TSTP Solution File: SET850-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET850-2 : 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 03:37:47 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))) ).
cnf(refute_0_0,plain,
c_lessequals(X_5,c_Zorn_Osucc(V_S,X_5,T_a),tc_set(tc_set(T_a))),
inference(subst,[],[cls_Zorn_OAbrial__axiom1_0:[bind(V_x,$fot(X_5))]]) ).
cnf(refute_0_1,plain,
( ~ c_lessequals(X_4,X_5,tc_set(tc_set(T_a)))
| ~ c_lessequals(X_5,c_Zorn_Osucc(V_S,X_5,T_a),tc_set(tc_set(T_a)))
| c_lessequals(X_4,c_Zorn_Osucc(V_S,X_5,T_a),tc_set(tc_set(T_a))) ),
inference(subst,[],[cls_Set_Osubset__trans_0:[bind(T_a,$fot(tc_set(T_a))),bind(V_A,$fot(X_4)),bind(V_B,$fot(X_5)),bind(V_C,$fot(c_Zorn_Osucc(V_S,X_5,T_a)))]]) ).
cnf(refute_0_2,plain,
( ~ c_lessequals(X_4,X_5,tc_set(tc_set(T_a)))
| c_lessequals(X_4,c_Zorn_Osucc(V_S,X_5,T_a),tc_set(tc_set(T_a))) ),
inference(resolve,[$cnf( c_lessequals(X_5,c_Zorn_Osucc(V_S,X_5,T_a),tc_set(tc_set(T_a))) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ c_lessequals(v_x,v_y,tc_set(tc_set(t_a)))
| c_lessequals(v_x,c_Zorn_Osucc(X_28,v_y,t_a),tc_set(tc_set(t_a))) ),
inference(subst,[],[refute_0_2:[bind(T_a,$fot(t_a)),bind(V_S,$fot(X_28)),bind(X_4,$fot(v_x)),bind(X_5,$fot(v_y))]]) ).
cnf(refute_0_4,plain,
c_lessequals(v_x,c_Zorn_Osucc(X_28,v_y,t_a),tc_set(tc_set(t_a))),
inference(resolve,[$cnf( c_lessequals(v_x,v_y,tc_set(tc_set(t_a))) )],[cls_conjecture_0,refute_0_3]) ).
cnf(refute_0_5,plain,
c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
inference(subst,[],[refute_0_4:[bind(X_28,$fot(v_S))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))) )],[refute_0_5,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET850-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 01:38:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------