TSTP Solution File: SEU267+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU267+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 08:40:15 EDT 2022

% Result   : Theorem 8.99s 2.89s
% Output   : CNFRefutation 8.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   17 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   34 (  33 equ;  21 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   44 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_110,plain,
    ( X1 = X2
    | X1 != pair_second(X3)
    | X3 != unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))
    | X3 != unordered_pair(unordered_pair(X6,X2),unordered_pair(X6,X6)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a9bn98di/lgb.p',i_0_110) ).

cnf(i_0_74,plain,
    ( X1 = X2
    | X1 != pair_first(X3)
    | X3 != unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))
    | X3 != unordered_pair(unordered_pair(X2,X6),unordered_pair(X2,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a9bn98di/lgb.p',i_0_74) ).

cnf(i_0_659,negated_conjecture,
    ( pair_first(unordered_pair(unordered_pair(esk131_0,esk132_0),unordered_pair(esk131_0,esk131_0))) != esk131_0
    | pair_second(unordered_pair(unordered_pair(esk131_0,esk132_0),unordered_pair(esk131_0,esk131_0))) != esk132_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a9bn98di/lgb.p',i_0_659) ).

cnf(i_0_15,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a9bn98di/lgb.p',i_0_15) ).

cnf(c_0_664,plain,
    ( X1 = X2
    | X1 != pair_second(X3)
    | X3 != unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))
    | X3 != unordered_pair(unordered_pair(X6,X2),unordered_pair(X6,X6)) ),
    i_0_110 ).

cnf(c_0_665,plain,
    ( pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X2
    | unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)) != unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_664])]) ).

cnf(c_0_666,plain,
    ( X1 = X2
    | X1 != pair_first(X3)
    | X3 != unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))
    | X3 != unordered_pair(unordered_pair(X2,X6),unordered_pair(X2,X2)) ),
    i_0_74 ).

cnf(c_0_667,negated_conjecture,
    ( pair_first(unordered_pair(unordered_pair(esk131_0,esk132_0),unordered_pair(esk131_0,esk131_0))) != esk131_0
    | pair_second(unordered_pair(unordered_pair(esk131_0,esk132_0),unordered_pair(esk131_0,esk131_0))) != esk132_0 ),
    i_0_659 ).

cnf(c_0_668,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_15 ).

cnf(c_0_669,plain,
    pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X2,
    inference(er,[status(thm)],[c_0_665]) ).

cnf(c_0_670,plain,
    ( pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X3
    | unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)) != unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_666])]) ).

cnf(c_0_671,negated_conjecture,
    ( pair_first(unordered_pair(unordered_pair(esk131_0,esk131_0),unordered_pair(esk131_0,esk132_0))) != esk131_0
    | pair_second(unordered_pair(unordered_pair(esk131_0,esk131_0),unordered_pair(esk131_0,esk132_0))) != esk132_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_667,c_0_668]),c_0_668]) ).

cnf(c_0_672,plain,
    pair_second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2))) = X2,
    inference(spm,[status(thm)],[c_0_669,c_0_668]) ).

cnf(c_0_673,plain,
    pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X1,
    inference(er,[status(thm)],[c_0_670]) ).

cnf(c_0_674,negated_conjecture,
    pair_first(unordered_pair(unordered_pair(esk131_0,esk131_0),unordered_pair(esk131_0,esk132_0))) != esk131_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_671,c_0_672])]) ).

cnf(c_0_675,plain,
    pair_first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2))) = X1,
    inference(spm,[status(thm)],[c_0_673,c_0_668]) ).

cnf(c_0_676,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_674,c_0_675])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU267+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 21:53:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.21/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.99/2.89  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.99/2.89  # No SInE strategy applied
% 8.99/2.89  # Trying AutoSched0 for 150 seconds
% 8.99/2.89  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S032I
% 8.99/2.89  # and selection function SelectUnlessUniqMax.
% 8.99/2.89  #
% 8.99/2.89  # Preprocessing time       : 0.024 s
% 8.99/2.89  # Presaturation interreduction done
% 8.99/2.89  
% 8.99/2.89  # Proof found!
% 8.99/2.89  # SZS status Theorem
% 8.99/2.89  # SZS output start CNFRefutation
% See solution above
% 8.99/2.89  # Training examples: 0 positive, 0 negative
% 8.99/2.89  
% 8.99/2.89  # -------------------------------------------------
% 8.99/2.89  # User time                : 0.052 s
% 8.99/2.89  # System time              : 0.008 s
% 8.99/2.89  # Total time               : 0.059 s
% 8.99/2.90  # Maximum resident set size: 7124 pages
% 8.99/2.90  
%------------------------------------------------------------------------------