%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET845-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.18s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET845-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 05:43:51 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f1,axiom,(
% 0.18/0.47 (![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)) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f2,axiom,(
% 0.18/0.47 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f3,axiom,(
% 0.18/0.47 (![V_x,V_S,T_a]: (c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f4,axiom,(
% 0.18/0.47 (![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))) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f5,negated_conjecture,(
% 0.18/0.47 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f6,negated_conjecture,(
% 0.18/0.47 v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f7,negated_conjecture,(
% 0.18/0.47 v_m != c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f8,plain,(
% 0.18/0.47 ![X0,X1,X2]: (~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.47 fof(f9,plain,(
% 0.18/0.47 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 0.18/0.47 inference(miniscoping,[status(thm)],[f2])).
% 0.18/0.47 fof(f10,plain,(
% 0.18/0.47 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.47 fof(f11,plain,(
% 0.18/0.47 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.47 fof(f12,plain,(
% 0.18/0.47 ![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))))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.47 fof(f13,plain,(
% 0.18/0.47 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.47 fof(f14,plain,(
% 0.18/0.47 v_m=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.47 fof(f15,plain,(
% 0.18/0.47 ~v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.47 fof(f16,plain,(
% 0.18/0.47 ![X0,X1,X2]: (~c_lessequals(c_Zorn_Osucc(X0,X1,X2),X1,tc_set(tc_set(X2)))|c_Zorn_Osucc(X0,X1,X2)=X1)),
% 0.18/0.47 inference(resolution,[status(thm)],[f10,f11])).
% 0.18/0.47 fof(f18,plain,(
% 0.18/0.47 c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.18/0.47 inference(resolution,[status(thm)],[f13,f12])).
% 0.18/0.47 fof(f36,plain,(
% 0.18/0.47 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))),
% 0.18/0.47 inference(resolution,[status(thm)],[f18,f8])).
% 0.18/0.47 fof(f37,plain,(
% 0.18/0.47 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f14,f36])).
% 0.18/0.47 fof(f38,plain,(
% 0.18/0.47 c_Zorn_Osucc(v_S,v_m,t_a)=v_m),
% 0.18/0.47 inference(resolution,[status(thm)],[f37,f16])).
% 0.18/0.47 fof(f41,plain,(
% 0.18/0.47 $false),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f38,f15])).
% 0.18/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 % Elapsed time: 0.048440 seconds
% 0.18/0.50 % CPU time: 0.126904 seconds
% 0.18/0.50 % Total memory used: 22.966 MB
% 0.18/0.50 % Net memory used: 22.808 MB
%------------------------------------------------------------------------------