%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET845-1 : 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 : n003.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 0.93s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET845-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:43:01 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.93/0.76 % Refutation found
% 0.93/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.93/0.76 % SZS output start CNFRefutation for theBenchmark
% 0.93/0.76 fof(f309,axiom,(
% 0.93/0.76 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1360,axiom,(
% 0.93/0.76 (![V_B,V_A,T_a]: (( ~ c_in(V_B,V_A,tc_set(T_a))| c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ) ))),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1361,axiom,(
% 0.93/0.76 (![V_x,V_S,T_a]: (c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ))),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1362,axiom,(
% 0.93/0.76 (![V_x,V_S,T_a]: (( ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1365,negated_conjecture,(
% 0.93/0.76 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1366,negated_conjecture,(
% 0.93/0.76 v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1367,negated_conjecture,(
% 0.93/0.76 v_m != c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.93/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.93/0.76 fof(f1784,plain,(
% 0.93/0.76 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 0.93/0.76 inference(miniscoping,[status(thm)],[f309])).
% 0.93/0.76 fof(f1785,plain,(
% 0.93/0.76 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1784])).
% 0.93/0.76 fof(f2845,plain,(
% 0.93/0.76 ![X0,X1,X2]: (~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1360])).
% 0.93/0.76 fof(f2846,plain,(
% 0.93/0.76 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1361])).
% 0.93/0.76 fof(f2847,plain,(
% 0.93/0.76 ![X0,X1,X2]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))))),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1362])).
% 0.93/0.76 fof(f2851,plain,(
% 0.93/0.76 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1365])).
% 0.93/0.76 fof(f2852,plain,(
% 0.93/0.76 v_m=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1366])).
% 0.93/0.76 fof(f2853,plain,(
% 0.93/0.76 ~v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.93/0.76 inference(cnf_transformation,[status(thm)],[f1367])).
% 0.93/0.76 fof(f2857,plain,(
% 0.93/0.76 c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.93/0.76 inference(resolution,[status(thm)],[f2847,f2851])).
% 0.93/0.76 fof(f2859,plain,(
% 0.93/0.76 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))),
% 0.93/0.76 inference(resolution,[status(thm)],[f2857,f2845])).
% 0.93/0.76 fof(f2861,plain,(
% 0.93/0.76 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.93/0.76 inference(forward_demodulation,[status(thm)],[f2852,f2859])).
% 0.93/0.76 fof(f3655,plain,(
% 0.93/0.76 ~c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))|c_Zorn_Osucc(v_S,v_m,t_a)=v_m),
% 0.93/0.76 inference(resolution,[status(thm)],[f1785,f2861])).
% 0.93/0.76 fof(f3709,definition,(
% 0.93/0.76 sQ41_spl <=> (c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))))),
% 0.93/0.76 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.93/0.76 fof(f3711,plain,(
% 0.93/0.76 ~c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))|sQ41_spl),
% 0.93/0.76 inference(component_clause,[status(thm)],[f3709])).
% 0.93/0.76 fof(f3712,definition,(
% 0.93/0.76 sQ42_spl <=> (c_Zorn_Osucc(v_S,v_m,t_a)=v_m)),
% 0.93/0.76 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.93/0.76 fof(f3713,plain,(
% 0.93/0.76 c_Zorn_Osucc(v_S,v_m,t_a)=v_m|~sQ42_spl),
% 0.93/0.76 inference(component_clause,[status(thm)],[f3712])).
% 0.93/0.76 fof(f3715,plain,(
% 0.93/0.76 ~sQ41_spl|sQ42_spl),
% 0.93/0.76 inference(split_clause,[status(thm)],[f3655,f3709,f3712])).
% 0.93/0.76 fof(f3725,plain,(
% 0.93/0.76 $false|sQ41_spl),
% 0.93/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3711,f2846])).
% 0.93/0.76 fof(f3726,plain,(
% 0.93/0.76 sQ41_spl),
% 2.46/0.79 inference(contradiction_clause,[status(thm)],[f3725])).
% 2.46/0.79 fof(f3727,plain,(
% 2.46/0.79 $false|~sQ42_spl),
% 2.46/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3713,f2853])).
% 2.46/0.79 fof(f3728,plain,(
% 2.46/0.79 ~sQ42_spl),
% 2.46/0.79 inference(contradiction_clause,[status(thm)],[f3727])).
% 2.46/0.79 fof(f3729,plain,(
% 2.46/0.79 $false),
% 2.46/0.79 inference(sat_refutation,[status(thm)],[f3715,f3726,f3728])).
% 2.46/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 2.46/0.79 % Elapsed time: 0.427585 seconds
% 2.46/0.79 % CPU time: 2.821869 seconds
% 2.46/0.79 % Total memory used: 211.564 MB
% 2.46/0.79 % Net memory used: 209.093 MB
%------------------------------------------------------------------------------