TSTP Solution File: NUM603+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM603+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:12:06 EDT 2022

% Result   : Theorem 1.00s 1.18s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   1 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

cnf(49,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | sdtlseqdt0(sz00,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).

cnf(155,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

cnf(160,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(Y,X)
    | aSubsetOf0(sdtlpdtrp0(xN,X),sdtlpdtrp0(xN,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).

cnf(194,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).

cnf(196,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(208,plain,
    sdtlseqdt0(sz00,xi),
    inference('HYPERRESOLVE',[status(thm)],[49,194]) ).

cnf(1932,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[160,208,194,42]),196,155,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM603+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.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 : Tue Jul  5 17:27:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T17:27:23
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-05T17:27:23
% 1.00/1.18  
% 1.00/1.18  
% 1.00/1.18  #||
% 1.00/1.18  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.18  % SZS output start Refutation
% See solution above
% 1.00/1.18  ||#
% 1.00/1.18  
% 1.00/1.18  ; Summary of computation:
% 1.00/1.18  ;      2756 formulas have been input or derived (from 216 formulas).
% 1.00/1.18  ;      1932 (70%) were retained.  Of these,
% 1.00/1.18  ;          129 ( 7%) were simplified or subsumed later,
% 1.00/1.18  ;         1803 (93%) are still being kept.
% 1.00/1.18  ; 
% 1.00/1.18  ; Run time in seconds excluding printing time:
% 1.00/1.18  ;     0.026   4%   Read assertion file          (1 call)
% 1.00/1.18  ;     0.006   1%   Assert                       (100 calls)
% 1.00/1.18  ;     0.140  19%   Process new row              (2,679 calls)
% 1.00/1.18  ;     0.316  44%   Resolution                   (430 calls)
% 1.00/1.18  ;     0.004   1%   Paramodulation               (215 calls)
% 1.00/1.18  ;     0.010   1%   Condensing                   (1,389 calls)
% 1.00/1.18  ;     0.086  12%   Forward subsumption          (1,389 calls)
% 1.00/1.18  ;     0.029   4%   Backward subsumption         (1,308 calls)
% 1.00/1.18  ;     0.001   0%   Clause clause subsumption    (350 calls)
% 1.00/1.18  ;     0.038   5%   Forward simplification       (2,679 calls)
% 1.00/1.18  ;     0.010   1%   Backward simplification      (1,930 calls)
% 1.00/1.18  ;     0.006   1%   Ordering                     (2,623 calls)
% 1.00/1.18  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.00/1.18  ;     0.001   0%   Purity testing               (1 call)
% 1.00/1.18  ;     0.045   6%   Other
% 1.00/1.18  ;     0.718        Total
% 1.00/1.18  ;     0.719        Real time
% 1.00/1.18  ; 
% 1.00/1.18  ; Term-hash-array has 3,971 terms in all.
% 1.00/1.18  ; Feature-vector-row-index has 1,206 entries (1,241 at peak, 1,308 added, 102 deleted).
% 1.00/1.18  ; Feature-vector-row-index has 7,483 nodes (7,555 at peak, 8,015 added, 532 deleted).
% 1.00/1.18  ;  Retrieved 566 possibly forward subsuming rows in 1,389 calls.
% 1.00/1.18  ;  Retrieved 536 possibly backward subsumed rows in 1,308 calls.
% 1.00/1.18  ; Path-index has 3,941 entries (3,941 at peak, 4,140 added, 199 deleted).
% 1.00/1.18  ; Path-index has 2,202 nodes (2,202 at peak, 2,226 added, 24 deleted).
% 1.00/1.18  ; Trie-index has 3,941 entries (3,941 at peak, 4,140 added, 199 deleted).
% 1.00/1.18  ; Trie-index has 7,126 nodes (7,126 at peak, 7,440 added, 314 deleted).
% 1.00/1.18  ; Retrieved 1,533 generalization terms in 8,238 calls.
% 1.00/1.18  ; Retrieved 621 instance terms in 621 calls.
% 1.00/1.18  ; Retrieved 799,422 unifiable terms in 23,626 calls.
% 1.00/1.18  ; 
% 1.00/1.18  ; The agenda of rows to give has 1587 entries:
% 1.00/1.18  ;     9 with value (4 5)          48 with value (4 18)           1 with value (4 30)
% 1.00/1.18  ;    27 with value (4 6)          15 with value (4 19)           7 with value (4 31)
% 1.00/1.18  ;    65 with value (4 7)          33 with value (4 20)           3 with value (4 32)
% 1.00/1.18  ;   147 with value (4 8)          15 with value (4 21)          60 with value (4 33)
% 1.00/1.18  ;   196 with value (4 9)           3 with value (4 22)           3 with value (4 34)
% 1.00/1.18  ;    50 with value (4 10)          8 with value (4 23)           2 with value (4 35)
% 1.00/1.18  ;    27 with value (4 11)        192 with value (4 24)          19 with value (4 37)
% 1.00/1.18  ;    31 with value (4 12)        188 with value (4 25)           6 with value (4 38)
% 1.00/1.18  ;    26 with value (4 13)         69 with value (4 26)           4 with value (4 41)
% 1.00/1.18  ;     8 with value (4 14)         48 with value (4 27)           1 with value (4 44)
% 1.00/1.18  ;    30 with value (4 15)         80 with value (4 28)           1 with value (4 45)
% 1.00/1.18  ;    38 with value (4 16)          9 with value (4 29)           3 with value (4 51)
% 1.00/1.18  ;   115 with value (4 17)
% 1.00/1.18  Evaluation took:
% 1.00/1.18    0.72 seconds of real time
% 1.00/1.18    0.682434 seconds of user run time
% 1.00/1.18    0.03767 seconds of system run time
% 1.00/1.18    [Run times include 0.035 seconds GC run time.]
% 1.00/1.18    0 calls to %EVAL
% 1.00/1.18    0 page faults and
% 1.00/1.18    49,654,232 bytes consed.
% 1.00/1.18  :PROOF-FOUND
% 1.00/1.18  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T17:27:23
% 1.00/1.18  :PROOF-FOUND
% 1.00/1.18  * 
%------------------------------------------------------------------------------