%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET008-1 : 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 : n008.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 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n008.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 04:42:00 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f10,axiom,(
% 0.14/5.41 (![Set1,Set2,Intersection]: (( member(h(Set1,Set2,Intersection),Intersection)| intersection(Set1,Set2,Intersection)| member(h(Set1,Set2,Intersection),Set1) ) ))),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f11,axiom,(
% 0.14/5.41 (![Set1,Set2,Intersection]: (( member(h(Set1,Set2,Intersection),Intersection)| intersection(Set1,Set2,Intersection)| member(h(Set1,Set2,Intersection),Set2) ) ))),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f14,axiom,(
% 0.14/5.41 (![Element,Set1,Set2,A_set]: (( ~ member(Element,Set1)| ~ member(Element,Set2)| ~ difference(A_set,Set1,Set2) ) ))),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f19,hypothesis,(
% 0.14/5.41 difference(b,a,bDa) ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f20,negated_conjecture,(
% 0.14/5.41 ~ intersection(a,bDa,aI_bDa) ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f21,negated_conjecture,(
% 0.14/5.41 (![A]: (~ member(A,aI_bDa) ))),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f35,plain,(
% 0.14/5.41 ![X0,X1,X2]: (member(h(X0,X1,X2),X2)|intersection(X0,X1,X2)|member(h(X0,X1,X2),X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.41 fof(f36,plain,(
% 0.14/5.41 ![X0,X1,X2]: (member(h(X0,X1,X2),X2)|intersection(X0,X1,X2)|member(h(X0,X1,X2),X1))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/5.41 fof(f40,plain,(
% 0.14/5.41 ![Set1,Set2]: ((![Element]: (~member(Element,Set1)|~member(Element,Set2)))|(![A_set]: ~difference(A_set,Set1,Set2)))),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f14])).
% 0.14/5.41 fof(f41,plain,(
% 0.14/5.41 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X0,X2)|~difference(X3,X1,X2))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/5.41 fof(f47,plain,(
% 0.14/5.41 difference(b,a,bDa)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/5.41 fof(f48,plain,(
% 0.14/5.41 ~intersection(a,bDa,aI_bDa)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/5.41 fof(f49,plain,(
% 0.14/5.41 ![X0]: (~member(X0,aI_bDa))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/5.41 fof(f51,plain,(
% 0.14/5.41 ![X0]: (~member(X0,a)|~member(X0,bDa))),
% 0.14/5.41 inference(resolution,[status(thm)],[f41,f47])).
% 0.14/5.41 fof(f59,plain,(
% 0.14/5.41 ![X0,X1]: (intersection(X0,X1,aI_bDa)|member(h(X0,X1,aI_bDa),X0))),
% 0.14/5.41 inference(resolution,[status(thm)],[f35,f49])).
% 0.14/5.41 fof(f112,plain,(
% 0.14/5.41 ![X0,X1]: (member(h(X0,bDa,X1),X1)|intersection(X0,bDa,X1)|~member(h(X0,bDa,X1),a))),
% 0.14/5.41 inference(resolution,[status(thm)],[f36,f51])).
% 0.14/5.41 fof(f269,plain,(
% 0.14/5.41 member(h(a,bDa,aI_bDa),aI_bDa)|intersection(a,bDa,aI_bDa)|intersection(a,bDa,aI_bDa)),
% 0.14/5.41 inference(resolution,[status(thm)],[f112,f59])).
% 0.14/5.41 fof(f302,definition,(
% 0.14/5.41 sQ25_spl <=> (member(h(a,bDa,aI_bDa),aI_bDa))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f303,plain,(
% 0.14/5.41 member(h(a,bDa,aI_bDa),aI_bDa)|~sQ25_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f302])).
% 0.14/5.41 fof(f305,definition,(
% 0.14/5.41 sQ26_spl <=> (intersection(a,bDa,aI_bDa))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f306,plain,(
% 0.14/5.41 intersection(a,bDa,aI_bDa)|~sQ26_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f305])).
% 0.14/5.41 fof(f308,plain,(
% 0.14/5.41 sQ25_spl|sQ26_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f269,f302,f305])).
% 0.14/5.41 fof(f320,plain,(
% 0.14/5.41 $false|~sQ25_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f303,f49])).
% 0.14/5.41 fof(f321,plain,(
% 0.14/5.41 ~sQ25_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f320])).
% 0.14/5.41 fof(f322,plain,(
% 0.14/5.41 $false|~sQ26_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f306,f48])).
% 0.14/5.41 fof(f323,plain,(
% 0.14/5.41 ~sQ26_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f322])).
% 0.14/5.41 fof(f324,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(sat_refutation,[status(thm)],[f308,f321,f323])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.43 % Elapsed time: 0.040544 seconds
% 0.14/5.43 % CPU time: 0.118226 seconds
% 0.14/5.43 % Total memory used: 10.510 MB
% 0.14/5.43 % Net memory used: 10.310 MB
%------------------------------------------------------------------------------