%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET846-2 : 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 : n020.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 0.09s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET846-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 05:42:09 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.40 % Refutation found
% 0.09/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.40 fof(f1,axiom,(
% 0.09/5.40 (![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)) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f2,axiom,(
% 0.09/5.40 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f3,axiom,(
% 0.09/5.40 (![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))) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f4,axiom,(
% 0.09/5.40 (![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))) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f5,negated_conjecture,(
% 0.09/5.40 ~ 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))) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f6,plain,(
% 0.09/5.40 ![X0,X1,X2]: (~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.40 fof(f7,plain,(
% 0.09/5.40 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.40 fof(f8,plain,(
% 0.09/5.40 ![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))))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.40 fof(f9,plain,(
% 0.09/5.40 ![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))))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.40 fof(f10,plain,(
% 0.09/5.40 ~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)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.40 fof(f11,plain,(
% 0.09/5.40 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))))),
% 0.09/5.40 inference(resolution,[status(thm)],[f9,f7])).
% 0.09/5.40 fof(f12,plain,(
% 0.09/5.40 ![X0,X1]: (c_in(c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))))),
% 0.09/5.40 inference(resolution,[status(thm)],[f11,f8])).
% 0.09/5.40 fof(f15,plain,(
% 0.09/5.40 ![X0,X1]: (c_lessequals(c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),tc_set(tc_set(X1))))),
% 0.09/5.40 inference(resolution,[status(thm)],[f12,f6])).
% 0.09/5.40 fof(f19,plain,(
% 0.09/5.40 $false),
% 0.09/5.40 inference(backward_subsumption_resolution,[status(thm)],[f10,f15])).
% 0.09/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.42 % Elapsed time: 0.042580 seconds
% 0.14/5.42 % CPU time: 0.123900 seconds
% 0.14/5.42 % Total memory used: 46.784 MB
% 0.14/5.42 % Net memory used: 46.342 MB
%------------------------------------------------------------------------------