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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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  : 300s
% DateTime : Tue May  5 06:59:46 PM UTC 2026

% Result   : Theorem 7.02s 2.25s
% Output   : CNFRefutation 7.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   15 (  14 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   23 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,negated_conjecture,
    ( X1 = X2
    | drop(X3,X1) != drop(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_oo2l5p/input.p',i_0_9) ).

cnf(i_0_6,plain,
    drop(s(X1),nil) = nil,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_oo2l5p/input.p',i_0_6) ).

cnf(i_0_7,plain,
    drop(s(X1),cons(X2,X3)) = drop(X1,X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_oo2l5p/input.p',i_0_7) ).

cnf(i_0_3,plain,
    cons(X1,X2) != nil,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_oo2l5p/input.p',i_0_3) ).

cnf(c_0_14,negated_conjecture,
    ( X1 = X2
    | drop(X3,X1) != drop(X3,X2) ),
    i_0_9 ).

cnf(c_0_15,plain,
    drop(s(X1),nil) = nil,
    i_0_6 ).

cnf(c_0_16,negated_conjecture,
    ( nil = X1
    | drop(s(X2),X1) != nil ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,plain,
    drop(s(X1),cons(X2,X3)) = drop(X1,X3),
    i_0_7 ).

cnf(c_0_18,negated_conjecture,
    ( cons(X1,X2) = nil
    | drop(X3,X2) != nil ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,plain,
    cons(X1,X2) != nil,
    i_0_3 ).

cnf(c_0_20,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.33  % Computer : n019.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue May  5 09:35:30 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.02/2.25  # ENIGMATIC: Solved by autoschedule:
% 7.02/2.25  # No SInE strategy applied
% 7.02/2.25  # Trying AutoSched0 for 150 seconds
% 7.02/2.25  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 7.02/2.25  # and selection function SelectNewComplexAHP.
% 7.02/2.25  #
% 7.02/2.25  # Preprocessing time       : 0.018 s
% 7.02/2.25  # Presaturation interreduction done
% 7.02/2.25  
% 7.02/2.25  # Proof found!
% 7.02/2.25  # SZS status Theorem
% 7.02/2.25  # SZS output start CNFRefutation
% See solution above
% 7.02/2.25  # Training examples: 0 positive, 0 negative
% 7.02/2.25  
% 7.02/2.25  # -------------------------------------------------
% 7.02/2.25  # User time                : 0.019 s
% 7.02/2.25  # System time              : 0.006 s
% 7.02/2.25  # Total time               : 0.024 s
% 7.02/2.25  # Maximum resident set size: 7124 pages
% 7.02/2.25  
%------------------------------------------------------------------------------