%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET864-2 : 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 : n012.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 0.03s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET864-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 05:42:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.32 fof(f1,axiom,(
% 0.03/0.32 (![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 ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f2,negated_conjecture,(
% 0.03/0.32 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f3,negated_conjecture,(
% 0.03/0.32 c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f4,negated_conjecture,(
% 0.03/0.32 (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f5,negated_conjecture,(
% 0.03/0.32 (![V_U]: (( c_lessequals(V_U,v_x(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f6,negated_conjecture,(
% 0.03/0.32 (![V_U]: (( V_U != v_x(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f7,plain,(
% 0.03/0.32 ![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)),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f1])).
% 0.03/0.32 fof(f8,plain,(
% 0.03/0.32 ![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)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.32 fof(f9,plain,(
% 0.03/0.32 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.32 fof(f10,plain,(
% 0.03/0.32 c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.32 fof(f11,plain,(
% 0.03/0.32 ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.32 fof(f12,plain,(
% 0.03/0.32 ![X0]: (c_lessequals(X0,v_x(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.32 fof(f13,plain,(
% 0.03/0.32 ![X0]: (~X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.32 fof(f18,plain,(
% 0.03/0.32 ![X0,X1]: (~c_in(c_Union(X0,t_a),v_S,tc_set(t_a))|~c_in(v_x(c_Union(X0,t_a)),X1,tc_set(t_a))|~c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a)))|c_Union(X0,t_a)=v_x(c_Union(X0,t_a)))),
% 0.03/0.32 inference(resolution,[status(thm)],[f12,f8])).
% 0.03/0.32 fof(f19,plain,(
% 0.03/0.32 ![X0,X1]: (~c_in(c_Union(X0,t_a),v_S,tc_set(t_a))|~c_in(v_x(c_Union(X0,t_a)),X1,tc_set(t_a))|~c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a))))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f18,f13])).
% 0.03/0.32 fof(f20,plain,(
% 0.03/0.32 ![X0]: (~c_in(v_x(c_Union(v_c,t_a)),X0,tc_set(t_a))|~c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a))))),
% 0.03/0.32 inference(resolution,[status(thm)],[f19,f10])).
% 0.03/0.32 fof(f23,plain,(
% 0.03/0.32 ~c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))),
% 0.03/0.32 inference(resolution,[status(thm)],[f20,f9])).
% 0.03/0.32 fof(f24,plain,(
% 0.03/0.32 ~c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))),
% 0.03/0.32 inference(resolution,[status(thm)],[f23,f11])).
% 0.03/0.32 fof(f25,plain,(
% 0.03/0.32 $false),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f24,f10])).
% 0.03/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.33 % Elapsed time: 0.027787 seconds
% 0.03/0.33 % CPU time: 0.065610 seconds
% 0.03/0.33 % Total memory used: 37.373 MB
% 0.03/0.33 % Net memory used: 36.965 MB
%------------------------------------------------------------------------------