%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET009-1 : 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 : n005.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 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:41:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (![Element,Subset,Superset]: (( ~ member(Element,Subset)| ~ subset(Subset,Superset)| member(Element,Superset) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,axiom,(
% 0.15/0.40 (![Set1,Set2,Difference,Element]: (( ~ difference(Set1,Set2,Difference)| ~ member(Element,Difference)| member(Element,Set1) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f8,axiom,(
% 0.15/0.40 (![Element,Set1,Set2,A_set]: (( ~ member(Element,Set1)| ~ member(Element,Set2)| ~ difference(A_set,Set1,Set2) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f9,axiom,(
% 0.15/0.41 (![Element,Set1,Set2,Difference]: (( ~ member(Element,Set1)| ~ difference(Set1,Set2,Difference)| member(Element,Difference)| member(Element,Set2) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f13,hypothesis,(
% 0.15/0.41 subset(d,a) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f14,hypothesis,(
% 0.15/0.41 difference(b,a,bDa) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f15,hypothesis,(
% 0.15/0.41 difference(b,d,bDd) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f16,negated_conjecture,(
% 0.15/0.41 ~ subset(bDa,bDd) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f17,plain,(
% 0.15/0.41 ![Element,Superset]: ((![Subset]: (~member(Element,Subset)|~subset(Subset,Superset)))|member(Element,Superset))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.41 fof(f18,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~member(X0,X1)|~subset(X1,X2)|member(X0,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f19,plain,(
% 0.15/0.41 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f20,plain,(
% 0.15/0.41 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f24,plain,(
% 0.15/0.41 ![Set1,Element]: ((![Difference]: ((![Set2]: ~difference(Set1,Set2,Difference))|~member(Element,Difference)))|member(Element,Set1))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f7])).
% 0.15/0.41 fof(f25,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~difference(X0,X1,X2)|~member(X3,X2)|member(X3,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.41 fof(f26,plain,(
% 0.15/0.41 ![Set1,Set2]: ((![Element]: (~member(Element,Set1)|~member(Element,Set2)))|(![A_set]: ~difference(A_set,Set1,Set2)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.15/0.41 fof(f27,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X0,X2)|~difference(X3,X1,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.41 fof(f28,plain,(
% 0.15/0.41 ![Element,Set2]: ((![Difference]: ((![Set1]: (~member(Element,Set1)|~difference(Set1,Set2,Difference)))|member(Element,Difference)))|member(Element,Set2))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f9])).
% 0.15/0.41 fof(f29,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~member(X0,X1)|~difference(X1,X2,X3)|member(X0,X3)|member(X0,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.41 fof(f33,plain,(
% 0.15/0.41 subset(d,a)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.41 fof(f34,plain,(
% 0.15/0.41 difference(b,a,bDa)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 difference(b,d,bDd)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.41 fof(f36,plain,(
% 0.15/0.41 ~subset(bDa,bDd)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.41 fof(f37,plain,(
% 0.15/0.41 ![X0]: (~member(X0,d)|member(X0,a))),
% 0.15/0.41 inference(resolution,[status(thm)],[f33,f18])).
% 0.15/0.41 fof(f66,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~difference(X0,X1,X2)|~member(member_of_1_not_of_2(X3,X0),X2)|subset(X3,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f25,f20])).
% 0.15/0.41 fof(f68,plain,(
% 0.15/0.41 ![X0]: (~member(X0,a)|~member(X0,bDa))),
% 0.15/0.41 inference(resolution,[status(thm)],[f27,f34])).
% 0.15/0.41 fof(f72,plain,(
% 0.15/0.41 ![X0]: (~member(member_of_1_not_of_2(bDa,X0),a)|subset(bDa,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f68,f19])).
% 0.15/0.41 fof(f75,plain,(
% 0.15/0.41 ![X0]: (~member(X0,b)|member(X0,bDd)|member(X0,d))),
% 0.15/0.41 inference(resolution,[status(thm)],[f29,f35])).
% 0.15/0.41 fof(f88,plain,(
% 0.15/0.41 ![X0]: (subset(bDa,X0)|~member(member_of_1_not_of_2(bDa,X0),d))),
% 0.15/0.41 inference(resolution,[status(thm)],[f72,f37])).
% 0.15/0.41 fof(f91,plain,(
% 0.15/0.41 ![X0]: (~member(member_of_1_not_of_2(X0,bDd),b)|member(member_of_1_not_of_2(X0,bDd),d)|subset(X0,bDd))),
% 0.15/0.41 inference(resolution,[status(thm)],[f75,f20])).
% 0.15/0.41 fof(f107,plain,(
% 0.15/0.41 ![X0]: (~member(member_of_1_not_of_2(X0,b),bDa)|subset(X0,b))),
% 0.15/0.41 inference(resolution,[status(thm)],[f66,f34])).
% 0.15/0.41 fof(f136,plain,(
% 0.15/0.41 subset(bDa,b)|subset(bDa,b)),
% 0.15/0.41 inference(resolution,[status(thm)],[f107,f19])).
% 0.15/0.41 fof(f140,definition,(
% 0.15/0.41 sQ6_spl <=> (subset(bDa,b))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f141,plain,(
% 0.15/0.41 subset(bDa,b)|~sQ6_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f140])).
% 0.15/0.41 fof(f143,plain,(
% 0.15/0.41 sQ6_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f136,f140])).
% 0.15/0.41 fof(f146,plain,(
% 0.15/0.41 ![X0]: (~member(X0,bDa)|member(X0,b)|~sQ6_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f141,f18])).
% 0.15/0.41 fof(f160,plain,(
% 0.15/0.41 ![X0]: (member(member_of_1_not_of_2(bDa,X0),b)|subset(bDa,X0)|~sQ6_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f146,f19])).
% 0.15/0.41 fof(f293,plain,(
% 0.15/0.41 member(member_of_1_not_of_2(bDa,bDd),d)|subset(bDa,bDd)|subset(bDa,bDd)|~sQ6_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f91,f160])).
% 0.15/0.41 fof(f298,definition,(
% 0.15/0.41 sQ15_spl <=> (member(member_of_1_not_of_2(bDa,bDd),d))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f299,plain,(
% 0.15/0.41 member(member_of_1_not_of_2(bDa,bDd),d)|~sQ15_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f298])).
% 0.15/0.41 fof(f301,definition,(
% 0.15/0.41 sQ16_spl <=> (subset(bDa,bDd))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f302,plain,(
% 0.15/0.41 subset(bDa,bDd)|~sQ16_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f301])).
% 0.15/0.41 fof(f304,plain,(
% 0.15/0.41 sQ15_spl|sQ16_spl|~sQ6_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f293,f298,f301,f140])).
% 0.15/0.41 fof(f316,plain,(
% 0.15/0.41 $false|~sQ16_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f302,f36])).
% 0.15/0.41 fof(f317,plain,(
% 0.15/0.41 ~sQ16_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f316])).
% 0.15/0.41 fof(f319,plain,(
% 0.15/0.41 subset(bDa,bDd)|~sQ15_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f299,f88])).
% 0.15/0.41 fof(f320,plain,(
% 0.15/0.41 sQ16_spl|~sQ15_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f319,f301,f298])).
% 0.15/0.41 fof(f321,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f143,f304,f317,f320])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.045734 seconds
% 0.15/0.43 % CPU time: 0.163993 seconds
% 0.15/0.43 % Total memory used: 18.329 MB
% 0.15/0.43 % Net memory used: 17.844 MB
%------------------------------------------------------------------------------