%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET616+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 : n010.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 02:12:19 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET616+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 05:29:39 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f2,axiom,(
% 0.18/0.50 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f3,axiom,(
% 0.18/0.50 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f5,axiom,(
% 0.18/0.50 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f7,conjecture,(
% 0.18/0.50 (! [B,C] :( difference(B,C) = difference(C,B)=> B = C ) )),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f8,negated_conjecture,(
% 0.18/0.50 ~((! [B,C] :( difference(B,C) = difference(C,B)=> B = C ) ))),
% 0.18/0.50 inference(negated_conjecture,[status(cth)],[f7])).
% 0.18/0.50 fof(f14,plain,(
% 0.18/0.50 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.18/0.50 inference(NNF_transformation,[status(thm)],[f2])).
% 0.18/0.50 fof(f15,plain,(
% 0.18/0.50 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f14])).
% 0.18/0.50 fof(f16,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.50 fof(f17,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.50 fof(f18,plain,(
% 0.18/0.50 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.50 fof(f19,plain,(
% 0.18/0.50 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.18/0.50 inference(NNF_transformation,[status(thm)],[f3])).
% 0.18/0.50 fof(f20,plain,(
% 0.18/0.50 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f19])).
% 0.18/0.50 fof(f23,plain,(
% 0.18/0.50 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f20])).
% 0.18/0.50 fof(f31,plain,(
% 0.18/0.50 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.18/0.50 fof(f32,plain,(
% 0.18/0.50 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.18/0.50 inference(NNF_transformation,[status(thm)],[f31])).
% 0.18/0.50 fof(f33,plain,(
% 0.18/0.50 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f32])).
% 0.18/0.50 fof(f34,plain,(
% 0.18/0.50 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK2_skl(C,B),B)&~member(sK2_skl(C,B),C))))),
% 0.18/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B))],[f33])).
% 0.18/0.50 fof(f36,plain,(
% 0.18/0.50 ![X0,X1]: (subset(X0,X1)|member(sK2_skl(X1,X0),X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.50 fof(f37,plain,(
% 0.18/0.50 ![X0,X1]: (subset(X0,X1)|~member(sK2_skl(X1,X0),X1))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.50 fof(f39,plain,(
% 0.18/0.50 (?[B,C]: (difference(B,C)=difference(C,B)&~B=C))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.18/0.50 fof(f40,plain,(
% 0.18/0.50 (difference(sK3_skl,sK4_skl)=difference(sK4_skl,sK3_skl)&~sK3_skl=sK4_skl)),
% 0.18/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f39])).
% 0.18/0.50 fof(f41,plain,(
% 0.18/0.50 difference(sK3_skl,sK4_skl)=difference(sK4_skl,sK3_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.50 fof(f42,plain,(
% 0.18/0.50 ~sK3_skl=sK4_skl),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.50 fof(f45,plain,(
% 0.18/0.50 ![X0]: (~member(X0,difference(sK4_skl,sK3_skl))|member(X0,sK3_skl))),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f41,f16])).
% 0.18/0.50 fof(f46,plain,(
% 0.18/0.50 ![X0]: (~member(X0,difference(sK4_skl,sK3_skl)))),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f45,f17])).
% 0.18/0.50 fof(f50,plain,(
% 0.18/0.50 ![X0,X1,X2]: (subset(X0,X1)|member(sK2_skl(X1,X0),difference(X0,X2))|member(sK2_skl(X1,X0),X2))),
% 0.18/0.50 inference(resolution,[status(thm)],[f36,f18])).
% 0.18/0.50 fof(f51,plain,(
% 0.18/0.50 ![X0,X1,X2]: (subset(X0,X1)|~member(sK2_skl(X1,X0),difference(X2,X0)))),
% 0.18/0.50 inference(resolution,[status(thm)],[f36,f17])).
% 0.18/0.50 fof(f63,plain,(
% 0.18/0.50 ![X0]: (subset(sK4_skl,X0)|member(sK2_skl(X0,sK4_skl),sK3_skl))),
% 0.18/0.50 inference(resolution,[status(thm)],[f50,f46])).
% 0.18/0.50 fof(f67,plain,(
% 0.18/0.50 ![X0]: (subset(sK3_skl,X0)|member(sK2_skl(X0,sK3_skl),difference(sK4_skl,sK3_skl))|member(sK2_skl(X0,sK3_skl),sK4_skl))),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f41,f50])).
% 0.18/0.50 fof(f69,plain,(
% 0.18/0.50 ![X0]: (subset(sK3_skl,X0)|member(sK2_skl(X0,sK3_skl),sK4_skl))),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f67,f51])).
% 0.18/0.50 fof(f90,plain,(
% 0.18/0.50 subset(sK4_skl,sK3_skl)|subset(sK4_skl,sK3_skl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f63,f37])).
% 0.18/0.50 fof(f94,plain,(
% 0.18/0.50 subset(sK4_skl,sK3_skl)),
% 0.18/0.50 inference(duplicate_literals_removal,[status(thm)],[f90])).
% 0.18/0.50 fof(f95,plain,(
% 0.18/0.50 sK3_skl=sK4_skl|~subset(sK3_skl,sK4_skl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f94,f23])).
% 0.18/0.50 fof(f96,plain,(
% 0.18/0.50 ~subset(sK3_skl,sK4_skl)),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f95,f42])).
% 0.18/0.50 fof(f97,plain,(
% 0.18/0.50 subset(sK3_skl,sK4_skl)|subset(sK3_skl,sK4_skl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f69,f37])).
% 0.18/0.50 fof(f101,plain,(
% 0.18/0.50 subset(sK3_skl,sK4_skl)),
% 0.18/0.50 inference(duplicate_literals_removal,[status(thm)],[f97])).
% 0.18/0.50 fof(f102,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f101,f96])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.53 % Elapsed time: 0.071485 seconds
% 0.26/0.53 % CPU time: 0.228601 seconds
% 0.26/0.53 % Total memory used: 102.158 MB
% 0.26/0.53 % Net memory used: 101.727 MB
%------------------------------------------------------------------------------