%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET014+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:11:11 PM UTC 2026
% Result : Theorem 0.18s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET014+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:41:35 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.56 % Refutation found
% 0.18/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.56 fof(f1,axiom,(
% 0.18/0.56 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f5,axiom,(
% 0.18/0.56 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f12,conjecture,(
% 0.18/0.56 (! [A,X,Y] :( ( subset(X,A)& subset(Y,A) )<=> subset(union(X,Y),A) ) )),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f13,negated_conjecture,(
% 0.18/0.56 ~((! [A,X,Y] :( ( subset(X,A)& subset(Y,A) )<=> subset(union(X,Y),A) ) ))),
% 0.18/0.56 inference(negated_conjecture,[status(cth)],[f12])).
% 0.18/0.56 fof(f14,plain,(
% 0.18/0.56 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.18/0.56 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.18/0.56 fof(f15,plain,(
% 0.18/0.56 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.18/0.56 inference(NNF_transformation,[status(thm)],[f14])).
% 0.18/0.56 fof(f16,plain,(
% 0.18/0.56 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.18/0.56 inference(miniscoping,[status(thm)],[f15])).
% 0.18/0.56 fof(f17,plain,(
% 0.18/0.56 (![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))))),
% 0.18/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.18/0.56 fof(f18,plain,(
% 0.18/0.56 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.56 fof(f19,plain,(
% 0.18/0.56 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.56 fof(f20,plain,(
% 0.18/0.56 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.56 fof(f35,plain,(
% 0.18/0.56 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 0.18/0.56 inference(NNF_transformation,[status(thm)],[f5])).
% 0.18/0.56 fof(f36,plain,(
% 0.18/0.56 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 0.18/0.56 inference(miniscoping,[status(thm)],[f35])).
% 0.18/0.56 fof(f37,plain,(
% 0.18/0.56 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f36])).
% 0.18/0.56 fof(f38,plain,(
% 0.18/0.56 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f36])).
% 0.18/0.56 fof(f39,plain,(
% 0.18/0.56 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f36])).
% 0.18/0.56 fof(f68,plain,(
% 0.18/0.56 (?[A,X,Y]: ((subset(X,A)&subset(Y,A))<~>subset(union(X,Y),A)))),
% 0.18/0.56 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.18/0.56 fof(f69,plain,(
% 0.18/0.56 ?[A,X,Y]: (((subset(X,A)&subset(Y,A))|subset(union(X,Y),A))&((~subset(X,A)|~subset(Y,A))|~subset(union(X,Y),A)))),
% 0.18/0.56 inference(NNF_transformation,[status(thm)],[f68])).
% 0.18/0.56 fof(f70,plain,(
% 0.18/0.56 (((subset(sK4_skl,sK3_skl)&subset(sK5_skl,sK3_skl))|subset(union(sK4_skl,sK5_skl),sK3_skl))&((~subset(sK4_skl,sK3_skl)|~subset(sK5_skl,sK3_skl))|~subset(union(sK4_skl,sK5_skl),sK3_skl)))),
% 0.18/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(X,sK4_skl),skolemize(Y,sK5_skl)],[f69])).
% 0.18/0.56 fof(f71,plain,(
% 0.18/0.56 subset(sK4_skl,sK3_skl)|subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f70])).
% 0.18/0.56 fof(f72,plain,(
% 0.18/0.56 subset(sK5_skl,sK3_skl)|subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f70])).
% 0.18/0.56 fof(f73,plain,(
% 0.18/0.56 ~subset(sK4_skl,sK3_skl)|~subset(sK5_skl,sK3_skl)|~subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f70])).
% 0.18/0.56 fof(f82,plain,(
% 0.18/0.56 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sK0_skl(X2,union(X0,X1)),X0)|member(sK0_skl(X2,union(X0,X1)),X1))),
% 0.18/0.56 inference(resolution,[status(thm)],[f19,f37])).
% 0.18/0.56 fof(f86,plain,(
% 0.18/0.56 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(sK0_skl(X1,X0),X2))),
% 0.18/0.56 inference(resolution,[status(thm)],[f20,f18])).
% 0.18/0.57 fof(f88,plain,(
% 0.18/0.57 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),union(sK4_skl,sK5_skl))|subset(sK5_skl,sK3_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f86,f72])).
% 0.18/0.57 fof(f89,plain,(
% 0.18/0.57 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),union(sK4_skl,sK5_skl))|subset(sK4_skl,sK3_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f86,f71])).
% 0.18/0.57 fof(f135,plain,(
% 0.18/0.57 ![X0]: (subset(X0,sK3_skl)|subset(sK5_skl,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK5_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f88,f39])).
% 0.18/0.57 fof(f143,plain,(
% 0.18/0.57 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK5_skl))),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f135,f86])).
% 0.18/0.57 fof(f150,plain,(
% 0.18/0.57 ![X0]: (subset(X0,sK3_skl)|subset(sK4_skl,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK4_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f89,f38])).
% 0.18/0.57 fof(f157,plain,(
% 0.18/0.57 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK4_skl))),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f150,f86])).
% 0.18/0.57 fof(f209,plain,(
% 0.18/0.57 ![X0]: (subset(union(X0,sK5_skl),sK3_skl)|subset(union(X0,sK5_skl),sK3_skl)|member(sK0_skl(sK3_skl,union(X0,sK5_skl)),X0))),
% 0.18/0.57 inference(resolution,[status(thm)],[f143,f82])).
% 0.18/0.57 fof(f212,plain,(
% 0.18/0.57 subset(sK5_skl,sK3_skl)|subset(sK5_skl,sK3_skl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f143,f19])).
% 0.18/0.57 fof(f215,plain,(
% 0.18/0.57 ![X0]: (subset(union(X0,sK5_skl),sK3_skl)|member(sK0_skl(sK3_skl,union(X0,sK5_skl)),X0))),
% 0.18/0.57 inference(duplicate_literals_removal,[status(thm)],[f209])).
% 0.18/0.57 fof(f218,plain,(
% 0.18/0.57 ~subset(sK4_skl,sK3_skl)|~subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.57 inference(backward_subsumption_resolution,[status(thm)],[f73,f219])).
% 0.18/0.57 fof(f219,plain,(
% 0.18/0.57 subset(sK5_skl,sK3_skl)),
% 0.18/0.57 inference(duplicate_literals_removal,[status(thm)],[f212])).
% 0.18/0.57 fof(f263,plain,(
% 0.18/0.57 subset(sK4_skl,sK3_skl)|subset(sK4_skl,sK3_skl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f157,f19])).
% 0.18/0.57 fof(f269,plain,(
% 0.18/0.57 ~subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.57 inference(backward_subsumption_resolution,[status(thm)],[f218,f270])).
% 0.18/0.57 fof(f270,plain,(
% 0.18/0.57 subset(sK4_skl,sK3_skl)),
% 0.18/0.57 inference(duplicate_literals_removal,[status(thm)],[f263])).
% 0.18/0.57 fof(f314,plain,(
% 0.18/0.57 subset(union(sK4_skl,sK5_skl),sK3_skl)|subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f215,f157])).
% 0.18/0.57 fof(f329,plain,(
% 0.18/0.57 subset(union(sK4_skl,sK5_skl),sK3_skl)),
% 0.18/0.57 inference(duplicate_literals_removal,[status(thm)],[f314])).
% 0.18/0.57 fof(f330,plain,(
% 0.18/0.57 $false),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f329,f269])).
% 0.18/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.59 % Elapsed time: 0.130231 seconds
% 0.18/0.59 % CPU time: 0.656131 seconds
% 0.18/0.59 % Total memory used: 87.679 MB
% 0.18/0.59 % Net memory used: 86.924 MB
%------------------------------------------------------------------------------