%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET002+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 : n011.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 02:11:07 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET002+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
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:40:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (! [B,C] :( subset(B,C)=> union(B,C) = C ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,conjecture,(
% 0.13/0.40 (! [B] : union(B,B) = B )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,negated_conjecture,(
% 0.13/0.40 ~((! [B] : union(B,B) = B ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f8])).
% 0.13/0.40 fof(f10,plain,(
% 0.13/0.40 ![B,C]: (~subset(B,C)|union(B,C)=C)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f11,plain,(
% 0.13/0.40 ![X0,X1]: (~subset(X0,X1)|union(X0,X1)=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 (?[B]: ~union(B,B)=B)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 ~union(sK2_skl,sK2_skl)=sK2_skl),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(B,sK2_skl)],[f38])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ~union(sK2_skl,sK2_skl)=sK2_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 ![X0]: (subset(X0,X0))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f19])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 ![X0]: (union(X0,X0)=X0)),
% 0.13/0.40 inference(resolution,[status(thm)],[f41,f11])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ~sK2_skl=sK2_skl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f49,f40])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f50])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.054191 seconds
% 0.13/0.43 % CPU time: 0.147818 seconds
% 0.13/0.43 % Total memory used: 101.421 MB
% 0.13/0.43 % Net memory used: 100.946 MB
%------------------------------------------------------------------------------