%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET844-2 : 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 : n010.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 0.10s 5.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET844-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.56 % Computer : n010.cluster.edu
% 0.10/5.56 % Model : x86_64 x86_64
% 0.10/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.56 % Memory : 8046.5625MB
% 0.10/5.56 % OS : Linux 6.8.0-71-generic
% 0.10/5.57 % CPULimit : 300
% 0.10/5.57 % WCLimit : 300
% 0.10/5.57 % DateTime : Mon Sep 21 05:41:47 UTC 2026
% 0.10/5.57 % CPUTime :
% 0.10/5.58 % Drodi V4.1.1
% 0.10/5.60 % Refutation found
% 0.10/5.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.60 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.60 fof(f1,axiom,(
% 0.10/5.60 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.10/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.60 fof(f2,axiom,(
% 0.10/5.60 (![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))) ) ))),
% 0.10/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.60 fof(f3,axiom,(
% 0.10/5.60 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| V_m != c_Zorn_Osucc(V_S,V_m,T_a)| c_lessequals(V_n,V_m,tc_set(tc_set(T_a))) ) ))),
% 0.10/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.60 fof(f4,negated_conjecture,(
% 0.10/5.60 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.10/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.60 fof(f5,negated_conjecture,(
% 0.10/5.60 v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.10/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.60 fof(f6,negated_conjecture,(
% 0.10/5.60 ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
% 0.10/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.60 fof(f7,plain,(
% 0.10/5.60 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.10/5.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/5.60 fof(f8,plain,(
% 0.10/5.60 ![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))))),
% 0.10/5.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/5.60 fof(f9,plain,(
% 0.10/5.60 ![V_m,T_a,V_n]: ((![V_S]: ((~c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|~c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))))|~V_m=c_Zorn_Osucc(V_S,V_m,T_a)))|c_lessequals(V_n,V_m,tc_set(tc_set(T_a))))),
% 0.10/5.60 inference(miniscoping,[status(thm)],[f3])).
% 0.10/5.60 fof(f10,plain,(
% 0.10/5.60 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~X0=c_Zorn_Osucc(X1,X0,X2)|c_lessequals(X3,X0,tc_set(tc_set(X2))))),
% 0.10/5.60 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/5.60 fof(f11,plain,(
% 0.10/5.60 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.10/5.60 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/5.60 fof(f12,plain,(
% 0.10/5.60 v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.10/5.60 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/5.60 fof(f13,plain,(
% 0.10/5.60 ~c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.10/5.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/5.60 fof(f14,plain,(
% 0.10/5.60 ![X0]: (~c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))|~c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))|~v_m=c_Zorn_Osucc(X0,v_m,t_a))),
% 0.10/5.60 inference(resolution,[status(thm)],[f10,f13])).
% 0.10/5.60 fof(f15,plain,(
% 0.10/5.60 ![X0]: (~c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))|~v_m=c_Zorn_Osucc(X0,v_m,t_a)|~c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(tc_set(t_a)))))),
% 0.10/5.60 inference(resolution,[status(thm)],[f14,f8])).
% 0.10/5.60 fof(f16,plain,(
% 0.10/5.60 ~v_m=c_Zorn_Osucc(v_S,v_m,t_a)|~c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 0.10/5.60 inference(resolution,[status(thm)],[f15,f11])).
% 0.10/5.60 fof(f17,plain,(
% 0.10/5.60 ~v_m=v_m|~c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 0.10/5.60 inference(forward_demodulation,[status(thm)],[f12,f16])).
% 0.10/5.60 fof(f18,plain,(
% 0.10/5.60 ~c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 0.10/5.60 inference(trivial_equality_resolution,[status(thm)],[f17])).
% 0.10/5.60 fof(f19,plain,(
% 0.10/5.60 $false),
% 0.10/5.60 inference(forward_subsumption_resolution,[status(thm)],[f18,f7])).
% 0.10/5.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.62 % Elapsed time: 0.045225 seconds
% 0.13/5.62 % CPU time: 0.126904 seconds
% 0.13/5.62 % Total memory used: 47.762 MB
% 0.13/5.62 % Net memory used: 47.347 MB
%------------------------------------------------------------------------------