%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET194+3 : 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 : n003.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 02:11:45 PM UTC 2026
% Result : Theorem 0.18s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET194+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n003.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Mon Sep 21 05:01:30 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.18/0.54 % Refutation found
% 0.18/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.54 fof(f1,axiom,(
% 0.18/0.54 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f2,axiom,(
% 0.18/0.54 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f3,axiom,(
% 0.18/0.54 (! [B,C] : union(B,C) = union(C,B) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f6,conjecture,(
% 0.18/0.54 (! [B,C] : subset(B,union(B,C)) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f7,negated_conjecture,(
% 0.18/0.54 ~((! [B,C] : subset(B,union(B,C)) ))),
% 0.18/0.54 inference(negated_conjecture,[status(cth)],[f6])).
% 0.18/0.54 fof(f8,plain,(
% 0.18/0.54 ![B,C,D]: ((~member(D,union(B,C))|(member(D,B)|member(D,C)))&(member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 0.18/0.54 inference(NNF_transformation,[status(thm)],[f1])).
% 0.18/0.54 fof(f9,plain,(
% 0.18/0.54 (![B,C,D]: (~member(D,union(B,C))|(member(D,B)|member(D,C))))&(![B,C,D]: (member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 0.18/0.54 inference(miniscoping,[status(thm)],[f8])).
% 0.18/0.54 fof(f12,plain,(
% 0.18/0.54 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.54 fof(f13,plain,(
% 0.18/0.54 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.18/0.54 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.18/0.54 fof(f14,plain,(
% 0.18/0.54 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.18/0.54 inference(NNF_transformation,[status(thm)],[f13])).
% 0.18/0.54 fof(f15,plain,(
% 0.18/0.54 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.18/0.54 inference(miniscoping,[status(thm)],[f14])).
% 0.18/0.54 fof(f16,plain,(
% 0.18/0.54 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK0_skl(C,B),B)&~member(sK0_skl(C,B),C))))),
% 0.18/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f15])).
% 0.18/0.54 fof(f18,plain,(
% 0.18/0.54 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.54 fof(f19,plain,(
% 0.18/0.54 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.54 fof(f20,plain,(
% 0.18/0.54 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.54 fof(f29,plain,(
% 0.18/0.54 (?[B,C]: ~subset(B,union(B,C)))),
% 0.18/0.54 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.18/0.54 fof(f30,plain,(
% 0.18/0.54 ~subset(sK2_skl,union(sK2_skl,sK3_skl))),
% 0.18/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f29])).
% 0.18/0.54 fof(f31,plain,(
% 0.18/0.54 ~subset(sK2_skl,union(sK2_skl,sK3_skl))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.18/0.54 fof(f40,plain,(
% 0.18/0.54 ![X0,X1,X2]: (subset(X0,X1)|member(sK0_skl(X1,X0),union(X2,X0)))),
% 0.18/0.54 inference(resolution,[status(thm)],[f18,f12])).
% 0.18/0.54 fof(f69,plain,(
% 0.18/0.54 ![X0,X1]: (subset(X0,union(X1,X0))|subset(X0,union(X1,X0)))),
% 0.18/0.54 inference(resolution,[status(thm)],[f40,f19])).
% 0.18/0.54 fof(f76,plain,(
% 0.18/0.54 ![X0,X1]: (subset(X0,union(X1,X0)))),
% 0.18/0.54 inference(duplicate_literals_removal,[status(thm)],[f69])).
% 0.18/0.54 fof(f77,plain,(
% 0.18/0.54 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.18/0.54 inference(paramodulation,[status(thm)],[f20,f76])).
% 0.18/0.54 fof(f80,plain,(
% 0.18/0.54 $false),
% 0.18/0.54 inference(backward_subsumption_resolution,[status(thm)],[f31,f77])).
% 0.18/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.57 % Elapsed time: 0.074450 seconds
% 0.23/0.57 % CPU time: 0.147344 seconds
% 0.23/0.57 % Total memory used: 35.232 MB
% 0.23/0.57 % Net memory used: 35.111 MB
%------------------------------------------------------------------------------