%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT270-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.27s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT270-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 23:27:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.49 % Drodi V4.1.1
% 0.27/0.55 % Refutation found
% 0.27/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.55 fof(f8,axiom,(
% 0.27/0.55 (![V_b,V_a,V_S]: (( ~ c_in(V_b,v_A,t_a)| ~ c_in(V_a,v_A,t_a)| ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))| c_lessequals(V_S,v_A,tc_set(t_a)) ) ))),
% 0.27/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.55 fof(f2752,negated_conjecture,(
% 0.27/0.55 c_in(v_a,v_A,t_a) ),
% 0.27/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.55 fof(f2753,negated_conjecture,(
% 0.27/0.55 c_in(v_b,v_A,t_a) ),
% 0.27/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.55 fof(f2754,negated_conjecture,(
% 0.27/0.55 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.27/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.55 fof(f2758,negated_conjecture,(
% 0.27/0.55 ~ c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.27/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.55 fof(f2772,plain,(
% 0.27/0.55 ![V_S]: ((![V_b,V_a]: ((~c_in(V_b,v_A,t_a)|~c_in(V_a,v_A,t_a))|~c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))))|c_lessequals(V_S,v_A,tc_set(t_a)))),
% 0.27/0.55 inference(miniscoping,[status(thm)],[f8])).
% 0.27/0.55 fof(f2773,plain,(
% 0.27/0.55 ![X0,X1,X2]: (~c_in(X0,v_A,t_a)|~c_in(X1,v_A,t_a)|~c_lessequals(X2,c_Tarski_Ointerval(v_r,X1,X0,t_a),tc_set(t_a))|c_lessequals(X2,v_A,tc_set(t_a)))),
% 0.27/0.55 inference(cnf_transformation,[status(thm)],[f2772])).
% 0.27/0.55 fof(f6137,plain,(
% 0.27/0.55 c_in(v_a,v_A,t_a)),
% 0.27/0.55 inference(cnf_transformation,[status(thm)],[f2752])).
% 0.27/0.55 fof(f6138,plain,(
% 0.27/0.55 c_in(v_b,v_A,t_a)),
% 0.27/0.55 inference(cnf_transformation,[status(thm)],[f2753])).
% 0.27/0.55 fof(f6139,plain,(
% 0.27/0.55 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.27/0.55 inference(cnf_transformation,[status(thm)],[f2754])).
% 0.27/0.55 fof(f6143,plain,(
% 0.27/0.55 ~c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.27/0.55 inference(cnf_transformation,[status(thm)],[f2758])).
% 0.27/0.55 fof(f6250,definition,(
% 0.27/0.55 sQ15_spl <=> (c_in(v_b,v_A,t_a))),
% 0.27/0.55 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.27/0.55 fof(f6252,plain,(
% 0.27/0.55 ~c_in(v_b,v_A,t_a)|sQ15_spl),
% 0.27/0.55 inference(component_clause,[status(thm)],[f6250])).
% 0.27/0.55 fof(f6253,definition,(
% 0.27/0.55 sQ16_spl <=> (c_in(v_a,v_A,t_a))),
% 0.27/0.55 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.27/0.55 fof(f6255,plain,(
% 0.27/0.55 ~c_in(v_a,v_A,t_a)|sQ16_spl),
% 0.27/0.55 inference(component_clause,[status(thm)],[f6253])).
% 0.27/0.55 fof(f6270,plain,(
% 0.27/0.55 $false|sQ16_spl),
% 0.27/0.55 inference(forward_subsumption_resolution,[status(thm)],[f6255,f6137])).
% 0.27/0.55 fof(f6271,plain,(
% 0.27/0.55 sQ16_spl),
% 0.27/0.55 inference(contradiction_clause,[status(thm)],[f6270])).
% 0.27/0.55 fof(f6272,plain,(
% 0.27/0.55 $false|sQ15_spl),
% 0.27/0.55 inference(forward_subsumption_resolution,[status(thm)],[f6252,f6138])).
% 0.27/0.55 fof(f6273,plain,(
% 0.27/0.55 sQ15_spl),
% 0.27/0.55 inference(contradiction_clause,[status(thm)],[f6272])).
% 0.27/0.55 fof(f6274,plain,(
% 0.27/0.55 ~c_in(v_b,v_A,t_a)|~c_in(v_a,v_A,t_a)|c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.27/0.55 inference(resolution,[status(thm)],[f6139,f2773])).
% 0.27/0.55 fof(f6283,definition,(
% 0.27/0.55 sQ18_spl <=> (c_lessequals(v_S,v_A,tc_set(t_a)))),
% 0.27/0.55 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.27/0.55 fof(f6284,plain,(
% 0.27/0.55 c_lessequals(v_S,v_A,tc_set(t_a))|~sQ18_spl),
% 0.27/0.55 inference(component_clause,[status(thm)],[f6283])).
% 0.27/0.55 fof(f6286,plain,(
% 0.27/0.55 ~sQ15_spl|~sQ16_spl|sQ18_spl),
% 0.27/0.55 inference(split_clause,[status(thm)],[f6274,f6250,f6253,f6283])).
% 0.27/0.55 fof(f6291,plain,(
% 0.27/0.55 $false|~sQ18_spl),
% 0.27/0.55 inference(forward_subsumption_resolution,[status(thm)],[f6284,f6143])).
% 0.27/0.55 fof(f6292,plain,(
% 0.27/0.55 ~sQ18_spl),
% 0.27/0.55 inference(contradiction_clause,[status(thm)],[f6291])).
% 0.27/0.55 fof(f6293,plain,(
% 0.27/0.55 $false),
% 0.27/0.55 inference(sat_refutation,[status(thm)],[f6271,f6273,f6286,f6292])).
% 0.27/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.59 % Elapsed time: 0.208553 seconds
% 0.27/0.59 % CPU time: 0.402728 seconds
% 0.27/0.59 % Total memory used: 95.759 MB
% 0.27/0.59 % Net memory used: 95.356 MB
%------------------------------------------------------------------------------