%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET638+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 : n019.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 02:12:22 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 : SET638+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
% 0.08/0.55 % Computer : n019.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8046.5625MB
% 0.08/0.55 % OS : Linux 6.8.0-71-generic
% 0.08/0.55 % CPULimit : 300
% 0.08/0.55 % WCLimit : 300
% 0.08/0.55 % DateTime : Mon Sep 21 05:31:07 UTC 2026
% 0.08/0.55 % 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] : subset(intersection(B,C),B) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f2,axiom,(
% 0.13/0.59 (! [B,C] :( subset(B,C)=> intersection(B,C) = B ) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f3,axiom,(
% 0.13/0.59 (! [B] : union(B,empty_set) = B )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f4,axiom,(
% 0.13/0.59 (! [B,C,D] : intersection(B,union(C,D)) = union(intersection(B,C),intersection(B,D)) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f11,axiom,(
% 0.13/0.59 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f15,conjecture,(
% 0.13/0.59 (! [B,C,D] :( ( subset(B,union(C,D))& intersection(B,D) = empty_set )=> subset(B,C) ) )),
% 0.13/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f16,negated_conjecture,(
% 0.13/0.59 ~((! [B,C,D] :( ( subset(B,union(C,D))& intersection(B,D) = empty_set )=> subset(B,C) ) ))),
% 0.13/0.59 inference(negated_conjecture,[status(cth)],[f15])).
% 0.13/0.59 fof(f17,plain,(
% 0.13/0.59 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.59 fof(f18,plain,(
% 0.13/0.59 ![B,C]: (~subset(B,C)|intersection(B,C)=B)),
% 0.13/0.59 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.59 fof(f19,plain,(
% 0.13/0.59 ![X0,X1]: (~subset(X0,X1)|intersection(X0,X1)=X0)),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.59 fof(f20,plain,(
% 0.13/0.59 ![X0]: (union(X0,empty_set)=X0)),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.59 fof(f21,plain,(
% 0.13/0.59 ![X0,X1,X2]: (intersection(X0,union(X1,X2))=union(intersection(X0,X1),intersection(X0,X2)))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.59 fof(f46,plain,(
% 0.13/0.59 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.59 fof(f60,plain,(
% 0.13/0.59 (?[B,C,D]: ((subset(B,union(C,D))&intersection(B,D)=empty_set)&~subset(B,C)))),
% 0.13/0.59 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.13/0.59 fof(f61,plain,(
% 0.13/0.59 ?[B,C]: ((?[D]: (subset(B,union(C,D))&intersection(B,D)=empty_set))&~subset(B,C))),
% 0.13/0.59 inference(miniscoping,[status(thm)],[f60])).
% 0.13/0.59 fof(f62,plain,(
% 0.13/0.59 ((subset(sK3_skl,union(sK4_skl,sK5_skl))&intersection(sK3_skl,sK5_skl)=empty_set)&~subset(sK3_skl,sK4_skl))),
% 0.13/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl),skolemize(D,sK5_skl)],[f61])).
% 0.13/0.59 fof(f63,plain,(
% 0.13/0.59 subset(sK3_skl,union(sK4_skl,sK5_skl))),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.59 fof(f64,plain,(
% 0.13/0.59 intersection(sK3_skl,sK5_skl)=empty_set),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.59 fof(f65,plain,(
% 0.13/0.59 ~subset(sK3_skl,sK4_skl)),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.59 fof(f70,plain,(
% 0.13/0.59 intersection(sK3_skl,union(sK4_skl,sK5_skl))=sK3_skl),
% 0.13/0.59 inference(resolution,[status(thm)],[f19,f63])).
% 0.13/0.59 fof(f73,plain,(
% 0.13/0.59 ![X0]: (intersection(sK3_skl,union(X0,sK5_skl))=union(intersection(sK3_skl,X0),empty_set))),
% 0.13/0.59 inference(paramodulation,[status(thm)],[f64,f21])).
% 0.13/0.59 fof(f74,plain,(
% 0.13/0.59 intersection(sK3_skl,sK4_skl)=sK3_skl),
% 0.13/0.59 inference(backward_demodulation,[status(thm)],[f75,f70])).
% 0.13/0.59 fof(f75,plain,(
% 0.13/0.59 ![X0]: (intersection(sK3_skl,union(X0,sK5_skl))=intersection(sK3_skl,X0))),
% 0.13/0.59 inference(forward_demodulation,[status(thm)],[f20,f73])).
% 0.13/0.59 fof(f105,plain,(
% 0.13/0.59 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 0.13/0.59 inference(paramodulation,[status(thm)],[f46,f17])).
% 0.13/0.59 fof(f136,plain,(
% 0.13/0.59 subset(sK3_skl,sK4_skl)),
% 0.13/0.59 inference(paramodulation,[status(thm)],[f74,f105])).
% 0.13/0.59 fof(f141,plain,(
% 0.13/0.59 $false),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f136,f65])).
% 0.13/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.61 % Elapsed time: 0.050080 seconds
% 0.13/0.61 % CPU time: 0.153677 seconds
% 0.13/0.61 % Total memory used: 92.607 MB
% 0.13/0.61 % Net memory used: 92.316 MB
%------------------------------------------------------------------------------