%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET027+4 : 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 : n017.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 02:11:16 PM UTC 2026
% Result : Theorem 0.18s 5.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET027+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n017.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 04:40:17 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.47 % Drodi V4.1.1
% 0.18/5.50 % Refutation found
% 0.18/5.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/5.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/5.50 fof(f1,axiom,(
% 0.18/5.50 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.18/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.50 fof(f12,conjecture,(
% 0.18/5.50 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.18/5.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.50 fof(f13,negated_conjecture,(
% 0.18/5.50 ~((! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) ))),
% 0.18/5.50 inference(negated_conjecture,[status(cth)],[f12])).
% 0.18/5.50 fof(f14,plain,(
% 0.18/5.50 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.18/5.50 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.18/5.50 fof(f15,plain,(
% 0.18/5.50 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.18/5.50 inference(NNF_transformation,[status(thm)],[f14])).
% 0.18/5.50 fof(f16,plain,(
% 0.18/5.50 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.18/5.50 inference(miniscoping,[status(thm)],[f15])).
% 0.18/5.50 fof(f17,plain,(
% 0.18/5.50 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 0.18/5.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.18/5.50 fof(f18,plain,(
% 0.18/5.50 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.18/5.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/5.50 fof(f19,plain,(
% 0.18/5.50 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.18/5.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/5.50 fof(f20,plain,(
% 0.18/5.50 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.18/5.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/5.50 fof(f68,plain,(
% 0.18/5.50 (?[A,B,C]: ((subset(A,B)&subset(B,C))&~subset(A,C)))),
% 0.18/5.50 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.18/5.50 fof(f69,plain,(
% 0.18/5.50 ?[A,C]: ((?[B]: (subset(A,B)&subset(B,C)))&~subset(A,C))),
% 0.18/5.50 inference(miniscoping,[status(thm)],[f68])).
% 0.18/5.50 fof(f70,plain,(
% 0.18/5.50 ((subset(sK3_skl,sK5_skl)&subset(sK5_skl,sK4_skl))&~subset(sK3_skl,sK4_skl))),
% 0.18/5.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(C,sK4_skl),skolemize(B,sK5_skl)],[f69])).
% 0.18/5.50 fof(f71,plain,(
% 0.18/5.50 subset(sK3_skl,sK5_skl)),
% 0.18/5.50 inference(cnf_transformation,[status(thm)],[f70])).
% 0.18/5.50 fof(f72,plain,(
% 0.18/5.50 subset(sK5_skl,sK4_skl)),
% 0.18/5.50 inference(cnf_transformation,[status(thm)],[f70])).
% 0.18/5.50 fof(f73,plain,(
% 0.18/5.50 ~subset(sK3_skl,sK4_skl)),
% 0.18/5.50 inference(cnf_transformation,[status(thm)],[f70])).
% 0.18/5.50 fof(f78,plain,(
% 0.18/5.50 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(sK0_skl(X1,X0),X2))),
% 0.18/5.50 inference(resolution,[status(thm)],[f20,f18])).
% 0.18/5.50 fof(f81,plain,(
% 0.18/5.50 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X2,X1)|~subset(X3,X2)|~member(sK0_skl(X1,X0),X3))),
% 0.18/5.50 inference(resolution,[status(thm)],[f78,f18])).
% 0.18/5.50 fof(f82,plain,(
% 0.18/5.50 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~subset(X0,X2)|subset(X0,X1))),
% 0.18/5.50 inference(resolution,[status(thm)],[f81,f19])).
% 0.18/5.50 fof(f84,plain,(
% 0.18/5.50 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~subset(X0,X2))),
% 0.18/5.50 inference(duplicate_literals_removal,[status(thm)],[f82])).
% 0.18/5.50 fof(f85,plain,(
% 0.18/5.50 ![X0]: (~subset(X0,sK4_skl)|~subset(sK3_skl,X0))),
% 0.18/5.50 inference(resolution,[status(thm)],[f84,f73])).
% 0.18/5.50 fof(f86,plain,(
% 0.18/5.50 ~subset(sK5_skl,sK4_skl)),
% 0.18/5.50 inference(resolution,[status(thm)],[f85,f71])).
% 0.18/5.50 fof(f88,plain,(
% 0.18/5.50 $false),
% 0.18/5.50 inference(forward_subsumption_resolution,[status(thm)],[f86,f72])).
% 0.18/5.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.56 % Elapsed time: 0.095425 seconds
% 0.23/5.56 % CPU time: 0.132898 seconds
% 0.23/5.56 % Total memory used: 12.899 MB
% 0.23/5.56 % Net memory used: 12.849 MB
%------------------------------------------------------------------------------