%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:11:08 PM UTC 2026
% Result : Unsatisfiable 0.04s 5.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/5.51 % Computer : n012.cluster.edu
% 0.04/5.51 % Model : x86_64 x86_64
% 0.04/5.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.51 % Memory : 8046.5625MB
% 0.04/5.51 % OS : Linux 6.8.0-71-generic
% 0.04/5.51 % CPULimit : 300
% 0.04/5.52 % WCLimit : 300
% 0.04/5.52 % DateTime : Mon Sep 21 04:40:57 UTC 2026
% 0.04/5.52 % CPUTime :
% 0.04/5.52 % Drodi V4.1.1
% 0.04/5.53 % Refutation found
% 0.04/5.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/5.53 % SZS output start CNFRefutation for theBenchmark
% 0.04/5.53 fof(f2,axiom,(
% 0.04/5.53 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.04/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/5.53 fof(f3,axiom,(
% 0.04/5.53 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.04/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/5.53 fof(f8,axiom,(
% 0.04/5.53 (![Set1,Set2,Union,Element]: (( ~ union(Set1,Set2,Union)| ~ member(Element,Set1)| member(Element,Union) ) ))),
% 0.04/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/5.53 fof(f13,hypothesis,(
% 0.04/5.53 union(a,a,aUa) ),
% 0.04/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/5.53 fof(f14,negated_conjecture,(
% 0.04/5.53 ~ subset(a,aUa) ),
% 0.04/5.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/5.53 fof(f17,plain,(
% 0.04/5.53 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.04/5.53 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/5.53 fof(f18,plain,(
% 0.04/5.53 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.04/5.53 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/5.53 fof(f24,plain,(
% 0.04/5.53 ![Union,Element]: ((![Set1]: ((![Set2]: ~union(Set1,Set2,Union))|~member(Element,Set1)))|member(Element,Union))),
% 0.04/5.53 inference(miniscoping,[status(thm)],[f8])).
% 0.04/5.53 fof(f25,plain,(
% 0.04/5.53 ![X0,X1,X2,X3]: (~union(X0,X1,X2)|~member(X3,X0)|member(X3,X2))),
% 0.04/5.53 inference(cnf_transformation,[status(thm)],[f24])).
% 0.04/5.53 fof(f31,plain,(
% 0.04/5.53 union(a,a,aUa)),
% 0.04/5.53 inference(cnf_transformation,[status(thm)],[f13])).
% 0.04/5.53 fof(f32,plain,(
% 0.04/5.53 ~subset(a,aUa)),
% 0.04/5.53 inference(cnf_transformation,[status(thm)],[f14])).
% 0.04/5.53 fof(f33,plain,(
% 0.04/5.53 ![X0]: (~member(X0,a)|member(X0,aUa))),
% 0.04/5.53 inference(resolution,[status(thm)],[f25,f31])).
% 0.04/5.53 fof(f36,plain,(
% 0.04/5.53 ![X0]: (subset(a,X0)|member(member_of_1_not_of_2(a,X0),aUa))),
% 0.04/5.53 inference(resolution,[status(thm)],[f17,f33])).
% 0.04/5.53 fof(f44,plain,(
% 0.04/5.53 subset(a,aUa)|subset(a,aUa)),
% 0.04/5.53 inference(resolution,[status(thm)],[f36,f18])).
% 0.04/5.53 fof(f46,definition,(
% 0.04/5.53 sQ0_spl <=> (subset(a,aUa))),
% 0.04/5.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.04/5.53 fof(f47,plain,(
% 0.04/5.53 subset(a,aUa)|~sQ0_spl),
% 0.04/5.53 inference(component_clause,[status(thm)],[f46])).
% 0.04/5.53 fof(f49,plain,(
% 0.04/5.53 sQ0_spl),
% 0.04/5.53 inference(split_clause,[status(thm)],[f44,f46])).
% 0.04/5.53 fof(f50,plain,(
% 0.04/5.53 $false|~sQ0_spl),
% 0.04/5.53 inference(forward_subsumption_resolution,[status(thm)],[f47,f32])).
% 0.04/5.53 fof(f51,plain,(
% 0.04/5.53 ~sQ0_spl),
% 0.04/5.53 inference(contradiction_clause,[status(thm)],[f50])).
% 0.04/5.53 fof(f52,plain,(
% 0.04/5.53 $false),
% 0.04/5.53 inference(sat_refutation,[status(thm)],[f49,f51])).
% 0.04/5.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/5.55 % Elapsed time: 0.026716 seconds
% 0.04/5.55 % CPU time: 0.052351 seconds
% 0.04/5.55 % Total memory used: 12.746 MB
% 0.04/5.55 % Net memory used: 12.436 MB
%------------------------------------------------------------------------------