TSTP Solution File: SET875+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET875+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 00:14:57 EDT 2022

% Result   : Theorem 7.84s 2.42s
% Output   : CNFRefutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   17 (   6 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,negated_conjecture,
    disjoint(singleton(esk4_0),singleton(esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ak3j9eks/lgb.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    esk5_0 = esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ak3j9eks/lgb.p',i_0_10) ).

cnf(i_0_4,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != singleton(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ak3j9eks/lgb.p',i_0_4) ).

cnf(i_0_6,plain,
    ( ~ in(X1,X2)
    | ~ disjoint(singleton(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ak3j9eks/lgb.p',i_0_6) ).

cnf(c_0_16,negated_conjecture,
    disjoint(singleton(esk4_0),singleton(esk5_0)),
    i_0_11 ).

cnf(c_0_17,negated_conjecture,
    esk5_0 = esk4_0,
    i_0_10 ).

cnf(c_0_18,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != singleton(X3) ),
    i_0_4 ).

cnf(c_0_19,plain,
    ( ~ in(X1,X2)
    | ~ disjoint(singleton(X1),X2) ),
    i_0_6 ).

cnf(c_0_20,negated_conjecture,
    disjoint(singleton(esk4_0),singleton(esk4_0)),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    in(X1,singleton(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET875+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n029.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 00:46:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.84/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.84/2.42  # No SInE strategy applied
% 7.84/2.42  # Trying AutoSched0 for 150 seconds
% 7.84/2.42  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S029N
% 7.84/2.42  # and selection function PSelectNonRROptimalLit.
% 7.84/2.42  #
% 7.84/2.42  # Preprocessing time       : 0.013 s
% 7.84/2.42  # Presaturation interreduction done
% 7.84/2.42  
% 7.84/2.42  # Proof found!
% 7.84/2.42  # SZS status Theorem
% 7.84/2.42  # SZS output start CNFRefutation
% See solution above
% 7.84/2.42  # Training examples: 0 positive, 0 negative
% 7.84/2.42  
% 7.84/2.42  # -------------------------------------------------
% 7.84/2.42  # User time                : 0.014 s
% 7.84/2.42  # System time              : 0.004 s
% 7.84/2.42  # Total time               : 0.017 s
% 7.84/2.42  # Maximum resident set size: 7128 pages
% 7.84/2.42  
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