%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET865-2 : 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 : n004.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 02:12:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET865-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 05:42:35 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,negated_conjecture,(
% 0.13/0.39 (![V_U]: (( c_in(c_Union(V_U,t_a),v_S,tc_set(t_a))| ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,negated_conjecture,(
% 0.13/0.39 (![V_U]: (( c_lessequals(V_U,v_x(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 (![V_U]: (( V_U != v_x(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![V_S,T_a]: (c_in(c_Zorn_OHausdorff__1(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![V_u,V_S,T_a,V_c]: (( ~ c_in(V_u,V_S,tc_set(T_a))| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a))| c_Union(V_c,T_a) = V_u ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 (![V_S,T_a]: (c_lessequals(c_Zorn_Omaxchain(V_S,T_a),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0]: (c_in(c_Union(X0,t_a),v_S,tc_set(t_a))|~c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0]: (c_lessequals(X0,v_x(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0]: (~X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1]: (c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![V_u,T_a,V_c]: (((![V_S]: (~c_in(V_u,V_S,tc_set(T_a))|~c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))))|~c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a)))|c_Union(V_c,T_a)=V_u)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Union(X3,X2),X0,tc_set(X2))|c_Union(X3,X2)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0,X1]: (c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))|c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f18,f14])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0]: (~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Union(X0,t_a),v_S,tc_set(t_a)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f19,f9])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f15])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 c_lessequals(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),tc_set(t_a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f11])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f10])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ~c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)=v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f12])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0]: (~c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),X0,tc_set(t_a))|~c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))|c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)=v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f22,f17])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0]: (~c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),X0,tc_set(t_a))|~c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a))))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f24])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ~c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f36,f15])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f37,f23])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.053112 seconds
% 0.13/0.43 % CPU time: 0.142857 seconds
% 0.13/0.43 % Total memory used: 44.300 MB
% 0.13/0.43 % Net memory used: 43.815 MB
%------------------------------------------------------------------------------