%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET013-1 : 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 : n007.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 02:11:10 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET013-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 % Computer : n007.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 04:39:36 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.23/0.61 % Refutation found
% 0.23/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.61 fof(f3,axiom,(
% 0.23/0.61 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f4,axiom,(
% 0.23/0.61 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f10,axiom,(
% 0.23/0.61 (![X,Xs,Ys]: (( ~ member(X,Xs)| ~ member(X,Ys)| member(X,intersection(Xs,Ys)) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f11,axiom,(
% 0.23/0.61 (![X,Xs,Ys]: (( ~ member(X,intersection(Xs,Ys))| member(X,Xs) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f12,axiom,(
% 0.23/0.61 (![X,Xs,Ys]: (( ~ member(X,intersection(Xs,Ys))| member(X,Ys) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f15,axiom,(
% 0.23/0.61 (![Set1,Set2]: (( ~ subset(Set1,Set2)| ~ subset(Set2,Set1)| equal_sets(Set2,Set1) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f17,axiom,(
% 0.23/0.61 (![Xs,Ys]: (( ~ equal_sets(Xs,Ys)| equal_sets(Ys,Xs) ) ))),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f22,negated_conjecture,(
% 0.23/0.61 ~ equal_sets(intersection(as,bs),intersection(bs,as)) ),
% 0.23/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.61 fof(f26,plain,(
% 0.23/0.61 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/0.61 fof(f27,plain,(
% 0.23/0.61 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f4])).
% 0.23/0.61 fof(f36,plain,(
% 0.23/0.61 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f10])).
% 0.23/0.61 fof(f37,plain,(
% 0.23/0.61 ![X,Xs]: ((![Ys]: ~member(X,intersection(Xs,Ys)))|member(X,Xs))),
% 0.23/0.61 inference(miniscoping,[status(thm)],[f11])).
% 0.23/0.61 fof(f38,plain,(
% 0.23/0.61 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f37])).
% 0.23/0.61 fof(f39,plain,(
% 0.23/0.61 ![X,Ys]: ((![Xs]: ~member(X,intersection(Xs,Ys)))|member(X,Ys))),
% 0.23/0.61 inference(miniscoping,[status(thm)],[f12])).
% 0.23/0.61 fof(f40,plain,(
% 0.23/0.61 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f39])).
% 0.23/0.61 fof(f43,plain,(
% 0.23/0.61 ![X0,X1]: (~subset(X0,X1)|~subset(X1,X0)|equal_sets(X1,X0))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f15])).
% 0.23/0.61 fof(f45,plain,(
% 0.23/0.61 ![X0,X1]: (~equal_sets(X0,X1)|equal_sets(X1,X0))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f17])).
% 0.23/0.61 fof(f52,plain,(
% 0.23/0.61 ~equal_sets(intersection(as,bs),intersection(bs,as))),
% 0.23/0.61 inference(cnf_transformation,[status(thm)],[f22])).
% 0.23/0.61 fof(f53,plain,(
% 0.23/0.61 ~equal_sets(intersection(bs,as),intersection(as,bs))),
% 0.23/0.61 inference(resolution,[status(thm)],[f45,f52])).
% 0.23/0.61 fof(f60,plain,(
% 0.23/0.61 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(member_of_1_not_of_2(intersection(X0,X1),X2),X1))),
% 0.23/0.61 inference(resolution,[status(thm)],[f26,f40])).
% 0.23/0.61 fof(f61,plain,(
% 0.23/0.61 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(member_of_1_not_of_2(intersection(X0,X1),X2),X0))),
% 0.23/0.61 inference(resolution,[status(thm)],[f26,f38])).
% 0.23/0.61 fof(f64,plain,(
% 0.23/0.61 ![X0,X1,X2]: (subset(X0,intersection(X1,X2))|~member(member_of_1_not_of_2(X0,intersection(X1,X2)),X1)|~member(member_of_1_not_of_2(X0,intersection(X1,X2)),X2))),
% 0.23/0.61 inference(resolution,[status(thm)],[f27,f36])).
% 0.23/0.61 fof(f98,plain,(
% 0.23/0.61 ![X0,X1,X2]: (subset(intersection(X0,X1),intersection(X2,X0))|~member(member_of_1_not_of_2(intersection(X0,X1),intersection(X2,X0)),X2)|subset(intersection(X0,X1),intersection(X2,X0)))),
% 0.23/0.61 inference(resolution,[status(thm)],[f64,f61])).
% 0.23/0.61 fof(f104,plain,(
% 0.23/0.61 ![X0,X1,X2]: (subset(intersection(X0,X1),intersection(X2,X0))|~member(member_of_1_not_of_2(intersection(X0,X1),intersection(X2,X0)),X2))),
% 0.23/0.61 inference(duplicate_literals_removal,[status(thm)],[f98])).
% 0.23/0.61 fof(f127,plain,(
% 0.23/0.61 ~subset(intersection(as,bs),intersection(bs,as))|~subset(intersection(bs,as),intersection(as,bs))),
% 0.23/0.61 inference(resolution,[status(thm)],[f43,f53])).
% 0.23/0.62 fof(f133,definition,(
% 0.23/0.62 sQ0_spl <=> (subset(intersection(as,bs),intersection(bs,as)))),
% 0.23/0.62 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.23/0.62 fof(f135,plain,(
% 0.23/0.62 ~subset(intersection(as,bs),intersection(bs,as))|sQ0_spl),
% 0.23/0.62 inference(component_clause,[status(thm)],[f133])).
% 0.23/0.62 fof(f136,definition,(
% 0.23/0.62 sQ1_spl <=> (subset(intersection(bs,as),intersection(as,bs)))),
% 0.23/0.62 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.23/0.62 fof(f138,plain,(
% 0.23/0.62 ~subset(intersection(bs,as),intersection(as,bs))|sQ1_spl),
% 0.23/0.62 inference(component_clause,[status(thm)],[f136])).
% 0.23/0.62 fof(f139,plain,(
% 0.23/0.62 ~sQ0_spl|~sQ1_spl),
% 0.23/0.62 inference(split_clause,[status(thm)],[f127,f133,f136])).
% 0.23/0.62 fof(f339,plain,(
% 0.23/0.62 ![X0,X1]: (subset(intersection(X0,X1),intersection(X1,X0))|subset(intersection(X0,X1),intersection(X1,X0)))),
% 0.23/0.62 inference(resolution,[status(thm)],[f104,f60])).
% 0.23/0.62 fof(f352,plain,(
% 0.23/0.62 ![X0,X1]: (subset(intersection(X0,X1),intersection(X1,X0)))),
% 0.23/0.62 inference(duplicate_literals_removal,[status(thm)],[f339])).
% 0.23/0.62 fof(f531,plain,(
% 0.23/0.62 $false|sQ0_spl),
% 0.23/0.62 inference(backward_subsumption_resolution,[status(thm)],[f135,f352])).
% 0.23/0.62 fof(f534,plain,(
% 0.23/0.62 sQ0_spl),
% 0.23/0.62 inference(contradiction_clause,[status(thm)],[f531])).
% 0.23/0.62 fof(f535,plain,(
% 0.23/0.62 $false|sQ1_spl),
% 0.23/0.62 inference(forward_subsumption_resolution,[status(thm)],[f138,f352])).
% 0.23/0.62 fof(f536,plain,(
% 0.23/0.62 sQ1_spl),
% 0.23/0.62 inference(contradiction_clause,[status(thm)],[f535])).
% 0.23/0.62 fof(f537,plain,(
% 0.23/0.62 $false),
% 0.23/0.62 inference(sat_refutation,[status(thm)],[f139,f534,f536])).
% 0.23/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.65 % Elapsed time: 0.155966 seconds
% 0.23/0.65 % CPU time: 0.788379 seconds
% 0.23/0.65 % Total memory used: 23.505 MB
% 0.23/0.65 % Net memory used: 22.492 MB
%------------------------------------------------------------------------------