%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:03:27 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.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 : Sun Sep 20 23:24:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,negated_conjecture,(
% 0.15/0.39 ~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,axiom,(
% 0.15/0.39 c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 (![V_b,V_a]: (( ~ c_in(V_b,v_A,t_a)| ~ c_in(V_a,v_A,t_a)| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,V_a,V_b,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,V_a,V_b,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))| c_Tarski_Ointerval(v_r,V_a,V_b,t_a) = c_emptyset ) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,axiom,(
% 0.15/0.39 v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,axiom,(
% 0.15/0.39 c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,axiom,(
% 0.15/0.39 (![V_x]: (( ~ c_in(V_x,v_A,t_a)| c_Tarski_Ointerval(v_r,V_x,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f7,plain,(
% 0.15/0.39 ~c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f8,plain,(
% 0.15/0.39 c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.39 fof(f9,plain,(
% 0.15/0.39 ![X0,X1]: (~c_in(X0,v_A,t_a)|~c_in(X1,v_A,t_a)|c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|c_Tarski_Ointerval(v_r,X1,X0,t_a)=c_emptyset)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.39 fof(f10,plain,(
% 0.15/0.39 v_intY1=c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.39 fof(f11,plain,(
% 0.15/0.39 c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.39 fof(f12,plain,(
% 0.15/0.39 ![X0]: (~c_in(X0,v_A,t_a)|~c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a)=c_emptyset)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f13,plain,(
% 0.15/0.39 ![X0]: (~c_in(X0,v_A,t_a)|c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a)=c_emptyset)),
% 0.15/0.39 inference(resolution,[status(thm)],[f8,f9])).
% 0.15/0.39 fof(f22,plain,(
% 0.15/0.39 c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)=c_emptyset),
% 0.15/0.39 inference(resolution,[status(thm)],[f11,f13])).
% 0.15/0.39 fof(f24,definition,(
% 0.15/0.39 sQ2_spl <=> (c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f25,plain,(
% 0.15/0.39 c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~sQ2_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.15/0.39 fof(f27,definition,(
% 0.15/0.39 sQ3_spl <=> (c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)=c_emptyset)),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f28,plain,(
% 0.15/0.39 c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)=c_emptyset|~sQ3_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f27])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 sQ2_spl|sQ3_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f22,f24,f27])).
% 0.15/0.39 fof(f31,plain,(
% 0.15/0.39 c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~sQ2_spl),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f10,f25])).
% 0.15/0.39 fof(f32,plain,(
% 0.15/0.39 c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~sQ2_spl),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f10,f31])).
% 0.15/0.39 fof(f33,plain,(
% 0.15/0.39 $false|~sQ2_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f32,f7])).
% 0.15/0.39 fof(f34,plain,(
% 0.15/0.39 ~sQ2_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f33])).
% 0.15/0.39 fof(f57,plain,(
% 0.15/0.39 ~c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)|~sQ3_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f12,f28])).
% 0.15/0.39 fof(f59,plain,(
% 0.15/0.39 $false|~sQ3_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f57,f11])).
% 0.15/0.39 fof(f60,plain,(
% 0.15/0.39 ~sQ3_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f59])).
% 0.15/0.39 fof(f61,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f30,f34,f60])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.052636 seconds
% 0.15/0.43 % CPU time: 0.119314 seconds
% 0.15/0.43 % Total memory used: 54.022 MB
% 0.15/0.43 % Net memory used: 53.769 MB
%------------------------------------------------------------------------------