TSTP Solution File: NUM477+2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM477+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:10:54 EDT 2022

% Result   : Theorem 0.40s 0.60s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   14 (   6 equ;   5 neg)
%            Maximal clause size   :    4 (   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   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(14,axiom,
    ( ~ aNaturalNumber0(X)
    | sdtasdt0(X,sz00) = sz00 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).

cnf(41,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | X = sz00
    | sdtlseqdt0(Y,sdtasdt0(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).

cnf(51,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494) ).

cnf(53,hypothesis,
    aNaturalNumber0('SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).

cnf(54,hypothesis,
    xn = sdtasdt0(xm,'SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).

cnf(56,hypothesis,
    xn != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).

cnf(58,negated_conjecture,
    ~ sdtlseqdt0(xm,xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(84,plain,
    sdtasdt0(xm,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[14,51]) ).

cnf(159,plain,
    'SKOLEMAAAV3' = sz00,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,53,51]),58,54,theory(equality)]) ).

cnf(160,plain,
    $false,
    inference('REWRITE',[status(thm)],[54,56,84,159,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : NUM477+2 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15  % Command  : run-snark %s %d
% 0.14/0.37  % Computer : n004.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Tue Jul  5 16:50:53 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.52  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T16:50:53
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-05T16:50:53
% 0.38/0.55  WARNING:
% 0.38/0.55     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.60  
% 0.40/0.60  
% 0.40/0.60  #||
% 0.40/0.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.60  % SZS output start Refutation
% See solution above
% 0.40/0.60  ||#
% 0.40/0.60  
% 0.40/0.60  ; Summary of computation:
% 0.40/0.61  ;       482 formulas have been input or derived (from 31 formulas).
% 0.40/0.61  ;       160 (33%) were retained.  Of these,
% 0.40/0.61  ;           40 (25%) were simplified or subsumed later,
% 0.40/0.61  ;          120 (75%) are still being kept.
% 0.40/0.61  ; 
% 0.40/0.61  ; Run time in seconds excluding printing time:
% 0.40/0.61  ;     0.011  14%   Read assertion file          (1 call)
% 0.40/0.61  ;     0.003   4%   Assert                       (37 calls)
% 0.40/0.61  ;     0.010  12%   Process new row              (423 calls)
% 0.40/0.61  ;     0.013  16%   Resolution                   (60 calls)
% 0.40/0.61  ;     0.001   1%   Paramodulation               (30 calls)
% 0.40/0.61  ;     0.002   2%   Condensing                   (75 calls)
% 0.40/0.61  ;     0.004   5%   Forward subsumption          (75 calls)
% 0.40/0.61  ;     0.000   0%   Backward subsumption         (62 calls)
% 0.40/0.61  ;     0.001   1%   Clause clause subsumption    (58 calls)
% 0.40/0.61  ;     0.008  10%   Forward simplification       (422 calls)
% 0.40/0.61  ;     0.003   4%   Backward simplification      (160 calls)
% 0.40/0.61  ;     0.001   1%   Ordering                     (81 calls)
% 0.40/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.40/0.61  ;     0.024  30%   Other
% 0.40/0.61  ;     0.081        Total
% 0.40/0.61  ;     0.083        Real time
% 0.40/0.61  ; 
% 0.40/0.61  ; Term-hash-array has 255 terms in all.
% 0.40/0.61  ; Feature-vector-row-index has 53 entries (60 at peak, 62 added, 9 deleted).
% 0.40/0.61  ; Feature-vector-row-index has 146 nodes (174 at peak, 182 added, 36 deleted).
% 0.40/0.61  ;  Retrieved 53 possibly forward subsuming rows in 75 calls.
% 0.40/0.61  ;  Retrieved 15 possibly backward subsumed rows in 62 calls.
% 0.40/0.61  ; Path-index has 198 entries (257 at peak, 260 added, 62 deleted).
% 0.40/0.61  ; Path-index has 283 nodes (300 at peak, 300 added, 17 deleted).
% 0.40/0.61  ; Trie-index has 198 entries (257 at peak, 260 added, 62 deleted).
% 0.40/0.61  ; Trie-index has 380 nodes (472 at peak, 475 added, 95 deleted).
% 0.40/0.61  ; Retrieved 348 generalization terms in 916 calls.
% 0.40/0.61  ; Retrieved 97 instance terms in 97 calls.
% 0.40/0.61  ; Retrieved 10,692 unifiable terms in 1,014 calls.
% 0.40/0.61  ; 
% 0.40/0.61  ; The agenda of backward simplifiable rows to process has 33 entries:
% 0.40/0.61  ;    33 with value 0
% 0.40/0.61  ; The agenda of rows to process has 22 entries:
% 0.40/0.61  ;    22 with value 12
% 0.40/0.61  ; The agenda of input rows to give has 28 entries:
% 0.40/0.61  ;     1 with value 18              2 with value 23               1 with value 27
% 0.40/0.61  ;     5 with value 20              4 with value 24               1 with value 28
% 0.40/0.61  ;     3 with value 21              2 with value 25               2 with value 30
% 0.40/0.61  ;     2 with value 22              4 with value 26               1 with value 31
% 0.40/0.61  ; The agenda of rows to give has 63 entries:
% 0.40/0.61  ;     8 with value (4 5)          32 with value (4 8)            4 with value (4 10)
% 0.40/0.61  ;    14 with value (4 7)           4 with value (4 9)            1 with value (4 13)
% 0.40/0.61  Evaluation took:
% 0.40/0.61    0.083 seconds of real time
% 0.40/0.61    0.071667 seconds of user run time
% 0.40/0.61    0.011656 seconds of system run time
% 0.40/0.61    0 calls to %EVAL
% 0.40/0.61    0 page faults and
% 0.40/0.61    3,983,720 bytes consed.
% 0.40/0.61  :PROOF-FOUND
% 0.40/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T16:50:53
% 0.40/0.61  :PROOF-FOUND
% 0.40/0.61  * 
%------------------------------------------------------------------------------