TSTP Solution File: SET064+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 05:23:25 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   1 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ~ equal(skc3,null_class),
    file('SET064+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ member(u,skc3),
    file('SET064+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( equal(u,null_class)
    | member(skf9(u),u) ),
    file('SET064+1.p',unknown),
    [] ).

cnf(96,plain,
    equal(skc3,null_class),
    inference(res,[status(thm),theory(equality)],[21,6]),
    [iquote('0:Res:21.0,6.0')] ).

cnf(119,plain,
    $false,
    inference(mrr,[status(thm)],[96,5]),
    [iquote('0:MRR:96.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 13:56:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.47  
% 0.18/0.47  SPASS V 3.9 
% 0.18/0.47  SPASS beiseite: Proof found.
% 0.18/0.47  % SZS status Theorem
% 0.18/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  SPASS derived 27 clauses, backtracked 0 clauses, performed 0 splits and kept 92 clauses.
% 0.18/0.47  SPASS allocated 98303 KBytes.
% 0.18/0.47  SPASS spent	0:00:00.12 on the problem.
% 0.18/0.47  		0:00:00.03 for the input.
% 0.18/0.47  		0:00:00.06 for the FLOTTER CNF translation.
% 0.18/0.47  		0:00:00.00 for inferences.
% 0.18/0.47  		0:00:00.00 for the backtracking.
% 0.18/0.47  		0:00:00.00 for the reduction.
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  Here is a proof with depth 1, length 5 :
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.47  Formulae used in the proof : null_class_is_unique regularity infinity
% 0.18/0.47  
%------------------------------------------------------------------------------