%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET852-2 : 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 : 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 02:12:45 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET852-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n015.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 05:44:37 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.07/0.35 % Refutation found
% 0.07/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.35 fof(f1,negated_conjecture,(
% 0.07/0.35 ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
% 0.07/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f2,negated_conjecture,(
% 0.07/0.35 ~ 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))) ),
% 0.07/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f3,negated_conjecture,(
% 0.07/0.35 (![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))) ) ))),
% 0.07/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f4,axiom,(
% 0.07/0.35 (![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)) ) ))),
% 0.07/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f5,axiom,(
% 0.07/0.35 (![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)) ) ))),
% 0.07/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f6,axiom,(
% 0.07/0.35 (![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)) ) ))),
% 0.07/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f7,plain,(
% 0.07/0.35 ~c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.35 fof(f8,plain,(
% 0.07/0.35 ~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)))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.35 fof(f9,plain,(
% 0.07/0.35 ![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))))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/0.35 fof(f10,plain,(
% 0.07/0.35 ![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)))),
% 0.07/0.35 inference(miniscoping,[status(thm)],[f4])).
% 0.07/0.35 fof(f11,plain,(
% 0.07/0.35 ![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)))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/0.35 fof(f12,plain,(
% 0.07/0.35 ![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)))),
% 0.07/0.35 inference(miniscoping,[status(thm)],[f5])).
% 0.07/0.35 fof(f13,plain,(
% 0.07/0.35 ![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)))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.35 fof(f14,plain,(
% 0.07/0.35 ![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)))),
% 0.07/0.35 inference(miniscoping,[status(thm)],[f6])).
% 0.07/0.35 fof(f15,plain,(
% 0.07/0.35 ![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)))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/0.35 fof(f16,plain,(
% 0.07/0.35 ![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))))),
% 0.07/0.35 inference(resolution,[status(thm)],[f11,f9])).
% 0.07/0.35 fof(f17,plain,(
% 0.07/0.35 ![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_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))))),
% 0.07/0.35 inference(resolution,[status(thm)],[f15,f16])).
% 0.07/0.35 fof(f18,definition,(
% 0.07/0.35 sQ0_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))))),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f19,plain,(
% 0.07/0.35 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)))|~sQ0_spl),
% 0.07/0.35 inference(component_clause,[status(thm)],[f18])).
% 0.07/0.35 fof(f21,definition,(
% 0.07/0.35 ![X0]: (sQ1_spl <=> (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,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)))))),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f22,plain,(
% 0.07/0.35 ![X0]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,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)))|~sQ1_spl)),
% 0.07/0.35 inference(component_clause,[status(thm)],[f21])).
% 0.07/0.35 fof(f24,plain,(
% 0.07/0.35 sQ0_spl|sQ1_spl),
% 0.07/0.35 inference(split_clause,[status(thm)],[f17,f18,f21])).
% 0.07/0.35 fof(f25,plain,(
% 0.07/0.35 $false|~sQ0_spl),
% 0.07/0.35 inference(forward_subsumption_resolution,[status(thm)],[f19,f8])).
% 0.07/0.35 fof(f26,plain,(
% 0.07/0.35 ~sQ0_spl),
% 0.07/0.35 inference(contradiction_clause,[status(thm)],[f25])).
% 0.07/0.35 fof(f27,plain,(
% 0.07/0.35 ![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)))|~sQ1_spl)),
% 0.07/0.35 inference(duplicate_literals_removal,[status(thm)],[f22])).
% 0.07/0.35 fof(f28,plain,(
% 0.07/0.35 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)))|~sQ1_spl),
% 0.07/0.35 inference(resolution,[status(thm)],[f27,f13])).
% 0.07/0.35 fof(f29,definition,(
% 0.07/0.35 sQ2_spl <=> (c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))))),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f30,plain,(
% 0.07/0.35 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~sQ2_spl),
% 0.07/0.35 inference(component_clause,[status(thm)],[f29])).
% 0.07/0.35 fof(f32,plain,(
% 0.07/0.35 sQ2_spl|sQ0_spl|~sQ1_spl),
% 0.07/0.35 inference(split_clause,[status(thm)],[f28,f29,f18,f21])).
% 0.07/0.35 fof(f33,plain,(
% 0.07/0.35 $false|~sQ2_spl),
% 0.07/0.35 inference(forward_subsumption_resolution,[status(thm)],[f30,f7])).
% 0.07/0.35 fof(f34,plain,(
% 0.07/0.35 ~sQ2_spl),
% 0.07/0.35 inference(contradiction_clause,[status(thm)],[f33])).
% 0.07/0.35 fof(f35,plain,(
% 0.07/0.35 $false),
% 0.07/0.35 inference(sat_refutation,[status(thm)],[f24,f26,f32,f34])).
% 0.07/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.023313 seconds
% 0.12/0.37 % CPU time: 0.034580 seconds
% 0.12/0.37 % Total memory used: 1.067 MB
% 0.12/0.37 % Net memory used: 1.057 MB
%------------------------------------------------------------------------------