(
% 68.18/8.97 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f15])).
% 68.18/8.97 fof(f19,plain,(
% 68.18/8.97 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 68.18/8.97 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 68.18/8.97 fof(f20,plain,(
% 68.18/8.97 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 68.18/8.97 inference(NNF_transformation,[status(thm)],[f19])).
% 68.18/8.97 fof(f21,plain,(
% 68.18/8.97 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 68.18/8.97 inference(miniscoping,[status(thm)],[f20])).
% 68.18/8.97 fof(f22,plain,(
% 68.18/8.97 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK0_skl(C,B),B)&~member(sK0_skl(C,B),C))))),
% 68.18/8.97 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f21])).
% 68.18/8.97 fof(f23,plain,(
% 68.18/8.97 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f22])).
% 68.18/8.97 fof(f24,plain,(
% 68.18/8.97 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f22])).
% 68.18/8.97 fof(f25,plain,(
% 68.18/8.97 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f22])).
% 68.18/8.97 fof(f35,plain,(
% 68.18/8.97 (?[B,C,D]: (subset(B,union(C,D))&(~subset(difference(B,C),D)|~subset(difference(B,D),C))))),
% 68.18/8.97 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 68.18/8.97 fof(f36,plain,(
% 68.18/8.97 (subset(sK2_skl,union(sK3_skl,sK4_skl))&(~subset(difference(sK2_skl,sK3_skl),sK4_skl)|~subset(difference(sK2_skl,sK4_skl),sK3_skl)))),
% 68.18/8.97 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f35])).
% 68.18/8.97 fof(f37,plain,(
% 68.18/8.97 subset(sK2_skl,union(sK3_skl,sK4_skl))),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f36])).
% 68.18/8.97 fof(f38,plain,(
% 68.18/8.97 ~subset(difference(sK2_skl,sK3_skl),sK4_skl)|~subset(difference(sK2_skl,sK4_skl),sK3_skl)),
% 68.18/8.97 inference(cnf_transformation,[status(thm)],[f36])).
% 68.18/8.97 fof(f43,plain,(
% 68.18/8.97 ![X0]: (~member(X0,sK2_skl)|member(X0,union(sK3_skl,sK4_skl)))),
% 4.39/9.06 inference(resolution,[status(thm)],[f23,f37])).
% 4.39/9.06 fof(f50,plain,(
% 4.39/9.06 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~member(sK0_skl(X2,difference(X0,X1)),X1))),
% 4.39/9.06 inference(resolution,[status(thm)],[f24,f17])).
% 4.39/9.06 fof(f51,plain,(
% 4.39/9.06 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sK0_skl(X2,difference(X0,X1)),X0))),
% 4.39/9.06 inference(resolution,[status(thm)],[f24,f16])).
% 4.39/9.06 fof(f214,plain,(
% 4.39/9.06 ![X0,X1]: (subset(difference(sK2_skl,X0),X1)|member(sK0_skl(X1,difference(sK2_skl,X0)),union(sK3_skl,sK4_skl)))),
% 4.39/9.06 inference(resolution,[status(thm)],[f51,f43])).
% 4.39/9.06 fof(f487,plain,(
% 4.39/9.06 ![X0,X1]: (subset(difference(sK2_skl,X0),X1)|member(sK0_skl(X1,difference(sK2_skl,X0)),sK3_skl)|member(sK0_skl(X1,difference(sK2_skl,X0)),sK4_skl))),
% 4.39/9.06 inference(resolution,[status(thm)],[f214,f11])).
% 4.39/9.06 fof(f40718,plain,(
% 4.39/9.06 ![X0]: (subset(difference(sK2_skl,sK4_skl),X0)|member(sK0_skl(X0,difference(sK2_skl,sK4_skl)),sK3_skl)|subset(difference(sK2_skl,sK4_skl),X0))),
% 4.39/9.06 inference(resolution,[status(thm)],[f487,f50])).
% 4.39/9.06 fof(f40719,plain,(
% 4.39/9.06 ![X0]: (subset(difference(sK2_skl,X0),sK4_skl)|member(sK0_skl(sK4_skl,difference(sK2_skl,X0)),sK3_skl)|subset(difference(sK2_skl,X0),sK4_skl))),
% 4.39/9.06 inference(resolution,[status(thm)],[f487,f25])).
% 4.39/9.06 fof(f40728,plain,(
% 4.39/9.06 ![X0]: (subset(difference(sK2_skl,sK4_skl),X0)|member(sK0_skl(X0,difference(sK2_skl,sK4_skl)),sK3_skl))),
% 4.39/9.06 inference(duplicate_literals_removal,[status(thm)],[f40718])).
% 4.39/9.06 fof(f40729,plain,(
% 4.39/9.06 ![X0]: (subset(difference(sK2_skl,X0),sK4_skl)|member(sK0_skl(sK4_skl,difference(sK2_skl,X0)),sK3_skl))),
% 4.39/9.06 inference(duplicate_literals_removal,[status(thm)],[f40719])).
% 4.39/9.06 fof(f61231,plain,(
% 4.39/9.06 subset(difference(sK2_skl,sK4_skl),sK3_skl)|subset(difference(sK2_skl,sK4_skl),sK3_skl)),
% 4.39/9.06 inference(resolution,[status(thm)],[f40728,f25])).
% 4.39/9.06 fof(f61236,plain,(
% 4.39/9.06 subset(difference(sK2_skl,sK4_skl),sK3_skl)),
% 4.39/9.06 inference(duplicate_literals_removal,[status(thm)],[f61231])).
% 4.39/9.06 fof(f61237,plain,(
% 4.39/9.06 subset(difference(sK2_skl,sK3_skl),sK4_skl)|subset(difference(sK2_skl,sK3_skl),sK4_skl)),
% 4.39/9.06 inference(resolution,[status(thm)],[f40729,f50])).
% 4.39/9.06 fof(f61248,plain,(
% 4.39/9.06 subset(difference(sK2_skl,sK3_skl),sK4_skl)),
% 4.39/9.06 inference(duplicate_literals_removal,[status(thm)],[f61237])).
% 4.39/9.06 fof(f67143,plain,(
% 4.39/9.06 ~subset(difference(sK2_skl,sK3_skl),sK4_skl)),
% 4.39/9.06 inference(backward_subsumption_resolution,[status(thm)],[f38,f61236])).
% 4.39/9.06 fof(f67146,plain,(
% 4.39/9.06 $false),
% 4.39/9.06 inference(forward_subsumption_resolution,[status(thm)],[f67143,f61248])).
% 4.39/9.06 % SZS output end CNFRefutation for theBenchmark.p
% 4.39/9.06 % Elapsed time: 8.758751 seconds
% 4.39/9.06 % CPU time: 69.444720 seconds
% 4.39/9.06 % Total memory used: 782.952 MB
% 4.39/9.06 % Net memory used: 721.900 MB
%------------------------------------------------------------------------------