TSTP Solution File: NUM523+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 14:11:20 EDT 2022

% Result   : Theorem 88.99s 89.19s
% Output   : Refutation 88.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  10 unt;   1 nHn;  14 RR)
%            Number of literals    :   27 (   2 equ;  14 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | aNaturalNumber0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

cnf(45,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | doDivides0(X,Y)
    | ~ aNaturalNumber0(Z)
    | Y != sdtasdt0(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).

cnf(64,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | ~ aNaturalNumber0(Z)
    | ~ isPrime0(Z)
    | ~ doDivides0(Z,sdtasdt0(X,Y))
    | doDivides0(Z,X)
    | doDivides0(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPDP) ).

cnf(65,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).

cnf(66,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).

cnf(67,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).

cnf(72,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).

cnf(73,hypothesis,
    isPrime0(xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).

cnf(74,negated_conjecture,
    ( ~ doDivides0(xp,sdtasdt0(xn,xn))
    | ~ doDivides0(xp,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(128,plain,
    aNaturalNumber0(sdtasdt0(xm,xm)),
    inference('HYPERRESOLVE',[status(thm)],[5,66,66]) ).

cnf(132,plain,
    aNaturalNumber0(sdtasdt0(xn,xn)),
    inference('HYPERRESOLVE',[status(thm)],[5,65,65]) ).

cnf(80068,plain,
    doDivides0(xp,sdtasdt0(xn,xn)),
    inference('HYPERRESOLVE',[status(thm)],[45,132,67,128,72]) ).

cnf(80069,plain,
    ~ doDivides0(xp,xn),
    inference('REWRITE',[status(thm)],[74,80068]) ).

cnf(89316,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[64,80069,65,65,67,73,80069]),80068]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n008.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 : Wed Jul  6 15:11:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T15:11:08
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-06T15:11:08
% 88.99/89.19  
% 88.99/89.19  
% 88.99/89.19  #||
% 88.99/89.19  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.99/89.19  % SZS output start Refutation
% See solution above
% 88.99/89.19  ||#
% 88.99/89.19  
% 88.99/89.19  ; Summary of computation:
% 88.99/89.19  ;    209827 formulas have been input or derived (from 115 formulas).
% 88.99/89.19  ;     89316 (43%) were retained.  Of these,
% 88.99/89.19  ;         6336 ( 7%) were simplified or subsumed later,
% 88.99/89.19  ;        82980 (93%) are still being kept.
% 88.99/89.19  ; 
% 88.99/89.19  ; Run time in seconds excluding printing time:
% 88.99/89.19  ;     0.014   0%   Read assertion file          (1 call)
% 88.99/89.19  ;     0.003   0%   Assert                       (44 calls)
% 88.99/89.19  ;    14.429  16%   Process new row              (206,077 calls)
% 88.99/89.19  ;    61.571  69%   Resolution                   (228 calls)
% 88.99/89.19  ;     0.004   0%   Paramodulation               (114 calls)
% 88.99/89.19  ;     0.002   0%   Condensing                   (1,026 calls)
% 88.99/89.19  ;     0.270   0%   Forward subsumption          (1,026 calls)
% 88.99/89.19  ;     0.022   0%   Backward subsumption         (665 calls)
% 88.99/89.19  ;     0.006   0%   Clause clause subsumption    (2,104 calls)
% 88.99/89.19  ;     8.532  10%   Forward simplification       (206,077 calls)
% 88.99/89.19  ;     2.355   3%   Backward simplification      (89,316 calls)
% 88.99/89.19  ;     0.827   1%   Ordering                     (86,927 calls)
% 88.99/89.19  ;     0.000   0%   Sortal reasoning             (32 calls)
% 88.99/89.19  ;     0.000   0%   Purity testing               (1 call)
% 88.99/89.19  ;     0.676   1%   Other
% 88.99/89.19  ;    88.711        Total
% 88.99/89.19  ;    88.713        Real time
% 88.99/89.20  ; 
% 88.99/89.20  ; Term-hash-array has 214,835 terms in all.
% 88.99/89.20  ; Feature-vector-row-index has 626 entries (626 at peak, 665 added, 39 deleted).
% 88.99/89.20  ; Feature-vector-row-index has 1,917 nodes (1,917 at peak, 2,127 added, 210 deleted).
% 88.99/89.20  ;  Retrieved 1,935 possibly forward subsuming rows in 1,026 calls.
% 88.99/89.20  ;  Retrieved 755 possibly backward subsumed rows in 665 calls.
% 88.99/89.20  ; Path-index has 207,440 entries (207,440 at peak, 220,317 added, 12,877 deleted).
% 88.99/89.20  ; Path-index has 2,086 nodes (2,086 at peak, 2,112 added, 26 deleted).
% 88.99/89.20  ; Trie-index has 207,440 entries (207,440 at peak, 220,317 added, 12,877 deleted).
% 88.99/89.20  ; Trie-index has 1,156,438 nodes (1,156,438 at peak, 1,230,418 added, 73,980 deleted).
% 88.99/89.20  ; Retrieved 319,162 generalization terms in 2,009,897 calls.
% 88.99/89.20  ; Retrieved 89,140 instance terms in 88,650 calls.
% 88.99/89.20  ; Retrieved 44,608,512 unifiable terms in 1,363,179 calls.
% 88.99/89.20  ; 
% 88.99/89.20  ; The agenda of rows to process has 23 entries:
% 88.99/89.20  ;     1 with value 11             22 with value 12
% 88.99/89.20  ; The agenda of rows to give has 82866 entries:
% 88.99/89.20  ;     1 with value (4 5)         910 with value (4 16)        1212 with value (4 26)
% 88.99/89.20  ;     2 with value (4 7)        1496 with value (4 17)        8325 with value (4 27)
% 88.99/89.20  ;   102 with value (4 8)         321 with value (4 18)        2444 with value (4 28)
% 88.99/89.20  ;    60 with value (4 9)         840 with value (4 19)       19463 with value (4 29)
% 88.99/89.20  ;    52 with value (4 10)        826 with value (4 20)        3602 with value (4 30)
% 88.99/89.20  ;   269 with value (4 11)       1789 with value (4 21)        3892 with value (4 31)
% 88.99/89.20  ;   277 with value (4 12)         22 with value (4 22)        2763 with value (4 32)
% 88.99/89.20  ;   800 with value (4 13)       5331 with value (4 23)       11540 with value (4 33)
% 88.99/89.20  ;   380 with value (4 14)        511 with value (4 24)        4144 with value (4 34)
% 88.99/89.20  ;   484 with value (4 15)       8984 with value (4 25)        2024 with value (4 36)
% 88.99/89.20  Evaluation took:
% 88.99/89.20    88.72 seconds of real time
% 88.99/89.20    86.221115 seconds of user run time
% 88.99/89.20    2.499239 seconds of system run time
% 88.99/89.20    [Run times include 13.876 seconds GC run time.]
% 88.99/89.20    0 calls to %EVAL
% 88.99/89.20    0 page faults and
% 88.99/89.20    2,997,543,392 bytes consed.
% 88.99/89.20  :PROOF-FOUND
% 88.99/89.20  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T15:12:37
% 88.99/89.20  :PROOF-FOUND
% 88.99/89.20  * 
%------------------------------------------------------------------------------