%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET843-1 : 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 : n018.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 5.38s 1.25s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET843-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:43:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 5.38/1.25 % Refutation found
% 5.38/1.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.38/1.25 % SZS output start CNFRefutation for theBenchmark
% 5.38/1.25 fof(f300,axiom,(
% 5.38/1.25 (![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)) ) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f302,axiom,(
% 5.38/1.25 (![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 ) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f310,axiom,(
% 5.38/1.25 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1360,axiom,(
% 5.38/1.25 (![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)) ) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1361,axiom,(
% 5.38/1.25 (![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))) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1362,axiom,(
% 5.38/1.25 (![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))) ) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1363,axiom,(
% 5.38/1.25 (![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))) ) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1364,axiom,(
% 5.38/1.25 (![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))) ) ))),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1365,negated_conjecture,(
% 5.38/1.25 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1366,negated_conjecture,(
% 5.38/1.25 ( 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) ) ),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1367,negated_conjecture,(
% 5.38/1.25 ( 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)) ) ),
% 5.38/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.38/1.25 fof(f1771,plain,(
% 5.38/1.25 ![X0,X1,X2]: (~c_less(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2)))),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f300])).
% 5.38/1.25 fof(f1773,plain,(
% 5.38/1.25 ![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)),
% 5.38/1.25 inference(miniscoping,[status(thm)],[f302])).
% 5.38/1.25 fof(f1774,plain,(
% 5.38/1.25 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|c_less(X0,X1,tc_set(X2))|X0=X1)),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f1773])).
% 5.38/1.25 fof(f1786,plain,(
% 5.38/1.25 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f310])).
% 5.38/1.25 fof(f2845,plain,(
% 5.38/1.25 ![X0,X1,X2]: (~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f1360])).
% 5.38/1.25 fof(f2846,plain,(
% 5.38/1.25 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f1361])).
% 5.38/1.25 fof(f2847,plain,(
% 5.38/1.25 ![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))))),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f1362])).
% 5.38/1.25 fof(f2848,plain,(
% 5.38/1.25 ![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))))),
% 5.38/1.25 inference(cnf_transformation,[status(thm)],[f1363])).
% 5.38/1.25 fof(f2849,plain,(
% 5.38/1.25 ![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))))),
% 5.38/1.25 inference(miniscoping,[status(thm)],[f1364])).
% 5.38/1.25 fof(f2850,plain,(
% 5.38/1.25 ![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))))),
% 5.38/1.27 inference(cnf_transformation,[status(thm)],[f2849])).
% 5.38/1.27 fof(f2851,plain,(
% 5.38/1.27 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 5.38/1.27 inference(cnf_transformation,[status(thm)],[f1365])).
% 5.38/1.27 fof(f2852,plain,(
% 5.38/1.27 ~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)),
% 5.38/1.27 inference(cnf_transformation,[status(thm)],[f1366])).
% 5.38/1.27 fof(f2853,plain,(
% 5.38/1.27 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))),
% 5.38/1.27 inference(cnf_transformation,[status(thm)],[f1367])).
% 5.38/1.27 fof(f2859,plain,(
% 5.38/1.27 ![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))),
% 5.38/1.27 inference(paramodulation,[status(thm)],[f2853,f2845])).
% 5.38/1.27 fof(f2860,plain,(
% 5.38/1.27 ![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))))),
% 5.38/1.27 inference(resolution,[status(thm)],[f2859,f2847])).
% 5.38/1.27 fof(f4154,plain,(
% 5.38/1.27 ![X0,X1]: (c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))))),
% 5.38/1.27 inference(resolution,[status(thm)],[f1786,f2848])).
% 5.38/1.27 fof(f4378,plain,(
% 5.38/1.27 ![X0,X1,X2]: (c_less(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2)))|X0=c_Zorn_Osucc(X1,X0,X2))),
% 5.38/1.27 inference(resolution,[status(thm)],[f1774,f2846])).
% 5.38/1.27 fof(f4379,plain,(
% 5.38/1.27 ![X0,X1,X2,X3]: (c_less(X0,X1,tc_set(tc_set(X2)))|X0=X1|~c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))|~c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))|~X1=c_Zorn_Osucc(X3,X1,X2))),
% 5.38/1.27 inference(resolution,[status(thm)],[f1774,f2850])).
% 5.38/1.27 fof(f4597,plain,(
% 5.38/1.27 ![X0,X1,X2]: (X0=c_Zorn_Osucc(X1,X0,X2)|~c_lessequals(c_Zorn_Osucc(X1,X0,X2),X0,tc_set(tc_set(X2))))),
% 5.38/1.27 inference(resolution,[status(thm)],[f4378,f1771])).
% 5.38/1.27 fof(f4644,plain,(
% 5.38/1.27 ![X0]: (c_less(X0,v_m,tc_set(tc_set(t_a)))|X0=v_m|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~v_m=c_Zorn_Osucc(v_S,v_m,t_a))),
% 5.38/1.27 inference(resolution,[status(thm)],[f4379,f2851])).
% 5.38/1.27 fof(f4769,plain,(
% 5.38/1.27 c_less(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|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)),
% 5.38/1.27 inference(resolution,[status(thm)],[f4644,f4154])).
% 5.38/1.27 fof(f4774,plain,(
% 5.38/1.27 c_less(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 5.38/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4769,f2852])).
% 5.38/1.27 fof(f4799,plain,(
% 5.38/1.27 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)))),
% 5.38/1.27 inference(resolution,[status(thm)],[f4597,f2860])).
% 5.38/1.27 fof(f4805,plain,(
% 5.38/1.27 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)))),
% 5.38/1.27 inference(duplicate_literals_removal,[status(thm)],[f4799])).
% 5.38/1.27 fof(f4822,plain,(
% 5.38/1.27 c_less(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~v_m=v_m),
% 5.38/1.27 inference(backward_demodulation,[status(thm)],[f4832,f4774])).
% 5.38/1.27 fof(f4832,plain,(
% 5.38/1.27 v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 5.38/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4805,f2851])).
% 5.38/1.27 fof(f4835,plain,(
% 5.38/1.27 c_less(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 5.38/1.27 inference(trivial_equality_resolution,[status(thm)],[f4822])).
% 5.38/1.27 fof(f5174,plain,(
% 5.38/1.27 ~c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))),
% 5.38/1.27 inference(resolution,[status(thm)],[f4835,f1771])).
% 5.38/1.27 fof(f5178,plain,(
% 5.38/1.27 ~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 5.38/1.27 inference(resolution,[status(thm)],[f5174,f2845])).
% 5.38/1.27 fof(f5180,plain,(
% 5.38/1.27 $false),
% 5.38/1.27 inference(forward_subsumption_resolution,[status(thm)],[f5178,f2851])).
% 5.38/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 2.18/1.32 % Elapsed time: 0.943772 seconds
% 2.18/1.32 % CPU time: 6.836625 seconds
% 2.18/1.32 % Total memory used: 260.478 MB
% 2.18/1.32 % Net memory used: 254.058 MB
%------------------------------------------------------------------------------