%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET852-1 : 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 : n010.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 02:12:45 PM UTC 2026
% Result : Unsatisfiable 14.06s 2.24s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET852-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:41:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.41 % Drodi V4.1.1
% 14.06/2.24 % Refutation found
% 14.06/2.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.06/2.24 % SZS output start CNFRefutation for theBenchmark
% 14.06/2.24 fof(f1358,axiom,(
% 14.06/2.24 (![V_A,V_B,V_C,T_a]: (( c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ))),
% 14.06/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.06/2.24 fof(f1359,axiom,(
% 14.06/2.24 (![V_A,V_B,V_C,T_a]: (( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ))),
% 14.06/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.06/2.24 fof(f1360,axiom,(
% 14.06/2.24 (![V_B,V_A,V_C,T_a]: (( ~ c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ))),
% 14.06/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.06/2.24 fof(f1364,negated_conjecture,(
% 14.06/2.24 ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
% 14.06/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.06/2.24 fof(f1365,negated_conjecture,(
% 14.06/2.24 ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
% 14.06/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.06/2.24 fof(f1366,negated_conjecture,(
% 14.06/2.24 (![V_U]: (( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),V_U,tc_set(tc_set(t_a)))| c_lessequals(V_U,v_m,tc_set(tc_set(t_a)))| ~ c_in(V_U,v_Y,tc_set(tc_set(t_a))) ) ))),
% 14.06/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.06/2.24 fof(f2843,plain,(
% 14.06/2.24 ![V_A,V_C,T_a]: ((![V_B]: (c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))|c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))))|c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)))),
% 14.06/2.24 inference(miniscoping,[status(thm)],[f1358])).
% 14.06/2.24 fof(f2844,plain,(
% 14.06/2.24 ![X0,X1,X2,X3]: (c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3))|c_lessequals(X1,c_Union(X2,X3),tc_set(X3))|c_lessequals(c_Union(X2,X3),X0,tc_set(X3)))),
% 14.06/2.24 inference(cnf_transformation,[status(thm)],[f2843])).
% 14.06/2.24 fof(f2845,plain,(
% 14.06/2.24 ![V_A,V_C,T_a]: ((![V_B]: (~c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))|c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))))|c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)))),
% 14.06/2.24 inference(miniscoping,[status(thm)],[f1359])).
% 14.06/2.24 fof(f2846,plain,(
% 14.06/2.24 ![X0,X1,X2,X3]: (~c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3))|c_lessequals(X1,c_Union(X2,X3),tc_set(X3))|c_lessequals(c_Union(X2,X3),X0,tc_set(X3)))),
% 14.06/2.24 inference(cnf_transformation,[status(thm)],[f2845])).
% 14.06/2.24 fof(f2847,plain,(
% 14.06/2.24 ![V_A,V_C,T_a]: ((![V_B]: (~c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))|c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))))|c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)))),
% 14.06/2.24 inference(miniscoping,[status(thm)],[f1360])).
% 14.06/2.24 fof(f2848,plain,(
% 14.06/2.24 ![X0,X1,X2,X3]: (~c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3))|c_lessequals(X0,c_Union(X2,X3),tc_set(X3))|c_lessequals(c_Union(X2,X3),X1,tc_set(X3)))),
% 14.06/2.24 inference(cnf_transformation,[status(thm)],[f2847])).
% 14.06/2.24 fof(f2853,plain,(
% 14.06/2.24 ~c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 14.06/2.24 inference(cnf_transformation,[status(thm)],[f1364])).
% 14.06/2.24 fof(f2854,plain,(
% 14.06/2.24 ~c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))),
% 14.06/2.24 inference(cnf_transformation,[status(thm)],[f1365])).
% 14.06/2.24 fof(f2855,plain,(
% 14.06/2.24 ![X0]: (c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))|c_lessequals(X0,v_m,tc_set(tc_set(t_a)))|~c_in(X0,v_Y,tc_set(tc_set(t_a))))),
% 14.06/2.24 inference(cnf_transformation,[status(thm)],[f1366])).
% 14.06/2.24 fof(f3464,plain,(
% 14.06/2.24 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))))),
% 14.06/2.24 inference(resolution,[status(thm)],[f2844,f2855])).
% 14.06/2.24 fof(f3989,plain,(
% 14.06/2.24 ![X0]: (c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))))),
% 14.06/2.25 inference(resolution,[status(thm)],[f3464,f2848])).
% 14.06/2.25 fof(f3993,definition,(
% 14.06/2.25 sQ51_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 14.06/2.25 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 14.06/2.25 fof(f3994,plain,(
% 14.06/2.25 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|~sQ51_spl),
% 14.06/2.25 inference(component_clause,[status(thm)],[f3993])).
% 14.06/2.25 fof(f3996,definition,(
% 14.06/2.25 ![X0]: (sQ52_spl <=> (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))))),
% 14.06/2.25 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 14.06/2.25 fof(f3997,plain,(
% 14.06/2.25 ![X0]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|~sQ52_spl)),
% 14.06/2.25 inference(component_clause,[status(thm)],[f3996])).
% 14.06/2.25 fof(f3999,plain,(
% 14.06/2.25 sQ51_spl|sQ52_spl),
% 14.06/2.25 inference(split_clause,[status(thm)],[f3989,f3993,f3996])).
% 14.06/2.25 fof(f4000,plain,(
% 14.06/2.25 ![X0]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~sQ52_spl)),
% 14.06/2.25 inference(duplicate_literals_removal,[status(thm)],[f3997])).
% 14.06/2.25 fof(f5204,plain,(
% 14.06/2.25 $false|~sQ51_spl),
% 14.06/2.25 inference(forward_subsumption_resolution,[status(thm)],[f2854,f3994])).
% 14.06/2.25 fof(f5205,plain,(
% 14.06/2.25 ~sQ51_spl),
% 14.06/2.25 inference(contradiction_clause,[status(thm)],[f5204])).
% 14.06/2.25 fof(f5415,plain,(
% 14.06/2.25 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~sQ52_spl),
% 14.06/2.25 inference(resolution,[status(thm)],[f4000,f2846])).
% 14.06/2.25 fof(f5420,definition,(
% 14.06/2.25 sQ99_spl <=> (c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))))),
% 14.06/2.25 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 14.06/2.25 fof(f5421,plain,(
% 14.06/2.25 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~sQ99_spl),
% 14.06/2.25 inference(component_clause,[status(thm)],[f5420])).
% 14.06/2.25 fof(f5423,plain,(
% 14.06/2.25 sQ99_spl|sQ51_spl|~sQ52_spl),
% 14.06/2.25 inference(split_clause,[status(thm)],[f5415,f5420,f3993,f3996])).
% 14.06/2.25 fof(f5424,plain,(
% 14.06/2.25 $false|~sQ99_spl),
% 14.06/2.25 inference(forward_subsumption_resolution,[status(thm)],[f5421,f2853])).
% 14.06/2.25 fof(f5425,plain,(
% 14.06/2.25 ~sQ99_spl),
% 14.06/2.25 inference(contradiction_clause,[status(thm)],[f5424])).
% 14.06/2.25 fof(f5426,plain,(
% 14.06/2.25 $false),
% 14.06/2.25 inference(sat_refutation,[status(thm)],[f3999,f5205,f5423,f5425])).
% 14.06/2.25 % SZS output end CNFRefutation for theBenchmark.p
% 14.06/2.28 % Elapsed time: 1.908048 seconds
% 14.06/2.28 % CPU time: 14.558215 seconds
% 14.06/2.28 % Total memory used: 375.254 MB
% 14.06/2.28 % Net memory used: 351.604 MB
%------------------------------------------------------------------------------