TSTP Solution File: SET844-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET844-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:21 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET844-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:20:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.41 % Drodi V3.5.1
% 0.21/0.42 % Refutation found
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.42 fof(f310,axiom,(
% 0.21/0.42 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f1363,axiom,(
% 0.21/0.42 (![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))) ) ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f1364,axiom,(
% 0.21/0.42 (![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))) ) ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f1365,negated_conjecture,(
% 0.21/0.42 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f1366,negated_conjecture,(
% 0.21/0.42 v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f1367,negated_conjecture,(
% 0.21/0.42 ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f1786,plain,(
% 0.21/0.42 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f310])).
% 0.21/0.42 fof(f2848,plain,(
% 0.21/0.42 ![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))))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f1363])).
% 0.21/0.42 fof(f2849,plain,(
% 0.21/0.42 ![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))))),
% 0.21/0.42 inference(miniscoping,[status(esa)],[f1364])).
% 0.21/0.42 fof(f2850,plain,(
% 0.21/0.42 ![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))))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f2849])).
% 0.21/0.42 fof(f2851,plain,(
% 0.21/0.42 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f1365])).
% 0.21/0.42 fof(f2852,plain,(
% 0.21/0.42 v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f1366])).
% 0.21/0.42 fof(f2853,plain,(
% 0.21/0.42 ~c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f1367])).
% 0.21/0.42 fof(f2872,plain,(
% 0.21/0.42 spl0_2 <=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f2874,plain,(
% 0.21/0.42 ~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_2),
% 0.21/0.42 inference(component_clause,[status(thm)],[f2872])).
% 0.21/0.42 fof(f2883,plain,(
% 0.21/0.42 spl0_3 <=> ~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)))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f2884,plain,(
% 0.21/0.42 ![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)))|~spl0_3)),
% 0.21/0.42 inference(component_clause,[status(thm)],[f2883])).
% 0.21/0.42 fof(f2886,plain,(
% 0.21/0.42 ![X0]: (~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~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))))),
% 0.21/0.42 inference(resolution,[status(thm)],[f2850,f2852])).
% 0.21/0.42 fof(f2887,plain,(
% 0.21/0.42 ~spl0_2|spl0_3),
% 0.21/0.42 inference(split_clause,[status(thm)],[f2886,f2872,f2883])).
% 0.21/0.42 fof(f2893,plain,(
% 0.21/0.42 $false|spl0_2),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2874,f2851])).
% 0.21/0.42 fof(f2894,plain,(
% 0.21/0.42 spl0_2),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f2893])).
% 0.21/0.42 fof(f2897,plain,(
% 0.21/0.42 ![X0]: (c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))|~spl0_3)),
% 0.21/0.42 inference(resolution,[status(thm)],[f2884,f2848])).
% 0.21/0.42 fof(f2906,plain,(
% 0.21/0.42 c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~spl0_3),
% 0.21/0.42 inference(resolution,[status(thm)],[f2897,f1786])).
% 0.27/0.64 fof(f2907,plain,(
% 0.27/0.64 $false|~spl0_3),
% 0.27/0.64 inference(forward_subsumption_resolution,[status(thm)],[f2906,f2853])).
% 0.27/0.64 fof(f2908,plain,(
% 0.27/0.64 ~spl0_3),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f2907])).
% 0.27/0.64 fof(f2909,plain,(
% 0.27/0.64 $false),
% 0.27/0.64 inference(sat_refutation,[status(thm)],[f2887,f2894,f2908])).
% 0.27/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.64 % Elapsed time: 0.074114 seconds
% 0.27/0.64 % CPU time: 0.080074 seconds
% 0.27/0.64 % Memory used: 6.543 MB
%------------------------------------------------------------------------------