%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET688+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 : n015.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 0.10s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET688+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
% 0.10/0.76 % Computer : n015.cluster.edu
% 0.10/0.76 % Model : x86_64 x86_64
% 0.10/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.76 % Memory : 8046.5625MB
% 0.10/0.76 % OS : Linux 6.8.0-71-generic
% 0.10/0.76 % CPULimit : 300
% 0.10/0.76 % WCLimit : 300
% 0.10/0.76 % DateTime : Mon Sep 21 05:35:51 UTC 2026
% 0.10/0.76 % CPUTime :
% 0.10/0.77 % Drodi V4.1.1
% 0.10/0.80 % Refutation found
% 0.10/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.80 fof(f1,axiom,(
% 0.10/0.80 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.10/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.80 fof(f2,axiom,(
% 0.10/0.80 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.10/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.80 fof(f12,conjecture,(
% 0.10/0.80 (! [A,B,C] :( ( subset(A,B)& ~ equal_set(A,B)& subset(B,C)& ~ equal_set(B,C) )=> ~ equal_set(A,C) ) )),
% 0.10/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.80 fof(f13,negated_conjecture,(
% 0.10/0.80 ~((! [A,B,C] :( ( subset(A,B)& ~ equal_set(A,B)& subset(B,C)& ~ equal_set(B,C) )=> ~ equal_set(A,C) ) ))),
% 0.10/0.80 inference(negated_conjecture,[status(cth)],[f12])).
% 0.10/0.80 fof(f14,plain,(
% 0.10/0.80 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.10/0.80 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.80 fof(f15,plain,(
% 0.10/0.80 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.10/0.80 inference(NNF_transformation,[status(thm)],[f14])).
% 0.10/0.80 fof(f16,plain,(
% 0.10/0.80 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.10/0.80 inference(miniscoping,[status(thm)],[f15])).
% 0.10/0.80 fof(f17,plain,(
% 0.10/0.80 (![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))))),
% 0.10/0.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.10/0.80 fof(f18,plain,(
% 0.10/0.80 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.80 fof(f19,plain,(
% 0.10/0.80 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.80 fof(f20,plain,(
% 0.10/0.80 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.80 fof(f21,plain,(
% 0.10/0.80 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.10/0.80 inference(NNF_transformation,[status(thm)],[f2])).
% 0.10/0.80 fof(f22,plain,(
% 0.10/0.80 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.10/0.80 inference(miniscoping,[status(thm)],[f21])).
% 0.10/0.80 fof(f24,plain,(
% 0.10/0.80 ![X0,X1]: (~equal_set(X0,X1)|subset(X1,X0))),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.80 fof(f25,plain,(
% 0.10/0.80 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.80 fof(f68,plain,(
% 0.10/0.80 (?[A,B,C]: ((((subset(A,B)&~equal_set(A,B))&subset(B,C))&~equal_set(B,C))&equal_set(A,C)))),
% 0.10/0.80 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.10/0.80 fof(f69,plain,(
% 0.10/0.80 ?[A,C]: ((?[B]: (((subset(A,B)&~equal_set(A,B))&subset(B,C))&~equal_set(B,C)))&equal_set(A,C))),
% 0.10/0.80 inference(miniscoping,[status(thm)],[f68])).
% 0.10/0.80 fof(f70,plain,(
% 0.10/0.80 ((((subset(sK3_skl,sK5_skl)&~equal_set(sK3_skl,sK5_skl))&subset(sK5_skl,sK4_skl))&~equal_set(sK5_skl,sK4_skl))&equal_set(sK3_skl,sK4_skl))),
% 0.10/0.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(C,sK4_skl),skolemize(B,sK5_skl)],[f69])).
% 0.10/0.80 fof(f71,plain,(
% 0.10/0.80 subset(sK3_skl,sK5_skl)),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.80 fof(f73,plain,(
% 0.10/0.80 subset(sK5_skl,sK4_skl)),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.80 fof(f74,plain,(
% 0.10/0.80 ~equal_set(sK5_skl,sK4_skl)),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.80 fof(f75,plain,(
% 0.10/0.80 equal_set(sK3_skl,sK4_skl)),
% 0.10/0.80 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.80 fof(f80,plain,(
% 0.10/0.80 ![X0]: (~member(X0,sK3_skl)|member(X0,sK5_skl))),
% 0.10/0.80 inference(resolution,[status(thm)],[f18,f71])).
% 0.10/0.80 fof(f83,plain,(
% 0.10/0.80 subset(sK4_skl,sK3_skl)),
% 0.10/0.80 inference(resolution,[status(thm)],[f24,f75])).
% 0.10/0.80 fof(f84,plain,(
% 0.10/0.80 ![X0]: (~member(X0,sK4_skl)|member(X0,sK3_skl))),
% 0.10/0.80 inference(resolution,[status(thm)],[f83,f18])).
% 0.10/0.80 fof(f104,plain,(
% 0.10/0.80 ![X0]: (subset(sK4_skl,X0)|member(sK0_skl(X0,sK4_skl),sK3_skl))),
% 0.10/0.80 inference(resolution,[status(thm)],[f19,f84])).
% 0.10/0.80 fof(f119,plain,(
% 0.10/0.80 ![X0]: (subset(sK4_skl,X0)|member(sK0_skl(X0,sK4_skl),sK5_skl))),
% 0.15/0.80 inference(resolution,[status(thm)],[f104,f80])).
% 0.15/0.80 fof(f130,plain,(
% 0.15/0.80 subset(sK4_skl,sK5_skl)|subset(sK4_skl,sK5_skl)),
% 0.15/0.80 inference(resolution,[status(thm)],[f119,f20])).
% 0.15/0.80 fof(f132,plain,(
% 0.15/0.80 subset(sK4_skl,sK5_skl)),
% 0.15/0.80 inference(duplicate_literals_removal,[status(thm)],[f130])).
% 0.15/0.80 fof(f141,plain,(
% 0.15/0.80 equal_set(sK5_skl,sK4_skl)|~subset(sK5_skl,sK4_skl)),
% 0.15/0.80 inference(resolution,[status(thm)],[f132,f25])).
% 0.15/0.80 fof(f143,plain,(
% 0.15/0.80 ~subset(sK5_skl,sK4_skl)),
% 0.15/0.80 inference(forward_subsumption_resolution,[status(thm)],[f141,f74])).
% 0.15/0.80 fof(f151,plain,(
% 0.15/0.80 $false),
% 0.15/0.80 inference(forward_subsumption_resolution,[status(thm)],[f143,f73])).
% 0.15/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.82 % Elapsed time: 0.050467 seconds
% 0.15/0.82 % CPU time: 0.177528 seconds
% 0.15/0.82 % Total memory used: 56.696 MB
% 0.15/0.82 % Net memory used: 56.451 MB
%------------------------------------------------------------------------------