%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET580+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 : n004.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 0.13s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET580+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
% 0.10/0.54 % Computer : n004.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 05:27:06 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.13/0.56 % Drodi V4.1.1
% 0.13/0.59 % Refutation found
% 0.13/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.59 fof(f1,axiom,(
% 0.13/0.59 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f2,axiom,(
% 0.13/0.59 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f3,axiom,(
% 0.13/0.59 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f5,axiom,(
% 0.13/0.59 (! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f7,conjecture,(
% 0.13/0.59 (! [B,C,D] :( member(B,symmetric_difference(C,D))<=> ~ ( member(B,C)<=> member(B,D) ) ) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f8,negated_conjecture,(
% 0.13/0.59 ~((! [B,C,D] :( member(B,symmetric_difference(C,D))<=> ~ ( member(B,C)<=> member(B,D) ) ) ))),
% 0.13/0.59 inference(negated_conjecture,[status(cth)],[f7])).
% 0.13/0.59 fof(f9,plain,(
% 0.13/0.59 ![B,C,D]: ((~member(D,union(B,C))|(member(D,B)|member(D,C)))&(member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 0.13/0.59 inference(NNF_transformation,[status(thm)],[f1])).
% 0.13/0.59 fof(f10,plain,(
% 0.13/0.59 (![B,C,D]: (~member(D,union(B,C))|(member(D,B)|member(D,C))))&(![B,C,D]: (member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 0.13/0.59 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.59 fof(f11,plain,(
% 0.13/0.59 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.59 fof(f12,plain,(
% 0.13/0.59 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.59 fof(f13,plain,(
% 0.13/0.59 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.59 fof(f14,plain,(
% 0.13/0.59 ![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))))),
% 0.13/0.59 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.59 fof(f15,plain,(
% 0.13/0.59 (![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))))),
% 0.13/0.59 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.59 fof(f16,plain,(
% 0.13/0.59 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.59 fof(f17,plain,(
% 0.13/0.59 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.59 fof(f18,plain,(
% 0.13/0.59 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.59 fof(f19,plain,(
% 0.13/0.59 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.59 fof(f21,plain,(
% 0.13/0.59 ![X0,X1]: (symmetric_difference(X0,X1)=symmetric_difference(X1,X0))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.59 fof(f29,plain,(
% 0.13/0.59 (?[B,C,D]: (member(B,symmetric_difference(C,D))<~>(member(B,C)<~>member(B,D))))),
% 0.13/0.59 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.59 fof(f30,plain,(
% 0.13/0.59 ?[B,C,D]: ((member(B,symmetric_difference(C,D))|((member(B,C)|member(B,D))&(~member(B,C)|~member(B,D))))&(~member(B,symmetric_difference(C,D))|((~member(B,C)|member(B,D))&(member(B,C)|~member(B,D)))))),
% 0.13/0.59 inference(NNF_transformation,[status(thm)],[f29])).
% 0.13/0.59 fof(f31,plain,(
% 0.13/0.59 ((member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|((member(sK1_skl,sK2_skl)|member(sK1_skl,sK3_skl))&(~member(sK1_skl,sK2_skl)|~member(sK1_skl,sK3_skl))))&(~member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|((~member(sK1_skl,sK2_skl)|member(sK1_skl,sK3_skl))&(member(sK1_skl,sK2_skl)|~member(sK1_skl,sK3_skl)))))),
% 0.13/0.59 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)],[f30])).
% 0.13/0.59 fof(f32,plain,(
% 0.13/0.59 member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|member(sK1_skl,sK2_skl)|member(sK1_skl,sK3_skl)),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.59 fof(f33,plain,(
% 0.13/0.62 member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|~member(sK1_skl,sK2_skl)|~member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.62 fof(f34,plain,(
% 0.13/0.62 ~member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|~member(sK1_skl,sK2_skl)|member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.62 fof(f35,plain,(
% 0.13/0.62 ~member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|member(sK1_skl,sK2_skl)|~member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.62 fof(f40,plain,(
% 0.13/0.62 member(sK1_skl,symmetric_difference(sK3_skl,sK2_skl))|~member(sK1_skl,sK2_skl)|~member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(paramodulation,[status(thm)],[f21,f33])).
% 0.13/0.62 fof(f54,plain,(
% 0.13/0.62 ![X0,X1,X2]: (member(X0,symmetric_difference(X1,X2))|~member(X0,difference(X2,X1)))),
% 0.13/0.62 inference(paramodulation,[status(thm)],[f19,f13])).
% 0.13/0.62 fof(f55,plain,(
% 0.13/0.62 ![X0,X1,X2]: (member(X0,symmetric_difference(X1,X2))|~member(X0,difference(X1,X2)))),
% 0.13/0.62 inference(paramodulation,[status(thm)],[f19,f12])).
% 0.13/0.62 fof(f60,plain,(
% 0.13/0.62 ![X0,X1,X2]: (~member(X0,symmetric_difference(X1,X2))|member(X0,difference(X1,X2))|member(X0,difference(X2,X1)))),
% 0.13/0.62 inference(paramodulation,[status(thm)],[f19,f11])).
% 0.13/0.62 fof(f74,plain,(
% 0.13/0.62 ![X0,X1,X2]: (member(X0,symmetric_difference(X1,X2))|~member(X0,X2)|member(X0,X1))),
% 0.13/0.62 inference(resolution,[status(thm)],[f54,f18])).
% 0.13/0.62 fof(f75,plain,(
% 0.13/0.62 member(sK1_skl,sK2_skl)|~member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(backward_subsumption_resolution,[status(thm)],[f35,f74])).
% 0.13/0.62 fof(f77,plain,(
% 0.13/0.62 member(sK1_skl,symmetric_difference(sK2_skl,sK3_skl))|member(sK1_skl,sK2_skl)),
% 0.13/0.62 inference(backward_subsumption_resolution,[status(thm)],[f32,f74])).
% 0.13/0.62 fof(f78,plain,(
% 0.13/0.62 member(sK1_skl,symmetric_difference(sK3_skl,sK2_skl))|~member(sK1_skl,sK2_skl)),
% 0.13/0.62 inference(backward_subsumption_resolution,[status(thm)],[f40,f74])).
% 0.13/0.62 fof(f80,plain,(
% 0.13/0.62 ![X0,X1,X2]: (member(X0,symmetric_difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.13/0.62 inference(resolution,[status(thm)],[f55,f18])).
% 0.13/0.62 fof(f81,plain,(
% 0.13/0.62 ~member(sK1_skl,sK2_skl)|member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(backward_subsumption_resolution,[status(thm)],[f34,f80])).
% 0.13/0.62 fof(f109,plain,(
% 0.13/0.62 member(sK1_skl,symmetric_difference(sK3_skl,sK2_skl))|member(sK1_skl,sK2_skl)),
% 0.13/0.62 inference(paramodulation,[status(thm)],[f21,f77])).
% 0.13/0.62 fof(f111,plain,(
% 0.13/0.62 member(sK1_skl,symmetric_difference(sK3_skl,sK2_skl))),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f109,f78])).
% 0.13/0.62 fof(f112,plain,(
% 0.13/0.62 member(sK1_skl,difference(sK3_skl,sK2_skl))|member(sK1_skl,difference(sK2_skl,sK3_skl))),
% 0.13/0.62 inference(resolution,[status(thm)],[f60,f111])).
% 0.13/0.62 fof(f130,plain,(
% 0.13/0.62 member(sK1_skl,difference(sK3_skl,sK2_skl))|~member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(resolution,[status(thm)],[f112,f17])).
% 0.13/0.62 fof(f131,plain,(
% 0.13/0.62 member(sK1_skl,difference(sK3_skl,sK2_skl))|member(sK1_skl,sK2_skl)),
% 0.13/0.62 inference(resolution,[status(thm)],[f112,f16])).
% 0.13/0.62 fof(f139,plain,(
% 0.13/0.62 member(sK1_skl,sK2_skl)|member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(resolution,[status(thm)],[f131,f16])).
% 0.13/0.62 fof(f140,plain,(
% 0.13/0.62 member(sK1_skl,difference(sK3_skl,sK2_skl))),
% 0.13/0.62 inference(backward_subsumption_resolution,[status(thm)],[f130,f142])).
% 0.13/0.62 fof(f141,plain,(
% 0.13/0.62 member(sK1_skl,sK2_skl)),
% 0.13/0.62 inference(backward_subsumption_resolution,[status(thm)],[f75,f142])).
% 0.13/0.62 fof(f142,plain,(
% 0.13/0.62 member(sK1_skl,sK3_skl)),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f139,f81])).
% 0.13/0.62 fof(f145,plain,(
% 0.13/0.62 ~member(sK1_skl,sK2_skl)),
% 0.13/0.62 inference(resolution,[status(thm)],[f140,f17])).
% 0.13/0.62 fof(f147,plain,(
% 0.13/0.62 $false),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f145,f141])).
% 0.13/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.62 % Elapsed time: 0.058873 seconds
% 0.13/0.62 % CPU time: 0.217935 seconds
% 0.13/0.62 % Total memory used: 103.106 MB
% 0.13/0.62 % Net memory used: 102.593 MB
%------------------------------------------------------------------------------