%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET576+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 : n005.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 02:12:12 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET576+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:26:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (! [B,C] :( disjoint(B,C)<=> ~ intersect(B,C) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,conjecture,(
% 0.08/0.38 (! [B,C] :( (! [D] :( member(D,B)=> ~ member(D,C) ))=> disjoint(B,C) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,negated_conjecture,(
% 0.08/0.38 ~((! [B,C] :( (! [D] :( member(D,B)=> ~ member(D,C) ))=> disjoint(B,C) ) ))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f4])).
% 0.08/0.38 fof(f6,plain,(
% 0.08/0.38 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f1])).
% 0.08/0.38 fof(f7,plain,(
% 0.08/0.38 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.08/0.38 fof(f8,plain,(
% 0.08/0.38 (![B,C]: (~intersect(B,C)|(member(sK0_skl(C,B),B)&member(sK0_skl(C,B),C))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f7])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.38 fof(f12,plain,(
% 0.08/0.38 ![B,C]: ((~disjoint(B,C)|~intersect(B,C))&(disjoint(B,C)|intersect(B,C)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 (![B,C]: (~disjoint(B,C)|~intersect(B,C)))&(![B,C]: (disjoint(B,C)|intersect(B,C)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f12])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ![X0,X1]: (disjoint(X0,X1)|intersect(X0,X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.38 fof(f18,plain,(
% 0.08/0.38 (?[B,C]: ((![D]: (~member(D,B)|~member(D,C)))&~disjoint(B,C)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/0.38 fof(f19,plain,(
% 0.08/0.38 ((![D]: (~member(D,sK1_skl)|~member(D,sK2_skl)))&~disjoint(sK1_skl,sK2_skl))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f18])).
% 0.08/0.38 fof(f20,plain,(
% 0.08/0.38 ![X0]: (~member(X0,sK1_skl)|~member(X0,sK2_skl))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.38 fof(f21,plain,(
% 0.08/0.38 ~disjoint(sK1_skl,sK2_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.38 fof(f22,plain,(
% 0.08/0.38 intersect(sK1_skl,sK2_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f15,f21])).
% 0.08/0.38 fof(f24,plain,(
% 0.08/0.38 member(sK0_skl(sK2_skl,sK1_skl),sK1_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f9,f22])).
% 0.08/0.38 fof(f37,plain,(
% 0.08/0.38 member(sK0_skl(sK2_skl,sK1_skl),sK2_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f10,f22])).
% 0.08/0.38 fof(f40,plain,(
% 0.08/0.38 ~member(sK0_skl(sK2_skl,sK1_skl),sK1_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f37,f20])).
% 0.08/0.38 fof(f45,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f40,f24])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.033732 seconds
% 0.12/0.39 % CPU time: 0.075849 seconds
% 0.12/0.39 % Total memory used: 10.383 MB
% 0.12/0.39 % Net memory used: 10.094 MB
%------------------------------------------------------------------------------