%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET847-1 : 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 : n013.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 9.30s 11.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET847-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n013.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 05:40:47 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.14/10.43 % Drodi V4.1.1
% 9.30/11.66 % Refutation found
% 9.30/11.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.30/11.66 % SZS output start CNFRefutation for theBenchmark
% 9.30/11.66 fof(f159,axiom,(
% 9.30/11.66 (![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) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f174,axiom,(
% 9.30/11.66 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f299,axiom,(
% 9.30/11.66 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f300,axiom,(
% 9.30/11.66 (![V_A,V_B,T_a]: (( ~ c_less(V_A,V_B,tc_set(T_a))| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f302,axiom,(
% 9.30/11.66 (![V_A,V_B,T_a]: (( ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_less(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f307,axiom,(
% 9.30/11.66 (![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)) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f310,axiom,(
% 9.30/11.66 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1358,axiom,(
% 9.30/11.66 (![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))) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1359,axiom,(
% 9.30/11.66 (![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))) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1360,axiom,(
% 9.30/11.66 (![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))) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1362,axiom,(
% 9.30/11.66 (![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) ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1363,axiom,(
% 9.30/11.66 (![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 ) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1364,negated_conjecture,(
% 9.30/11.66 (![V_U]: (~ c_in(V_U,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ))),
% 9.30/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/11.66 fof(f1580,plain,(
% 9.30/11.66 ![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))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f159])).
% 9.30/11.66 fof(f1604,plain,(
% 9.30/11.66 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f174])).
% 9.30/11.66 fof(f1767,plain,(
% 9.30/11.66 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f299])).
% 9.30/11.66 fof(f1768,plain,(
% 9.30/11.66 ![X0,X1,X2]: (~c_less(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2)))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f300])).
% 9.30/11.66 fof(f1770,plain,(
% 9.30/11.66 ![V_A,V_B]: ((![T_a]: (~c_lessequals(V_A,V_B,tc_set(T_a))|c_less(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 9.30/11.66 inference(miniscoping,[status(thm)],[f302])).
% 9.30/11.66 fof(f1771,plain,(
% 9.30/11.66 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|c_less(X0,X1,tc_set(X2))|X0=X1)),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1770])).
% 9.30/11.66 fof(f1779,plain,(
% 9.30/11.66 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f307])).
% 9.30/11.66 fof(f1783,plain,(
% 9.30/11.66 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f310])).
% 9.30/11.66 fof(f2840,plain,(
% 9.30/11.66 ![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))))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1358])).
% 9.30/11.66 fof(f2841,plain,(
% 9.30/11.66 ![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))))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1359])).
% 9.30/11.66 fof(f2842,plain,(
% 9.30/11.66 ![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))))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1360])).
% 9.30/11.66 fof(f2844,plain,(
% 9.30/11.66 ![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))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1362])).
% 9.30/11.66 fof(f2845,plain,(
% 9.30/11.66 ![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)),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1363])).
% 9.30/11.66 fof(f2846,plain,(
% 9.30/11.66 ![X0]: (~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))))),
% 9.30/11.66 inference(cnf_transformation,[status(thm)],[f1364])).
% 9.30/11.66 fof(f4471,plain,(
% 9.30/11.66 ![X0,X1]: (c_less(c_emptyset,X0,tc_set(X1))|c_emptyset=X0)),
% 9.30/11.66 inference(resolution,[status(thm)],[f1771,f1767])).
% 9.30/11.66 fof(f4481,plain,(
% 9.30/11.66 ![X0,X1]: (c_emptyset=X0|~c_lessequals(X0,c_emptyset,tc_set(X1)))),
% 9.30/11.66 inference(resolution,[status(thm)],[f4471,f1768])).
% 9.30/11.66 fof(f4534,plain,(
% 9.30/11.66 ![X0]: (c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))))),
% 9.30/11.66 inference(resolution,[status(thm)],[f1779,f2846])).
% 9.30/11.66 fof(f4535,plain,(
% 9.30/11.66 c_emptyset=c_Zorn_Omaxchain(v_S,t_a)),
% 9.30/11.66 inference(resolution,[status(thm)],[f4534,f4481])).
% 9.30/11.66 fof(f4540,plain,(
% 9.30/11.66 ![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)),
% 9.30/11.66 inference(paramodulation,[status(thm)],[f4535,f2845])).
% 9.30/11.66 fof(f4614,plain,(
% 9.30/11.66 ![X0]: (~c_Zorn_Osucc(v_S,X0,t_a)=X0|~c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|c_in(X0,c_emptyset,tc_set(tc_set(t_a))))),
% 9.30/11.66 inference(resolution,[status(thm)],[f4540,f1580])).
% 9.30/11.66 fof(f4615,plain,(
% 9.30/11.66 ![X0]: (~c_Zorn_Osucc(v_S,X0,t_a)=X0|~c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 9.30/11.66 inference(forward_subsumption_resolution,[status(thm)],[f4614,f1604])).
% 9.30/11.66 fof(f6222,plain,(
% 9.30/11.66 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_Zorn_Osucc(v_S,X0,t_a)=X0)),
% 9.30/11.66 inference(resolution,[status(thm)],[f2842,f4615])).
% 9.30/11.66 fof(f6234,plain,(
% 9.30/11.66 ![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)|~c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))))),
% 9.30/11.66 inference(resolution,[status(thm)],[f2844,f2841])).
% 9.30/11.66 fof(f6235,plain,(
% 9.30/11.66 ![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))),
% 9.30/11.66 inference(forward_subsumption_resolution,[status(thm)],[f6234,f1783])).
% 9.30/11.66 fof(f6237,plain,(
% 9.30/11.66 ![X0]: (~c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,X0,t_a),t_a)=c_Zorn_Osucc(v_S,X0,t_a)|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 9.30/11.66 inference(resolution,[status(thm)],[f6222,f2840])).
% 9.30/11.66 fof(f6252,plain,(
% 9.30/11.66 ![X0]: (~c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,c_Union(X0,tc_set(t_a)),t_a),t_a)=c_Zorn_Osucc(v_S,c_Union(X0,tc_set(t_a)),t_a)|~c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))))),
% 9.30/11.66 inference(resolution,[status(thm)],[f6237,f2841])).
% 9.30/11.66 fof(f6264,plain,(
% 9.30/11.66 ~c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),t_a)=c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)),
% 9.30/11.66 inference(resolution,[status(thm)],[f6252,f1783])).
% 9.30/11.66 fof(f6286,plain,(
% 9.30/11.66 ~c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),t_a)=c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 9.30/11.66 inference(backward_demodulation,[status(thm)],[f6235,f6264])).
% 9.30/11.66 fof(f6291,plain,(
% 9.30/11.66 ~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))),
% 9.30/11.66 inference(forward_demodulation,[status(thm)],[f6235,f6286])).
% 9.30/11.66 fof(f6292,plain,(
% 9.30/11.66 ~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))),
% 9.30/11.69 inference(forward_demodulation,[status(thm)],[f6235,f6291])).
% 9.30/11.69 fof(f6293,plain,(
% 9.30/11.69 $false),
% 9.30/11.69 inference(trivial_equality_resolution,[status(thm)],[f6292])).
% 9.30/11.69 % SZS output end CNFRefutation for theBenchmark.p
% 1.75/11.75 % Elapsed time: 1.349233 seconds
% 1.75/11.75 % CPU time: 10.025520 seconds
% 1.75/11.75 % Total memory used: 406.453 MB
% 1.75/11.75 % Net memory used: 398.428 MB
%------------------------------------------------------------------------------