%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU327+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:22:20 PM UTC 2026
% Result : Theorem 3.88s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU327+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:12:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 3.88/1.01 % Refutation found
% 3.88/1.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.88/1.01 % SZS output start CNFRefutation for theBenchmark
% 3.88/1.01 fof(f17,axiom,(
% 3.88/1.01 (! [A] : cast_to_subset(A) = A )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f18,axiom,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f22,axiom,(
% 3.88/1.01 (! [A] : element(cast_to_subset(A),powerset(A)) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f26,axiom,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(powerset(A)))=> element(union_of_subsets(A,B),powerset(A)) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f29,axiom,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(powerset(A)))=> element(complements_of_subsets(A,B),powerset(powerset(A))) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f44,axiom,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(powerset(A)))=> union_of_subsets(A,B) = union(B) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f45,axiom,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(powerset(A)))=> meet_of_subsets(A,B) = set_meet(B) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f46,axiom,(
% 3.88/1.01 (! [A,B,C] :( ( element(B,powerset(A))& element(C,powerset(A)) )=> subset_difference(A,B,C) = set_difference(B,C) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f48,conjecture,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(powerset(A)))=> ( B != empty_set=> meet_of_subsets(A,complements_of_subsets(A,B)) = subset_complement(A,union_of_subsets(A,B)) ) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f49,negated_conjecture,(
% 3.88/1.01 ~((! [A,B] :( element(B,powerset(powerset(A)))=> ( B != empty_set=> meet_of_subsets(A,complements_of_subsets(A,B)) = subset_complement(A,union_of_subsets(A,B)) ) ) ))),
% 3.88/1.01 inference(negated_conjecture,[status(cth)],[f48])).
% 3.88/1.01 fof(f54,axiom,(
% 3.88/1.01 (! [A,B] :( element(B,powerset(powerset(A)))=> ( B != empty_set=> subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) )),
% 3.88/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.88/1.01 fof(f117,plain,(
% 3.88/1.01 ![X0]: (cast_to_subset(X0)=X0)),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f17])).
% 3.88/1.01 fof(f118,plain,(
% 3.88/1.01 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 3.88/1.01 fof(f119,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f118])).
% 3.88/1.01 fof(f120,plain,(
% 3.88/1.01 ![X0]: (element(cast_to_subset(X0),powerset(X0)))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f22])).
% 3.88/1.01 fof(f123,plain,(
% 3.88/1.01 ![A,B]: (~element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 3.88/1.01 fof(f124,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|element(union_of_subsets(X1,X0),powerset(X1)))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f123])).
% 3.88/1.01 fof(f129,plain,(
% 3.88/1.01 ![A,B]: (~element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 3.88/1.01 fof(f130,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|element(complements_of_subsets(X1,X0),powerset(powerset(X1))))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f129])).
% 3.88/1.01 fof(f183,plain,(
% 3.88/1.01 ![A,B]: (~element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 3.88/1.01 fof(f184,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|union_of_subsets(X1,X0)=union(X0))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f183])).
% 3.88/1.01 fof(f185,plain,(
% 3.88/1.01 ![A,B]: (~element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 3.88/1.01 fof(f186,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|meet_of_subsets(X1,X0)=set_meet(X0))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f185])).
% 3.88/1.01 fof(f187,plain,(
% 3.88/1.01 ![A,B,C]: ((~element(B,powerset(A))|~element(C,powerset(A)))|subset_difference(A,B,C)=set_difference(B,C))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 3.88/1.01 fof(f188,plain,(
% 3.88/1.01 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|subset_difference(X1,X0,X2)=set_difference(X0,X2))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f187])).
% 3.88/1.01 fof(f191,plain,(
% 3.88/1.01 (?[A,B]: (element(B,powerset(powerset(A)))&(~B=empty_set&~meet_of_subsets(A,complements_of_subsets(A,B))=subset_complement(A,union_of_subsets(A,B)))))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 3.88/1.01 fof(f192,plain,(
% 3.88/1.01 (element(sK5_skl,powerset(powerset(sK4_skl)))&(~sK5_skl=empty_set&~meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))=subset_complement(sK4_skl,union_of_subsets(sK4_skl,sK5_skl))))),
% 3.88/1.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f191])).
% 3.88/1.01 fof(f193,plain,(
% 3.88/1.01 element(sK5_skl,powerset(powerset(sK4_skl)))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f192])).
% 3.88/1.01 fof(f194,plain,(
% 3.88/1.01 ~sK5_skl=empty_set),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f192])).
% 3.88/1.01 fof(f195,plain,(
% 3.88/1.01 ~meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))=subset_complement(sK4_skl,union_of_subsets(sK4_skl,sK5_skl))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f192])).
% 3.88/1.01 fof(f205,plain,(
% 3.88/1.01 ![A,B]: (~element(B,powerset(powerset(A)))|(B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B))))),
% 3.88/1.01 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 3.88/1.01 fof(f206,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|X0=empty_set|subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X0))=meet_of_subsets(X1,complements_of_subsets(X1,X0)))),
% 3.88/1.01 inference(cnf_transformation,[status(thm)],[f205])).
% 3.88/1.01 fof(f227,plain,(
% 3.88/1.01 element(union_of_subsets(sK4_skl,sK5_skl),powerset(sK4_skl))),
% 3.88/1.01 inference(resolution,[status(thm)],[f124,f193])).
% 3.88/1.01 fof(f234,plain,(
% 3.88/1.01 subset_complement(sK4_skl,union_of_subsets(sK4_skl,sK5_skl))=set_difference(sK4_skl,union_of_subsets(sK4_skl,sK5_skl))),
% 3.88/1.01 inference(resolution,[status(thm)],[f227,f119])).
% 3.88/1.01 fof(f257,plain,(
% 3.88/1.01 element(complements_of_subsets(sK4_skl,sK5_skl),powerset(powerset(sK4_skl)))),
% 3.88/1.01 inference(resolution,[status(thm)],[f130,f193])).
% 3.88/1.01 fof(f284,plain,(
% 3.88/1.01 ![X0]: (element(X0,powerset(X0)))),
% 3.88/1.01 inference(forward_demodulation,[status(thm)],[f117,f120])).
% 3.88/1.01 fof(f329,plain,(
% 3.88/1.01 ~meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))=set_difference(sK4_skl,union_of_subsets(sK4_skl,sK5_skl))),
% 3.88/1.01 inference(backward_demodulation,[status(thm)],[f234,f195])).
% 3.88/1.01 fof(f1899,plain,(
% 3.88/1.01 union_of_subsets(sK4_skl,sK5_skl)=union(sK5_skl)),
% 3.88/1.01 inference(resolution,[status(thm)],[f184,f193])).
% 3.88/1.01 fof(f1905,plain,(
% 3.88/1.01 meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))=set_meet(complements_of_subsets(sK4_skl,sK5_skl))),
% 3.88/1.01 inference(resolution,[status(thm)],[f186,f257])).
% 3.88/1.01 fof(f1939,plain,(
% 3.88/1.01 ![X0]: (~element(X0,powerset(sK4_skl))|subset_difference(sK4_skl,X0,union_of_subsets(sK4_skl,sK5_skl))=set_difference(X0,union_of_subsets(sK4_skl,sK5_skl)))),
% 3.88/1.01 inference(resolution,[status(thm)],[f188,f227])).
% 3.88/1.01 fof(f1951,plain,(
% 3.88/1.01 ~meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))=set_difference(sK4_skl,union(sK5_skl))),
% 3.88/1.01 inference(backward_demodulation,[status(thm)],[f1899,f329])).
% 3.88/1.01 fof(f2126,plain,(
% 3.88/1.01 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|X0=empty_set|subset_difference(X1,X1,union_of_subsets(X1,X0))=meet_of_subsets(X1,complements_of_subsets(X1,X0)))),
% 3.88/1.01 inference(forward_demodulation,[status(thm)],[f117,f206])).
% 3.88/1.01 fof(f2144,plain,(
% 3.88/1.01 sK5_skl=empty_set|subset_difference(sK4_skl,sK4_skl,union_of_subsets(sK4_skl,sK5_skl))=meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))),
% 3.88/1.01 inference(resolution,[status(thm)],[f2126,f193])).
% 3.88/1.01 fof(f2154,plain,(
% 3.88/1.01 sK5_skl=empty_set|subset_difference(sK4_skl,sK4_skl,union(sK5_skl))=meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))),
% 3.88/1.01 inference(forward_demodulation,[status(thm)],[f1899,f2144])).
% 3.88/1.01 fof(f2155,plain,(
% 4.76/1.04 subset_difference(sK4_skl,sK4_skl,union(sK5_skl))=meet_of_subsets(sK4_skl,complements_of_subsets(sK4_skl,sK5_skl))),
% 4.76/1.04 inference(forward_subsumption_resolution,[status(thm)],[f2154,f194])).
% 4.76/1.04 fof(f2526,plain,(
% 4.76/1.04 ~subset_difference(sK4_skl,sK4_skl,union(sK5_skl))=set_difference(sK4_skl,union(sK5_skl))),
% 4.76/1.04 inference(backward_demodulation,[status(thm)],[f2155,f1951])).
% 4.76/1.04 fof(f12620,plain,(
% 4.76/1.04 subset_difference(sK4_skl,sK4_skl,union(sK5_skl))=set_meet(complements_of_subsets(sK4_skl,sK5_skl))),
% 4.76/1.04 inference(backward_demodulation,[status(thm)],[f1905,f2155])).
% 4.76/1.04 fof(f12911,plain,(
% 4.76/1.04 ~set_meet(complements_of_subsets(sK4_skl,sK5_skl))=set_difference(sK4_skl,union(sK5_skl))),
% 4.76/1.04 inference(backward_demodulation,[status(thm)],[f12620,f2526])).
% 4.76/1.04 fof(f13942,plain,(
% 4.76/1.04 ![X0]: (~element(X0,powerset(sK4_skl))|subset_difference(sK4_skl,X0,union(sK5_skl))=set_difference(X0,union_of_subsets(sK4_skl,sK5_skl)))),
% 4.76/1.04 inference(forward_demodulation,[status(thm)],[f1899,f1939])).
% 4.76/1.04 fof(f13943,plain,(
% 4.76/1.04 ![X0]: (~element(X0,powerset(sK4_skl))|subset_difference(sK4_skl,X0,union(sK5_skl))=set_difference(X0,union(sK5_skl)))),
% 4.76/1.04 inference(forward_demodulation,[status(thm)],[f1899,f13942])).
% 4.76/1.04 fof(f13979,plain,(
% 4.76/1.04 subset_difference(sK4_skl,sK4_skl,union(sK5_skl))=set_difference(sK4_skl,union(sK5_skl))),
% 4.76/1.04 inference(resolution,[status(thm)],[f13943,f284])).
% 4.76/1.04 fof(f13983,plain,(
% 4.76/1.04 set_meet(complements_of_subsets(sK4_skl,sK5_skl))=set_difference(sK4_skl,union(sK5_skl))),
% 4.76/1.04 inference(forward_demodulation,[status(thm)],[f12620,f13979])).
% 4.76/1.04 fof(f13984,plain,(
% 4.76/1.04 $false),
% 4.76/1.04 inference(forward_subsumption_resolution,[status(thm)],[f13983,f12911])).
% 4.76/1.04 % SZS output end CNFRefutation for theBenchmark.p
% 4.76/1.07 % Elapsed time: 0.691308 seconds
% 4.76/1.07 % CPU time: 5.054190 seconds
% 4.76/1.07 % Total memory used: 186.819 MB
% 4.76/1.07 % Net memory used: 181.691 MB
%------------------------------------------------------------------------------