TSTP Solution File: SET864-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 03:37:58 EDT 2022
% Result : Unsatisfiable 0.47s 0.69s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 18 RR)
% Number of literals : 34 ( 6 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( ~ c_in(V_u,V_S,tc_set(T_a))
| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a))
| c_Union(V_c,T_a) = V_u ) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(v_x(V_U),v_S,tc_set(t_a))
| ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(V_U,v_x(V_U),tc_set(t_a))
| ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
cnf(cls_conjecture_5,negated_conjecture,
( V_U != v_x(V_U)
| ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
cnf(refute_0_0,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
inference(subst,[],[cls_conjecture_3:[bind(V_U,$fot(c_Union(v_c,t_a)))]]) ).
cnf(refute_0_1,plain,
c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
inference(resolve,[$cnf( c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) )],[cls_conjecture_2,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)) ),
inference(subst,[],[cls_conjecture_4:[bind(V_U,$fot(c_Union(v_c,t_a)))]]) ).
cnf(refute_0_3,plain,
c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)),
inference(resolve,[$cnf( c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) )],[cls_conjecture_2,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ c_in(v_c,c_Zorn_Omaxchain(X_4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Union(v_c,t_a)),X_4,tc_set(t_a))
| ~ c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a))
| c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
inference(subst,[],[cls_Zorn_Omaxchain__Zorn_0:[bind(T_a,$fot(t_a)),bind(V_S,$fot(X_4)),bind(V_c,$fot(v_c)),bind(V_u,$fot(v_x(c_Union(v_c,t_a))))]]) ).
cnf(refute_0_5,plain,
( ~ c_in(v_c,c_Zorn_Omaxchain(X_4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Union(v_c,t_a)),X_4,tc_set(t_a))
| c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
inference(resolve,[$cnf( c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a))
| ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
inference(subst,[],[cls_conjecture_5:[bind(V_U,$fot(c_Union(v_c,t_a)))]]) ).
cnf(refute_0_7,plain,
c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
inference(resolve,[$cnf( c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) )],[cls_conjecture_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ c_in(v_c,c_Zorn_Omaxchain(X_4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Union(v_c,t_a)),X_4,tc_set(t_a)) ),
inference(resolve,[$cnf( $equal(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a))) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
inference(subst,[],[refute_0_8:[bind(X_4,$fot(v_S))]]) ).
cnf(refute_0_10,plain,
~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(resolve,[$cnf( c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) )],[cls_conjecture_0,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 02:38:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.69
% 0.47/0.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.47/0.69
%------------------------------------------------------------------------------