%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:11:09 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 04:46:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.13/0.95 % Refutation found
% 0.13/0.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.95 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.95 fof(f1,axiom,(
% 0.13/0.95 (![Element,Subset,Superset]: (( ~ member(Element,Subset)| ~ subset(Subset,Superset)| member(Element,Superset) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f2,axiom,(
% 0.13/0.95 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f3,axiom,(
% 0.13/0.95 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f10,axiom,(
% 0.13/0.95 (![Set1,Set2,Intersection]: (( member(h(Set1,Set2,Intersection),Intersection)| intersection(Set1,Set2,Intersection)| member(h(Set1,Set2,Intersection),Set1) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f11,axiom,(
% 0.13/0.95 (![Set1,Set2,Intersection]: (( member(h(Set1,Set2,Intersection),Intersection)| intersection(Set1,Set2,Intersection)| member(h(Set1,Set2,Intersection),Set2) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f12,axiom,(
% 0.13/0.95 (![Set1,Set2,Intersection]: (( ~ member(h(Set1,Set2,Intersection),Intersection)| ~ member(h(Set1,Set2,Intersection),Set2)| ~ member(h(Set1,Set2,Intersection),Set1)| intersection(Set1,Set2,Intersection) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f13,axiom,(
% 0.13/0.95 (![Set1,Set2,Difference,Element]: (( ~ difference(Set1,Set2,Difference)| ~ member(Element,Difference)| member(Element,Set1) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f14,axiom,(
% 0.13/0.95 (![Element,Set1,Set2,A_set]: (( ~ member(Element,Set1)| ~ member(Element,Set2)| ~ difference(A_set,Set1,Set2) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f15,axiom,(
% 0.13/0.95 (![Element,Set1,Set2,Difference]: (( ~ member(Element,Set1)| ~ difference(Set1,Set2,Difference)| member(Element,Difference)| member(Element,Set2) ) ))),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f19,hypothesis,(
% 0.13/0.95 difference(a,b,aDb) ),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f20,hypothesis,(
% 0.13/0.95 difference(a,aDb,aD_aDb) ),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f21,negated_conjecture,(
% 0.13/0.95 ~ intersection(a,b,aD_aDb) ),
% 0.13/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.95 fof(f22,plain,(
% 0.13/0.95 ![Element,Superset]: ((![Subset]: (~member(Element,Subset)|~subset(Subset,Superset)))|member(Element,Superset))),
% 0.13/0.95 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.95 fof(f23,plain,(
% 0.13/0.95 ![X0,X1,X2]: (~member(X0,X1)|~subset(X1,X2)|member(X0,X2))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.95 fof(f24,plain,(
% 0.13/0.95 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.95 fof(f25,plain,(
% 0.13/0.95 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.95 fof(f35,plain,(
% 0.13/0.95 ![X0,X1,X2]: (member(h(X0,X1,X2),X2)|intersection(X0,X1,X2)|member(h(X0,X1,X2),X0))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.95 fof(f36,plain,(
% 0.13/0.95 ![X0,X1,X2]: (member(h(X0,X1,X2),X2)|intersection(X0,X1,X2)|member(h(X0,X1,X2),X1))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.95 fof(f37,plain,(
% 0.13/0.95 ![X0,X1,X2]: (~member(h(X0,X1,X2),X2)|~member(h(X0,X1,X2),X1)|~member(h(X0,X1,X2),X0)|intersection(X0,X1,X2))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.95 fof(f38,plain,(
% 0.13/0.95 ![Set1,Element]: ((![Difference]: ((![Set2]: ~difference(Set1,Set2,Difference))|~member(Element,Difference)))|member(Element,Set1))),
% 0.13/0.95 inference(miniscoping,[status(thm)],[f13])).
% 0.13/0.95 fof(f39,plain,(
% 0.13/0.95 ![X0,X1,X2,X3]: (~difference(X0,X1,X2)|~member(X3,X2)|member(X3,X0))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.95 fof(f40,plain,(
% 0.13/0.95 ![Set1,Set2]: ((![Element]: (~member(Element,Set1)|~member(Element,Set2)))|(![A_set]: ~difference(A_set,Set1,Set2)))),
% 0.13/0.95 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.95 fof(f41,plain,(
% 0.13/0.95 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X0,X2)|~difference(X3,X1,X2))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.95 fof(f42,plain,(
% 0.13/0.95 ![Element,Set2]: ((![Difference]: ((![Set1]: (~member(Element,Set1)|~difference(Set1,Set2,Difference)))|member(Element,Difference)))|member(Element,Set2))),
% 0.13/0.95 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.95 fof(f43,plain,(
% 0.13/0.95 ![X0,X1,X2,X3]: (~member(X0,X1)|~difference(X1,X2,X3)|member(X0,X3)|member(X0,X2))),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.95 fof(f47,plain,(
% 0.13/0.95 difference(a,b,aDb)),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.95 fof(f48,plain,(
% 0.13/0.95 difference(a,aDb,aD_aDb)),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.95 fof(f49,plain,(
% 0.13/0.95 ~intersection(a,b,aD_aDb)),
% 0.13/0.95 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.95 fof(f64,plain,(
% 0.13/0.95 ![X0]: (~member(X0,aDb)|~member(X0,aD_aDb))),
% 0.13/0.95 inference(resolution,[status(thm)],[f41,f48])).
% 0.13/0.95 fof(f65,plain,(
% 0.13/0.95 ![X0]: (~member(X0,b)|~member(X0,aDb))),
% 0.13/0.95 inference(resolution,[status(thm)],[f41,f47])).
% 0.13/0.95 fof(f74,plain,(
% 0.13/0.95 ![X0]: (subset(aD_aDb,X0)|~member(member_of_1_not_of_2(aD_aDb,X0),aDb))),
% 0.13/0.95 inference(resolution,[status(thm)],[f24,f64])).
% 0.13/0.95 fof(f77,plain,(
% 0.13/0.95 ![X0]: (~member(X0,aD_aDb)|member(X0,a))),
% 0.13/0.95 inference(resolution,[status(thm)],[f39,f48])).
% 0.13/0.95 fof(f88,plain,(
% 0.13/0.95 ![X0]: (member(member_of_1_not_of_2(aD_aDb,X0),a)|subset(aD_aDb,X0))),
% 0.13/0.95 inference(resolution,[status(thm)],[f77,f24])).
% 0.13/0.95 fof(f96,plain,(
% 0.13/0.95 ![X0,X1]: (member(h(X0,X1,aD_aDb),a)|intersection(X0,X1,aD_aDb)|member(h(X0,X1,aD_aDb),X0))),
% 0.13/0.95 inference(resolution,[status(thm)],[f77,f35])).
% 0.13/0.95 fof(f169,plain,(
% 0.13/0.95 ![X0]: (~member(X0,a)|member(X0,aD_aDb)|member(X0,aDb))),
% 0.13/0.95 inference(resolution,[status(thm)],[f43,f48])).
% 0.13/0.95 fof(f170,plain,(
% 0.13/0.95 ![X0]: (~member(X0,a)|member(X0,aDb)|member(X0,b))),
% 0.13/0.95 inference(resolution,[status(thm)],[f43,f47])).
% 0.13/0.95 fof(f209,plain,(
% 0.13/0.95 ![X0,X1]: (member(h(a,X0,X1),aD_aDb)|member(h(a,X0,X1),aDb)|member(h(a,X0,X1),X1)|intersection(a,X0,X1))),
% 0.13/0.95 inference(resolution,[status(thm)],[f169,f35])).
% 0.13/0.95 fof(f248,plain,(
% 0.13/0.95 ![X0]: (member(member_of_1_not_of_2(aD_aDb,X0),aDb)|member(member_of_1_not_of_2(aD_aDb,X0),b)|subset(aD_aDb,X0))),
% 0.13/0.95 inference(resolution,[status(thm)],[f170,f88])).
% 0.13/0.95 fof(f260,plain,(
% 0.13/0.95 ![X0]: (member(member_of_1_not_of_2(aD_aDb,X0),b)|subset(aD_aDb,X0))),
% 0.13/0.95 inference(forward_subsumption_resolution,[status(thm)],[f248,f74])).
% 0.13/0.95 fof(f278,plain,(
% 0.13/0.95 subset(aD_aDb,b)|subset(aD_aDb,b)),
% 0.13/0.95 inference(resolution,[status(thm)],[f260,f25])).
% 0.13/0.95 fof(f279,plain,(
% 0.13/0.95 subset(aD_aDb,b)),
% 0.13/0.95 inference(duplicate_literals_removal,[status(thm)],[f278])).
% 0.13/0.95 fof(f281,plain,(
% 0.13/0.95 ![X0]: (~member(X0,aD_aDb)|member(X0,b))),
% 0.13/0.95 inference(resolution,[status(thm)],[f279,f23])).
% 0.13/0.95 fof(f295,plain,(
% 0.13/0.95 ![X0,X1]: (member(h(X0,X1,aD_aDb),b)|intersection(X0,X1,aD_aDb)|member(h(X0,X1,aD_aDb),X1))),
% 0.13/0.95 inference(resolution,[status(thm)],[f281,f36])).
% 0.13/0.95 fof(f608,plain,(
% 0.13/0.95 ![X0]: (member(h(a,X0,aD_aDb),a)|intersection(a,X0,aD_aDb))),
% 0.13/0.95 inference(factoring,[status(thm)],[f96])).
% 0.13/0.95 fof(f1164,plain,(
% 0.13/0.95 ![X0]: (member(h(a,X0,aD_aDb),aDb)|intersection(a,X0,aD_aDb)|~member(h(a,X0,aD_aDb),X0)|~member(h(a,X0,aD_aDb),a)|intersection(a,X0,aD_aDb))),
% 0.13/0.95 inference(resolution,[status(thm)],[f209,f37])).
% 0.13/0.95 fof(f1186,plain,(
% 0.13/0.95 ![X0]: (member(h(a,X0,aD_aDb),aDb)|intersection(a,X0,aD_aDb)|~member(h(a,X0,aD_aDb),X0)|~member(h(a,X0,aD_aDb),a))),
% 0.13/0.95 inference(duplicate_literals_removal,[status(thm)],[f1164])).
% 0.13/0.95 fof(f1187,plain,(
% 0.13/0.95 ![X0]: (member(h(a,X0,aD_aDb),aDb)|intersection(a,X0,aD_aDb)|~member(h(a,X0,aD_aDb),X0))),
% 0.13/0.95 inference(forward_subsumption_resolution,[status(thm)],[f1186,f608])).
% 0.13/0.95 fof(f1789,plain,(
% 0.13/0.95 ![X0]: (member(h(X0,b,aD_aDb),b)|intersection(X0,b,aD_aDb))),
% 0.13/0.95 inference(factoring,[status(thm)],[f295])).
% 0.13/0.95 fof(f2495,plain,(
% 0.13/0.95 member(h(a,b,aD_aDb),aDb)|intersection(a,b,aD_aDb)|intersection(a,b,aD_aDb)),
% 0.13/0.95 inference(resolution,[status(thm)],[f1187,f295])).
% 0.13/0.95 fof(f2530,plain,(
% 0.13/0.95 member(h(a,b,aD_aDb),aDb)|intersection(a,b,aD_aDb)),
% 0.13/0.95 inference(duplicate_literals_removal,[status(thm)],[f2495])).
% 0.13/0.95 fof(f2531,plain,(
% 0.13/0.95 member(h(a,b,aD_aDb),aDb)),
% 0.13/0.95 inference(forward_subsumption_resolution,[status(thm)],[f2530,f49])).
% 0.13/0.96 fof(f2555,plain,(
% 0.13/0.96 ~member(h(a,b,aD_aDb),b)),
% 0.13/0.96 inference(resolution,[status(thm)],[f2531,f65])).
% 0.13/0.96 fof(f2558,plain,(
% 0.13/0.96 intersection(a,b,aD_aDb)),
% 0.13/0.96 inference(resolution,[status(thm)],[f2555,f1789])).
% 0.13/0.96 fof(f2566,plain,(
% 0.13/0.96 $false),
% 0.13/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2558,f49])).
% 0.13/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.96 % Elapsed time: 0.576929 seconds
% 0.13/0.96 % CPU time: 4.258745 seconds
% 0.13/0.96 % Total memory used: 46.477 MB
% 0.13/0.96 % Net memory used: 42.666 MB
%------------------------------------------------------------------------------