%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET841-1 : 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 : n018.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 02:12:43 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET841-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n018.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 05:42:59 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f310,axiom,(
% 0.11/0.41 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1358,axiom,(
% 0.11/0.41 (![V_n,V_S,T_a,V_m]: (( ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_n,T_a),V_m,tc_set(tc_set(T_a)))| V_n = V_m ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1359,negated_conjecture,(
% 0.11/0.41 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1360,negated_conjecture,(
% 0.11/0.41 v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1361,negated_conjecture,(
% 0.11/0.41 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1362,negated_conjecture,(
% 0.11/0.41 c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1363,negated_conjecture,(
% 0.11/0.41 ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f1782,plain,(
% 0.11/0.41 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f310])).
% 0.11/0.41 fof(f2839,plain,(
% 0.11/0.41 ![V_n,V_m]: ((![V_S,T_a]: (((~c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|~c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))))|~c_lessequals(V_n,V_m,tc_set(tc_set(T_a))))|c_lessequals(c_Zorn_Osucc(V_S,V_n,T_a),V_m,tc_set(tc_set(T_a)))))|V_n=V_m)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f1358])).
% 0.11/0.41 fof(f2840,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(X0,X3,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))|X0=X3)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2839])).
% 0.11/0.41 fof(f2841,plain,(
% 0.11/0.41 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1359])).
% 0.11/0.41 fof(f2842,plain,(
% 0.11/0.41 v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1360])).
% 0.11/0.41 fof(f2843,plain,(
% 0.11/0.41 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1361])).
% 0.11/0.41 fof(f2844,plain,(
% 0.11/0.41 c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1362])).
% 0.11/0.41 fof(f2845,plain,(
% 0.11/0.41 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1363])).
% 0.11/0.41 fof(f2853,definition,(
% 0.11/0.41 sQ1_spl <=> (v_x=v_m)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f2854,plain,(
% 0.11/0.41 v_x=v_m|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f2853])).
% 0.11/0.41 fof(f2857,plain,(
% 0.11/0.41 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(v_x,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))|v_x=X0)),
% 0.11/0.41 inference(resolution,[status(thm)],[f2840,f2843])).
% 0.11/0.41 fof(f2860,plain,(
% 0.11/0.41 ~c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))|v_x=v_m),
% 0.11/0.41 inference(resolution,[status(thm)],[f2857,f2841])).
% 0.11/0.41 fof(f2871,definition,(
% 0.11/0.41 sQ5_spl <=> (c_lessequals(v_x,v_m,tc_set(tc_set(t_a))))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f2873,plain,(
% 0.11/0.41 ~c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))|sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f2871])).
% 0.11/0.41 fof(f2874,definition,(
% 0.11/0.41 sQ6_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f2875,plain,(
% 0.11/0.41 c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))|~sQ6_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f2874])).
% 0.11/0.41 fof(f2877,plain,(
% 0.11/0.41 ~sQ5_spl|sQ6_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f2860,f2871,f2874,f2853])).
% 0.11/0.42 fof(f2878,plain,(
% 0.11/0.42 $false|~sQ6_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2875,f2845])).
% 0.11/0.42 fof(f2879,plain,(
% 0.11/0.42 ~sQ6_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f2878])).
% 0.11/0.42 fof(f2880,plain,(
% 0.11/0.42 $false|sQ5_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2873,f2844])).
% 0.11/0.42 fof(f2881,plain,(
% 0.11/0.42 sQ5_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f2880])).
% 0.11/0.42 fof(f2883,plain,(
% 0.11/0.42 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))|~sQ1_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f2854,f2845])).
% 0.11/0.42 fof(f2886,plain,(
% 0.11/0.42 v_m=c_Zorn_Osucc(v_S,v_x,t_a)|~sQ1_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f2854,f2842])).
% 0.11/0.42 fof(f2887,plain,(
% 0.11/0.42 v_x=c_Zorn_Osucc(v_S,v_x,t_a)|~sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f2854,f2886])).
% 0.11/0.42 fof(f2889,plain,(
% 0.11/0.42 ~c_lessequals(v_x,v_x,tc_set(tc_set(t_a)))|~sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f2887,f2883])).
% 0.11/0.42 fof(f2890,plain,(
% 0.11/0.42 $false|~sQ1_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2889,f1782])).
% 0.11/0.42 fof(f2891,plain,(
% 0.11/0.42 ~sQ1_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f2890])).
% 0.11/0.42 fof(f2892,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(sat_refutation,[status(thm)],[f2877,f2879,f2881,f2891])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46 % Elapsed time: 0.103751 seconds
% 0.11/0.46 % CPU time: 0.242564 seconds
% 0.11/0.46 % Total memory used: 122.848 MB
% 0.11/0.46 % Net memory used: 122.489 MB
%------------------------------------------------------------------------------