TSTP Solution File: NUM620+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM620+3 : 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 14:12:18 EDT 2022

% Result   : Theorem 2.05s 2.25s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   1 equ;   3 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    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2807,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,X),sdtlpdtrp0(xN,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).

cnf(2898,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).

cnf(2899,hypothesis,
    xx = sdtlpdtrp0(xe,xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).

cnf(2901,negated_conjecture,
    ( ~ aElementOf0(X,sdtlpdtrp0(xN,xm))
    | aElementOf0(X,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2903,negated_conjecture,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(3083,plain,
    aElementOf0(xx,sdtlpdtrp0(xN,xm)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2807,2898]),2899,theory(equality)]) ).

cnf(3156,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2901,2903]),3083]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM620+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n004.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 13:00:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-07-07T13:00:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-07T13:00:37
% 2.05/2.25  
% 2.05/2.25  
% 2.05/2.25  #||
% 2.05/2.25  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.25  % SZS output start Refutation
% See solution above
% 2.05/2.26  ||#
% 2.05/2.26  
% 2.05/2.26  ; Summary of computation:
% 2.05/2.26  ;      4161 formulas have been input or derived (from 154 formulas).
% 2.05/2.26  ;      3156 (76%) were retained.  Of these,
% 2.05/2.26  ;          124 ( 4%) were simplified or subsumed later,
% 2.05/2.26  ;         3032 (96%) are still being kept.
% 2.05/2.26  ; 
% 2.05/2.26  ; Run time in seconds excluding printing time:
% 2.05/2.26  ;     0.047   3%   Read assertion file          (1 call)
% 2.05/2.26  ;     0.128   7%   Assert                       (117 calls)
% 2.05/2.26  ;     0.315  18%   Process new row              (4,076 calls)
% 2.05/2.26  ;     0.113   6%   Resolution                   (306 calls)
% 2.05/2.26  ;     0.001   0%   Paramodulation               (153 calls)
% 2.05/2.26  ;     0.121   7%   Condensing                   (3,446 calls)
% 2.05/2.26  ;     0.656  37%   Forward subsumption          (3,446 calls)
% 2.05/2.26  ;     0.158   9%   Backward subsumption         (2,799 calls)
% 2.05/2.26  ;     0.020   1%   Clause clause subsumption    (3,711 calls)
% 2.05/2.26  ;     0.161   9%   Forward simplification       (4,076 calls)
% 2.05/2.26  ;     0.007   0%   Backward simplification      (3,108 calls)
% 2.05/2.26  ;     0.000   0%   Ordering                     (145 calls)
% 2.05/2.26  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.05/2.26  ;     0.024   1%   Purity testing               (1 call)
% 2.05/2.26  ;     0.036   2%   Other
% 2.05/2.26  ;     1.787        Total
% 2.05/2.26  ;     1.789        Real time
% 2.05/2.26  ; 
% 2.05/2.26  ; Term-hash-array has 952 terms in all.
% 2.05/2.26  ; Feature-vector-row-index has 2,729 entries (2,729 at peak, 2,799 added, 70 deleted).
% 2.05/2.26  ; Feature-vector-row-index has 37,187 nodes (37,187 at peak, 38,382 added, 1,195 deleted).
% 2.05/2.26  ;  Retrieved 5,314 possibly forward subsuming rows in 3,446 calls.
% 2.05/2.26  ;  Retrieved 537 possibly backward subsumed rows in 2,799 calls.
% 2.05/2.26  ; Path-index has 964 entries (964 at peak, 978 added, 14 deleted).
% 2.05/2.26  ; Path-index has 2,022 nodes (2,022 at peak, 2,032 added, 10 deleted).
% 2.05/2.26  ; Trie-index has 964 entries (964 at peak, 978 added, 14 deleted).
% 2.05/2.26  ; Trie-index has 2,107 nodes (2,107 at peak, 2,138 added, 31 deleted).
% 2.05/2.26  ; Retrieved 425 generalization terms in 34,341 calls.
% 2.05/2.26  ; Retrieved 308 instance terms in 308 calls.
% 2.05/2.26  ; Retrieved 36,882 unifiable terms in 2,163 calls.
% 2.05/2.26  ; 
% 2.05/2.26  ; The agenda of input rows to give has 2632 entries:
% 2.05/2.26  ;     9 with value 17             13 with value 50              43 with value 83
% 2.05/2.26  ;     8 with value 18             20 with value 51              58 with value 84
% 2.05/2.26  ;     9 with value 19             21 with value 52              59 with value 85
% 2.05/2.26  ;    10 with value 20             26 with value 53              51 with value 86
% 2.05/2.26  ;    10 with value 21             20 with value 54              55 with value 87
% 2.05/2.26  ;     8 with value 22             35 with value 55              44 with value 88
% 2.05/2.26  ;     2 with value 23             39 with value 56              59 with value 89
% 2.05/2.26  ;    12 with value 24             36 with value 57              54 with value 90
% 2.05/2.26  ;    13 with value 25             32 with value 58              34 with value 91
% 2.05/2.26  ;     4 with value 26             29 with value 59              39 with value 92
% 2.05/2.26  ;     4 with value 27             42 with value 60              41 with value 93
% 2.05/2.26  ;     6 with value 28             37 with value 61              36 with value 94
% 2.05/2.26  ;     4 with value 29             26 with value 62              27 with value 95
% 2.05/2.26  ;     7 with value 30             28 with value 63              27 with value 96
% 2.05/2.26  ;     9 with value 31             40 with value 64              35 with value 97
% 2.05/2.26  ;     8 with value 32             39 with value 65              27 with value 98
% 2.05/2.26  ;     6 with value 33             44 with value 66              19 with value 99
% 2.05/2.26  ;     5 with value 34             39 with value 67              28 with value 100
% 2.05/2.26  ;     8 with value 35             53 with value 68              22 with value 101
% 2.05/2.26  ;     4 with value 36             62 with value 69              15 with value 102
% 2.05/2.26  ;     3 with value 37             49 with value 70              21 with value 103
% 2.05/2.26  ;     3 with value 38             59 with value 71              14 with value 104
% 2.05/2.26  ;    10 with value 39             64 with value 72              14 with value 105
% 2.05/2.26  ;     7 with value 40             72 with value 73              15 with value 106
% 2.05/2.26  ;     9 with value 41             70 with value 74              11 with value 107
% 2.05/2.26  ;     6 with value 42             58 with value 75              10 with value 108
% 2.05/2.26  ;     9 with value 43             70 with value 76               8 with value 109
% 2.05/2.26  ;    14 with value 44             68 with value 77              12 with value 110
% 2.05/2.26  ;    10 with value 45             54 with value 78               3 with value 111
% 2.05/2.26  ;     7 with value 46             52 with value 79               2 with value 112
% 2.05/2.26  ;    16 with value 47             60 with value 80               8 with value 113
% 2.05/2.26  ;    20 with value 48             59 with value 81               2 with value 116
% 2.05/2.26  ;    12 with value 49             51 with value 82
% 2.05/2.26  ; The agenda of rows to give has 246 entries:
% 2.05/2.26  ;    16 with value (4 4)          11 with value (4 9)            5 with value (4 13)
% 2.05/2.26  ;    42 with value (4 5)           6 with value (4 10)           1 with value (4 15)
% 2.05/2.26  ;    28 with value (4 6)           9 with value (4 11)           1 with value (4 19)
% 2.05/2.26  ;   102 with value (4 7)          10 with value (4 12)           1 with value (4 24)
% 2.05/2.26  ;    14 with value (4 8)
% 2.05/2.26  Evaluation took:
% 2.05/2.26    1.794 seconds of real time
% 2.05/2.26    1.731117 seconds of user run time
% 2.05/2.26    0.063118 seconds of system run time
% 2.05/2.26    [Run times include 0.117 seconds GC run time.]
% 2.05/2.26    0 calls to %EVAL
% 2.05/2.26    0 page faults and
% 2.05/2.26    187,154,488 bytes consed.
% 2.05/2.26  :PROOF-FOUND
% 2.05/2.26  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:00:39
% 2.05/2.26  :PROOF-FOUND
% 2.05/2.26  * 
%------------------------------------------------------------------------------