%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET847-2 : 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 : 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 02:12:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET847-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n014.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 05:41:05 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.59 % Drodi V4.1.1
% 0.14/0.63 % Refutation found
% 0.14/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.63 fof(f1,axiom,(
% 0.14/0.63 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f2,axiom,(
% 0.14/0.63 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f3,axiom,(
% 0.14/0.63 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f4,axiom,(
% 0.14/0.63 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f5,axiom,(
% 0.14/0.63 (![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 ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f6,axiom,(
% 0.14/0.63 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f7,axiom,(
% 0.14/0.63 (![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))) ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f8,axiom,(
% 0.14/0.63 (![V_c,V_S,T_a]: (( ~ c_in(V_c,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f9,axiom,(
% 0.14/0.63 (![V_S,T_a]: (( ~ c_in(c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)) = c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a) ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f10,axiom,(
% 0.14/0.63 (![V_c,V_S,T_a]: (( ~ c_in(V_c,c_minus(c_Zorn_Ochain(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))),tc_set(tc_set(T_a)))| c_Zorn_Osucc(V_S,V_c,T_a) != V_c ) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f11,negated_conjecture,(
% 0.14/0.63 (![V_U]: (~ c_in(V_U,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ))),
% 0.14/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.63 fof(f12,plain,(
% 0.14/0.63 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,X3,X2)|c_in(X0,c_minus(X1,X3,tc_set(X2)),X2))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.63 fof(f13,plain,(
% 0.14/0.63 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.63 fof(f14,plain,(
% 0.14/0.63 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.63 fof(f15,plain,(
% 0.14/0.63 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.63 fof(f16,plain,(
% 0.14/0.63 ![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)),
% 0.14/0.63 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.63 fof(f17,plain,(
% 0.14/0.63 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.63 fof(f18,plain,(
% 0.14/0.63 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.63 fof(f19,plain,(
% 0.14/0.63 ![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))))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.63 fof(f20,plain,(
% 0.14/0.63 ![X0,X1,X2]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.63 fof(f21,plain,(
% 0.14/0.63 ![X0,X1]: (~c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))|c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))=c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.63 fof(f22,plain,(
% 0.14/0.63 ![X0,X1,X2]: (~c_in(X0,c_minus(c_Zorn_Ochain(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))|~c_Zorn_Osucc(X1,X0,X2)=X0)),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.63 fof(f23,plain,(
% 0.14/0.63 ![X0]: (~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.14/0.63 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.63 fof(f26,plain,(
% 0.14/0.63 ![X0]: (c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))))),
% 0.14/0.63 inference(resolution,[status(thm)],[f15,f23])).
% 0.14/0.63 fof(f29,plain,(
% 0.14/0.63 ![X0,X1]: (~c_lessequals(X0,c_emptyset,tc_set(X1))|c_emptyset=X0)),
% 0.14/0.63 inference(resolution,[status(thm)],[f17,f14])).
% 0.14/0.63 fof(f31,plain,(
% 0.14/0.63 c_emptyset=c_Zorn_Omaxchain(v_S,t_a)),
% 0.14/0.63 inference(resolution,[status(thm)],[f29,f26])).
% 0.14/0.63 fof(f37,plain,(
% 0.14/0.63 ![X0]: (~c_in(X0,c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))|~c_Zorn_Osucc(v_S,X0,t_a)=X0)),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f31,f22])).
% 0.14/0.63 fof(f41,plain,(
% 0.14/0.63 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))))),
% 0.14/0.63 inference(resolution,[status(thm)],[f19,f18])).
% 0.14/0.63 fof(f47,plain,(
% 0.14/0.63 ![X0,X1]: (c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))=c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1))),
% 0.14/0.63 inference(backward_subsumption_resolution,[status(thm)],[f21,f41])).
% 0.14/0.63 fof(f48,plain,(
% 0.14/0.63 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))))),
% 0.14/0.63 inference(resolution,[status(thm)],[f41,f20])).
% 0.14/0.63 fof(f58,plain,(
% 0.14/0.63 ![X0,X1,X2]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X2,tc_set(tc_set(X1)))|c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),X2,tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))))),
% 0.14/0.63 inference(resolution,[status(thm)],[f48,f12])).
% 0.14/0.63 fof(f70,plain,(
% 0.14/0.63 c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))|~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))),
% 0.14/0.63 inference(resolution,[status(thm)],[f58,f37])).
% 0.14/0.63 fof(f73,plain,(
% 0.14/0.63 c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))|~c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f47,f70])).
% 0.14/0.63 fof(f74,plain,(
% 0.14/0.63 c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f73])).
% 0.14/0.63 fof(f75,plain,(
% 0.14/0.63 $false),
% 0.14/0.63 inference(forward_subsumption_resolution,[status(thm)],[f74,f13])).
% 0.14/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.67 % Elapsed time: 0.077028 seconds
% 0.14/0.67 % CPU time: 0.220665 seconds
% 0.14/0.67 % Total memory used: 81.248 MB
% 0.14/0.67 % Net memory used: 80.800 MB
%------------------------------------------------------------------------------