%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET592+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 : n018.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 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET592+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:30:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (! [B] :( subset(B,empty_set)=> B = empty_set ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (! [B,C,D] :( ( subset(B,C)& subset(B,D) )=> subset(B,intersection(C,D)) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f11,conjecture,(
% 0.08/0.38 (! [B,C,D] :( ( subset(B,C)& subset(B,D)& intersection(C,D) = empty_set )=> B = empty_set ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f12,negated_conjecture,(
% 0.08/0.38 ~((! [B,C,D] :( ( subset(B,C)& subset(B,D)& intersection(C,D) = empty_set )=> B = empty_set ) ))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f11])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 ![B]: (~subset(B,empty_set)|B=empty_set)),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.38 fof(f14,plain,(
% 0.08/0.38 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ![B,C,D]: ((~subset(B,C)|~subset(B,D))|subset(B,intersection(C,D)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X0,X2)|subset(X0,intersection(X1,X2)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.38 fof(f49,plain,(
% 0.08/0.38 (?[B,C,D]: (((subset(B,C)&subset(B,D))&intersection(C,D)=empty_set)&~B=empty_set))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.08/0.38 fof(f50,plain,(
% 0.08/0.38 ?[B]: ((?[C,D]: ((subset(B,C)&subset(B,D))&intersection(C,D)=empty_set))&~B=empty_set)),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f49])).
% 0.08/0.38 fof(f51,plain,(
% 0.08/0.38 (((subset(sK3_skl,sK4_skl)&subset(sK3_skl,sK5_skl))&intersection(sK4_skl,sK5_skl)=empty_set)&~sK3_skl=empty_set)),
% 0.08/0.38 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)],[f50])).
% 0.08/0.38 fof(f52,plain,(
% 0.08/0.38 subset(sK3_skl,sK4_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f53,plain,(
% 0.08/0.38 subset(sK3_skl,sK5_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f54,plain,(
% 0.08/0.38 intersection(sK4_skl,sK5_skl)=empty_set),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f55,plain,(
% 0.08/0.38 ~sK3_skl=empty_set),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f68,plain,(
% 0.08/0.38 ![X0]: (~subset(X0,sK4_skl)|~subset(X0,sK5_skl)|subset(X0,empty_set))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f54,f16])).
% 0.08/0.38 fof(f82,plain,(
% 0.08/0.38 ~subset(sK3_skl,sK4_skl)|subset(sK3_skl,empty_set)),
% 0.08/0.38 inference(resolution,[status(thm)],[f68,f53])).
% 0.08/0.38 fof(f84,plain,(
% 0.08/0.38 subset(sK3_skl,empty_set)),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f82,f52])).
% 0.08/0.38 fof(f85,plain,(
% 0.08/0.38 sK3_skl=empty_set),
% 0.08/0.38 inference(resolution,[status(thm)],[f84,f14])).
% 0.08/0.38 fof(f87,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f85,f55])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.41 % Elapsed time: 0.042994 seconds
% 0.08/0.41 % CPU time: 0.101246 seconds
% 0.08/0.41 % Total memory used: 22.573 MB
% 0.08/0.41 % Net memory used: 22.518 MB
%------------------------------------------------------------------------------