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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM465+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 : Mon Jul 18 14:10:46 EDT 2022

% Result   : Theorem 21.41s 21.60s
% Output   : Refutation 21.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  13 unt;   3 nHn;  19 RR)
%            Number of literals    :   30 (  11 equ;   9 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

cnf(2,axiom,
    aNaturalNumber0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

cnf(12,axiom,
    ( ~ aNaturalNumber0(X)
    | sdtasdt0(X,sz10) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).

cnf(15,axiom,
    ( ~ aNaturalNumber0(X)
    | sz00 = sdtasdt0(sz00,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).

cnf(31,axiom,
    ( ~ aNaturalNumber0(X)
    | sdtlseqdt0(X,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).

cnf(38,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | ~ aNaturalNumber0(Z)
    | X = sz00
    | Y = Z
    | ~ sdtlseqdt0(Y,Z)
    | sdtlseqdt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).

cnf(41,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).

cnf(42,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).

cnf(43,hypothesis,
    ( xm = sz00
    | sdtlseqdt0(sz10,xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1007) ).

cnf(44,negated_conjecture,
    xm != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(45,negated_conjecture,
    ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(46,plain,
    sdtlseqdt0(sz10,xm),
    inference('REWRITE',[status(thm)],[43,44]) ).

cnf(47,plain,
    sdtlseqdt0(xn,xn),
    inference('HYPERRESOLVE',[status(thm)],[31,42]) ).

cnf(50,plain,
    sdtlseqdt0(sz00,sz00),
    inference('HYPERRESOLVE',[status(thm)],[31,1]) ).

cnf(58,plain,
    sdtasdt0(xn,sz10) = xn,
    inference('HYPERRESOLVE',[status(thm)],[12,42]) ).

cnf(69,plain,
    sz00 = sdtasdt0(sz00,xm),
    inference('HYPERRESOLVE',[status(thm)],[15,41]) ).

cnf(293,plain,
    ( xn = sz00
    | sz10 = xm ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[38,42,2,41,46]),45,58,theory(equality)]) ).

cnf(33331,plain,
    sz10 = xm,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45,293,theory(equality)]),50,69,theory(equality)]) ).

cnf(33332,plain,
    $false,
    inference('REWRITE',[status(thm)],[45,47,58,33331,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM465+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul  5 17:24:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T17:24:58
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-05T17:24:58
% 21.41/21.60  
% 21.41/21.60  
% 21.41/21.60  #||
% 21.41/21.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.41/21.60  % SZS output start Refutation
% See solution above
% 21.41/21.60  ||#
% 21.41/21.60  
% 21.41/21.60  ; Summary of computation:
% 21.41/21.60  ;    123669 formulas have been input or derived (from 111 formulas).
% 21.41/21.60  ;     33332 (27%) were retained.  Of these,
% 21.41/21.60  ;        30691 (92%) were simplified or subsumed later,
% 21.41/21.60  ;         2641 ( 8%) are still being kept.
% 21.41/21.60  ; 
% 21.41/21.60  ; Run time in seconds excluding printing time:
% 21.41/21.60  ;     0.009   0%   Read assertion file          (1 call)
% 21.41/21.60  ;     0.002   0%   Assert                       (29 calls)
% 21.41/21.60  ;     3.911  19%   Process new row              (94,011 calls)
% 21.41/21.60  ;     9.855  47%   Resolution                   (220 calls)
% 21.41/21.60  ;     0.013   0%   Paramodulation               (110 calls)
% 21.41/21.60  ;     0.000   0%   Factoring                    (3 calls)
% 21.41/21.60  ;     0.004   0%   Condensing                   (1,011 calls)
% 21.41/21.60  ;     0.086   0%   Forward subsumption          (1,011 calls)
% 21.41/21.60  ;     0.012   0%   Backward subsumption         (737 calls)
% 21.41/21.60  ;     0.011   0%   Clause clause subsumption    (5,002 calls)
% 21.41/21.60  ;     2.652  13%   Forward simplification       (82,966 calls)
% 21.41/21.60  ;     4.047  19%   Backward simplification      (33,332 calls)
% 21.41/21.60  ;     0.220   1%   Ordering                     (32,516 calls)
% 21.41/21.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 21.41/21.60  ;     0.000   0%   Purity testing               (1 call)
% 21.41/21.60  ;     0.305   1%   Other
% 21.41/21.60  ;    21.127        Total
% 21.41/21.60  ;    21.132        Real time
% 21.41/21.60  ; 
% 21.41/21.60  ; Term-hash-array has 77,433 terms in all.
% 21.41/21.60  ; Feature-vector-row-index has 189 entries (712 at peak, 737 added, 548 deleted).
% 21.41/21.60  ; Feature-vector-row-index has 564 nodes (1,791 at peak, 1,865 added, 1,301 deleted).
% 21.41/21.60  ;  Retrieved 4,164 possibly forward subsuming rows in 1,011 calls.
% 21.41/21.60  ;  Retrieved 1,161 possibly backward subsumed rows in 737 calls.
% 21.41/21.60  ; Path-index has 5,841 entries (72,706 at peak, 79,510 added, 73,669 deleted).
% 21.41/21.60  ; Path-index has 1,598 nodes (2,165 at peak, 2,281 added, 683 deleted).
% 21.41/21.60  ; Trie-index has 5,841 entries (72,706 at peak, 79,510 added, 73,669 deleted).
% 21.41/21.60  ; Trie-index has 32,604 nodes (415,087 at peak, 454,733 added, 422,129 deleted).
% 21.41/21.60  ; Retrieved 126,798 generalization terms in 671,426 calls.
% 21.41/21.60  ; Retrieved 32,828 instance terms in 32,594 calls.
% 21.41/21.60  ; Retrieved 10,308,207 unifiable terms in 449,246 calls.
% 21.41/21.60  ; 
% 21.41/21.60  ; The agenda of backward simplifiable rows to process has 25033 entries:
% 21.41/21.60  ; 25033 with value 0
% 21.41/21.60  ; The agenda of rows to process has 2 entries:
% 21.41/21.60  ;     2 with value 14
% 21.41/21.60  ; The agenda of rows to give has 2567 entries:
% 21.41/21.60  ;     1 with value (4 6)          84 with value (4 17)         190 with value (4 26)
% 21.41/21.60  ;     8 with value (4 9)         104 with value (4 18)         115 with value (4 27)
% 21.41/21.60  ;    11 with value (4 10)         68 with value (4 19)          90 with value (4 28)
% 21.41/21.60  ;    25 with value (4 11)         70 with value (4 20)         155 with value (4 29)
% 21.41/21.60  ;    33 with value (4 12)         91 with value (4 21)         386 with value (4 30)
% 21.41/21.60  ;    59 with value (4 13)        114 with value (4 22)          32 with value (4 32)
% 21.41/21.60  ;    61 with value (4 14)        129 with value (4 23)         128 with value (4 33)
% 21.41/21.60  ;    65 with value (4 15)        180 with value (4 24)         164 with value (4 34)
% 21.41/21.60  ;    70 with value (4 16)        134 with value (4 25)
% 21.41/21.60  Evaluation took:
% 21.41/21.60    21.134 seconds of real time
% 21.41/21.60    19.845245 seconds of user run time
% 21.41/21.60    1.285879 seconds of system run time
% 21.41/21.60    [Run times include 4.782 seconds GC run time.]
% 21.41/21.60    0 calls to %EVAL
% 21.41/21.60    0 page faults and
% 21.41/21.60    1,269,166,344 bytes consed.
% 21.41/21.60  :PROOF-FOUND
% 21.41/21.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T17:25:19
% 21.41/21.60  :PROOF-FOUND
% 21.41/21.60  * 
%------------------------------------------------------------------------------