%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET581+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 : n002.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 02:12:13 PM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET581+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 05:30:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,axiom,(
% 0.10/0.37 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,axiom,(
% 0.10/0.37 (! [B] : ~ member(B,empty_set) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f4,axiom,(
% 0.10/0.37 (! [B,C] :( not_equal(B,C)<=> B != C ) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f7,conjecture,(
% 0.10/0.37 (! [B,C,D] :( ( member(B,C)& member(B,D) )=> not_equal(intersection(C,D),empty_set) ) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f8,negated_conjecture,(
% 0.10/0.37 ~((! [B,C,D] :( ( member(B,C)& member(B,D) )=> not_equal(intersection(C,D),empty_set) ) ))),
% 0.10/0.37 inference(negated_conjecture,[status(cth)],[f7])).
% 0.10/0.37 fof(f9,plain,(
% 0.10/0.37 ![B,C,D]: ((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&(member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.10/0.37 inference(NNF_transformation,[status(thm)],[f1])).
% 0.10/0.37 fof(f10,plain,(
% 0.10/0.37 (![B,C,D]: (~member(D,intersection(B,C))|(member(D,B)&member(D,C))))&(![B,C,D]: (member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f9])).
% 0.10/0.37 fof(f13,plain,(
% 0.10/0.37 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.37 fof(f14,plain,(
% 0.10/0.37 ![X0]: (~member(X0,empty_set))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f22,plain,(
% 0.10/0.37 ![B,C]: ((~not_equal(B,C)|~B=C)&(not_equal(B,C)|B=C))),
% 0.10/0.37 inference(NNF_transformation,[status(thm)],[f4])).
% 0.10/0.37 fof(f23,plain,(
% 0.10/0.37 (![B,C]: (~not_equal(B,C)|~B=C))&(![B,C]: (not_equal(B,C)|B=C))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f22])).
% 0.10/0.37 fof(f25,plain,(
% 0.10/0.37 ![X0,X1]: (not_equal(X0,X1)|X0=X1)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.37 fof(f32,plain,(
% 0.10/0.37 (?[B,C,D]: ((member(B,C)&member(B,D))&~not_equal(intersection(C,D),empty_set)))),
% 0.10/0.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.37 fof(f33,plain,(
% 0.10/0.37 ?[C,D]: ((?[B]: (member(B,C)&member(B,D)))&~not_equal(intersection(C,D),empty_set))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f32])).
% 0.10/0.37 fof(f34,plain,(
% 0.10/0.37 ((member(sK4_skl,sK2_skl)&member(sK4_skl,sK3_skl))&~not_equal(intersection(sK2_skl,sK3_skl),empty_set))),
% 0.10/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(B,sK4_skl)],[f33])).
% 0.10/0.37 fof(f35,plain,(
% 0.10/0.37 member(sK4_skl,sK2_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.37 fof(f36,plain,(
% 0.10/0.37 member(sK4_skl,sK3_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.37 fof(f37,plain,(
% 0.10/0.37 ~not_equal(intersection(sK2_skl,sK3_skl),empty_set)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.37 fof(f39,plain,(
% 0.10/0.37 intersection(sK2_skl,sK3_skl)=empty_set),
% 0.10/0.37 inference(resolution,[status(thm)],[f25,f37])).
% 0.10/0.37 fof(f62,plain,(
% 0.10/0.37 ![X0]: (member(sK4_skl,intersection(X0,sK3_skl))|~member(sK4_skl,X0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f13,f36])).
% 0.10/0.37 fof(f72,plain,(
% 0.10/0.37 member(sK4_skl,intersection(sK2_skl,sK3_skl))),
% 0.10/0.37 inference(resolution,[status(thm)],[f62,f35])).
% 0.10/0.37 fof(f73,plain,(
% 0.10/0.37 member(sK4_skl,empty_set)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f39,f72])).
% 0.10/0.37 fof(f74,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f73,f14])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.051380 seconds
% 0.13/0.41 % CPU time: 0.071832 seconds
% 0.13/0.41 % Total memory used: 9.546 MB
% 0.13/0.41 % Net memory used: 9.525 MB
%------------------------------------------------------------------------------