%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET631+3 : 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 : n026.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 02:12:21 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET631+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:33:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,conjecture,(
% 0.11/0.40 (! [B,C,D] :( intersect(B,difference(C,D))=> intersect(B,C) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,negated_conjecture,(
% 0.11/0.40 ~((! [B,C,D] :( intersect(B,difference(C,D))=> intersect(B,C) ) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f4])).
% 0.11/0.40 fof(f6,plain,(
% 0.11/0.40 ![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))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f7,plain,(
% 0.11/0.40 (![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))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.40 fof(f8,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f11,plain,(
% 0.11/0.40 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f12,plain,(
% 0.11/0.40 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.11/0.40 fof(f13,plain,(
% 0.11/0.40 (![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)))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f12])).
% 0.11/0.40 fof(f14,plain,(
% 0.11/0.40 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f15,plain,(
% 0.11/0.40 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f16,plain,(
% 0.11/0.40 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f19,plain,(
% 0.11/0.40 (?[B,C,D]: (intersect(B,difference(C,D))&~intersect(B,C)))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f20,plain,(
% 0.11/0.40 ?[B,C]: ((?[D]: intersect(B,difference(C,D)))&~intersect(B,C))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f19])).
% 0.11/0.40 fof(f21,plain,(
% 0.11/0.40 (intersect(sK1_skl,difference(sK2_skl,sK3_skl))&~intersect(sK1_skl,sK2_skl))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f20])).
% 0.11/0.40 fof(f22,plain,(
% 0.11/0.40 intersect(sK1_skl,difference(sK2_skl,sK3_skl))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f23,plain,(
% 0.11/0.40 ~intersect(sK1_skl,sK2_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f27,plain,(
% 0.11/0.40 member(sK0_skl(difference(sK2_skl,sK3_skl),sK1_skl),sK1_skl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f14,f22])).
% 0.11/0.40 fof(f28,plain,(
% 0.11/0.40 ![X0]: (intersect(sK1_skl,X0)|~member(sK0_skl(difference(sK2_skl,sK3_skl),sK1_skl),X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f27,f16])).
% 0.11/0.40 fof(f30,plain,(
% 0.11/0.40 member(sK0_skl(difference(sK2_skl,sK3_skl),sK1_skl),difference(sK2_skl,sK3_skl))),
% 0.11/0.40 inference(resolution,[status(thm)],[f15,f22])).
% 0.11/0.40 fof(f36,plain,(
% 0.11/0.40 member(sK0_skl(difference(sK2_skl,sK3_skl),sK1_skl),sK2_skl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f30,f8])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 intersect(sK1_skl,sK2_skl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f36,f28])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f40,f23])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.044076 seconds
% 0.11/0.42 % CPU time: 0.109359 seconds
% 0.11/0.42 % Total memory used: 16.654 MB
% 0.11/0.42 % Net memory used: 16.191 MB
%------------------------------------------------------------------------------