%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET574+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 : n020.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 02:12:12 PM UTC 2026
% Result : Theorem 0.23s 10.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET574+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/10.49 % Computer : n020.cluster.edu
% 0.17/10.49 % Model : x86_64 x86_64
% 0.17/10.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.49 % Memory : 8046.5625MB
% 0.17/10.49 % OS : Linux 6.8.0-71-generic
% 0.17/10.49 % CPULimit : 300
% 0.17/10.49 % WCLimit : 300
% 0.17/10.49 % DateTime : Mon Sep 21 05:27:28 UTC 2026
% 0.17/10.50 % CPUTime :
% 0.23/10.51 % Drodi V4.1.1
% 0.23/10.52 % Refutation found
% 0.23/10.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/10.52 % SZS output start CNFRefutation for theBenchmark
% 0.23/10.52 fof(f1,axiom,(
% 0.23/10.52 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.23/10.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/10.52 fof(f2,axiom,(
% 0.23/10.52 (! [B,C] :( intersect(B,C)=> intersect(C,B) ) )),
% 0.23/10.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/10.52 fof(f3,conjecture,(
% 0.23/10.52 (! [B,C,D] :( ( member(B,C)& member(B,D) )=> intersect(C,D) ) )),
% 0.23/10.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/10.52 fof(f4,negated_conjecture,(
% 0.23/10.52 ~((! [B,C,D] :( ( member(B,C)& member(B,D) )=> intersect(C,D) ) ))),
% 0.23/10.52 inference(negated_conjecture,[status(cth)],[f3])).
% 0.23/10.52 fof(f5,plain,(
% 0.23/10.52 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.23/10.52 inference(NNF_transformation,[status(thm)],[f1])).
% 0.23/10.52 fof(f6,plain,(
% 0.23/10.52 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.23/10.52 inference(miniscoping,[status(thm)],[f5])).
% 0.23/10.52 fof(f7,plain,(
% 0.23/10.52 (![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)))))),
% 0.23/10.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f6])).
% 0.23/10.52 fof(f10,plain,(
% 0.23/10.52 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.23/10.52 inference(cnf_transformation,[status(thm)],[f7])).
% 0.23/10.52 fof(f11,plain,(
% 0.23/10.52 ![B,C]: (~intersect(B,C)|intersect(C,B))),
% 0.23/10.52 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.23/10.52 fof(f12,plain,(
% 0.23/10.52 ![X0,X1]: (~intersect(X0,X1)|intersect(X1,X0))),
% 0.23/10.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.23/10.52 fof(f13,plain,(
% 0.23/10.52 (?[B,C,D]: ((member(B,C)&member(B,D))&~intersect(C,D)))),
% 0.23/10.52 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.23/10.52 fof(f14,plain,(
% 0.23/10.52 ?[C,D]: ((?[B]: (member(B,C)&member(B,D)))&~intersect(C,D))),
% 0.23/10.52 inference(miniscoping,[status(thm)],[f13])).
% 0.23/10.52 fof(f15,plain,(
% 0.23/10.52 ((member(sK3_skl,sK1_skl)&member(sK3_skl,sK2_skl))&~intersect(sK1_skl,sK2_skl))),
% 0.23/10.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(C,sK1_skl),skolemize(D,sK2_skl),skolemize(B,sK3_skl)],[f14])).
% 0.23/10.52 fof(f16,plain,(
% 0.23/10.52 member(sK3_skl,sK1_skl)),
% 0.23/10.52 inference(cnf_transformation,[status(thm)],[f15])).
% 0.23/10.52 fof(f17,plain,(
% 0.23/10.52 member(sK3_skl,sK2_skl)),
% 0.23/10.52 inference(cnf_transformation,[status(thm)],[f15])).
% 0.23/10.52 fof(f18,plain,(
% 0.23/10.52 ~intersect(sK1_skl,sK2_skl)),
% 0.23/10.52 inference(cnf_transformation,[status(thm)],[f15])).
% 0.23/10.52 fof(f20,plain,(
% 0.23/10.52 ![X0]: (intersect(sK2_skl,X0)|~member(sK3_skl,X0))),
% 0.23/10.52 inference(resolution,[status(thm)],[f10,f17])).
% 0.23/10.52 fof(f30,plain,(
% 0.23/10.52 intersect(sK2_skl,sK1_skl)),
% 0.23/10.52 inference(resolution,[status(thm)],[f20,f16])).
% 0.23/10.52 fof(f31,plain,(
% 0.23/10.52 intersect(sK1_skl,sK2_skl)),
% 0.23/10.52 inference(resolution,[status(thm)],[f30,f12])).
% 0.23/10.52 fof(f32,plain,(
% 0.23/10.52 $false),
% 0.23/10.52 inference(forward_subsumption_resolution,[status(thm)],[f31,f18])).
% 0.23/10.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/10.57 % Elapsed time: 0.069823 seconds
% 0.23/10.57 % CPU time: 0.093617 seconds
% 0.23/10.57 % Total memory used: 1.730 MB
% 0.23/10.57 % Net memory used: 1.726 MB
%------------------------------------------------------------------------------