TSTP Solution File: SET020+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET020+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 00:08:12 EDT 2022

% Result   : Theorem 8.40s 2.44s
% Output   : CNFRefutation 8.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   29 (  14 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
    ( first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))) = X1
    | ~ member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o_h2b961/lgb.p',i_0_30) ).

cnf(i_0_87,negated_conjecture,
    member(esk9_0,universal_class),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o_h2b961/lgb.p',i_0_87) ).

cnf(i_0_88,negated_conjecture,
    member(esk8_0,universal_class),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o_h2b961/lgb.p',i_0_88) ).

cnf(i_0_86,negated_conjecture,
    unordered_pair(unordered_pair(esk8_0,esk8_0),unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))) = esk10_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o_h2b961/lgb.p',i_0_86) ).

cnf(i_0_29,plain,
    ( second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))) = X2
    | ~ member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o_h2b961/lgb.p',i_0_29) ).

cnf(i_0_85,negated_conjecture,
    ( first(esk10_0) != esk8_0
    | second(esk10_0) != esk9_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o_h2b961/lgb.p',i_0_85) ).

cnf(c_0_95,plain,
    ( first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))) = X1
    | ~ member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    i_0_30 ).

cnf(c_0_96,negated_conjecture,
    member(esk9_0,universal_class),
    i_0_87 ).

cnf(c_0_97,negated_conjecture,
    ( first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(esk9_0,esk9_0)))) = X1
    | ~ member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_98,negated_conjecture,
    member(esk8_0,universal_class),
    i_0_88 ).

cnf(c_0_99,negated_conjecture,
    unordered_pair(unordered_pair(esk8_0,esk8_0),unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))) = esk10_0,
    i_0_86 ).

cnf(c_0_100,plain,
    ( second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))) = X2
    | ~ member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    i_0_29 ).

cnf(c_0_101,negated_conjecture,
    ( first(esk10_0) != esk8_0
    | second(esk10_0) != esk9_0 ),
    i_0_85 ).

cnf(c_0_102,negated_conjecture,
    first(esk10_0) = esk8_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).

cnf(c_0_103,negated_conjecture,
    ( second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(esk9_0,esk9_0)))) = esk9_0
    | ~ member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_100,c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    second(esk10_0) != esk9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).

cnf(c_0_105,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_98]),c_0_99]),c_0_104]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET020+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 : Mon Jul 11 01:43:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.40/2.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.40/2.44  # No SInE strategy applied
% 8.40/2.44  # Trying AutoSched0 for 150 seconds
% 8.40/2.44  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 8.40/2.44  # and selection function SelectNewComplexAHP.
% 8.40/2.44  #
% 8.40/2.44  # Preprocessing time       : 0.012 s
% 8.40/2.44  # Presaturation interreduction done
% 8.40/2.44  
% 8.40/2.44  # Proof found!
% 8.40/2.44  # SZS status Theorem
% 8.40/2.44  # SZS output start CNFRefutation
% See solution above
% 8.40/2.44  # Training examples: 0 positive, 0 negative
% 8.40/2.44  
% 8.40/2.44  # -------------------------------------------------
% 8.40/2.44  # User time                : 0.019 s
% 8.40/2.44  # System time              : 0.005 s
% 8.40/2.44  # Total time               : 0.025 s
% 8.40/2.44  # Maximum resident set size: 7128 pages
% 8.40/2.44  
%------------------------------------------------------------------------------