%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET693+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 : 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 02:12:28 PM UTC 2026
% Result : Theorem 0.16s 5.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET693+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n001.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 05:38:33 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.16/5.46 % Refutation found
% 0.16/5.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.46 fof(f1,axiom,(
% 0.16/5.46 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.16/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f2,axiom,(
% 0.16/5.46 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.16/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f5,axiom,(
% 0.16/5.46 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 0.16/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f12,conjecture,(
% 0.16/5.46 (! [A,B] :( equal_set(A,union(A,B))<=> subset(B,A) ) )),
% 0.16/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f13,negated_conjecture,(
% 0.16/5.46 ~((! [A,B] :( equal_set(A,union(A,B))<=> subset(B,A) ) ))),
% 0.16/5.46 inference(negated_conjecture,[status(cth)],[f12])).
% 0.16/5.46 fof(f14,plain,(
% 0.16/5.46 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.16/5.46 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/5.46 fof(f15,plain,(
% 0.16/5.46 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.16/5.46 inference(NNF_transformation,[status(thm)],[f14])).
% 0.16/5.46 fof(f16,plain,(
% 0.16/5.46 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.16/5.46 inference(miniscoping,[status(thm)],[f15])).
% 0.16/5.46 fof(f17,plain,(
% 0.16/5.46 (![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))))),
% 0.16/5.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.16/5.46 fof(f18,plain,(
% 0.16/5.46 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/5.46 fof(f19,plain,(
% 0.16/5.46 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/5.46 fof(f20,plain,(
% 0.16/5.46 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/5.46 fof(f21,plain,(
% 0.16/5.46 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.16/5.46 inference(NNF_transformation,[status(thm)],[f2])).
% 0.16/5.46 fof(f22,plain,(
% 0.16/5.46 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.16/5.46 inference(miniscoping,[status(thm)],[f21])).
% 0.16/5.46 fof(f24,plain,(
% 0.16/5.46 ![X0,X1]: (~equal_set(X0,X1)|subset(X1,X0))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.46 fof(f25,plain,(
% 0.16/5.46 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.46 fof(f35,plain,(
% 0.16/5.46 ![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))))),
% 0.16/5.46 inference(NNF_transformation,[status(thm)],[f5])).
% 0.16/5.46 fof(f36,plain,(
% 0.16/5.46 (![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))))),
% 0.16/5.46 inference(miniscoping,[status(thm)],[f35])).
% 0.16/5.46 fof(f37,plain,(
% 0.16/5.46 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f36])).
% 0.16/5.46 fof(f38,plain,(
% 0.16/5.46 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f36])).
% 0.16/5.46 fof(f39,plain,(
% 0.16/5.46 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f36])).
% 0.16/5.46 fof(f68,plain,(
% 0.16/5.46 (?[A,B]: (equal_set(A,union(A,B))<~>subset(B,A)))),
% 0.16/5.46 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.16/5.46 fof(f69,plain,(
% 0.16/5.46 ?[A,B]: ((equal_set(A,union(A,B))|subset(B,A))&(~equal_set(A,union(A,B))|~subset(B,A)))),
% 0.16/5.46 inference(NNF_transformation,[status(thm)],[f68])).
% 0.16/5.46 fof(f70,plain,(
% 0.16/5.46 ((equal_set(sK3_skl,union(sK3_skl,sK4_skl))|subset(sK4_skl,sK3_skl))&(~equal_set(sK3_skl,union(sK3_skl,sK4_skl))|~subset(sK4_skl,sK3_skl)))),
% 0.16/5.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f69])).
% 0.16/5.46 fof(f71,plain,(
% 0.16/5.46 equal_set(sK3_skl,union(sK3_skl,sK4_skl))|subset(sK4_skl,sK3_skl)),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/5.46 fof(f72,plain,(
% 0.16/5.46 ~equal_set(sK3_skl,union(sK3_skl,sK4_skl))|~subset(sK4_skl,sK3_skl)),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/5.46 fof(f99,plain,(
% 0.16/5.46 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sK0_skl(X2,union(X0,X1)),X0)|member(sK0_skl(X2,union(X0,X1)),X1))),
% 0.16/5.46 inference(resolution,[status(thm)],[f19,f37])).
% 0.16/5.46 fof(f106,plain,(
% 0.16/5.46 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(sK0_skl(union(X1,X2),X0),X1))),
% 0.16/5.46 inference(resolution,[status(thm)],[f20,f38])).
% 0.16/5.46 fof(f107,plain,(
% 0.16/5.46 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(sK0_skl(X1,X0),X2))),
% 0.16/5.46 inference(resolution,[status(thm)],[f20,f18])).
% 0.16/5.46 fof(f126,plain,(
% 0.16/5.46 ![X0,X1,X2]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X2)|~equal_set(X1,X2))),
% 0.16/5.46 inference(resolution,[status(thm)],[f107,f24])).
% 0.16/5.46 fof(f136,plain,(
% 0.16/5.46 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),union(sK3_skl,sK4_skl))|subset(sK4_skl,sK3_skl))),
% 0.16/5.46 inference(resolution,[status(thm)],[f126,f71])).
% 0.16/5.46 fof(f284,plain,(
% 0.16/5.46 ![X0]: (subset(X0,sK3_skl)|subset(sK4_skl,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK4_skl))),
% 0.16/5.46 inference(resolution,[status(thm)],[f136,f39])).
% 0.16/5.46 fof(f292,plain,(
% 0.16/5.46 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK4_skl))),
% 0.16/5.46 inference(forward_subsumption_resolution,[status(thm)],[f284,f107])).
% 0.16/5.46 fof(f294,plain,(
% 0.16/5.46 ![X0]: (subset(union(X0,sK4_skl),sK3_skl)|subset(union(X0,sK4_skl),sK3_skl)|member(sK0_skl(sK3_skl,union(X0,sK4_skl)),X0))),
% 0.16/5.46 inference(resolution,[status(thm)],[f292,f99])).
% 0.16/5.46 fof(f297,plain,(
% 0.16/5.46 subset(sK4_skl,sK3_skl)|subset(sK4_skl,sK3_skl)),
% 0.16/5.46 inference(resolution,[status(thm)],[f292,f19])).
% 0.16/5.46 fof(f300,plain,(
% 0.16/5.46 ![X0]: (subset(union(X0,sK4_skl),sK3_skl)|member(sK0_skl(sK3_skl,union(X0,sK4_skl)),X0))),
% 0.16/5.46 inference(duplicate_literals_removal,[status(thm)],[f294])).
% 0.16/5.46 fof(f303,plain,(
% 0.16/5.46 ~equal_set(sK3_skl,union(sK3_skl,sK4_skl))),
% 0.16/5.46 inference(backward_subsumption_resolution,[status(thm)],[f72,f304])).
% 0.16/5.46 fof(f304,plain,(
% 0.16/5.46 subset(sK4_skl,sK3_skl)),
% 0.16/5.46 inference(duplicate_literals_removal,[status(thm)],[f297])).
% 0.16/5.46 fof(f364,plain,(
% 0.16/5.46 ![X0,X1]: (subset(X0,union(X0,X1))|subset(X0,union(X0,X1)))),
% 0.16/5.46 inference(resolution,[status(thm)],[f106,f19])).
% 0.16/5.46 fof(f375,plain,(
% 0.16/5.46 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.16/5.46 inference(duplicate_literals_removal,[status(thm)],[f364])).
% 0.16/5.46 fof(f488,plain,(
% 0.16/5.46 subset(union(sK3_skl,sK4_skl),sK3_skl)|subset(union(sK3_skl,sK4_skl),sK3_skl)),
% 0.16/5.46 inference(resolution,[status(thm)],[f300,f20])).
% 0.16/5.46 fof(f505,plain,(
% 0.16/5.46 subset(union(sK3_skl,sK4_skl),sK3_skl)),
% 0.16/5.46 inference(duplicate_literals_removal,[status(thm)],[f488])).
% 0.16/5.46 fof(f507,plain,(
% 0.16/5.46 equal_set(sK3_skl,union(sK3_skl,sK4_skl))|~subset(sK3_skl,union(sK3_skl,sK4_skl))),
% 0.16/5.46 inference(resolution,[status(thm)],[f505,f25])).
% 0.16/5.46 fof(f508,plain,(
% 0.16/5.46 ~subset(sK3_skl,union(sK3_skl,sK4_skl))),
% 0.16/5.46 inference(forward_subsumption_resolution,[status(thm)],[f507,f303])).
% 0.16/5.46 fof(f511,plain,(
% 0.16/5.46 $false),
% 0.16/5.46 inference(resolution,[status(thm)],[f508,f375])).
% 0.16/5.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.47 % Elapsed time: 0.090275 seconds
% 0.16/5.47 % CPU time: 0.485036 seconds
% 0.16/5.47 % Total memory used: 87.982 MB
% 0.16/5.47 % Net memory used: 87.057 MB
%------------------------------------------------------------------------------