%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET596+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 : n008.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 02:12:15 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET596+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
% 0.11/0.36 % Computer : n008.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 05:28:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (! [B] :( subset(B,empty_set)=> B = empty_set ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (! [B,C,D] :( subset(B,C)=> subset(intersection(B,D),intersection(C,D)) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,conjecture,(
% 0.11/0.40 (! [B,C,D] :( ( subset(B,C)& intersection(C,D) = empty_set )=> intersection(B,D) = empty_set ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,negated_conjecture,(
% 0.11/0.40 ~((! [B,C,D] :( ( subset(B,C)& intersection(C,D) = empty_set )=> intersection(B,D) = empty_set ) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f11])).
% 0.11/0.40 fof(f13,plain,(
% 0.11/0.40 ![B]: (~subset(B,empty_set)|B=empty_set)),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f14,plain,(
% 0.11/0.40 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f15,plain,(
% 0.11/0.40 ![B,C,D]: (~subset(B,C)|subset(intersection(B,D),intersection(C,D)))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f16,plain,(
% 0.11/0.40 ![B,C]: (~subset(B,C)|(![D]: subset(intersection(B,D),intersection(C,D))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f15])).
% 0.11/0.40 fof(f17,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~subset(X0,X1)|subset(intersection(X0,X2),intersection(X1,X2)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 (?[B,C,D]: ((subset(B,C)&intersection(C,D)=empty_set)&~intersection(B,D)=empty_set))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f51,plain,(
% 0.11/0.40 ?[B,D]: ((?[C]: (subset(B,C)&intersection(C,D)=empty_set))&~intersection(B,D)=empty_set)),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f50])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 ((subset(sK3_skl,sK5_skl)&intersection(sK5_skl,sK4_skl)=empty_set)&~intersection(sK3_skl,sK4_skl)=empty_set)),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK3_skl),skolemize(D,sK4_skl),skolemize(C,sK5_skl)],[f51])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 subset(sK3_skl,sK5_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.11/0.40 fof(f54,plain,(
% 0.11/0.40 intersection(sK5_skl,sK4_skl)=empty_set),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 ~intersection(sK3_skl,sK4_skl)=empty_set),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.11/0.40 fof(f67,plain,(
% 0.11/0.40 ![X0]: (subset(intersection(sK3_skl,X0),intersection(sK5_skl,X0)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f17,f53])).
% 0.11/0.40 fof(f89,plain,(
% 0.11/0.40 subset(intersection(sK3_skl,sK4_skl),empty_set)),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f54,f67])).
% 0.11/0.40 fof(f92,plain,(
% 0.11/0.40 intersection(sK3_skl,sK4_skl)=empty_set),
% 0.11/0.40 inference(resolution,[status(thm)],[f89,f14])).
% 0.11/0.40 fof(f95,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f92,f55])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.050503 seconds
% 0.11/0.42 % CPU time: 0.150015 seconds
% 0.11/0.42 % Total memory used: 101.694 MB
% 0.11/0.42 % Net memory used: 101.310 MB
%------------------------------------------------------------------------------