%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET575+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 : n016.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 0.17s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET575+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 05:31:38 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.47 fof(f1,axiom,(
% 0.17/0.47 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f3,conjecture,(
% 0.17/0.47 (! [B,C] :( intersect(B,C)=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f4,negated_conjecture,(
% 0.17/0.47 ~((! [B,C] :( intersect(B,C)=> (? [D] :( member(D,B)& member(D,C) ) )) ))),
% 0.17/0.47 inference(negated_conjecture,[status(cth)],[f3])).
% 0.17/0.47 fof(f5,plain,(
% 0.17/0.47 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.17/0.47 inference(NNF_transformation,[status(thm)],[f1])).
% 0.17/0.47 fof(f6,plain,(
% 0.17/0.47 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.17/0.47 inference(miniscoping,[status(thm)],[f5])).
% 0.17/0.47 fof(f7,plain,(
% 0.17/0.47 (![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)))))),
% 0.17/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f6])).
% 0.17/0.47 fof(f8,plain,(
% 0.17/0.47 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.47 fof(f9,plain,(
% 0.17/0.47 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X1))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.47 fof(f13,plain,(
% 0.17/0.47 (?[B,C]: (intersect(B,C)&(![D]: (~member(D,B)|~member(D,C)))))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.17/0.47 fof(f14,plain,(
% 0.17/0.47 (intersect(sK1_skl,sK2_skl)&(![D]: (~member(D,sK1_skl)|~member(D,sK2_skl))))),
% 0.17/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f13])).
% 0.17/0.47 fof(f15,plain,(
% 0.17/0.47 intersect(sK1_skl,sK2_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.47 fof(f16,plain,(
% 0.17/0.47 ![X0]: (~member(X0,sK1_skl)|~member(X0,sK2_skl))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.47 fof(f17,plain,(
% 0.17/0.47 ![X0]: (~member(sK0_skl(sK2_skl,X0),sK1_skl)|~intersect(X0,sK2_skl))),
% 0.17/0.47 inference(resolution,[status(thm)],[f16,f9])).
% 0.17/0.47 fof(f19,plain,(
% 0.17/0.47 ~intersect(sK1_skl,sK2_skl)|~intersect(sK1_skl,sK2_skl)),
% 0.17/0.47 inference(resolution,[status(thm)],[f17,f8])).
% 0.17/0.47 fof(f20,definition,(
% 0.17/0.47 sQ0_spl <=> (intersect(sK1_skl,sK2_skl))),
% 0.17/0.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.47 fof(f22,plain,(
% 0.17/0.47 ~intersect(sK1_skl,sK2_skl)|sQ0_spl),
% 0.17/0.47 inference(component_clause,[status(thm)],[f20])).
% 0.17/0.47 fof(f23,plain,(
% 0.17/0.47 ~sQ0_spl),
% 0.17/0.47 inference(split_clause,[status(thm)],[f19,f20])).
% 0.17/0.47 fof(f24,plain,(
% 0.17/0.47 $false|sQ0_spl),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f22,f15])).
% 0.17/0.47 fof(f25,plain,(
% 0.17/0.47 sQ0_spl),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f24])).
% 0.17/0.47 fof(f26,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(sat_refutation,[status(thm)],[f23,f25])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.49 % Elapsed time: 0.055151 seconds
% 0.17/0.49 % CPU time: 0.148272 seconds
% 0.17/0.49 % Total memory used: 34.559 MB
% 0.17/0.49 % Net memory used: 34.252 MB
%------------------------------------------------------------------------------