%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET006-1 : 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 : 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 02:11:08 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 04:39:20 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.49 fof(f2,axiom,(
% 0.17/0.49 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f3,axiom,(
% 0.17/0.49 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f8,axiom,(
% 0.17/0.49 (![Set1,Set2,Intersection,Element]: (( ~ intersection(Set1,Set2,Intersection)| ~ member(Element,Intersection)| member(Element,Set2) ) ))),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f13,hypothesis,(
% 0.17/0.49 intersection(d,a,d) ),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f14,negated_conjecture,(
% 0.17/0.49 ~ subset(d,a) ),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f17,plain,(
% 0.17/0.49 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.49 fof(f18,plain,(
% 0.17/0.49 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.49 fof(f24,plain,(
% 0.17/0.49 ![Set2,Element]: ((![Intersection]: ((![Set1]: ~intersection(Set1,Set2,Intersection))|~member(Element,Intersection)))|member(Element,Set2))),
% 0.17/0.49 inference(miniscoping,[status(thm)],[f8])).
% 0.17/0.49 fof(f25,plain,(
% 0.17/0.49 ![X0,X1,X2,X3]: (~intersection(X0,X1,X2)|~member(X3,X2)|member(X3,X1))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/0.49 fof(f31,plain,(
% 0.17/0.49 intersection(d,a,d)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.49 fof(f32,plain,(
% 0.17/0.49 ~subset(d,a)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.49 fof(f41,plain,(
% 0.17/0.49 ![X0,X1,X2,X3]: (~intersection(X0,X1,X2)|~member(member_of_1_not_of_2(X3,X1),X2)|subset(X3,X1))),
% 0.17/0.49 inference(resolution,[status(thm)],[f25,f18])).
% 0.17/0.49 fof(f45,plain,(
% 0.17/0.49 ![X0]: (~member(member_of_1_not_of_2(X0,a),d)|subset(X0,a))),
% 0.17/0.49 inference(resolution,[status(thm)],[f41,f31])).
% 0.17/0.49 fof(f46,plain,(
% 0.17/0.49 subset(d,a)|subset(d,a)),
% 0.17/0.49 inference(resolution,[status(thm)],[f45,f17])).
% 0.17/0.49 fof(f50,definition,(
% 0.17/0.49 sQ0_spl <=> (subset(d,a))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f51,plain,(
% 0.17/0.49 subset(d,a)|~sQ0_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f50])).
% 0.17/0.49 fof(f53,plain,(
% 0.17/0.49 sQ0_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f46,f50])).
% 0.17/0.49 fof(f54,plain,(
% 0.17/0.49 $false|~sQ0_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f51,f32])).
% 0.17/0.49 fof(f55,plain,(
% 0.17/0.49 ~sQ0_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f54])).
% 0.17/0.49 fof(f56,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(sat_refutation,[status(thm)],[f53,f55])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.51 % Elapsed time: 0.051813 seconds
% 0.17/0.51 % CPU time: 0.051363 seconds
% 0.17/0.51 % Total memory used: 548.000 KB
% 0.17/0.51 % Net memory used: 542.976 KB
%------------------------------------------------------------------------------