TSTP Solution File: NUM582+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM582+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:11:54 EDT 2022

% Result   : Theorem 0.69s 0.92s
% Output   : Refutation 0.69s
% 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/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

cnf(49,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | sdtlseqdt0(sz00,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

cnf(155,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__3754) ).

cnf(162,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).

cnf(165,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(174,plain,
    sdtlseqdt0(sz00,xi),
    inference('HYPERRESOLVE',[status(thm)],[49,162]) ).

cnf(1093,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[160,174,162,42]),165,155,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM582+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jul  6 23:34:14 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T23:34:14
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-06T23:34:14
% 0.69/0.92  
% 0.69/0.92  
% 0.69/0.92  #||
% 0.69/0.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.92  % SZS output start Refutation
% See solution above
% 0.69/0.92  ||#
% 0.69/0.92  
% 0.69/0.92  ; Summary of computation:
% 0.69/0.92  ;      1663 formulas have been input or derived (from 182 formulas).
% 0.69/0.92  ;      1093 (66%) were retained.  Of these,
% 0.69/0.92  ;           85 ( 8%) were simplified or subsumed later,
% 0.69/0.92  ;         1008 (92%) are still being kept.
% 0.69/0.92  ; 
% 0.69/0.92  ; Run time in seconds excluding printing time:
% 0.69/0.92  ;     0.022   5%   Read assertion file          (1 call)
% 0.69/0.92  ;     0.008   2%   Assert                       (88 calls)
% 0.69/0.92  ;     0.072  17%   Process new row              (1,606 calls)
% 0.69/0.92  ;     0.156  37%   Resolution                   (362 calls)
% 0.69/0.92  ;     0.004   1%   Paramodulation               (181 calls)
% 0.69/0.92  ;     0.004   1%   Condensing                   (752 calls)
% 0.69/0.92  ;     0.035   8%   Forward subsumption          (752 calls)
% 0.69/0.92  ;     0.023   6%   Backward subsumption         (698 calls)
% 0.69/0.92  ;     0.000   0%   Clause clause subsumption    (223 calls)
% 0.69/0.92  ;     0.038   9%   Forward simplification       (1,606 calls)
% 0.69/0.92  ;     0.020   5%   Backward simplification      (1,093 calls)
% 0.69/0.92  ;     0.005   1%   Ordering                     (1,212 calls)
% 0.69/0.92  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.69/0.92  ;     0.000   0%   Purity testing               (1 call)
% 0.69/0.92  ;     0.030   7%   Other
% 0.69/0.92  ;     0.418        Total
% 0.69/0.92  ;     0.419        Real time
% 0.69/0.93  ; 
% 0.69/0.93  ; Term-hash-array has 2,084 terms in all.
% 0.69/0.93  ; Feature-vector-row-index has 633 entries (657 at peak, 698 added, 65 deleted).
% 0.69/0.93  ; Feature-vector-row-index has 3,911 nodes (3,952 at peak, 4,197 added, 286 deleted).
% 0.69/0.93  ;  Retrieved 405 possibly forward subsuming rows in 752 calls.
% 0.69/0.93  ;  Retrieved 408 possibly backward subsumed rows in 698 calls.
% 0.69/0.93  ; Path-index has 2,063 entries (2,063 at peak, 2,200 added, 137 deleted).
% 0.69/0.93  ; Path-index has 1,711 nodes (1,711 at peak, 1,733 added, 22 deleted).
% 0.69/0.93  ; Trie-index has 2,063 entries (2,063 at peak, 2,200 added, 137 deleted).
% 0.69/0.93  ; Trie-index has 3,847 nodes (3,847 at peak, 4,066 added, 219 deleted).
% 0.69/0.93  ; Retrieved 900 generalization terms in 4,457 calls.
% 0.69/0.93  ; Retrieved 394 instance terms in 394 calls.
% 0.69/0.93  ; Retrieved 338,282 unifiable terms in 14,803 calls.
% 0.69/0.93  ; 
% 0.69/0.93  ; The agenda of rows to give has 826 entries:
% 0.69/0.93  ;     9 with value (4 5)          56 with value (4 17)           2 with value (4 29)
% 0.69/0.93  ;    17 with value (4 6)          30 with value (4 18)           2 with value (4 31)
% 0.69/0.93  ;    43 with value (4 7)          16 with value (4 19)           2 with value (4 32)
% 0.69/0.93  ;    92 with value (4 8)          10 with value (4 20)          24 with value (4 33)
% 0.69/0.93  ;   122 with value (4 9)           8 with value (4 21)           1 with value (4 35)
% 0.69/0.93  ;    29 with value (4 10)          3 with value (4 22)           5 with value (4 37)
% 0.69/0.93  ;    19 with value (4 11)          5 with value (4 23)           2 with value (4 38)
% 0.69/0.93  ;    17 with value (4 12)         86 with value (4 24)           1 with value (4 41)
% 0.69/0.93  ;    17 with value (4 13)         76 with value (4 25)           1 with value (4 43)
% 0.69/0.93  ;     8 with value (4 14)         33 with value (4 26)           1 with value (4 45)
% 0.69/0.93  ;    15 with value (4 15)         31 with value (4 27)           1 with value (4 48)
% 0.69/0.93  ;    20 with value (4 16)         20 with value (4 28)           2 with value (4 51)
% 0.69/0.93  Evaluation took:
% 0.69/0.93    0.42 seconds of real time
% 0.69/0.93    0.392394 seconds of user run time
% 0.69/0.93    0.027572 seconds of system run time
% 0.69/0.93    [Run times include 0.021 seconds GC run time.]
% 0.69/0.93    0 calls to %EVAL
% 0.69/0.93    0 page faults and
% 0.69/0.93    26,252,712 bytes consed.
% 0.69/0.93  :PROOF-FOUND
% 0.69/0.93  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T23:34:14
% 0.69/0.93  :PROOF-FOUND
% 0.69/0.93  * 
%------------------------------------------------------------------------------