%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET692+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 : n016.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 1.85s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET692+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.40 % Computer : n016.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Mon Sep 21 05:37:23 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 1.85/0.72 % Refutation found
% 1.85/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.85/0.72 % SZS output start CNFRefutation for theBenchmark
% 1.85/0.72 fof(f1,axiom,(
% 1.85/0.72 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 1.85/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/0.72 fof(f2,axiom,(
% 1.85/0.72 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 1.85/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/0.72 fof(f4,axiom,(
% 1.85/0.72 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 1.85/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/0.72 fof(f12,conjecture,(
% 1.85/0.72 (! [A,B] :( equal_set(A,intersection(A,B))<=> subset(A,B) ) )),
% 1.85/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/0.72 fof(f13,negated_conjecture,(
% 1.85/0.72 ~((! [A,B] :( equal_set(A,intersection(A,B))<=> subset(A,B) ) ))),
% 1.85/0.72 inference(negated_conjecture,[status(cth)],[f12])).
% 1.85/0.72 fof(f14,plain,(
% 1.85/0.72 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 1.85/0.72 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 1.85/0.72 fof(f15,plain,(
% 1.85/0.72 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 1.85/0.72 inference(NNF_transformation,[status(thm)],[f14])).
% 1.85/0.72 fof(f16,plain,(
% 1.85/0.72 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 1.85/0.72 inference(miniscoping,[status(thm)],[f15])).
% 1.85/0.72 fof(f17,plain,(
% 1.85/0.72 (![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))))),
% 1.85/0.72 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 1.85/0.72 fof(f18,plain,(
% 1.85/0.72 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f17])).
% 1.85/0.72 fof(f19,plain,(
% 1.85/0.72 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f17])).
% 1.85/0.72 fof(f20,plain,(
% 1.85/0.72 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f17])).
% 1.85/0.72 fof(f21,plain,(
% 1.85/0.72 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 1.85/0.72 inference(NNF_transformation,[status(thm)],[f2])).
% 1.85/0.72 fof(f22,plain,(
% 1.85/0.72 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 1.85/0.72 inference(miniscoping,[status(thm)],[f21])).
% 1.85/0.72 fof(f23,plain,(
% 1.85/0.72 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f22])).
% 1.85/0.72 fof(f25,plain,(
% 1.85/0.72 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f22])).
% 1.85/0.72 fof(f30,plain,(
% 1.85/0.72 ![X,A,B]: ((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&(member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 1.85/0.72 inference(NNF_transformation,[status(thm)],[f4])).
% 1.85/0.72 fof(f31,plain,(
% 1.85/0.72 (![X,A,B]: (~member(X,intersection(A,B))|(member(X,A)&member(X,B))))&(![X,A,B]: (member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 1.85/0.72 inference(miniscoping,[status(thm)],[f30])).
% 1.85/0.72 fof(f32,plain,(
% 1.85/0.72 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f31])).
% 1.85/0.72 fof(f33,plain,(
% 1.85/0.72 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f31])).
% 1.85/0.72 fof(f34,plain,(
% 1.85/0.72 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f31])).
% 1.85/0.72 fof(f68,plain,(
% 1.85/0.72 (?[A,B]: (equal_set(A,intersection(A,B))<~>subset(A,B)))),
% 1.85/0.72 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 1.85/0.72 fof(f69,plain,(
% 1.85/0.72 ?[A,B]: ((equal_set(A,intersection(A,B))|subset(A,B))&(~equal_set(A,intersection(A,B))|~subset(A,B)))),
% 1.85/0.72 inference(NNF_transformation,[status(thm)],[f68])).
% 1.85/0.72 fof(f70,plain,(
% 1.85/0.72 ((equal_set(sK3_skl,intersection(sK3_skl,sK4_skl))|subset(sK3_skl,sK4_skl))&(~equal_set(sK3_skl,intersection(sK3_skl,sK4_skl))|~subset(sK3_skl,sK4_skl)))),
% 1.85/0.72 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f69])).
% 1.85/0.72 fof(f71,plain,(
% 1.85/0.72 equal_set(sK3_skl,intersection(sK3_skl,sK4_skl))|subset(sK3_skl,sK4_skl)),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f70])).
% 1.85/0.72 fof(f72,plain,(
% 1.85/0.72 ~equal_set(sK3_skl,intersection(sK3_skl,sK4_skl))|~subset(sK3_skl,sK4_skl)),
% 1.85/0.72 inference(cnf_transformation,[status(thm)],[f70])).
% 1.85/0.72 fof(f77,plain,(
% 1.85/0.72 subset(sK3_skl,intersection(sK3_skl,sK4_skl))|subset(sK3_skl,sK4_skl)),
% 1.85/0.72 inference(resolution,[status(thm)],[f23,f71])).
% 1.85/0.72 fof(f85,plain,(
% 1.85/0.72 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X0))),
% 1.85/0.72 inference(resolution,[status(thm)],[f19,f32])).
% 1.85/0.72 fof(f87,plain,(
% 1.85/0.72 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sK0_skl(X1,X0),X2))),
% 1.85/0.72 inference(resolution,[status(thm)],[f19,f18])).
% 1.85/0.72 fof(f89,plain,(
% 1.85/0.72 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),intersection(sK3_skl,sK4_skl))|subset(sK3_skl,sK4_skl))),
% 1.85/0.72 inference(resolution,[status(thm)],[f87,f77])).
% 1.85/0.72 fof(f105,plain,(
% 1.85/0.72 ![X0]: (subset(sK3_skl,X0)|subset(sK3_skl,sK4_skl)|member(sK0_skl(X0,sK3_skl),sK4_skl))),
% 1.85/0.72 inference(resolution,[status(thm)],[f89,f33])).
% 1.85/0.72 fof(f110,plain,(
% 1.85/0.72 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),sK4_skl))),
% 1.85/0.72 inference(forward_subsumption_resolution,[status(thm)],[f105,f87])).
% 1.85/0.72 fof(f112,plain,(
% 1.85/0.72 ![X0,X1]: (subset(intersection(X0,X1),X0)|subset(intersection(X0,X1),X0))),
% 1.85/0.72 inference(resolution,[status(thm)],[f20,f85])).
% 1.85/0.72 fof(f116,plain,(
% 1.85/0.72 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 1.85/0.72 inference(duplicate_literals_removal,[status(thm)],[f112])).
% 1.85/0.72 fof(f125,plain,(
% 1.85/0.72 ![X0,X1]: (equal_set(X0,intersection(X0,X1))|~subset(X0,intersection(X0,X1)))),
% 1.85/0.72 inference(resolution,[status(thm)],[f116,f25])).
% 1.85/0.72 fof(f128,plain,(
% 1.85/0.72 subset(sK3_skl,sK4_skl)|subset(sK3_skl,sK4_skl)),
% 1.85/0.72 inference(resolution,[status(thm)],[f110,f20])).
% 1.85/0.72 fof(f130,plain,(
% 1.85/0.72 ![X0,X1]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),intersection(X1,sK4_skl))|~member(sK0_skl(X0,sK3_skl),X1))),
% 1.85/0.72 inference(resolution,[status(thm)],[f110,f34])).
% 1.85/0.72 fof(f132,plain,(
% 1.85/0.72 ~equal_set(sK3_skl,intersection(sK3_skl,sK4_skl))),
% 1.85/0.72 inference(backward_subsumption_resolution,[status(thm)],[f72,f133])).
% 1.85/0.72 fof(f133,plain,(
% 1.85/0.72 subset(sK3_skl,sK4_skl)),
% 1.85/0.72 inference(duplicate_literals_removal,[status(thm)],[f128])).
% 1.85/0.72 fof(f188,plain,(
% 1.85/0.72 ![X0]: (subset(sK3_skl,intersection(X0,sK4_skl))|~member(sK0_skl(intersection(X0,sK4_skl),sK3_skl),X0)|subset(sK3_skl,intersection(X0,sK4_skl)))),
% 1.85/0.72 inference(resolution,[status(thm)],[f130,f20])).
% 1.85/0.72 fof(f194,plain,(
% 1.85/0.72 ![X0]: (subset(sK3_skl,intersection(X0,sK4_skl))|~member(sK0_skl(intersection(X0,sK4_skl),sK3_skl),X0))),
% 1.85/0.72 inference(duplicate_literals_removal,[status(thm)],[f188])).
% 1.85/0.72 fof(f378,plain,(
% 1.85/0.72 ~subset(sK3_skl,intersection(sK3_skl,sK4_skl))),
% 1.85/0.72 inference(resolution,[status(thm)],[f125,f132])).
% 1.85/0.72 fof(f600,plain,(
% 1.85/0.72 subset(sK3_skl,intersection(sK3_skl,sK4_skl))|subset(sK3_skl,intersection(sK3_skl,sK4_skl))),
% 1.85/0.72 inference(resolution,[status(thm)],[f194,f19])).
% 1.85/0.72 fof(f619,plain,(
% 1.85/0.72 subset(sK3_skl,intersection(sK3_skl,sK4_skl))),
% 1.85/0.72 inference(duplicate_literals_removal,[status(thm)],[f600])).
% 1.85/0.72 fof(f620,plain,(
% 1.85/0.72 $false),
% 1.85/0.72 inference(forward_subsumption_resolution,[status(thm)],[f619,f378])).
% 1.85/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 1.85/0.75 % Elapsed time: 0.331981 seconds
% 1.85/0.75 % CPU time: 2.280194 seconds
% 1.85/0.75 % Total memory used: 110.405 MB
% 1.85/0.75 % Net memory used: 105.582 MB
%------------------------------------------------------------------------------