TSTP Solution File: SET847-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET847-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 : 600s
% DateTime : Tue Jul 19 03:37:45 EDT 2022
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 52 ( 23 unt; 6 nHn; 35 RR)
% Number of literals : 88 ( 33 equ; 38 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 72 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_ODiffI_0,axiom,
( ~ 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) ) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(V_a,c_emptyset,T_a) ).
cnf(cls_Set_Oempty__subsetI_0,axiom,
c_lessequals(c_emptyset,V_A,tc_set(T_a)) ).
cnf(cls_Set_OsubsetI_0,axiom,
( 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)) ) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| V_A = V_B ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ 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))) ) ).
cnf(cls_Zorn_OTFin__chain__lemma4_0,axiom,
( ~ 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))) ) ).
cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
( ~ 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) ) ).
cnf(cls_Zorn_Osucc__not__equals_0,axiom,
( ~ 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 ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(V_U,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ).
cnf(refute_0_0,plain,
( c_Zorn_Osucc(v_S,X_37,t_a) != X_37
| ~ c_in(X_37,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))) ),
inference(subst,[],[cls_Zorn_Osucc__not__equals_0:[bind(T_a,$fot(t_a)),bind(V_S,$fot(v_S)),bind(V_c,$fot(X_37))]]) ).
cnf(refute_0_1,plain,
~ c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X_9,tc_set(tc_set(t_a))),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X_9,tc_set(tc_set(t_a)))))]]) ).
cnf(refute_0_2,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X_9,tc_set(tc_set(t_a))),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X_9,tc_set(tc_set(tc_set(t_a)))) ),
inference(subst,[],[cls_Set_OsubsetI_0:[bind(T_a,$fot(tc_set(tc_set(t_a)))),bind(V_A,$fot(c_Zorn_Omaxchain(v_S,t_a))),bind(V_B,$fot(X_9))]]) ).
cnf(refute_0_3,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X_9,tc_set(tc_set(tc_set(t_a)))),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X_9,tc_set(tc_set(t_a))),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),
inference(subst,[],[refute_0_3:[bind(X_9,$fot(c_emptyset))]]) ).
cnf(refute_0_5,plain,
c_lessequals(c_emptyset,X_19,tc_set(X_17)),
inference(subst,[],[cls_Set_Oempty__subsetI_0:[bind(T_a,$fot(X_17)),bind(V_A,$fot(X_19))]]) ).
cnf(refute_0_6,plain,
( ~ c_lessequals(X_19,c_emptyset,tc_set(X_17))
| ~ c_lessequals(c_emptyset,X_19,tc_set(X_17))
| c_emptyset = X_19 ),
inference(subst,[],[cls_Set_Osubset__antisym_0:[bind(T_a,$fot(X_17)),bind(V_A,$fot(c_emptyset)),bind(V_B,$fot(X_19))]]) ).
cnf(refute_0_7,plain,
( ~ c_lessequals(X_19,c_emptyset,tc_set(X_17))
| c_emptyset = X_19 ),
inference(resolve,[$cnf( c_lessequals(c_emptyset,X_19,tc_set(X_17)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ c_lessequals(c_Zorn_Omaxchain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a))))
| c_emptyset = c_Zorn_Omaxchain(v_S,t_a) ),
inference(subst,[],[refute_0_7:[bind(X_17,$fot(tc_set(tc_set(t_a)))),bind(X_19,$fot(c_Zorn_Omaxchain(v_S,t_a)))]]) ).
cnf(refute_0_9,plain,
c_emptyset = c_Zorn_Omaxchain(v_S,t_a),
inference(resolve,[$cnf( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( c_emptyset != c_Zorn_Omaxchain(v_S,t_a)
| c_Zorn_Omaxchain(v_S,t_a) = c_emptyset ),
inference(subst,[],[refute_0_12:[bind(X,$fot(c_emptyset)),bind(Y,$fot(c_Zorn_Omaxchain(v_S,t_a)))]]) ).
cnf(refute_0_14,plain,
c_Zorn_Omaxchain(v_S,t_a) = c_emptyset,
inference(resolve,[$cnf( $equal(c_emptyset,c_Zorn_Omaxchain(v_S,t_a)) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
( c_Zorn_Omaxchain(v_S,t_a) != c_emptyset
| ~ c_in(X_37,c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| c_in(X_37,c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
introduced(tautology,[equality,[$cnf( ~ c_in(X_37,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))) ),[1,1],$fot(c_emptyset)]]) ).
cnf(refute_0_16,plain,
( ~ c_in(X_37,c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| c_in(X_37,c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
inference(resolve,[$cnf( $equal(c_Zorn_Omaxchain(v_S,t_a),c_emptyset) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( c_Zorn_Osucc(v_S,X_37,t_a) != X_37
| ~ c_in(X_37,c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
inference(resolve,[$cnf( c_in(X_37,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))) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
( 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))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),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))) ),
inference(subst,[],[refute_0_17:[bind(X_37,$fot(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))))]]) ).
cnf(refute_0_19,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_OTFin(X_30,X_29),tc_set(tc_set(X_29)))
| c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_Ochain(X_30,X_29),tc_set(tc_set(X_29))) ),
inference(subst,[],[cls_Zorn_OTFin__chain__lemma4_0:[bind(T_a,$fot(X_29)),bind(V_S,$fot(X_30)),bind(V_c,$fot(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29))))]]) ).
cnf(refute_0_20,plain,
c_lessequals(c_Zorn_OTFin(X_23,X_22),c_Zorn_OTFin(X_23,X_22),tc_set(tc_set(tc_set(X_22)))),
inference(subst,[],[cls_Set_Osubset__refl_0:[bind(T_a,$fot(tc_set(tc_set(X_22)))),bind(V_A,$fot(c_Zorn_OTFin(X_23,X_22)))]]) ).
cnf(refute_0_21,plain,
( ~ c_lessequals(c_Zorn_OTFin(X_23,X_22),c_Zorn_OTFin(X_23,X_22),tc_set(tc_set(tc_set(X_22))))
| c_in(c_Union(c_Zorn_OTFin(X_23,X_22),tc_set(X_22)),c_Zorn_OTFin(X_23,X_22),tc_set(tc_set(X_22))) ),
inference(subst,[],[cls_Zorn_OTFin__UnionI_0:[bind(T_a,$fot(X_22)),bind(V_S,$fot(X_23)),bind(V_Y,$fot(c_Zorn_OTFin(X_23,X_22)))]]) ).
cnf(refute_0_22,plain,
c_in(c_Union(c_Zorn_OTFin(X_23,X_22),tc_set(X_22)),c_Zorn_OTFin(X_23,X_22),tc_set(tc_set(X_22))),
inference(resolve,[$cnf( c_lessequals(c_Zorn_OTFin(X_23,X_22),c_Zorn_OTFin(X_23,X_22),tc_set(tc_set(tc_set(X_22)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_OTFin(X_30,X_29),tc_set(tc_set(X_29))),
inference(subst,[],[refute_0_22:[bind(X_22,$fot(X_29)),bind(X_23,$fot(X_30))]]) ).
cnf(refute_0_24,plain,
c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_Ochain(X_30,X_29),tc_set(tc_set(X_29))),
inference(resolve,[$cnf( c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_OTFin(X_30,X_29),tc_set(tc_set(X_29))) )],[refute_0_23,refute_0_19]) ).
cnf(refute_0_25,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_Ochain(X_30,X_29),tc_set(tc_set(X_29)))
| c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),X_41,tc_set(tc_set(X_29)))
| c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_minus(c_Zorn_Ochain(X_30,X_29),X_41,tc_set(tc_set(tc_set(X_29)))),tc_set(tc_set(X_29))) ),
inference(subst,[],[cls_Set_ODiffI_0:[bind(T_a,$fot(tc_set(tc_set(X_29)))),bind(V_A,$fot(c_Zorn_Ochain(X_30,X_29))),bind(V_B,$fot(X_41)),bind(V_c,$fot(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29))))]]) ).
cnf(refute_0_26,plain,
( c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),X_41,tc_set(tc_set(X_29)))
| c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_minus(c_Zorn_Ochain(X_30,X_29),X_41,tc_set(tc_set(tc_set(X_29)))),tc_set(tc_set(X_29))) ),
inference(resolve,[$cnf( c_in(c_Union(c_Zorn_OTFin(X_30,X_29),tc_set(X_29)),c_Zorn_Ochain(X_30,X_29),tc_set(tc_set(X_29))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))
| c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),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))) ),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(t_a)),bind(X_30,$fot(v_S)),bind(X_41,$fot(c_emptyset))]]) ).
cnf(refute_0_28,plain,
( c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))) ),
inference(resolve,[$cnf( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),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))) )],[refute_0_27,refute_0_18]) ).
cnf(refute_0_29,plain,
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))),
inference(subst,[],[refute_0_22:[bind(X_22,$fot(T_a)),bind(X_23,$fot(V_S))]]) ).
cnf(refute_0_30,plain,
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),
inference(resolve,[$cnf( c_in(c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) )],[refute_0_29,cls_Zorn_Oequal__succ__Union_1]) ).
cnf(refute_0_31,plain,
( c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)) != c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a)
| c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a) = c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)))),bind(Y,$fot(c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a)))]]) ).
cnf(refute_0_32,plain,
c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a) = c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),
inference(resolve,[$cnf( $equal(c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(subst,[],[refute_0_32:[bind(T_a,$fot(t_a)),bind(V_S,$fot(v_S))]]) ).
cnf(refute_0_34,plain,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))) ),[0,1],$fot(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))]]) ).
cnf(refute_0_35,plain,
( 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))
| 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)) ),
inference(resolve,[$cnf( $equal(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))) ),
inference(resolve,[$cnf( $equal(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))) )],[refute_0_35,refute_0_28]) ).
cnf(refute_0_37,plain,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
introduced(tautology,[refl,[$fot(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))]]) ).
cnf(refute_0_38,plain,
c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))),
inference(resolve,[$cnf( $equal(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))),
inference(subst,[],[cls_Set_OemptyE_0:[bind(T_a,$fot(tc_set(tc_set(t_a)))),bind(V_a,$fot(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))))]]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))) )],[refute_0_38,refute_0_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET847-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 21:08:32 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.38
%------------------------------------------------------------------------------