%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET585+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 : n005.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 02:12:13 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET585+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
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:27:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (! [B,C,D] :( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (! [B,C] : subset(B,union(B,C)) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (! [B,C] : subset(intersection(B,C),B) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,conjecture,(
% 0.09/0.40 (! [B,C,D] : subset(intersection(B,C),union(B,D)) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,negated_conjecture,(
% 0.09/0.40 ~((! [B,C,D] : subset(intersection(B,C),union(B,D)) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f11])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![B,C,D]: ((~subset(B,C)|~subset(C,D))|subset(B,D))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 ![B,D]: ((![C]: (~subset(B,C)|~subset(C,D)))|subset(B,D))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 (?[B,C,D]: ~subset(intersection(B,C),union(B,D)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ~subset(intersection(sK2_skl,sK3_skl),union(sK2_skl,sK4_skl))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f45])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 ~subset(intersection(sK2_skl,sK3_skl),union(sK2_skl,sK4_skl))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f46])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 ![X0]: (~subset(intersection(sK2_skl,sK3_skl),X0)|~subset(X0,union(sK2_skl,sK4_skl)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f15,f47])).
% 0.09/0.40 fof(f69,plain,(
% 0.09/0.40 ~subset(sK2_skl,union(sK2_skl,sK4_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f17,f51])).
% 0.09/0.40 fof(f73,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f69,f16])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.050146 seconds
% 0.09/0.43 % CPU time: 0.147011 seconds
% 0.09/0.43 % Total memory used: 101.531 MB
% 0.09/0.43 % Net memory used: 101.135 MB
%------------------------------------------------------------------------------