%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET573+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 : n019.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 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET573+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 05:26:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f1,axiom,(
% 0.17/0.46 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f2,axiom,(
% 0.17/0.46 (! [B,C] :( disjoint(B,C)<=> ~ intersect(B,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f4,conjecture,(
% 0.17/0.46 (! [B,C,D] :( ( member(B,C)& disjoint(C,D) )=> ~ member(B,D) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f5,negated_conjecture,(
% 0.17/0.46 ~((! [B,C,D] :( ( member(B,C)& disjoint(C,D) )=> ~ member(B,D) ) ))),
% 0.17/0.46 inference(negated_conjecture,[status(cth)],[f4])).
% 0.17/0.46 fof(f6,plain,(
% 0.17/0.46 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.17/0.46 inference(NNF_transformation,[status(thm)],[f1])).
% 0.17/0.46 fof(f7,plain,(
% 0.17/0.46 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.17/0.47 inference(miniscoping,[status(thm)],[f6])).
% 0.17/0.47 fof(f8,plain,(
% 0.17/0.47 (![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)))))),
% 0.17/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f7])).
% 0.17/0.47 fof(f11,plain,(
% 0.17/0.47 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.47 fof(f12,plain,(
% 0.17/0.47 ![B,C]: ((~disjoint(B,C)|~intersect(B,C))&(disjoint(B,C)|intersect(B,C)))),
% 0.17/0.47 inference(NNF_transformation,[status(thm)],[f2])).
% 0.17/0.47 fof(f13,plain,(
% 0.17/0.47 (![B,C]: (~disjoint(B,C)|~intersect(B,C)))&(![B,C]: (disjoint(B,C)|intersect(B,C)))),
% 0.17/0.47 inference(miniscoping,[status(thm)],[f12])).
% 0.17/0.47 fof(f14,plain,(
% 0.17/0.47 ![X0,X1]: (~disjoint(X0,X1)|~intersect(X0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.47 fof(f18,plain,(
% 0.17/0.47 (?[B,C,D]: ((member(B,C)&disjoint(C,D))&member(B,D)))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.17/0.47 fof(f19,plain,(
% 0.17/0.47 ?[B,D]: ((?[C]: (member(B,C)&disjoint(C,D)))&member(B,D))),
% 0.17/0.47 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.47 fof(f20,plain,(
% 0.17/0.47 ((member(sK1_skl,sK3_skl)&disjoint(sK3_skl,sK2_skl))&member(sK1_skl,sK2_skl))),
% 0.17/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK1_skl),skolemize(D,sK2_skl),skolemize(C,sK3_skl)],[f19])).
% 0.17/0.47 fof(f21,plain,(
% 0.17/0.47 member(sK1_skl,sK3_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.47 fof(f22,plain,(
% 0.17/0.47 disjoint(sK3_skl,sK2_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.47 fof(f23,plain,(
% 0.17/0.47 member(sK1_skl,sK2_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.47 fof(f24,plain,(
% 0.17/0.47 ~intersect(sK3_skl,sK2_skl)),
% 0.17/0.47 inference(resolution,[status(thm)],[f14,f22])).
% 0.17/0.47 fof(f25,plain,(
% 0.17/0.47 ![X0]: (~member(X0,sK3_skl)|~member(X0,sK2_skl))),
% 0.17/0.47 inference(resolution,[status(thm)],[f24,f11])).
% 0.17/0.47 fof(f27,plain,(
% 0.17/0.47 ~member(sK1_skl,sK2_skl)),
% 0.17/0.47 inference(resolution,[status(thm)],[f25,f21])).
% 0.17/0.47 fof(f28,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f27,f23])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.49 % Elapsed time: 0.042337 seconds
% 0.17/0.49 % CPU time: 0.104754 seconds
% 0.17/0.49 % Total memory used: 9.336 MB
% 0.17/0.49 % Net memory used: 9.048 MB
%------------------------------------------------------------------------------