%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET015-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 02:11:11 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET015-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n005.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Mon Sep 21 04:41:48 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.53 % Drodi V4.1.1
% 0.18/0.63 % Refutation found
% 0.18/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.63 fof(f3,axiom,(
% 0.18/0.63 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f4,axiom,(
% 0.18/0.63 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f7,axiom,(
% 0.18/0.63 (![X,Xs,Ys]: (( ~ member(X,Xs)| member(X,union(Xs,Ys)) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f8,axiom,(
% 0.18/0.63 (![X,Ys,Xs]: (( ~ member(X,Ys)| member(X,union(Xs,Ys)) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f9,axiom,(
% 0.18/0.63 (![X,Xs,Ys]: (( ~ member(X,union(Xs,Ys))| member(X,Xs)| member(X,Ys) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f15,axiom,(
% 0.18/0.63 (![Set1,Set2]: (( ~ subset(Set1,Set2)| ~ subset(Set2,Set1)| equal_sets(Set2,Set1) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f17,axiom,(
% 0.18/0.63 (![Xs,Ys]: (( ~ equal_sets(Xs,Ys)| equal_sets(Ys,Xs) ) ))),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f22,negated_conjecture,(
% 0.18/0.63 ~ equal_sets(union(as,bs),union(bs,as)) ),
% 0.18/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.63 fof(f26,plain,(
% 0.18/0.63 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.18/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.63 fof(f27,plain,(
% 0.18/0.63 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.18/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.63 fof(f30,plain,(
% 0.18/0.63 ![X,Xs]: (~member(X,Xs)|(![Ys]: member(X,union(Xs,Ys))))),
% 0.18/0.63 inference(miniscoping,[status(thm)],[f7])).
% 0.18/0.63 fof(f31,plain,(
% 0.18/0.63 ![X0,X1,X2]: (~member(X0,X1)|member(X0,union(X1,X2)))),
% 0.18/0.63 inference(cnf_transformation,[status(thm)],[f30])).
% 0.18/0.63 fof(f32,plain,(
% 0.18/0.63 ![X,Ys]: (~member(X,Ys)|(![Xs]: member(X,union(Xs,Ys))))),
% 0.18/0.63 inference(miniscoping,[status(thm)],[f8])).
% 0.18/0.64 fof(f33,plain,(
% 0.18/0.64 ![X0,X1,X2]: (~member(X0,X1)|member(X0,union(X2,X1)))),
% 0.18/0.64 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.64 fof(f34,plain,(
% 0.18/0.64 ![X,Ys]: ((![Xs]: (~member(X,union(Xs,Ys))|member(X,Xs)))|member(X,Ys))),
% 0.18/0.64 inference(miniscoping,[status(thm)],[f9])).
% 0.18/0.64 fof(f35,plain,(
% 0.18/0.64 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.18/0.64 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.64 fof(f43,plain,(
% 0.18/0.64 ![X0,X1]: (~subset(X0,X1)|~subset(X1,X0)|equal_sets(X1,X0))),
% 0.18/0.64 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.64 fof(f45,plain,(
% 0.18/0.64 ![X0,X1]: (~equal_sets(X0,X1)|equal_sets(X1,X0))),
% 0.18/0.64 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.64 fof(f52,plain,(
% 0.18/0.64 ~equal_sets(union(as,bs),union(bs,as))),
% 0.18/0.64 inference(cnf_transformation,[status(thm)],[f22])).
% 0.18/0.64 fof(f53,plain,(
% 0.18/0.64 ~equal_sets(union(bs,as),union(as,bs))),
% 0.18/0.64 inference(resolution,[status(thm)],[f45,f52])).
% 0.18/0.64 fof(f60,plain,(
% 0.18/0.64 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(member_of_1_not_of_2(union(X0,X1),X2),X0)|member(member_of_1_not_of_2(union(X0,X1),X2),X1))),
% 0.18/0.64 inference(resolution,[status(thm)],[f26,f35])).
% 0.18/0.64 fof(f62,plain,(
% 0.18/0.64 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(member_of_1_not_of_2(X0,union(X1,X2)),X2))),
% 0.18/0.64 inference(resolution,[status(thm)],[f27,f33])).
% 0.18/0.64 fof(f63,plain,(
% 0.18/0.64 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(member_of_1_not_of_2(X0,union(X1,X2)),X1))),
% 0.18/0.64 inference(resolution,[status(thm)],[f27,f31])).
% 0.18/0.64 fof(f87,plain,(
% 0.18/0.64 ![X0,X1,X2]: (subset(union(X0,X1),union(X2,X0))|subset(union(X0,X1),union(X2,X0))|member(member_of_1_not_of_2(union(X0,X1),union(X2,X0)),X1))),
% 0.18/0.64 inference(resolution,[status(thm)],[f62,f60])).
% 0.18/0.64 fof(f94,plain,(
% 0.18/0.64 ![X0,X1,X2]: (subset(union(X0,X1),union(X2,X0))|member(member_of_1_not_of_2(union(X0,X1),union(X2,X0)),X1))),
% 0.18/0.64 inference(duplicate_literals_removal,[status(thm)],[f87])).
% 0.18/0.64 fof(f162,plain,(
% 0.18/0.64 ~subset(union(as,bs),union(bs,as))|~subset(union(bs,as),union(as,bs))),
% 0.18/0.64 inference(resolution,[status(thm)],[f43,f53])).
% 0.18/0.64 fof(f168,definition,(
% 0.18/0.64 sQ0_spl <=> (subset(union(as,bs),union(bs,as)))),
% 0.18/0.64 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.64 fof(f170,plain,(
% 0.18/0.64 ~subset(union(as,bs),union(bs,as))|sQ0_spl),
% 0.18/0.64 inference(component_clause,[status(thm)],[f168])).
% 0.18/0.64 fof(f171,definition,(
% 0.18/0.64 sQ1_spl <=> (subset(union(bs,as),union(as,bs)))),
% 0.18/0.64 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.64 fof(f173,plain,(
% 0.18/0.64 ~subset(union(bs,as),union(as,bs))|sQ1_spl),
% 0.18/0.64 inference(component_clause,[status(thm)],[f171])).
% 0.18/0.64 fof(f174,plain,(
% 0.18/0.64 ~sQ0_spl|~sQ1_spl),
% 0.18/0.64 inference(split_clause,[status(thm)],[f162,f168,f171])).
% 0.18/0.64 fof(f512,plain,(
% 0.18/0.64 ![X0,X1]: (subset(union(X0,X1),union(X1,X0))|subset(union(X0,X1),union(X1,X0)))),
% 0.18/0.64 inference(resolution,[status(thm)],[f94,f63])).
% 0.18/0.64 fof(f522,plain,(
% 0.18/0.64 ![X0,X1]: (subset(union(X0,X1),union(X1,X0)))),
% 0.18/0.64 inference(duplicate_literals_removal,[status(thm)],[f512])).
% 0.18/0.64 fof(f697,plain,(
% 0.18/0.64 $false|sQ0_spl),
% 0.18/0.64 inference(backward_subsumption_resolution,[status(thm)],[f170,f522])).
% 0.18/0.64 fof(f699,plain,(
% 0.18/0.64 sQ0_spl),
% 0.18/0.64 inference(contradiction_clause,[status(thm)],[f697])).
% 0.18/0.64 fof(f700,plain,(
% 0.18/0.64 $false|sQ1_spl),
% 0.18/0.64 inference(forward_subsumption_resolution,[status(thm)],[f173,f522])).
% 0.18/0.64 fof(f701,plain,(
% 0.18/0.64 sQ1_spl),
% 0.18/0.64 inference(contradiction_clause,[status(thm)],[f700])).
% 0.18/0.64 fof(f702,plain,(
% 0.18/0.64 $false),
% 0.18/0.64 inference(sat_refutation,[status(thm)],[f174,f699,f701])).
% 0.18/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.65 % Elapsed time: 0.121839 seconds
% 0.18/0.65 % CPU time: 0.754949 seconds
% 0.18/0.65 % Total memory used: 26.563 MB
% 0.18/0.65 % Net memory used: 25.405 MB
%------------------------------------------------------------------------------