TSTP Solution File: SET862-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 : Tue Apr 30 20:40:35 EDT 2024
% Result : Unsatisfiable 1.53s 0.82s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.32 % Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.33 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.54 % Computer : n018.cluster.edu
% 0.14/0.54 % Model : x86_64 x86_64
% 0.14/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.54 % Memory : 8042.1875MB
% 0.14/0.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.54 % CPULimit : 300
% 0.14/0.54 % WCLimit : 300
% 0.14/0.54 % DateTime : Mon Apr 29 21:42:28 EDT 2024
% 0.14/0.54 % CPUTime :
% 0.14/0.55 % Drodi V3.6.0
% 1.53/0.82 % Refutation found
% 1.53/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.53/0.82 % SZS output start CNFRefutation for theBenchmark
% 1.53/0.82 fof(f1,axiom,(
% 1.53/0.82 (![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 ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f2,axiom,(
% 1.53/0.82 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f3,axiom,(
% 1.53/0.82 (![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)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f4,axiom,(
% 1.53/0.82 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f5,axiom,(
% 1.53/0.82 (![V_z,V_S,T_a,V_c]: (( ~ c_in(V_z,V_S,tc_set(T_a))| ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| c_in(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_c,tc_set(T_a))| c_in(c_union(c_insert(V_z,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f6,axiom,(
% 1.53/0.82 (![V_z,V_S,T_a,V_c]: (( ~ c_in(V_z,V_S,tc_set(T_a))| ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_z,tc_set(T_a))| c_in(c_union(c_insert(V_z,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f7,axiom,(
% 1.53/0.82 (![V_z,V_x,T_a,V_c,V_S,V_y]: (( ~ c_in(V_z,V_x,T_a)| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| c_in(V_z,V_y,T_a)| c_in(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_c,tc_set(T_a)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f8,axiom,(
% 1.53/0.82 (![V_z,V_x,T_a,V_c,V_S,V_y]: (( ~ c_in(V_z,V_x,T_a)| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_y,tc_set(T_a))| c_in(V_z,V_y,T_a) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f9,negated_conjecture,(
% 1.53/0.82 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f10,negated_conjecture,(
% 1.53/0.82 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f11,negated_conjecture,(
% 1.53/0.82 c_in(v_y,v_S,tc_set(t_a)) ),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f12,negated_conjecture,(
% 1.53/0.82 (![V_U]: (( c_lessequals(V_U,v_y,tc_set(t_a))| ~ c_in(V_U,v_c,tc_set(t_a)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f13,negated_conjecture,(
% 1.53/0.82 (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f14,negated_conjecture,(
% 1.53/0.82 (![V_U]: (( c_lessequals(V_U,v_x(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f15,negated_conjecture,(
% 1.53/0.82 (![V_U]: (( V_U != v_x(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 1.53/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.82 fof(f16,plain,(
% 1.53/0.82 ![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)),
% 1.53/0.82 inference(miniscoping,[status(esa)],[f1])).
% 1.53/0.82 fof(f17,plain,(
% 1.53/0.82 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 1.53/0.82 inference(cnf_transformation,[status(esa)],[f16])).
% 1.53/0.82 fof(f18,plain,(
% 1.53/0.82 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 1.53/0.82 inference(miniscoping,[status(esa)],[f2])).
% 1.53/0.82 fof(f19,plain,(
% 1.53/0.82 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f18])).
% 1.53/0.83 fof(f20,plain,(
% 1.53/0.83 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f3])).
% 1.53/0.83 fof(f21,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f4])).
% 1.53/0.83 fof(f22,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))|c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f5])).
% 1.53/0.83 fof(f23,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))|c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f6])).
% 1.53/0.83 fof(f24,plain,(
% 1.53/0.83 ![T_a,V_c,V_y]: ((![V_z]: ((![V_x,V_S]: ((~c_in(V_z,V_x,T_a)|~c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))))|~c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))))|c_in(V_z,V_y,T_a)))|c_in(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_c,tc_set(T_a)))),
% 1.53/0.83 inference(miniscoping,[status(esa)],[f7])).
% 1.53/0.83 fof(f25,plain,(
% 1.53/0.83 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(X0,X5,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f24])).
% 1.53/0.83 fof(f26,plain,(
% 1.53/0.83 ![V_z,T_a,V_y]: ((![V_c]: ((![V_x,V_S]: ((~c_in(V_z,V_x,T_a)|~c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))))|~c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_y,tc_set(T_a))))|c_in(V_z,V_y,T_a))),
% 1.53/0.83 inference(miniscoping,[status(esa)],[f8])).
% 1.53/0.83 fof(f27,plain,(
% 1.53/0.83 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))|c_in(X0,X5,X2))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f26])).
% 1.53/0.83 fof(f28,plain,(
% 1.53/0.83 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f9])).
% 1.53/0.83 fof(f29,plain,(
% 1.53/0.83 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f10])).
% 1.53/0.83 fof(f30,plain,(
% 1.53/0.83 c_in(v_y,v_S,tc_set(t_a))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f11])).
% 1.53/0.83 fof(f31,plain,(
% 1.53/0.83 ![X0]: (c_lessequals(X0,v_y,tc_set(t_a))|~c_in(X0,v_c,tc_set(t_a)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f12])).
% 1.53/0.83 fof(f32,plain,(
% 1.53/0.83 ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f13])).
% 1.53/0.83 fof(f33,plain,(
% 1.53/0.83 ![X0]: (c_lessequals(X0,v_x(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f14])).
% 1.53/0.83 fof(f34,plain,(
% 1.53/0.83 ![X0]: (~X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(cnf_transformation,[status(esa)],[f15])).
% 1.53/0.83 fof(f39,plain,(
% 1.53/0.83 ![X0]: (~c_lessequals(v_x(X0),X0,tc_set(t_a))|X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f17,f33])).
% 1.53/0.83 fof(f40,plain,(
% 1.53/0.83 ![X0]: (~c_lessequals(v_x(X0),X0,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(forward_subsumption_resolution,[status(thm)],[f39,f34])).
% 1.53/0.83 fof(f41,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f19,f33])).
% 1.53/0.83 fof(f52,plain,(
% 1.53/0.83 ![X0,X1]: (c_lessequals(X0,v_x(X1),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(X1),t_a),X1,t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f21,f41])).
% 1.53/0.83 fof(f56,plain,(
% 1.53/0.83 spl0_1 <=> c_in(v_y,v_S,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f58,plain,(
% 1.53/0.83 ~c_in(v_y,v_S,tc_set(t_a))|spl0_1),
% 1.53/0.83 inference(component_clause,[status(thm)],[f56])).
% 1.53/0.83 fof(f65,plain,(
% 1.53/0.83 $false|spl0_1),
% 1.53/0.83 inference(forward_subsumption_resolution,[status(thm)],[f58,f30])).
% 1.53/0.83 fof(f66,plain,(
% 1.53/0.83 spl0_1),
% 1.53/0.83 inference(contradiction_clause,[status(thm)],[f65])).
% 1.53/0.83 fof(f190,plain,(
% 1.53/0.83 spl0_13 <=> c_in(v_x(v_y),v_S,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f192,plain,(
% 1.53/0.83 ~c_in(v_x(v_y),v_S,tc_set(t_a))|spl0_13),
% 1.53/0.83 inference(component_clause,[status(thm)],[f190])).
% 1.53/0.83 fof(f223,plain,(
% 1.53/0.83 ~c_in(v_y,v_S,tc_set(t_a))|spl0_13),
% 1.53/0.83 inference(resolution,[status(thm)],[f192,f32])).
% 1.53/0.83 fof(f224,plain,(
% 1.53/0.83 ~spl0_1|spl0_13),
% 1.53/0.83 inference(split_clause,[status(thm)],[f223,f56,f190])).
% 1.53/0.83 fof(f627,plain,(
% 1.53/0.83 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|c_in(X0,X5,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2))|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f25,f23])).
% 1.53/0.83 fof(f628,plain,(
% 1.53/0.83 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|c_in(X0,X5,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2))|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f25,f22])).
% 1.53/0.83 fof(f629,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|c_in(X0,X3,t_a)|~c_in(X1,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),v_y,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f627,f31])).
% 1.53/0.83 fof(f632,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|c_in(X0,X3,t_a)|~c_in(X1,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),v_y,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f628,f31])).
% 1.53/0.83 fof(f638,plain,(
% 1.53/0.83 spl0_41 <=> ~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f639,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))|~spl0_41)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f638])).
% 1.53/0.83 fof(f641,plain,(
% 1.53/0.83 spl0_42 <=> c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f643,plain,(
% 1.53/0.83 ~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|spl0_42),
% 1.53/0.83 inference(component_clause,[status(thm)],[f641])).
% 1.53/0.83 fof(f644,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f629,f28])).
% 1.53/0.83 fof(f645,plain,(
% 1.53/0.83 spl0_41|~spl0_42),
% 1.53/0.83 inference(split_clause,[status(thm)],[f644,f638,f641])).
% 1.53/0.83 fof(f646,plain,(
% 1.53/0.83 $false|spl0_42),
% 1.53/0.83 inference(forward_subsumption_resolution,[status(thm)],[f643,f29])).
% 1.53/0.83 fof(f647,plain,(
% 1.53/0.83 spl0_42),
% 1.53/0.83 inference(contradiction_clause,[status(thm)],[f646])).
% 1.53/0.83 fof(f650,plain,(
% 1.53/0.83 spl0_43 <=> ~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f651,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))|~spl0_43)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f650])).
% 1.53/0.83 fof(f653,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f632,f28])).
% 1.53/0.83 fof(f654,plain,(
% 1.53/0.83 spl0_43|~spl0_42),
% 1.53/0.83 inference(split_clause,[status(thm)],[f653,f650,f641])).
% 1.53/0.83 fof(f655,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_43)),
% 1.53/0.83 inference(resolution,[status(thm)],[f651,f31])).
% 1.53/0.83 fof(f804,plain,(
% 1.53/0.83 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))|c_in(X0,X5,X2)|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f27,f23])).
% 1.53/0.83 fof(f805,plain,(
% 1.53/0.83 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))|c_in(X0,X5,X2)|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f27,f22])).
% 1.53/0.83 fof(f810,plain,(
% 1.53/0.83 spl0_62 <=> ~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f811,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|~spl0_62)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f810])).
% 1.53/0.83 fof(f813,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f804,f28])).
% 1.53/0.83 fof(f814,plain,(
% 1.53/0.83 spl0_62|~spl0_42),
% 1.53/0.83 inference(split_clause,[status(thm)],[f813,f810,f641])).
% 1.53/0.83 fof(f816,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),X3,tc_set(t_a))|c_in(X0,X3,t_a)|~c_in(X1,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f805,f31])).
% 1.53/0.83 fof(f852,plain,(
% 1.53/0.83 spl0_70 <=> ~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f853,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|~spl0_70)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f852])).
% 1.53/0.83 fof(f865,plain,(
% 1.53/0.83 spl0_73 <=> ~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X3,t_a),v_y,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f866,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_73)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f865])).
% 1.53/0.83 fof(f870,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X3,t_a),X3,tc_set(t_a))|~spl0_62|~spl0_41)),
% 1.53/0.83 inference(resolution,[status(thm)],[f811,f639])).
% 1.53/0.83 fof(f871,plain,(
% 1.53/0.83 spl0_70|~spl0_62|~spl0_41),
% 1.53/0.83 inference(split_clause,[status(thm)],[f870,f852,f810,f638])).
% 1.53/0.83 fof(f874,plain,(
% 1.53/0.83 spl0_74 <=> ~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f875,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_74)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f874])).
% 1.53/0.83 fof(f877,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a)))),
% 1.53/0.83 inference(resolution,[status(thm)],[f816,f28])).
% 1.53/0.83 fof(f878,plain,(
% 1.53/0.83 spl0_74|~spl0_42),
% 1.53/0.83 inference(split_clause,[status(thm)],[f877,f874,f641])).
% 1.53/0.83 fof(f897,plain,(
% 1.53/0.83 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X3,t_a),v_y,tc_set(t_a))|~spl0_74|~spl0_43)),
% 1.53/0.83 inference(resolution,[status(thm)],[f875,f655])).
% 1.53/0.83 fof(f898,plain,(
% 1.53/0.83 spl0_73|~spl0_74|~spl0_43),
% 1.53/0.83 inference(split_clause,[status(thm)],[f897,f865,f874,f650])).
% 1.53/0.83 fof(f905,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(v_c,X1,t_a),t_a)|c_in(X2,v_y,t_a)|~spl0_73)),
% 1.53/0.83 inference(resolution,[status(thm)],[f866,f19])).
% 1.53/0.83 fof(f960,plain,(
% 1.53/0.83 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,t_a),v_y,t_a)|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,tc_set(t_a))|~spl0_73)),
% 1.53/0.83 inference(resolution,[status(thm)],[f905,f20])).
% 1.53/0.83 fof(f998,plain,(
% 1.53/0.83 spl0_92 <=> ~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f999,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~spl0_92)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f998])).
% 1.53/0.83 fof(f1001,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~c_in(v_y,v_S,tc_set(t_a))|~spl0_73)),
% 1.53/0.83 inference(resolution,[status(thm)],[f960,f52])).
% 1.53/0.83 fof(f1002,plain,(
% 1.53/0.83 spl0_92|~spl0_1|~spl0_73),
% 1.53/0.83 inference(split_clause,[status(thm)],[f1001,f998,f56,f865])).
% 1.53/0.83 fof(f1012,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~spl0_92)),
% 1.53/0.83 inference(duplicate_literals_removal,[status(esa)],[f999])).
% 1.53/0.83 fof(f1013,plain,(
% 1.53/0.83 spl0_93 <=> ~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)),
% 1.53/0.83 introduced(split_symbol_definition)).
% 1.53/0.83 fof(f1014,plain,(
% 1.53/0.83 ![X0]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~spl0_93)),
% 1.53/0.83 inference(component_clause,[status(thm)],[f1013])).
% 1.53/0.83 fof(f1016,plain,(
% 1.53/0.83 ![X0,X1]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~c_in(v_x(v_y),v_S,tc_set(t_a))|~c_in(X1,v_x(v_y),t_a)|c_in(X1,v_y,t_a)|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_92|~spl0_70)),
% 2.16/0.84 inference(resolution,[status(thm)],[f1012,f853])).
% 2.16/0.84 fof(f1017,plain,(
% 2.16/0.84 spl0_93|~spl0_13|~spl0_92|~spl0_70),
% 2.16/0.84 inference(split_clause,[status(thm)],[f1016,f1013,f190,f998,f852])).
% 2.16/0.84 fof(f1026,plain,(
% 2.16/0.84 ![X0]: (c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a))|~spl0_93)),
% 2.16/0.84 inference(resolution,[status(thm)],[f1014,f20])).
% 2.16/0.84 fof(f1069,plain,(
% 2.16/0.84 spl0_103 <=> c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 2.16/0.84 introduced(split_symbol_definition)).
% 2.16/0.84 fof(f1070,plain,(
% 2.16/0.84 c_lessequals(v_x(v_y),v_y,tc_set(t_a))|~spl0_103),
% 2.16/0.84 inference(component_clause,[status(thm)],[f1069])).
% 2.16/0.84 fof(f1072,plain,(
% 2.16/0.84 c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))|~spl0_93),
% 2.16/0.84 inference(resolution,[status(thm)],[f1026,f21])).
% 2.16/0.84 fof(f1073,plain,(
% 2.16/0.84 spl0_103|~spl0_93),
% 2.16/0.84 inference(split_clause,[status(thm)],[f1072,f1069,f1013])).
% 2.16/0.84 fof(f1074,plain,(
% 2.16/0.84 ~c_in(v_y,v_S,tc_set(t_a))|~spl0_103),
% 2.16/0.84 inference(resolution,[status(thm)],[f1070,f40])).
% 2.16/0.84 fof(f1075,plain,(
% 2.16/0.84 ~spl0_1|~spl0_103),
% 2.16/0.84 inference(split_clause,[status(thm)],[f1074,f56,f1069])).
% 2.16/0.84 fof(f1084,plain,(
% 2.16/0.84 $false),
% 2.16/0.84 inference(sat_refutation,[status(thm)],[f66,f224,f645,f647,f654,f814,f871,f878,f898,f1002,f1017,f1073,f1075])).
% 2.16/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 2.16/0.84 % Elapsed time: 0.288023 seconds
% 2.16/0.84 % CPU time: 2.155422 seconds
% 2.16/0.84 % Total memory used: 107.175 MB
% 2.16/0.84 % Net memory used: 106.163 MB
%------------------------------------------------------------------------------