%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET841-2 : 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 : n009.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 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET841-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:41:12 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (![V_n,V_S,T_a,V_m]: (( ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_n,T_a),V_m,tc_set(tc_set(T_a)))| V_n = V_m ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,negated_conjecture,(
% 0.11/0.40 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,negated_conjecture,(
% 0.11/0.40 v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,negated_conjecture,(
% 0.11/0.40 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,plain,(
% 0.11/0.40 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f9,plain,(
% 0.11/0.40 ![V_n,V_m]: ((![V_S,T_a]: (((~c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|~c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))))|~c_lessequals(V_n,V_m,tc_set(tc_set(T_a))))|c_lessequals(c_Zorn_Osucc(V_S,V_n,T_a),V_m,tc_set(tc_set(T_a)))))|V_n=V_m)),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.11/0.40 fof(f10,plain,(
% 0.11/0.40 ![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)))|~c_lessequals(X0,X3,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))|X0=X3)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.40 fof(f11,plain,(
% 0.11/0.40 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f12,plain,(
% 0.11/0.40 v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f13,plain,(
% 0.11/0.40 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f14,plain,(
% 0.11/0.40 c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f15,plain,(
% 0.11/0.40 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f17,plain,(
% 0.11/0.40 ~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))|v_x=v_m),
% 0.11/0.40 inference(resolution,[status(thm)],[f15,f10])).
% 0.11/0.40 fof(f18,plain,(
% 0.11/0.40 ~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))|v_x=v_m),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f17,f13])).
% 0.11/0.40 fof(f19,plain,(
% 0.11/0.40 ~c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))|v_x=v_m),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f18,f11])).
% 0.11/0.40 fof(f20,plain,(
% 0.11/0.40 v_x=v_m),
% 0.11/0.40 inference(resolution,[status(thm)],[f19,f14])).
% 0.11/0.40 fof(f22,plain,(
% 0.11/0.40 ~c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f20,f15])).
% 0.11/0.40 fof(f25,plain,(
% 0.11/0.40 ~c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f12,f22])).
% 0.11/0.40 fof(f26,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f25,f8])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.053996 seconds
% 0.11/0.42 % CPU time: 0.151041 seconds
% 0.11/0.42 % Total memory used: 101.266 MB
% 0.11/0.42 % Net memory used: 100.737 MB
%------------------------------------------------------------------------------