TSTP Solution File: NUM604+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM604+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:12:07 EDT 2022

% Result   : Theorem 2.02s 2.19s
% Output   : Refutation 2.02s
% 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;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 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(2854,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).

cnf(2855,hypothesis,
    sdtlpdtrp0(xe,xi) = xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).

cnf(2856,hypothesis,
    ( ~ aElementOf0(X,sdtlpdtrp0(xN,xi))
    | aElementOf0(X,xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5045) ).

cnf(2858,negated_conjecture,
    ~ aElementOf0(xx,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2953,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,xi)),
    inference('UR-RESOLVE',[status(thm)],[2856,2858]) ).

cnf(2974,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2807,2854]),2953,2855,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM604+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Wed Jul  6 19:29:29 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-06T19:29:29
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-06T19:29:29
% 2.02/2.19  
% 2.02/2.19  
% 2.02/2.19  #||
% 2.02/2.19  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/2.19  % SZS output start Refutation
% See solution above
% 2.02/2.19  ||#
% 2.02/2.19  
% 2.02/2.19  ; Summary of computation:
% 2.02/2.19  ;      3763 formulas have been input or derived (from 86 formulas).
% 2.02/2.19  ;      2974 (79%) were retained.  Of these,
% 2.02/2.19  ;          112 ( 4%) were simplified or subsumed later,
% 2.02/2.19  ;         2862 (96%) are still being kept.
% 2.02/2.19  ; 
% 2.02/2.19  ; Run time in seconds:
% 2.02/2.19  ;     0.043   3%   Read assertion file          (1 call)
% 2.02/2.19  ;     0.117   7%   Assert                       (101 calls)
% 2.02/2.19  ;     0.324  19%   Process new row              (3,697 calls)
% 2.02/2.19  ;     0.074   4%   Resolution                   (170 calls)
% 2.02/2.19  ;     0.000   0%   Paramodulation               (85 calls)
% 2.02/2.19  ;     0.102   6%   Condensing                   (3,419 calls)
% 2.02/2.19  ;     0.670  39%   Forward subsumption          (3,419 calls)
% 2.02/2.19  ;     0.139   8%   Backward subsumption         (2,777 calls)
% 2.02/2.19  ;     0.015   1%   Clause clause subsumption    (3,706 calls)
% 2.02/2.19  ;     0.157   9%   Forward simplification       (3,697 calls)
% 2.02/2.19  ;     0.004   0%   Backward simplification      (2,932 calls)
% 2.02/2.19  ;     0.000   0%   Ordering                     (73 calls)
% 2.02/2.19  ;     0.001   0%   Sortal reasoning             (32 calls)
% 2.02/2.19  ;     0.023   1%   Purity testing               (1 call)
% 2.02/2.19  ;     0.042   2%   Other
% 2.02/2.19  ;     1.711        Total
% 2.02/2.19  ;     1.711        Real time
% 2.02/2.19  ; 
% 2.02/2.19  ; Term-hash-array has 704 terms in all.
% 2.02/2.19  ; Feature-vector-row-index has 2,707 entries (2,707 at peak, 2,777 added, 70 deleted).
% 2.02/2.19  ; Feature-vector-row-index has 37,101 nodes (37,101 at peak, 38,296 added, 1,195 deleted).
% 2.02/2.19  ;  Retrieved 5,307 possibly forward subsuming rows in 3,419 calls.
% 2.02/2.19  ;  Retrieved 437 possibly backward subsumed rows in 2,777 calls.
% 2.02/2.19  ; Path-index has 716 entries (716 at peak, 724 added, 8 deleted).
% 2.02/2.19  ; Path-index has 1,747 nodes (1,747 at peak, 1,751 added, 4 deleted).
% 2.02/2.19  ; Trie-index has 716 entries (716 at peak, 724 added, 8 deleted).
% 2.02/2.19  ; Trie-index has 1,659 nodes (1,659 at peak, 1,668 added, 9 deleted).
% 2.02/2.19  ; Retrieved 177 generalization terms in 33,702 calls.
% 2.02/2.19  ; Retrieved 154 instance terms in 154 calls.
% 2.02/2.19  ; Retrieved 12,389 unifiable terms in 783 calls.
% 2.02/2.19  ; 
% 2.02/2.19  ; The agenda of rows to process has 4 entries:
% 2.02/2.19  ;     4 with value 10
% 2.02/2.19  ; The agenda of input rows to give has 2661 entries:
% 2.02/2.19  ;     4 with value 13             16 with value 47              59 with value 81
% 2.02/2.19  ;     6 with value 14             20 with value 48              51 with value 82
% 2.02/2.19  ;    10 with value 15             12 with value 49              43 with value 83
% 2.02/2.19  ;     9 with value 16             13 with value 50              58 with value 84
% 2.02/2.19  ;     9 with value 17             20 with value 51              59 with value 85
% 2.02/2.19  ;     8 with value 18             21 with value 52              51 with value 86
% 2.02/2.19  ;     9 with value 19             26 with value 53              55 with value 87
% 2.02/2.19  ;    10 with value 20             20 with value 54              44 with value 88
% 2.02/2.19  ;    10 with value 21             35 with value 55              59 with value 89
% 2.02/2.19  ;     8 with value 22             39 with value 56              54 with value 90
% 2.02/2.19  ;     2 with value 23             36 with value 57              34 with value 91
% 2.02/2.19  ;    12 with value 24             32 with value 58              39 with value 92
% 2.02/2.19  ;    13 with value 25             29 with value 59              41 with value 93
% 2.02/2.19  ;     4 with value 26             42 with value 60              36 with value 94
% 2.02/2.19  ;     4 with value 27             37 with value 61              27 with value 95
% 2.02/2.19  ;     6 with value 28             26 with value 62              27 with value 96
% 2.02/2.19  ;     4 with value 29             28 with value 63              35 with value 97
% 2.02/2.19  ;     7 with value 30             40 with value 64              27 with value 98
% 2.02/2.19  ;     9 with value 31             39 with value 65              19 with value 99
% 2.02/2.19  ;     8 with value 32             44 with value 66              28 with value 100
% 2.02/2.19  ;     6 with value 33             39 with value 67              22 with value 101
% 2.02/2.19  ;     5 with value 34             53 with value 68              15 with value 102
% 2.02/2.19  ;     8 with value 35             62 with value 69              21 with value 103
% 2.02/2.19  ;     4 with value 36             49 with value 70              14 with value 104
% 2.02/2.19  ;     3 with value 37             59 with value 71              14 with value 105
% 2.02/2.19  ;     3 with value 38             64 with value 72              15 with value 106
% 2.02/2.19  ;    10 with value 39             72 with value 73              11 with value 107
% 2.02/2.19  ;     7 with value 40             70 with value 74              10 with value 108
% 2.02/2.19  ;     9 with value 41             58 with value 75               8 with value 109
% 2.02/2.19  ;     6 with value 42             70 with value 76              12 with value 110
% 2.02/2.19  ;     9 with value 43             68 with value 77               3 with value 111
% 2.02/2.19  ;    14 with value 44             54 with value 78               2 with value 112
% 2.02/2.19  ;    10 with value 45             52 with value 79               8 with value 113
% 2.02/2.19  ;     7 with value 46             60 with value 80               2 with value 116
% 2.02/2.19  ; The agenda of rows to give has 115 entries:
% 2.02/2.19  ;    11 with value (4 4)           5 with value (4 8)            2 with value (4 13)
% 2.02/2.19  ;    20 with value (4 5)           5 with value (4 9)            1 with value (4 15)
% 2.02/2.19  ;    20 with value (4 6)           4 with value (4 10)           1 with value (4 19)
% 2.02/2.19  ;    43 with value (4 7)           2 with value (4 11)           1 with value (4 24)
% 2.02/2.19  Evaluation took:
% 2.02/2.19    1.716 seconds of real time
% 2.02/2.19    1.64382 seconds of user run time
% 2.02/2.19    0.072034 seconds of system run time
% 2.02/2.19    [Run times include 0.115 seconds GC run time.]
% 2.02/2.19    0 calls to %EVAL
% 2.02/2.19    0 page faults and
% 2.02/2.19    184,696,960 bytes consed.
% 2.02/2.19  :PROOF-FOUND
% 2.02/2.19  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T19:29:31
% 2.02/2.19  :PROOF-FOUND
% 2.02/2.19  * 
%------------------------------------------------------------------------------