%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET846-1 : 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 : 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 02:12:43 PM UTC 2026
% Result : Unsatisfiable 0.04s 15.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET846-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/15.32 % Computer : n012.cluster.edu
% 0.04/15.32 % Model : x86_64 x86_64
% 0.04/15.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.32 % Memory : 8046.5625MB
% 0.04/15.32 % OS : Linux 6.8.0-71-generic
% 0.04/15.32 % CPULimit : 300
% 0.04/15.32 % WCLimit : 300
% 0.04/15.32 % DateTime : Mon Sep 21 05:41:24 UTC 2026
% 0.04/15.33 % CPUTime :
% 0.04/15.35 % Drodi V4.1.1
% 0.04/15.37 % Refutation found
% 0.04/15.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/15.37 % SZS output start CNFRefutation for theBenchmark
% 0.04/15.37 fof(f310,axiom,(
% 0.04/15.37 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.04/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/15.37 fof(f1360,axiom,(
% 0.04/15.37 (![V_B,V_A,T_a]: (( ~ c_in(V_B,V_A,tc_set(T_a))| c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ) ))),
% 0.04/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/15.37 fof(f1362,axiom,(
% 0.04/15.37 (![V_x,V_S,T_a]: (( ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 0.04/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/15.37 fof(f1363,axiom,(
% 0.04/15.37 (![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))) ) ))),
% 0.04/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/15.37 fof(f1366,negated_conjecture,(
% 0.04/15.37 ~ c_lessequals(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)),tc_set(tc_set(t_a))) ),
% 0.04/15.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/15.37 fof(f1785,plain,(
% 0.04/15.37 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.04/15.37 inference(cnf_transformation,[status(thm)],[f310])).
% 0.04/15.37 fof(f2844,plain,(
% 0.04/15.37 ![X0,X1,X2]: (~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 0.04/15.37 inference(cnf_transformation,[status(thm)],[f1360])).
% 0.04/15.37 fof(f2846,plain,(
% 0.04/15.37 ![X0,X1,X2]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))))),
% 0.04/15.37 inference(cnf_transformation,[status(thm)],[f1362])).
% 0.04/15.37 fof(f2847,plain,(
% 0.04/15.37 ![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))))),
% 0.04/15.37 inference(cnf_transformation,[status(thm)],[f1363])).
% 0.04/15.37 fof(f2851,plain,(
% 0.04/15.37 ~c_lessequals(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)),tc_set(tc_set(t_a)))),
% 0.04/15.37 inference(cnf_transformation,[status(thm)],[f1366])).
% 0.04/15.37 fof(f2854,plain,(
% 0.04/15.37 ~c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.04/15.37 inference(resolution,[status(thm)],[f2844,f2851])).
% 0.04/15.37 fof(f2864,plain,(
% 0.04/15.37 ~c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.04/15.37 inference(resolution,[status(thm)],[f2854,f2846])).
% 0.04/15.37 fof(f2870,plain,(
% 0.04/15.37 ~c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 0.04/15.37 inference(resolution,[status(thm)],[f2847,f2864])).
% 0.04/15.37 fof(f2871,plain,(
% 0.04/15.37 $false),
% 0.04/15.37 inference(forward_subsumption_resolution,[status(thm)],[f2870,f1785])).
% 0.04/15.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/15.40 % Elapsed time: 0.066571 seconds
% 0.07/15.40 % CPU time: 0.170787 seconds
% 0.07/15.40 % Total memory used: 151.660 MB
% 0.07/15.40 % Net memory used: 151.207 MB
%------------------------------------------------------------------------------