%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET015-2 : 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 : n020.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 0.15s 1.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET015-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n020.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 04:42:48 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.15/1.16 % Refutation found
% 0.15/1.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/1.16 % SZS output start CNFRefutation for theBenchmark
% 0.15/1.16 fof(f3,axiom,(
% 0.15/1.16 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f4,axiom,(
% 0.15/1.16 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f7,axiom,(
% 0.15/1.16 (![X,Xs,Ys]: (( ~ member(X,Xs)| member(X,union(Xs,Ys)) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f8,axiom,(
% 0.15/1.16 (![X,Ys,Xs]: (( ~ member(X,Ys)| member(X,union(Xs,Ys)) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f9,axiom,(
% 0.15/1.16 (![X,Xs,Ys]: (( ~ member(X,union(Xs,Ys))| member(X,Xs)| member(X,Ys) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f13,axiom,(
% 0.15/1.16 (![Subset,Superset]: (( ~ equal_sets(Subset,Superset)| subset(Subset,Superset) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f14,axiom,(
% 0.15/1.16 (![Superset,Subset]: (( ~ equal_sets(Superset,Subset)| subset(Subset,Superset) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f15,axiom,(
% 0.15/1.16 (![Set1,Set2]: (( ~ subset(Set1,Set2)| ~ subset(Set2,Set1)| equal_sets(Set2,Set1) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f17,axiom,(
% 0.15/1.16 (![Xs,Ys]: (( ~ equal_sets(Xs,Ys)| equal_sets(Ys,Xs) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f18,axiom,(
% 0.15/1.16 (![Xs,Ys,Zs]: (( ~ equal_sets(Xs,Ys)| ~ equal_sets(Ys,Zs)| equal_sets(Xs,Zs) ) ))),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f22,hypothesis,(
% 0.15/1.16 equal_sets(union(as,bs),cs) ),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f23,hypothesis,(
% 0.15/1.16 equal_sets(union(bs,as),ds) ),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f24,negated_conjecture,(
% 0.15/1.16 ~ equal_sets(cs,ds) ),
% 0.15/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/1.16 fof(f28,plain,(
% 0.15/1.16 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/1.16 fof(f29,plain,(
% 0.15/1.16 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/1.16 fof(f32,plain,(
% 0.15/1.16 ![X,Xs]: (~member(X,Xs)|(![Ys]: member(X,union(Xs,Ys))))),
% 0.15/1.16 inference(miniscoping,[status(thm)],[f7])).
% 0.15/1.16 fof(f33,plain,(
% 0.15/1.16 ![X0,X1,X2]: (~member(X0,X1)|member(X0,union(X1,X2)))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/1.16 fof(f34,plain,(
% 0.15/1.16 ![X,Ys]: (~member(X,Ys)|(![Xs]: member(X,union(Xs,Ys))))),
% 0.15/1.16 inference(miniscoping,[status(thm)],[f8])).
% 0.15/1.16 fof(f35,plain,(
% 0.15/1.16 ![X0,X1,X2]: (~member(X0,X1)|member(X0,union(X2,X1)))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/1.16 fof(f36,plain,(
% 0.15/1.16 ![X,Ys]: ((![Xs]: (~member(X,union(Xs,Ys))|member(X,Xs)))|member(X,Ys))),
% 0.15/1.16 inference(miniscoping,[status(thm)],[f9])).
% 0.15/1.16 fof(f37,plain,(
% 0.15/1.16 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/1.16 fof(f43,plain,(
% 0.15/1.16 ![X0,X1]: (~equal_sets(X0,X1)|subset(X0,X1))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/1.16 fof(f44,plain,(
% 0.15/1.16 ![X0,X1]: (~equal_sets(X0,X1)|subset(X1,X0))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/1.16 fof(f45,plain,(
% 0.15/1.16 ![X0,X1]: (~subset(X0,X1)|~subset(X1,X0)|equal_sets(X1,X0))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/1.16 fof(f47,plain,(
% 0.15/1.16 ![X0,X1]: (~equal_sets(X0,X1)|equal_sets(X1,X0))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/1.16 fof(f48,plain,(
% 0.15/1.16 ![Xs,Zs]: ((![Ys]: (~equal_sets(Xs,Ys)|~equal_sets(Ys,Zs)))|equal_sets(Xs,Zs))),
% 0.15/1.16 inference(miniscoping,[status(thm)],[f18])).
% 0.15/1.16 fof(f49,plain,(
% 0.15/1.16 ![X0,X1,X2]: (~equal_sets(X0,X1)|~equal_sets(X1,X2)|equal_sets(X0,X2))),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f48])).
% 0.15/1.16 fof(f54,plain,(
% 0.15/1.16 equal_sets(union(as,bs),cs)),
% 0.15/1.16 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/1.16 fof(f55,plain,(
% 0.15/1.16 equal_sets(union(bs,as),ds)),
% 4.33/1.18 inference(cnf_transformation,[status(thm)],[f23])).
% 4.33/1.18 fof(f56,plain,(
% 4.33/1.18 ~equal_sets(cs,ds)),
% 4.33/1.18 inference(cnf_transformation,[status(thm)],[f24])).
% 4.33/1.18 fof(f60,plain,(
% 4.33/1.18 ![X0]: (~equal_sets(cs,X0)|~equal_sets(X0,ds))),
% 4.33/1.18 inference(resolution,[status(thm)],[f49,f56])).
% 4.33/1.18 fof(f62,plain,(
% 4.33/1.18 ![X0]: (~equal_sets(X0,ds)|~equal_sets(X0,cs))),
% 4.33/1.18 inference(resolution,[status(thm)],[f60,f47])).
% 4.33/1.18 fof(f68,plain,(
% 4.33/1.18 subset(union(as,bs),cs)),
% 4.33/1.18 inference(resolution,[status(thm)],[f43,f54])).
% 4.33/1.18 fof(f73,plain,(
% 4.33/1.18 subset(cs,union(as,bs))),
% 4.33/1.18 inference(resolution,[status(thm)],[f44,f54])).
% 4.33/1.18 fof(f83,plain,(
% 4.33/1.18 ~equal_sets(union(bs,as),cs)),
% 4.33/1.18 inference(resolution,[status(thm)],[f62,f55])).
% 4.33/1.18 fof(f97,plain,(
% 4.33/1.18 ~equal_sets(cs,union(bs,as))),
% 4.33/1.18 inference(resolution,[status(thm)],[f83,f47])).
% 4.33/1.18 fof(f98,plain,(
% 4.33/1.18 ![X0]: (~equal_sets(cs,X0)|~equal_sets(X0,union(bs,as)))),
% 4.33/1.18 inference(resolution,[status(thm)],[f97,f49])).
% 4.33/1.18 fof(f100,plain,(
% 4.33/1.18 ![X0,X1,X2]: (~member(member_of_1_not_of_2(X0,union(X1,X2)),X1)|subset(X0,union(X1,X2)))),
% 4.33/1.18 inference(resolution,[status(thm)],[f33,f29])).
% 4.33/1.18 fof(f102,plain,(
% 4.33/1.18 ![X0,X1,X2]: (~member(member_of_1_not_of_2(X0,union(X1,X2)),X2)|subset(X0,union(X1,X2)))),
% 4.33/1.18 inference(resolution,[status(thm)],[f35,f29])).
% 4.33/1.18 fof(f104,plain,(
% 4.33/1.18 ![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)|subset(union(X0,X1),X2))),
% 4.33/1.18 inference(resolution,[status(thm)],[f37,f28])).
% 4.33/1.18 fof(f143,plain,(
% 4.33/1.18 ~subset(union(as,bs),cs)|equal_sets(cs,union(as,bs))),
% 4.33/1.18 inference(resolution,[status(thm)],[f45,f73])).
% 4.33/1.18 fof(f151,plain,(
% 4.33/1.18 equal_sets(cs,union(as,bs))),
% 4.33/1.18 inference(forward_subsumption_resolution,[status(thm)],[f143,f68])).
% 4.33/1.18 fof(f159,plain,(
% 4.33/1.18 ~equal_sets(union(as,bs),union(bs,as))),
% 4.33/1.18 inference(resolution,[status(thm)],[f151,f98])).
% 4.33/1.18 fof(f295,plain,(
% 4.33/1.18 ![X0,X1,X2]: (member(member_of_1_not_of_2(union(X0,X1),union(X2,X0)),X1)|subset(union(X0,X1),union(X2,X0))|subset(union(X0,X1),union(X2,X0)))),
% 4.33/1.18 inference(resolution,[status(thm)],[f104,f102])).
% 4.33/1.18 fof(f326,plain,(
% 4.33/1.18 ![X0,X1,X2]: (member(member_of_1_not_of_2(union(X0,X1),union(X2,X0)),X1)|subset(union(X0,X1),union(X2,X0)))),
% 4.33/1.18 inference(duplicate_literals_removal,[status(thm)],[f295])).
% 4.33/1.18 fof(f2209,plain,(
% 4.33/1.18 ![X0,X1]: (subset(union(X0,X1),union(X1,X0))|subset(union(X0,X1),union(X1,X0)))),
% 4.33/1.18 inference(resolution,[status(thm)],[f326,f100])).
% 4.33/1.18 fof(f2241,plain,(
% 4.33/1.18 ![X0,X1]: (subset(union(X0,X1),union(X1,X0)))),
% 4.33/1.18 inference(duplicate_literals_removal,[status(thm)],[f2209])).
% 4.33/1.18 fof(f2503,plain,(
% 4.33/1.18 ![X0,X1]: (~subset(union(X0,X1),union(X1,X0))|equal_sets(union(X1,X0),union(X0,X1)))),
% 4.33/1.18 inference(resolution,[status(thm)],[f2241,f45])).
% 4.33/1.18 fof(f2504,plain,(
% 4.33/1.18 ![X0,X1]: (equal_sets(union(X0,X1),union(X1,X0)))),
% 4.33/1.18 inference(forward_subsumption_resolution,[status(thm)],[f2503,f2241])).
% 4.33/1.18 fof(f2506,plain,(
% 4.33/1.18 $false),
% 4.33/1.18 inference(backward_subsumption_resolution,[status(thm)],[f159,f2504])).
% 4.33/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 4.33/1.19 % Elapsed time: 0.611043 seconds
% 4.33/1.19 % CPU time: 4.562542 seconds
% 4.33/1.19 % Total memory used: 50.998 MB
% 4.33/1.19 % Net memory used: 44.565 MB
%------------------------------------------------------------------------------