TSTP Solution File: NUM514+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM514+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:11:15 EDT 2022

% Result   : Theorem 0.77s 0.97s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   3 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   3 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(261,hypothesis,
    aNaturalNumber0(sdtsldt0(xk,xr)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).

cnf(263,hypothesis,
    sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).

cnf(264,negated_conjecture,
    ( ~ aNaturalNumber0(X)
    | sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(265,plain,
    ( ~ aNaturalNumber0(X)
    | sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X) ),
    inference('REWRITE',[status(thm)],[264,263,theory(equality)]) ).

cnf(1937,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[265,261,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM514+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.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 : Thu Jul  7 13:07:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:07:14
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-07T13:07:14
% 0.77/0.97  
% 0.77/0.97  
% 0.77/0.97  #||
% 0.77/0.97  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.97  % SZS output start Refutation
% See solution above
% 0.77/0.97  ||#
% 0.77/0.97  
% 0.77/0.97  ; Summary of computation:
% 0.77/0.97  ;      4627 formulas have been input or derived (from 87 formulas).
% 0.77/0.97  ;      1937 (42%) were retained.  Of these,
% 0.77/0.97  ;           25 ( 1%) were simplified or subsumed later,
% 0.77/0.97  ;         1912 (99%) are still being kept.
% 0.77/0.97  ; 
% 0.77/0.97  ; Run time in seconds:
% 0.77/0.97  ;     0.019   4%   Read assertion file          (1 call)
% 0.77/0.97  ;     0.011   2%   Assert                       (56 calls)
% 0.77/0.97  ;     0.112  23%   Process new row              (4,561 calls)
% 0.77/0.97  ;     0.142  29%   Resolution                   (172 calls)
% 0.77/0.97  ;     0.001   0%   Paramodulation               (86 calls)
% 0.77/0.97  ;     0.000   0%   Factoring                    (6 calls)
% 0.77/0.97  ;     0.010   2%   Condensing                   (1,174 calls)
% 0.77/0.97  ;     0.057  12%   Forward subsumption          (1,174 calls)
% 0.77/0.97  ;     0.031   6%   Backward subsumption         (812 calls)
% 0.77/0.97  ;     0.011   2%   Clause clause subsumption    (1,327 calls)
% 0.77/0.97  ;     0.051  10%   Forward simplification       (4,561 calls)
% 0.77/0.97  ;     0.005   1%   Backward simplification      (1,932 calls)
% 0.77/0.97  ;     0.001   0%   Ordering                     (1,142 calls)
% 0.77/0.97  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.97  ;     0.001   0%   Purity testing               (1 call)
% 0.77/0.97  ;     0.040   8%   Other
% 0.77/0.97  ;     0.492        Total
% 0.77/0.97  ;     0.493        Real time
% 0.77/0.97  ; 
% 0.77/0.97  ; Term-hash-array has 2,831 terms in all.
% 0.77/0.97  ; Feature-vector-row-index has 806 entries (806 at peak, 812 added, 6 deleted).
% 0.77/0.97  ; Feature-vector-row-index has 3,530 nodes (3,530 at peak, 3,541 added, 11 deleted).
% 0.77/0.97  ;  Retrieved 2,567 possibly forward subsuming rows in 1,174 calls.
% 0.77/0.97  ;  Retrieved 546 possibly backward subsumed rows in 812 calls.
% 0.77/0.97  ; Path-index has 2,831 entries (2,831 at peak, 2,849 added, 18 deleted).
% 0.77/0.97  ; Path-index has 854 nodes (854 at peak, 860 added, 6 deleted).
% 0.77/0.97  ; Trie-index has 2,831 entries (2,831 at peak, 2,849 added, 18 deleted).
% 0.77/0.97  ; Trie-index has 5,634 nodes (5,634 at peak, 5,665 added, 31 deleted).
% 0.77/0.97  ; Retrieved 2,703 generalization terms in 11,208 calls.
% 0.77/0.97  ; Retrieved 1,119 instance terms in 1,119 calls.
% 0.77/0.97  ; Retrieved 211,487 unifiable terms in 4,889 calls.
% 0.77/0.97  ; 
% 0.77/0.97  ; The agenda of rows to process has 22 entries:
% 0.77/0.97  ;     1 with value 7               2 with value 15               1 with value 18
% 0.77/0.97  ;    16 with value 13              2 with value 16
% 0.77/0.97  ; The agenda of input rows to give has 173 entries:
% 0.77/0.97  ;     1 with value 15              2 with value 31               6 with value 56
% 0.77/0.97  ;     4 with value 16              1 with value 41               7 with value 57
% 0.77/0.97  ;     4 with value 17              2 with value 43              13 with value 58
% 0.77/0.97  ;     3 with value 18              1 with value 45              10 with value 59
% 0.77/0.97  ;     1 with value 19              1 with value 46               9 with value 60
% 0.77/0.97  ;     8 with value 20              2 with value 47               4 with value 61
% 0.77/0.97  ;     6 with value 21              2 with value 48               6 with value 62
% 0.77/0.97  ;     2 with value 22              2 with value 49              10 with value 63
% 0.77/0.97  ;     2 with value 23              1 with value 50               9 with value 64
% 0.77/0.97  ;     4 with value 24              2 with value 51               7 with value 65
% 0.77/0.97  ;     2 with value 25              5 with value 52               2 with value 67
% 0.77/0.97  ;     4 with value 26              5 with value 53               3 with value 68
% 0.77/0.97  ;     1 with value 27              8 with value 54               5 with value 69
% 0.77/0.97  ;     1 with value 28              2 with value 55               1 with value 73
% 0.77/0.97  ;     2 with value 30
% 0.77/0.97  ; The agenda of rows to give has 1652 entries:
% 0.77/0.97  ;     2 with value (4 4)         115 with value (4 13)          16 with value (4 21)
% 0.77/0.97  ;    22 with value (4 5)         136 with value (4 14)          14 with value (4 22)
% 0.77/0.97  ;   403 with value (4 7)         107 with value (4 15)           2 with value (4 23)
% 0.77/0.97  ;   128 with value (4 8)          37 with value (4 16)           5 with value (4 24)
% 0.77/0.97  ;   114 with value (4 9)          82 with value (4 17)           2 with value (4 25)
% 0.77/0.97  ;   366 with value (4 10)         10 with value (4 18)           4 with value (4 27)
% 0.77/0.97  ;    17 with value (4 11)          3 with value (4 19)           2 with value (4 28)
% 0.77/0.97  ;    26 with value (4 12)         38 with value (4 20)           1 with value (4 31)
% 0.77/0.97  Evaluation took:
% 0.77/0.97    0.494 seconds of real time
% 0.77/0.97    0.457339 seconds of user run time
% 0.77/0.97    0.035948 seconds of system run time
% 0.77/0.97    [Run times include 0.024 seconds GC run time.]
% 0.77/0.97    0 calls to %EVAL
% 0.77/0.97    0 page faults and
% 0.77/0.97    29,098,632 bytes consed.
% 0.77/0.97  :PROOF-FOUND
% 0.77/0.97  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:07:14
% 0.77/0.97  :PROOF-FOUND
% 0.77/0.97  * 
%------------------------------------------------------------------------------