%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET589+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 : n026.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 02:12:14 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET589+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:30:23 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (! [B,C,D] :( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (! [B,C,D] :( subset(B,C)=> subset(difference(B,D),difference(C,D)) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (! [B,C,D] :( subset(B,C)=> subset(difference(D,C),difference(D,B)) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,conjecture,(
% 0.14/0.39 (! [B,C,D,E] :( ( subset(B,C)& subset(D,E) )=> subset(difference(B,E),difference(C,D)) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ~((! [B,C,D,E] :( ( subset(B,C)& subset(D,E) )=> subset(difference(B,E),difference(C,D)) ) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f7])).
% 0.14/0.39 fof(f9,plain,(
% 0.14/0.39 ![B,C,D]: ((~subset(B,C)|~subset(C,D))|subset(B,D))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 ![B,D]: ((![C]: (~subset(B,C)|~subset(C,D)))|subset(B,D))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 ![B,C,D]: (~subset(B,C)|subset(difference(B,D),difference(C,D)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 ![B,C]: (~subset(B,C)|(![D]: subset(difference(B,D),difference(C,D))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.39 fof(f14,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subset(X0,X1)|subset(difference(X0,X2),difference(X1,X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 ![B,C,D]: (~subset(B,C)|subset(difference(D,C),difference(D,B)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f16,plain,(
% 0.14/0.39 ![B,C]: (~subset(B,C)|(![D]: subset(difference(D,C),difference(D,B))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.39 fof(f17,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subset(X0,X1)|subset(difference(X2,X1),difference(X2,X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 (?[B,C,D,E]: ((subset(B,C)&subset(D,E))&~subset(difference(B,E),difference(C,D))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ((subset(sK1_skl,sK2_skl)&subset(sK3_skl,sK4_skl))&~subset(difference(sK1_skl,sK4_skl),difference(sK2_skl,sK3_skl)))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl)],[f31])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 subset(sK1_skl,sK2_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 subset(sK3_skl,sK4_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 ~subset(difference(sK1_skl,sK4_skl),difference(sK2_skl,sK3_skl))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 ![X0]: (~subset(difference(sK1_skl,sK4_skl),X0)|~subset(X0,difference(sK2_skl,sK3_skl)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f11,f35])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 ![X0]: (~subset(difference(sK1_skl,X0),difference(sK2_skl,sK3_skl))|~subset(X0,sK4_skl))),
% 0.14/0.39 inference(resolution,[status(thm)],[f36,f17])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 ~subset(sK3_skl,sK4_skl)|~subset(sK1_skl,sK2_skl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f37,f14])).
% 0.14/0.39 fof(f43,definition,(
% 0.14/0.39 sQ0_spl <=> (subset(sK3_skl,sK4_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 ~subset(sK3_skl,sK4_skl)|sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f43])).
% 0.14/0.39 fof(f46,definition,(
% 0.14/0.39 sQ1_spl <=> (subset(sK1_skl,sK2_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 ~subset(sK1_skl,sK2_skl)|sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f46])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f41,f43,f46])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 $false|sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f45,f34])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f50])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 $false|sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f48,f33])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f52])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f49,f51,f53])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.040785 seconds
% 0.14/0.41 % CPU time: 0.105280 seconds
% 0.14/0.41 % Total memory used: 15.222 MB
% 0.14/0.41 % Net memory used: 14.823 MB
%------------------------------------------------------------------------------