%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET625+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 : n014.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 02:12:20 PM UTC 2026
% Result : Theorem 0.08s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET625+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51 % Computer : n014.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Mon Sep 21 05:29:51 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.51 % Drodi V4.1.1
% 0.08/0.54 % Refutation found
% 0.08/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.54 fof(f1,axiom,(
% 0.08/0.54 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.08/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f2,axiom,(
% 0.08/0.54 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.08/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f5,conjecture,(
% 0.08/0.54 (! [B,C,D] :( ( intersect(B,C)& subset(C,D) )=> intersect(B,D) ) )),
% 0.08/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f6,negated_conjecture,(
% 0.08/0.54 ~((! [B,C,D] :( ( intersect(B,C)& subset(C,D) )=> intersect(B,D) ) ))),
% 0.08/0.54 inference(negated_conjecture,[status(cth)],[f5])).
% 0.08/0.54 fof(f7,plain,(
% 0.08/0.54 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.08/0.54 inference(NNF_transformation,[status(thm)],[f1])).
% 0.08/0.54 fof(f8,plain,(
% 0.08/0.54 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.08/0.54 inference(miniscoping,[status(thm)],[f7])).
% 0.08/0.54 fof(f9,plain,(
% 0.08/0.54 (![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)))))),
% 0.08/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f8])).
% 0.08/0.54 fof(f10,plain,(
% 0.08/0.54 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.54 fof(f11,plain,(
% 0.08/0.54 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X1))),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.54 fof(f12,plain,(
% 0.08/0.54 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.54 fof(f13,plain,(
% 0.08/0.54 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.08/0.54 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.54 fof(f14,plain,(
% 0.08/0.54 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.08/0.54 inference(NNF_transformation,[status(thm)],[f13])).
% 0.08/0.54 fof(f15,plain,(
% 0.08/0.54 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.08/0.54 inference(miniscoping,[status(thm)],[f14])).
% 0.08/0.54 fof(f16,plain,(
% 0.08/0.54 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK1_skl(C,B),B)&~member(sK1_skl(C,B),C))))),
% 0.08/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f15])).
% 0.08/0.54 fof(f17,plain,(
% 0.08/0.54 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.54 fof(f23,plain,(
% 0.08/0.54 (?[B,C,D]: ((intersect(B,C)&subset(C,D))&~intersect(B,D)))),
% 0.08/0.54 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.08/0.54 fof(f24,plain,(
% 0.08/0.54 ?[B,D]: ((?[C]: (intersect(B,C)&subset(C,D)))&~intersect(B,D))),
% 0.08/0.54 inference(miniscoping,[status(thm)],[f23])).
% 0.08/0.54 fof(f25,plain,(
% 0.08/0.54 ((intersect(sK2_skl,sK4_skl)&subset(sK4_skl,sK3_skl))&~intersect(sK2_skl,sK3_skl))),
% 0.08/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(D,sK3_skl),skolemize(C,sK4_skl)],[f24])).
% 0.08/0.54 fof(f26,plain,(
% 0.08/0.54 intersect(sK2_skl,sK4_skl)),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.54 fof(f27,plain,(
% 0.08/0.54 subset(sK4_skl,sK3_skl)),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.54 fof(f28,plain,(
% 0.08/0.54 ~intersect(sK2_skl,sK3_skl)),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.54 fof(f30,plain,(
% 0.08/0.54 ![X0]: (~member(X0,sK4_skl)|member(X0,sK3_skl))),
% 0.08/0.54 inference(resolution,[status(thm)],[f17,f27])).
% 0.08/0.54 fof(f34,plain,(
% 0.08/0.54 member(sK0_skl(sK4_skl,sK2_skl),sK2_skl)),
% 0.08/0.54 inference(resolution,[status(thm)],[f10,f26])).
% 0.08/0.54 fof(f37,plain,(
% 0.08/0.54 ![X0]: (intersect(sK2_skl,X0)|~member(sK0_skl(sK4_skl,sK2_skl),X0))),
% 0.08/0.54 inference(resolution,[status(thm)],[f34,f12])).
% 0.08/0.54 fof(f39,plain,(
% 0.08/0.54 member(sK0_skl(sK4_skl,sK2_skl),sK4_skl)),
% 0.08/0.54 inference(resolution,[status(thm)],[f11,f26])).
% 0.08/0.54 fof(f40,plain,(
% 0.08/0.54 member(sK0_skl(sK4_skl,sK2_skl),sK3_skl)),
% 0.08/0.54 inference(resolution,[status(thm)],[f39,f30])).
% 0.08/0.54 fof(f45,plain,(
% 0.08/0.54 intersect(sK2_skl,sK3_skl)),
% 0.08/0.54 inference(resolution,[status(thm)],[f40,f37])).
% 0.08/0.54 fof(f47,plain,(
% 0.08/0.54 $false),
% 0.08/0.54 inference(forward_subsumption_resolution,[status(thm)],[f45,f28])).
% 0.08/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.56 % Elapsed time: 0.045431 seconds
% 0.08/0.56 % CPU time: 0.101171 seconds
% 0.08/0.56 % Total memory used: 16.696 MB
% 0.08/0.56 % Net memory used: 16.236 MB
%------------------------------------------------------------------------------