TSTP Solution File: SET846-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET846-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 03:37:44 EDT 2022
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 22 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 29 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OUnion__upper_0,axiom,
( ~ c_in(V_B,V_A,tc_set(T_a))
| c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)) ).
cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
( ~ 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))) ) ).
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_conjecture_1,negated_conjecture,
~ c_lessequals(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)),tc_set(tc_set(t_a))) ).
cnf(refute_0_0,plain,
( ~ c_in(c_Zorn_Osucc(X_14,c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),X_13),c_Zorn_OTFin(X_14,X_13),tc_set(tc_set(X_13)))
| c_lessequals(c_Zorn_Osucc(X_14,c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),X_13),c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),tc_set(tc_set(X_13))) ),
inference(subst,[],[cls_Set_OUnion__upper_0:[bind(T_a,$fot(tc_set(X_13))),bind(V_A,$fot(c_Zorn_OTFin(X_14,X_13))),bind(V_B,$fot(c_Zorn_Osucc(X_14,c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),X_13)))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(X_12,X_11),tc_set(X_11)),c_Zorn_OTFin(X_12,X_11),tc_set(tc_set(X_11)))
| c_in(c_Zorn_Osucc(X_12,c_Union(c_Zorn_OTFin(X_12,X_11),tc_set(X_11)),X_11),c_Zorn_OTFin(X_12,X_11),tc_set(tc_set(X_11))) ),
inference(subst,[],[cls_Zorn_OTFin_OsuccI_0:[bind(T_a,$fot(X_11)),bind(V_S,$fot(X_12)),bind(V_x,$fot(c_Union(c_Zorn_OTFin(X_12,X_11),tc_set(X_11))))]]) ).
cnf(refute_0_2,plain,
c_lessequals(c_Zorn_OTFin(X_9,X_8),c_Zorn_OTFin(X_9,X_8),tc_set(tc_set(tc_set(X_8)))),
inference(subst,[],[cls_Set_Osubset__refl_0:[bind(T_a,$fot(tc_set(tc_set(X_8)))),bind(V_A,$fot(c_Zorn_OTFin(X_9,X_8)))]]) ).
cnf(refute_0_3,plain,
( ~ c_lessequals(c_Zorn_OTFin(X_9,X_8),c_Zorn_OTFin(X_9,X_8),tc_set(tc_set(tc_set(X_8))))
| c_in(c_Union(c_Zorn_OTFin(X_9,X_8),tc_set(X_8)),c_Zorn_OTFin(X_9,X_8),tc_set(tc_set(X_8))) ),
inference(subst,[],[cls_Zorn_OTFin__UnionI_0:[bind(T_a,$fot(X_8)),bind(V_S,$fot(X_9)),bind(V_Y,$fot(c_Zorn_OTFin(X_9,X_8)))]]) ).
cnf(refute_0_4,plain,
c_in(c_Union(c_Zorn_OTFin(X_9,X_8),tc_set(X_8)),c_Zorn_OTFin(X_9,X_8),tc_set(tc_set(X_8))),
inference(resolve,[$cnf( c_lessequals(c_Zorn_OTFin(X_9,X_8),c_Zorn_OTFin(X_9,X_8),tc_set(tc_set(tc_set(X_8)))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
c_in(c_Union(c_Zorn_OTFin(X_12,X_11),tc_set(X_11)),c_Zorn_OTFin(X_12,X_11),tc_set(tc_set(X_11))),
inference(subst,[],[refute_0_4:[bind(X_8,$fot(X_11)),bind(X_9,$fot(X_12))]]) ).
cnf(refute_0_6,plain,
c_in(c_Zorn_Osucc(X_12,c_Union(c_Zorn_OTFin(X_12,X_11),tc_set(X_11)),X_11),c_Zorn_OTFin(X_12,X_11),tc_set(tc_set(X_11))),
inference(resolve,[$cnf( c_in(c_Union(c_Zorn_OTFin(X_12,X_11),tc_set(X_11)),c_Zorn_OTFin(X_12,X_11),tc_set(tc_set(X_11))) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
c_in(c_Zorn_Osucc(X_14,c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),X_13),c_Zorn_OTFin(X_14,X_13),tc_set(tc_set(X_13))),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_8,plain,
c_lessequals(c_Zorn_Osucc(X_14,c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),X_13),c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),tc_set(tc_set(X_13))),
inference(resolve,[$cnf( c_in(c_Zorn_Osucc(X_14,c_Union(c_Zorn_OTFin(X_14,X_13),tc_set(X_13)),X_13),c_Zorn_OTFin(X_14,X_13),tc_set(tc_set(X_13))) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
c_lessequals(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)),tc_set(tc_set(t_a))),
inference(subst,[],[refute_0_8:[bind(X_13,$fot(t_a)),bind(X_14,$fot(v_S))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( c_lessequals(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)),tc_set(tc_set(t_a))) )],[refute_0_9,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET846-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 04:13:49 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37
% 0.15/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.37
%------------------------------------------------------------------------------