%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET848-2 : 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 02:12:44 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET848-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:44:50 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![V_Y,V_S,T_a]: (( ~ c_lessequals(V_Y,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(tc_set(T_a))))| c_in(c_Union(V_Y,tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 (![V_c,V_S,T_a]: (( ~ c_in(V_c,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (![V_c,V_S,T_a]: (( ~ c_in(V_c,c_minus(c_Zorn_Ochain(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))),tc_set(tc_set(T_a)))| c_Zorn_Osucc(V_S,V_c,T_a) != V_c ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,negated_conjecture,(
% 0.12/0.39 ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,X3,X2)|c_in(X0,c_minus(X1,X3,tc_set(X2)),X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f9,plain,(
% 0.12/0.39 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))|c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f12,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_in(X0,c_minus(c_Zorn_Ochain(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))|~c_Zorn_Osucc(X1,X0,X2)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f13,plain,(
% 0.12/0.39 ~c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f10,f9])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f15,f11])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))|c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))|~c_Zorn_Osucc(X1,X0,X2)=X0)),
% 0.12/0.39 inference(resolution,[status(thm)],[f8,f12])).
% 0.12/0.39 fof(f30,plain,(
% 0.12/0.39 ~c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.12/0.39 inference(resolution,[status(thm)],[f25,f13])).
% 0.12/0.39 fof(f32,definition,(
% 0.12/0.39 sQ0_spl <=> (c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ~c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f32])).
% 0.12/0.39 fof(f35,definition,(
% 0.12/0.39 sQ1_spl <=> (c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 ~c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))|sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f35])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f30,f32,f35])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 $false|sQ0_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f34,f17])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f39])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ~c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f14,f37])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 $false|sQ1_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f41])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f42])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f38,f40,f43])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.057540 seconds
% 0.12/0.42 % CPU time: 0.148960 seconds
% 0.12/0.42 % Total memory used: 101.442 MB
% 0.12/0.42 % Net memory used: 100.894 MB
%------------------------------------------------------------------------------