%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET603+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 : n012.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 02:12:16 PM UTC 2026
% Result : Theorem 0.02s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET603+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 05:28:21 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.31 % Refutation found
% 0.02/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.31 fof(f2,axiom,(
% 0.02/0.31 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f3,axiom,(
% 0.02/0.31 (! [B] : ~ member(B,empty_set) )),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f4,axiom,(
% 0.02/0.31 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f6,axiom,(
% 0.02/0.31 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f9,conjecture,(
% 0.02/0.31 (! [B] : difference(B,empty_set) = B )),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f10,negated_conjecture,(
% 0.02/0.31 ~((! [B] : difference(B,empty_set) = B ))),
% 0.02/0.31 inference(negated_conjecture,[status(cth)],[f9])).
% 0.02/0.31 fof(f16,plain,(
% 0.02/0.31 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.02/0.31 inference(NNF_transformation,[status(thm)],[f2])).
% 0.02/0.31 fof(f17,plain,(
% 0.02/0.31 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.02/0.31 inference(miniscoping,[status(thm)],[f16])).
% 0.02/0.31 fof(f18,plain,(
% 0.02/0.31 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f17])).
% 0.02/0.31 fof(f20,plain,(
% 0.02/0.31 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f17])).
% 0.02/0.31 fof(f21,plain,(
% 0.02/0.31 ![X0]: (~member(X0,empty_set))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.31 fof(f22,plain,(
% 0.02/0.31 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.02/0.31 inference(NNF_transformation,[status(thm)],[f4])).
% 0.02/0.31 fof(f23,plain,(
% 0.02/0.31 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.02/0.31 inference(miniscoping,[status(thm)],[f22])).
% 0.02/0.31 fof(f26,plain,(
% 0.02/0.31 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f23])).
% 0.02/0.31 fof(f34,plain,(
% 0.02/0.31 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.02/0.31 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.02/0.31 fof(f35,plain,(
% 0.02/0.31 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.02/0.31 inference(NNF_transformation,[status(thm)],[f34])).
% 0.02/0.31 fof(f36,plain,(
% 0.02/0.31 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.02/0.31 inference(miniscoping,[status(thm)],[f35])).
% 0.02/0.31 fof(f37,plain,(
% 0.02/0.31 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK2_skl(C,B),B)&~member(sK2_skl(C,B),C))))),
% 0.02/0.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B))],[f36])).
% 0.02/0.31 fof(f39,plain,(
% 0.02/0.31 ![X0,X1]: (subset(X0,X1)|member(sK2_skl(X1,X0),X0))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f37])).
% 0.02/0.31 fof(f40,plain,(
% 0.02/0.31 ![X0,X1]: (subset(X0,X1)|~member(sK2_skl(X1,X0),X1))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f37])).
% 0.02/0.31 fof(f47,plain,(
% 0.02/0.31 (?[B]: ~difference(B,empty_set)=B)),
% 0.02/0.31 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.02/0.31 fof(f48,plain,(
% 0.02/0.31 ~difference(sK4_skl,empty_set)=sK4_skl),
% 0.02/0.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(B,sK4_skl)],[f47])).
% 0.02/0.31 fof(f49,plain,(
% 0.02/0.31 ~difference(sK4_skl,empty_set)=sK4_skl),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f48])).
% 0.02/0.31 fof(f84,plain,(
% 0.02/0.31 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sK2_skl(X2,difference(X0,X1)),X0))),
% 0.02/0.31 inference(resolution,[status(thm)],[f39,f18])).
% 0.02/0.31 fof(f86,plain,(
% 0.02/0.31 ![X0,X1,X2]: (subset(X0,X1)|member(sK2_skl(X1,X0),difference(X0,X2))|member(sK2_skl(X1,X0),X2))),
% 0.02/0.31 inference(resolution,[status(thm)],[f39,f20])).
% 0.02/0.31 fof(f319,plain,(
% 0.02/0.31 ![X0,X1]: (subset(difference(X0,X1),X0)|subset(difference(X0,X1),X0))),
% 0.02/0.31 inference(resolution,[status(thm)],[f40,f84])).
% 0.02/0.31 fof(f320,plain,(
% 0.02/0.31 ![X0,X1]: (subset(X0,difference(X0,X1))|subset(X0,difference(X0,X1))|member(sK2_skl(difference(X0,X1),X0),X1))),
% 0.02/0.31 inference(resolution,[status(thm)],[f40,f86])).
% 0.02/0.31 fof(f322,plain,(
% 0.02/0.31 ![X0,X1]: (subset(difference(X0,X1),X0))),
% 0.02/0.31 inference(duplicate_literals_removal,[status(thm)],[f319])).
% 0.02/0.31 fof(f323,plain,(
% 0.02/0.31 ![X0,X1]: (subset(X0,difference(X0,X1))|member(sK2_skl(difference(X0,X1),X0),X1))),
% 0.02/0.31 inference(duplicate_literals_removal,[status(thm)],[f320])).
% 0.02/0.31 fof(f326,plain,(
% 0.02/0.31 ![X0,X1]: (X0=difference(X0,X1)|~subset(X0,difference(X0,X1)))),
% 0.02/0.31 inference(resolution,[status(thm)],[f322,f26])).
% 0.02/0.31 fof(f368,plain,(
% 0.02/0.31 ![X0]: (subset(X0,difference(X0,empty_set)))),
% 0.02/0.31 inference(resolution,[status(thm)],[f323,f21])).
% 0.02/0.31 fof(f377,plain,(
% 0.02/0.31 ![X0]: (X0=difference(X0,empty_set))),
% 0.02/0.31 inference(resolution,[status(thm)],[f368,f326])).
% 0.02/0.31 fof(f383,plain,(
% 0.02/0.31 ~sK4_skl=sK4_skl),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f377,f49])).
% 0.02/0.31 fof(f386,plain,(
% 0.02/0.31 $false),
% 0.02/0.31 inference(trivial_equality_resolution,[status(thm)],[f383])).
% 0.02/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.32 % Elapsed time: 0.022419 seconds
% 0.02/0.32 % CPU time: 0.062166 seconds
% 0.02/0.32 % Total memory used: 18.616 MB
% 0.02/0.32 % Net memory used: 18.496 MB
%------------------------------------------------------------------------------