TSTP Solution File: NUM613+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM613+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:12:14 EDT 2022

% Result   : Theorem 2.13s 2.38s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   12 (   7 equ;   4 neg)
%            Maximal clause size   :    4 (   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; 0-1 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(45,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | szszuzczcdt0(X) != szszuzczcdt0(Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).

cnf(2555,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).

cnf(2556,hypothesis,
    szszuzczcdt0(xk) = xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).

cnf(2856,hypothesis,
    sbrdtbr0(xQ) = xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).

cnf(2883,hypothesis,
    szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5255) ).

cnf(2884,plain,
    szszuzczcdt0(sbrdtbr0(xP)) = xK,
    inference('REWRITE',[status(thm)],[2883,2856,theory(equality)]) ).

cnf(2885,hypothesis,
    aElementOf0(sbrdtbr0(xP),szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5255) ).

cnf(2886,negated_conjecture,
    sbrdtbr0(xP) != xk,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(3175,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[45,2555,2885,2886]),2884,2556,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM613+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.14/0.37  % Computer : n011.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Thu Jul  7 17:20:54 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.21/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51  * 
% 0.21/0.51  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (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  * 
% 0.21/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T17:20:54
% 0.21/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-07T17:20:54
% 2.13/2.38  
% 2.13/2.38  
% 2.13/2.38  #||
% 2.13/2.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.38  % SZS output start Refutation
% See solution above
% 2.13/2.38  ||#
% 2.13/2.38  
% 2.13/2.38  ; Summary of computation:
% 2.13/2.38  ;      4174 formulas have been input or derived (from 156 formulas).
% 2.13/2.38  ;      3175 (76%) were retained.  Of these,
% 2.13/2.38  ;          121 ( 4%) were simplified or subsumed later,
% 2.13/2.38  ;         3054 (96%) are still being kept.
% 2.13/2.38  ; 
% 2.13/2.38  ; Run time in seconds excluding printing time:
% 2.13/2.38  ;     0.046   2%   Read assertion file          (1 call)
% 2.13/2.38  ;     0.135   7%   Assert                       (110 calls)
% 2.13/2.38  ;     0.324  17%   Process new row              (4,065 calls)
% 2.13/2.38  ;     0.152   8%   Resolution                   (310 calls)
% 2.13/2.38  ;     0.001   0%   Paramodulation               (155 calls)
% 2.13/2.38  ;     0.131   7%   Condensing                   (3,514 calls)
% 2.13/2.38  ;     0.673  36%   Forward subsumption          (3,514 calls)
% 2.13/2.38  ;     0.151   8%   Backward subsumption         (2,866 calls)
% 2.13/2.38  ;     0.015   1%   Clause clause subsumption    (3,714 calls)
% 2.13/2.38  ;     0.169   9%   Forward simplification       (4,065 calls)
% 2.13/2.38  ;     0.004   0%   Backward simplification      (3,128 calls)
% 2.13/2.38  ;     0.000   0%   Ordering                     (208 calls)
% 2.13/2.38  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.13/2.38  ;     0.025   1%   Purity testing               (1 call)
% 2.13/2.38  ;     0.039   2%   Other
% 2.13/2.38  ;     1.865        Total
% 2.13/2.38  ;     1.867        Real time
% 2.13/2.38  ; 
% 2.13/2.39  ; Term-hash-array has 1,109 terms in all.
% 2.13/2.39  ; Feature-vector-row-index has 2,796 entries (2,796 at peak, 2,866 added, 70 deleted).
% 2.13/2.39  ; Feature-vector-row-index has 37,619 nodes (37,619 at peak, 38,814 added, 1,195 deleted).
% 2.13/2.39  ;  Retrieved 5,347 possibly forward subsuming rows in 3,514 calls.
% 2.13/2.39  ;  Retrieved 561 possibly backward subsumed rows in 2,866 calls.
% 2.13/2.39  ; Path-index has 1,119 entries (1,119 at peak, 1,131 added, 12 deleted).
% 2.13/2.39  ; Path-index has 2,116 nodes (2,116 at peak, 2,124 added, 8 deleted).
% 2.13/2.39  ; Trie-index has 1,119 entries (1,119 at peak, 1,131 added, 12 deleted).
% 2.23/2.41  ; Trie-index has 2,689 nodes (2,689 at peak, 2,714 added, 25 deleted).
% 2.23/2.41  ; Retrieved 408 generalization terms in 34,587 calls.
% 2.23/2.41  ; Retrieved 261 instance terms in 261 calls.
% 2.23/2.41  ; Retrieved 60,389 unifiable terms in 2,960 calls.
% 2.23/2.41  ; 
% 2.23/2.41  ; The agenda of rows to process has 4 entries:
% 2.23/2.41  ;     2 with value 19              2 with value 23
% 2.23/2.41  ; The agenda of input rows to give has 2614 entries:
% 2.23/2.41  ;     8 with value 19             20 with value 51              43 with value 83
% 2.23/2.41  ;    10 with value 20             21 with value 52              58 with value 84
% 2.23/2.41  ;    10 with value 21             26 with value 53              59 with value 85
% 2.23/2.41  ;     8 with value 22             20 with value 54              51 with value 86
% 2.23/2.41  ;     2 with value 23             35 with value 55              55 with value 87
% 2.23/2.41  ;    12 with value 24             39 with value 56              44 with value 88
% 2.23/2.41  ;    13 with value 25             36 with value 57              59 with value 89
% 2.23/2.41  ;     4 with value 26             32 with value 58              54 with value 90
% 2.23/2.41  ;     4 with value 27             29 with value 59              34 with value 91
% 2.23/2.41  ;     6 with value 28             42 with value 60              39 with value 92
% 2.23/2.41  ;     4 with value 29             37 with value 61              41 with value 93
% 2.23/2.41  ;     7 with value 30             26 with value 62              36 with value 94
% 2.23/2.41  ;     9 with value 31             28 with value 63              27 with value 95
% 2.23/2.41  ;     8 with value 32             40 with value 64              27 with value 96
% 2.23/2.41  ;     6 with value 33             39 with value 65              35 with value 97
% 2.23/2.41  ;     5 with value 34             44 with value 66              27 with value 98
% 2.23/2.41  ;     8 with value 35             39 with value 67              19 with value 99
% 2.23/2.41  ;     4 with value 36             53 with value 68              28 with value 100
% 2.23/2.41  ;     3 with value 37             62 with value 69              22 with value 101
% 2.23/2.41  ;     3 with value 38             49 with value 70              15 with value 102
% 2.23/2.41  ;    10 with value 39             59 with value 71              21 with value 103
% 2.23/2.41  ;     7 with value 40             64 with value 72              14 with value 104
% 2.23/2.41  ;     9 with value 41             72 with value 73              14 with value 105
% 2.23/2.41  ;     6 with value 42             70 with value 74              15 with value 106
% 2.23/2.41  ;     9 with value 43             58 with value 75              11 with value 107
% 2.23/2.41  ;    14 with value 44             70 with value 76              10 with value 108
% 2.23/2.41  ;    10 with value 45             68 with value 77               8 with value 109
% 2.23/2.41  ;     7 with value 46             54 with value 78              12 with value 110
% 2.23/2.41  ;    16 with value 47             52 with value 79               3 with value 111
% 2.23/2.41  ;    20 with value 48             60 with value 80               2 with value 112
% 2.23/2.41  ;    12 with value 49             59 with value 81               8 with value 113
% 2.23/2.41  ;    13 with value 50             51 with value 82               2 with value 116
% 2.23/2.41  ; The agenda of rows to give has 284 entries:
% 2.23/2.41  ;    13 with value (4 4)          35 with value (4 12)           5 with value (4 20)
% 2.23/2.41  ;    30 with value (4 5)           7 with value (4 13)          12 with value (4 22)
% 2.23/2.41  ;    17 with value (4 6)           8 with value (4 14)           1 with value (4 24)
% 2.23/2.41  ;    61 with value (4 7)           7 with value (4 15)          11 with value (4 25)
% 2.23/2.41  ;    11 with value (4 8)           2 with value (4 17)           2 with value (4 28)
% 2.23/2.41  ;    21 with value (4 9)           8 with value (4 18)           2 with value (4 29)
% 2.23/2.41  ;    10 with value (4 10)          2 with value (4 19)           2 with value (4 31)
% 2.23/2.41  ;    17 with value (4 11)
% 2.23/2.41  Evaluation took:
% 2.23/2.41    1.898 seconds of real time
% 2.23/2.41    1.823107 seconds of user run time
% 2.23/2.41    0.074594 seconds of system run time
% 2.23/2.41    [Run times include 0.152 seconds GC run time.]
% 2.23/2.41    0 calls to %EVAL
% 2.23/2.41    0 page faults and
% 2.23/2.41    188,792,008 bytes consed.
% 2.23/2.41  :PROOF-FOUND
% 2.23/2.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T17:20:56
% 2.23/2.41  :PROOF-FOUND
% 2.23/2.41  * 
%------------------------------------------------------------------------------