%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET843-2 : 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 : n014.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET843-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:40:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![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)) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![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 ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,axiom,(
% 0.10/0.40 (![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))) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,axiom,(
% 0.10/0.40 (![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))) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,axiom,(
% 0.10/0.40 (![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))) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,axiom,(
% 0.10/0.40 (![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))) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))| v_m != c_Zorn_Osucc(v_S,v_m,t_a) ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)| v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 ![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)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f15,plain,(
% 0.10/0.40 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 ![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))))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f17,plain,(
% 0.10/0.40 ![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))))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 ![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))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.40 fof(f19,plain,(
% 0.10/0.40 ![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))))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.40 fof(f20,plain,(
% 0.10/0.40 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f21,plain,(
% 0.10/0.40 ~v_m=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))|~v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f22,plain,(
% 0.10/0.40 v_m=c_Zorn_Osucc(v_S,v_m,t_a)|v_m=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f25,plain,(
% 0.10/0.40 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_m,tc_set(tc_set(t_a)))|v_m=c_Zorn_Osucc(v_S,v_m,t_a))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f22,f11])).
% 0.10/0.40 fof(f26,plain,(
% 0.10/0.40 ![X0]: (c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))|v_m=c_Zorn_Osucc(v_S,v_m,t_a)|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.10/0.40 inference(resolution,[status(thm)],[f25,f16])).
% 0.10/0.40 fof(f29,plain,(
% 0.10/0.40 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))))),
% 0.10/0.40 inference(resolution,[status(thm)],[f14,f17])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~c_lessequals(c_Zorn_Osucc(X0,X1,X2),X1,tc_set(tc_set(X2)))|X1=c_Zorn_Osucc(X0,X1,X2))),
% 0.10/0.40 inference(resolution,[status(thm)],[f13,f15])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(tc_set(X2)))|X1=X0|~c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))|~c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))|~X0=c_Zorn_Osucc(X3,X0,X2))),
% 0.10/0.40 inference(resolution,[status(thm)],[f13,f19])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 v_m=c_Zorn_Osucc(v_S,v_m,t_a)|v_m=c_Zorn_Osucc(v_S,v_m,t_a)|~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f37,f26])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 v_m=c_Zorn_Osucc(v_S,v_m,t_a)|~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.10/0.40 inference(duplicate_literals_removal,[status(thm)],[f40])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 ~v_m=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))|~v_m=v_m),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f50,f21])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f43,f20])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 ~v_m=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f48])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~c_lessequals(X0,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),tc_set(tc_set(X2)))|c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2))=X0|~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~X0=c_Zorn_Osucc(X1,X0,X2))),
% 0.10/0.40 inference(resolution,[status(thm)],[f38,f29])).
% 0.10/0.40 fof(f72,plain,(
% 0.10/0.40 ![X0,X1,X2]: (c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))=X2|~c_in(X2,c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))|~X2=c_Zorn_Osucc(X0,X2,X1))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f69,f11])).
% 0.10/0.40 fof(f75,plain,(
% 0.10/0.40 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))=v_m|~v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.10/0.40 inference(resolution,[status(thm)],[f72,f20])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))=v_m|~v_m=v_m),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f50,f75])).
% 0.10/0.40 fof(f77,plain,(
% 0.10/0.40 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))=v_m),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f76])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f77,f51])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.045859 seconds
% 0.10/0.42 % CPU time: 0.141869 seconds
% 0.10/0.42 % Total memory used: 77.823 MB
% 0.10/0.42 % Net memory used: 77.351 MB
%------------------------------------------------------------------------------