%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET632+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 : n005.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 02:12:21 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET632+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
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:30:17 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f1,axiom,(
% 0.16/0.47 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f2,axiom,(
% 0.16/0.47 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f3,axiom,(
% 0.16/0.47 (! [B] : ~ member(B,empty_set) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f4,axiom,(
% 0.16/0.47 (! [B,C] :( disjoint(B,C)<=> ~ intersect(B,C) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f5,axiom,(
% 0.16/0.47 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f6,axiom,(
% 0.16/0.47 (! [B,C] :( intersect(B,C)=> intersect(C,B) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f8,axiom,(
% 0.16/0.47 (! [B] :( empty(B)<=> (! [C] : ~ member(C,B) )) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f9,conjecture,(
% 0.16/0.47 (! [B,C,D] :( ( subset(B,C)& subset(B,D)& disjoint(C,D) )=> B = empty_set ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f10,negated_conjecture,(
% 0.16/0.47 ~((! [B,C,D] :( ( subset(B,C)& subset(B,D)& disjoint(C,D) )=> B = empty_set ) ))),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f9])).
% 0.16/0.47 fof(f11,plain,(
% 0.16/0.47 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/0.47 fof(f12,plain,(
% 0.16/0.47 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f11])).
% 0.16/0.47 fof(f13,plain,(
% 0.16/0.47 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f12])).
% 0.16/0.47 fof(f14,plain,(
% 0.16/0.47 (![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))))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f13])).
% 0.16/0.47 fof(f15,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/0.47 fof(f16,plain,(
% 0.16/0.47 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/0.47 fof(f18,plain,(
% 0.16/0.47 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f2])).
% 0.16/0.47 fof(f19,plain,(
% 0.16/0.47 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f18])).
% 0.16/0.47 fof(f20,plain,(
% 0.16/0.47 (![B,C]: (~intersect(B,C)|(member(sK1_skl(C,B),B)&member(sK1_skl(C,B),C))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f19])).
% 0.16/0.47 fof(f23,plain,(
% 0.16/0.47 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.47 fof(f24,plain,(
% 0.16/0.47 ![X0]: (~member(X0,empty_set))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.47 fof(f25,plain,(
% 0.16/0.47 ![B,C]: ((~disjoint(B,C)|~intersect(B,C))&(disjoint(B,C)|intersect(B,C)))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f4])).
% 0.16/0.47 fof(f26,plain,(
% 0.16/0.47 (![B,C]: (~disjoint(B,C)|~intersect(B,C)))&(![B,C]: (disjoint(B,C)|intersect(B,C)))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f25])).
% 0.16/0.47 fof(f27,plain,(
% 0.16/0.47 ![X0,X1]: (~disjoint(X0,X1)|~intersect(X0,X1))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.47 fof(f29,plain,(
% 0.16/0.47 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f5])).
% 0.16/0.47 fof(f30,plain,(
% 0.16/0.47 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f29])).
% 0.16/0.47 fof(f33,plain,(
% 0.16/0.47 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f30])).
% 0.16/0.47 fof(f34,plain,(
% 0.16/0.47 ![B,C]: (~intersect(B,C)|intersect(C,B))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.16/0.47 fof(f35,plain,(
% 0.16/0.47 ![X0,X1]: (~intersect(X0,X1)|intersect(X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f34])).
% 0.16/0.47 fof(f37,plain,(
% 0.16/0.47 ![B]: ((~empty(B)|(![C]: ~member(C,B)))&(empty(B)|(?[C]: member(C,B))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f8])).
% 0.16/0.47 fof(f38,plain,(
% 0.16/0.47 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|(?[C]: member(C,B))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f37])).
% 0.16/0.47 fof(f39,plain,(
% 0.16/0.47 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|member(sK2_skl(B),B)))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B))],[f38])).
% 0.16/0.47 fof(f40,plain,(
% 0.16/0.47 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/0.47 fof(f41,plain,(
% 0.16/0.47 ![X0]: (empty(X0)|member(sK2_skl(X0),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/0.47 fof(f42,plain,(
% 0.16/0.47 (?[B,C,D]: (((subset(B,C)&subset(B,D))&disjoint(C,D))&~B=empty_set))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.16/0.47 fof(f43,plain,(
% 0.16/0.47 ?[B]: ((?[C,D]: ((subset(B,C)&subset(B,D))&disjoint(C,D)))&~B=empty_set)),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f42])).
% 0.16/0.47 fof(f44,plain,(
% 0.16/0.47 (((subset(sK3_skl,sK4_skl)&subset(sK3_skl,sK5_skl))&disjoint(sK4_skl,sK5_skl))&~sK3_skl=empty_set)),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl),skolemize(D,sK5_skl)],[f43])).
% 0.16/0.47 fof(f45,plain,(
% 0.16/0.47 subset(sK3_skl,sK4_skl)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.47 fof(f46,plain,(
% 0.16/0.47 subset(sK3_skl,sK5_skl)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.47 fof(f47,plain,(
% 0.16/0.47 disjoint(sK4_skl,sK5_skl)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.47 fof(f48,plain,(
% 0.16/0.47 ~sK3_skl=empty_set),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.47 fof(f57,plain,(
% 0.16/0.47 ![X0]: (subset(empty_set,X0))),
% 0.16/0.47 inference(resolution,[status(thm)],[f16,f24])).
% 0.16/0.47 fof(f59,plain,(
% 0.16/0.47 ![X0]: (X0=empty_set|~subset(X0,empty_set))),
% 0.16/0.47 inference(resolution,[status(thm)],[f57,f33])).
% 0.16/0.47 fof(f60,plain,(
% 0.16/0.47 ![X0,X1]: (~intersect(X0,X1)|~disjoint(X1,X0))),
% 0.16/0.47 inference(resolution,[status(thm)],[f35,f27])).
% 0.16/0.47 fof(f63,plain,(
% 0.16/0.47 ~intersect(sK5_skl,sK4_skl)),
% 0.16/0.47 inference(resolution,[status(thm)],[f60,f47])).
% 0.16/0.47 fof(f64,plain,(
% 0.16/0.47 ~intersect(sK4_skl,sK5_skl)),
% 0.16/0.47 inference(resolution,[status(thm)],[f63,f35])).
% 0.16/0.47 fof(f79,plain,(
% 0.16/0.47 ![X0]: (~member(X0,sK4_skl)|~member(X0,sK5_skl))),
% 0.16/0.47 inference(resolution,[status(thm)],[f23,f64])).
% 0.16/0.47 fof(f88,plain,(
% 0.16/0.47 ![X0,X1]: (~member(X0,sK5_skl)|~subset(X1,sK4_skl)|~member(X0,X1))),
% 0.16/0.47 inference(resolution,[status(thm)],[f79,f15])).
% 0.16/0.47 fof(f107,plain,(
% 0.16/0.47 ![X0]: (~member(X0,sK5_skl)|~member(X0,sK3_skl))),
% 0.16/0.47 inference(resolution,[status(thm)],[f88,f45])).
% 0.16/0.47 fof(f111,plain,(
% 0.16/0.47 ~member(sK2_skl(sK3_skl),sK5_skl)|empty(sK3_skl)),
% 0.16/0.47 inference(resolution,[status(thm)],[f107,f41])).
% 0.16/0.47 fof(f114,plain,(
% 0.16/0.47 ![X0]: (empty(sK3_skl)|~subset(X0,sK5_skl)|~member(sK2_skl(sK3_skl),X0))),
% 0.16/0.47 inference(resolution,[status(thm)],[f111,f15])).
% 0.16/0.47 fof(f162,plain,(
% 0.16/0.47 empty(sK3_skl)|~subset(sK3_skl,sK5_skl)|empty(sK3_skl)),
% 0.16/0.47 inference(resolution,[status(thm)],[f114,f41])).
% 0.16/0.47 fof(f164,plain,(
% 0.16/0.47 empty(sK3_skl)|~subset(sK3_skl,sK5_skl)),
% 0.16/0.47 inference(duplicate_literals_removal,[status(thm)],[f162])).
% 0.16/0.47 fof(f165,plain,(
% 0.16/0.47 empty(sK3_skl)),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f164,f46])).
% 0.16/0.47 fof(f166,plain,(
% 0.16/0.47 ![X0]: (~member(X0,sK3_skl))),
% 0.16/0.47 inference(resolution,[status(thm)],[f165,f40])).
% 0.16/0.47 fof(f173,plain,(
% 0.16/0.47 ![X0]: (subset(sK3_skl,X0))),
% 0.16/0.47 inference(resolution,[status(thm)],[f166,f16])).
% 0.16/0.47 fof(f186,plain,(
% 0.16/0.47 sK3_skl=empty_set),
% 0.16/0.47 inference(resolution,[status(thm)],[f173,f59])).
% 0.16/0.47 fof(f191,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f186,f48])).
% 0.16/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.51 % Elapsed time: 0.070639 seconds
% 0.22/0.51 % CPU time: 0.223875 seconds
% 0.22/0.51 % Total memory used: 80.904 MB
% 0.22/0.51 % Net memory used: 80.446 MB
%------------------------------------------------------------------------------