%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET941+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:12:53 PM UTC 2026
% Result : Theorem 0.11s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET941+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:50:13 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.11/0.50 % Refutation found
% 0.11/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.50 fof(f2,axiom,(
% 0.11/0.50 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f3,axiom,(
% 0.11/0.50 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f7,conjecture,(
% 0.11/0.50 (! [A,B] :( (! [C] :( in(C,A)=> subset(C,B) ))=> subset(union(A),B) ) )),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f8,negated_conjecture,(
% 0.11/0.50 ~((! [A,B] :( (! [C] :( in(C,A)=> subset(C,B) ))=> subset(union(A),B) ) ))),
% 0.11/0.50 inference(negated_conjecture,[status(cth)],[f7])).
% 0.11/0.50 fof(f11,plain,(
% 0.11/0.50 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.11/0.50 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.50 fof(f12,plain,(
% 0.11/0.50 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.11/0.50 inference(NNF_transformation,[status(thm)],[f11])).
% 0.11/0.50 fof(f13,plain,(
% 0.11/0.50 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.11/0.50 inference(miniscoping,[status(thm)],[f12])).
% 0.11/0.50 fof(f14,plain,(
% 0.11/0.50 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 0.11/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f13])).
% 0.11/0.50 fof(f15,plain,(
% 0.11/0.50 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.50 fof(f16,plain,(
% 0.11/0.50 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.50 fof(f17,plain,(
% 0.11/0.50 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.50 fof(f18,plain,(
% 0.11/0.50 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 0.11/0.50 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.50 fof(f19,plain,(
% 0.11/0.50 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 0.11/0.50 inference(miniscoping,[status(thm)],[f18])).
% 0.11/0.50 fof(f20,plain,(
% 0.11/0.50 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sK1_skl(C,B,A))&in(sK1_skl(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sK2_skl(B,A),B)|(![D]: (~in(sK2_skl(B,A),D)|~in(D,A))))&(in(sK2_skl(B,A),B)|(in(sK2_skl(B,A),sK3_skl(B,A))&in(sK3_skl(B,A),A))))))),
% 0.11/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(D,sK1_skl(C,B,A)),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A))],[f19])).
% 0.11/0.50 fof(f21,plain,(
% 0.11/0.50 ![X0,X1,X2]: (~X0=union(X1)|~in(X2,X0)|in(X2,sK1_skl(X2,X0,X1)))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.50 fof(f22,plain,(
% 0.11/0.50 ![X0,X1,X2]: (~X0=union(X1)|~in(X2,X0)|in(sK1_skl(X2,X0,X1),X1))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.50 fof(f33,plain,(
% 0.11/0.50 (?[A,B]: ((![C]: (~in(C,A)|subset(C,B)))&~subset(union(A),B)))),
% 0.11/0.50 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.11/0.50 fof(f34,plain,(
% 0.11/0.50 ((![C]: (~in(C,sK6_skl)|subset(C,sK7_skl)))&~subset(union(sK6_skl),sK7_skl))),
% 0.11/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl)],[f33])).
% 0.11/0.50 fof(f35,plain,(
% 0.11/0.50 ![X0]: (~in(X0,sK6_skl)|subset(X0,sK7_skl))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.50 fof(f36,plain,(
% 0.11/0.50 ~subset(union(sK6_skl),sK7_skl)),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.50 fof(f61,plain,(
% 0.11/0.50 ![X0,X1,X2,X3]: (~X0=union(X1)|~in(X2,X0)|~subset(sK1_skl(X2,X0,X1),X3)|in(X2,X3))),
% 0.11/0.50 inference(resolution,[status(thm)],[f21,f15])).
% 0.11/0.50 fof(f65,plain,(
% 0.11/0.50 ![X0,X1,X2]: (~X0=union(X1)|in(sK1_skl(sK0_skl(X2,X0),X0,X1),X1)|subset(X0,X2))),
% 0.11/0.50 inference(resolution,[status(thm)],[f22,f16])).
% 0.11/0.50 fof(f83,plain,(
% 0.11/0.50 ![X0,X1]: (~X0=union(sK6_skl)|subset(X0,X1)|subset(sK1_skl(sK0_skl(X1,X0),X0,sK6_skl),sK7_skl))),
% 0.11/0.51 inference(resolution,[status(thm)],[f65,f35])).
% 0.11/0.51 fof(f151,plain,(
% 0.11/0.51 ![X0,X1]: (~X0=union(sK6_skl)|~in(sK0_skl(X1,X0),X0)|in(sK0_skl(X1,X0),sK7_skl)|~X0=union(sK6_skl)|subset(X0,X1))),
% 0.11/0.51 inference(resolution,[status(thm)],[f61,f83])).
% 0.11/0.51 fof(f154,plain,(
% 0.11/0.51 ![X0,X1]: (~X0=union(sK6_skl)|~in(sK0_skl(X1,X0),X0)|in(sK0_skl(X1,X0),sK7_skl)|subset(X0,X1))),
% 0.11/0.51 inference(duplicate_literals_removal,[status(thm)],[f151])).
% 0.11/0.51 fof(f155,plain,(
% 0.11/0.51 ![X0,X1]: (~X0=union(sK6_skl)|in(sK0_skl(X1,X0),sK7_skl)|subset(X0,X1))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f154,f16])).
% 0.11/0.51 fof(f156,plain,(
% 0.11/0.51 ![X0]: (~X0=union(sK6_skl)|subset(X0,sK7_skl)|subset(X0,sK7_skl))),
% 0.11/0.51 inference(resolution,[status(thm)],[f155,f17])).
% 0.11/0.51 fof(f162,plain,(
% 0.11/0.51 ![X0]: (~X0=union(sK6_skl)|subset(X0,sK7_skl))),
% 0.11/0.51 inference(duplicate_literals_removal,[status(thm)],[f156])).
% 0.11/0.51 fof(f164,plain,(
% 0.11/0.51 ~union(sK6_skl)=union(sK6_skl)),
% 0.11/0.51 inference(resolution,[status(thm)],[f162,f36])).
% 0.11/0.51 fof(f166,plain,(
% 0.11/0.51 $false),
% 0.11/0.51 inference(trivial_equality_resolution,[status(thm)],[f164])).
% 0.11/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.52 % Elapsed time: 0.173566 seconds
% 0.11/0.52 % CPU time: 1.096640 seconds
% 0.11/0.52 % Total memory used: 96.873 MB
% 0.11/0.52 % Net memory used: 92.824 MB
%------------------------------------------------------------------------------