%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET630+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 : n006.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 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET630+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
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:30:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (! [B,C,D] :( intersect(B,union(C,D))<=> ( intersect(B,C)| intersect(B,D) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [B,C] : disjoint(intersection(B,C),difference(B,C)) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (! [B,C] :( disjoint(B,C)<=> ~ intersect(B,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,conjecture,(
% 0.12/0.39 (! [B,C] : disjoint(intersection(B,C),symmetric_difference(B,C)) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 ~((! [B,C] : disjoint(intersection(B,C),symmetric_difference(B,C)) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![B,C,D]: ((~intersect(B,union(C,D))|(intersect(B,C)|intersect(B,D)))&(intersect(B,union(C,D))|(~intersect(B,C)&~intersect(B,D))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f16,plain,(
% 0.12/0.39 (![B,C,D]: (~intersect(B,union(C,D))|(intersect(B,C)|intersect(B,D))))&(![B,C,D]: (intersect(B,union(C,D))|(~intersect(B,C)&~intersect(B,D))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~intersect(X0,union(X1,X2))|intersect(X0,X1)|intersect(X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f20,plain,(
% 0.12/0.39 ![X0,X1]: (disjoint(intersection(X0,X1),difference(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ![B,C]: ((~disjoint(B,C)|~intersect(B,C))&(disjoint(B,C)|intersect(B,C)))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 (![B,C]: (~disjoint(B,C)|~intersect(B,C)))&(![B,C]: (disjoint(B,C)|intersect(B,C)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f32])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ![X0,X1]: (~disjoint(X0,X1)|~intersect(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ![X0,X1]: (disjoint(X0,X1)|intersect(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 (?[B,C]: ~disjoint(intersection(B,C),symmetric_difference(B,C)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 ~disjoint(intersection(sK2_skl,sK3_skl),symmetric_difference(sK2_skl,sK3_skl))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f48])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 ~disjoint(intersection(sK2_skl,sK3_skl),symmetric_difference(sK2_skl,sK3_skl))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 intersect(intersection(sK2_skl,sK3_skl),symmetric_difference(sK2_skl,sK3_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f35,f50])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 ![X0,X1]: (~intersect(intersection(X0,X1),difference(X0,X1)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f20,f34])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~intersect(X0,symmetric_difference(X1,X2))|intersect(X0,difference(X1,X2))|intersect(X0,difference(X2,X1)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f14,f17])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 ![X0,X1]: (~intersect(intersection(X0,X1),difference(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f37,f69])).
% 0.12/0.39 fof(f268,plain,(
% 0.12/0.39 intersect(intersection(sK2_skl,sK3_skl),difference(sK2_skl,sK3_skl))|intersect(intersection(sK2_skl,sK3_skl),difference(sK3_skl,sK2_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f77,f51])).
% 0.12/0.39 fof(f272,plain,(
% 0.12/0.39 intersect(intersection(sK2_skl,sK3_skl),difference(sK2_skl,sK3_skl))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f268,f106])).
% 0.12/0.39 fof(f309,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f272,f69])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.061346 seconds
% 0.12/0.41 % CPU time: 0.219825 seconds
% 0.12/0.41 % Total memory used: 102.921 MB
% 0.12/0.41 % Net memory used: 102.449 MB
%------------------------------------------------------------------------------