TSTP Solution File: NUM606+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:12:08 EDT 2022

% Result   : Theorem 2.19s 2.37s
% Output   : Refutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   11 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   16 (   0 equ;   6 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    ( ~ aSet0(X)
    | ~ aSet0(Y)
    | ~ aSet0(Z)
    | ~ aSubsetOf0(X,Y)
    | ~ aSubsetOf0(Y,Z)
    | aSubsetOf0(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).

cnf(40,axiom,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

cnf(141,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

cnf(143,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

cnf(2835,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

cnf(2852,hypothesis,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).

cnf(2853,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

cnf(2855,hypothesis,
    aSubsetOf0(xQ,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

cnf(2862,negated_conjecture,
    ~ aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(3119,plain,
    aSubsetOf0(xO,szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[15,2835,141,40,2852,143]) ).

cnf(3120,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,2853,2835,40,2855,2862]),3119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jul  7 18:39:35 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T18:39:35
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T18:39:35
% 2.19/2.37  
% 2.19/2.37  
% 2.19/2.37  #||
% 2.19/2.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.19/2.37  % SZS output start Refutation
% See solution above
% 2.24/2.40  ||#
% 2.24/2.40  
% 2.24/2.40  ; Summary of computation:
% 2.24/2.40  ;      4023 formulas have been input or derived (from 156 formulas).
% 2.24/2.40  ;      3120 (78%) were retained.  Of these,
% 2.24/2.40  ;          118 ( 4%) were simplified or subsumed later,
% 2.24/2.40  ;         3002 (96%) are still being kept.
% 2.24/2.40  ; 
% 2.24/2.40  ; Run time in seconds excluding printing time:
% 2.24/2.40  ;     0.044   2%   Read assertion file          (1 call)
% 2.24/2.40  ;     0.119   6%   Assert                       (101 calls)
% 2.24/2.40  ;     0.315  17%   Process new row              (3,955 calls)
% 2.24/2.40  ;     0.163   9%   Resolution                   (310 calls)
% 2.24/2.40  ;     0.003   0%   Paramodulation               (155 calls)
% 2.24/2.40  ;     0.103   6%   Condensing                   (3,508 calls)
% 2.24/2.40  ;     0.689  37%   Forward subsumption          (3,508 calls)
% 2.24/2.40  ;     0.162   9%   Backward subsumption         (2,859 calls)
% 2.24/2.40  ;     0.029   2%   Clause clause subsumption    (3,722 calls)
% 2.24/2.40  ;     0.166   9%   Forward simplification       (3,955 calls)
% 2.24/2.40  ;     0.004   0%   Backward simplification      (3,078 calls)
% 2.24/2.40  ;     0.000   0%   Ordering                     (187 calls)
% 2.24/2.40  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.24/2.40  ;     0.024   1%   Purity testing               (1 call)
% 2.24/2.40  ;     0.038   2%   Other
% 2.24/2.40  ;     1.859        Total
% 2.24/2.40  ;     1.887        Real time
% 2.24/2.40  ; 
% 2.24/2.41  ; Term-hash-array has 1,013 terms in all.
% 2.24/2.41  ; Feature-vector-row-index has 2,786 entries (2,789 at peak, 2,859 added, 73 deleted).
% 2.24/2.41  ; Feature-vector-row-index has 37,655 nodes (37,665 at peak, 38,860 added, 1,205 deleted).
% 2.24/2.41  ;  Retrieved 5,342 possibly forward subsuming rows in 3,508 calls.
% 2.24/2.41  ;  Retrieved 452 possibly backward subsumed rows in 2,859 calls.
% 2.24/2.41  ; Path-index has 1,018 entries (1,022 at peak, 1,034 added, 16 deleted).
% 2.24/2.41  ; Path-index has 2,001 nodes (2,001 at peak, 2,008 added, 7 deleted).
% 2.24/2.41  ; Trie-index has 1,018 entries (1,022 at peak, 1,034 added, 16 deleted).
% 2.24/2.41  ; Trie-index has 2,450 nodes (2,456 at peak, 2,477 added, 27 deleted).
% 2.24/2.41  ; Retrieved 351 generalization terms in 34,375 calls.
% 2.24/2.41  ; Retrieved 218 instance terms in 218 calls.
% 2.24/2.41  ; Retrieved 87,128 unifiable terms in 5,157 calls.
% 2.24/2.41  ; 
% 2.24/2.41  ; The agenda of rows to process has 2 entries:
% 2.24/2.41  ;     2 with value 5
% 2.24/2.41  ; The agenda of input rows to give has 2595 entries:
% 2.24/2.41  ;     9 with value 21             26 with value 53              58 with value 84
% 2.24/2.41  ;     8 with value 22             20 with value 54              59 with value 85
% 2.24/2.41  ;     2 with value 23             35 with value 55              51 with value 86
% 2.24/2.41  ;    12 with value 24             39 with value 56              55 with value 87
% 2.24/2.41  ;    13 with value 25             36 with value 57              44 with value 88
% 2.24/2.41  ;     4 with value 26             32 with value 58              59 with value 89
% 2.24/2.41  ;     4 with value 27             29 with value 59              54 with value 90
% 2.24/2.41  ;     6 with value 28             42 with value 60              34 with value 91
% 2.24/2.41  ;     4 with value 29             37 with value 61              39 with value 92
% 2.24/2.41  ;     7 with value 30             26 with value 62              41 with value 93
% 2.24/2.41  ;     9 with value 31             28 with value 63              36 with value 94
% 2.24/2.41  ;     8 with value 32             40 with value 64              27 with value 95
% 2.24/2.41  ;     6 with value 33             39 with value 65              27 with value 96
% 2.24/2.41  ;     5 with value 34             44 with value 66              35 with value 97
% 2.24/2.41  ;     8 with value 35             39 with value 67              27 with value 98
% 2.24/2.41  ;     4 with value 36             53 with value 68              19 with value 99
% 2.24/2.41  ;     3 with value 37             62 with value 69              28 with value 100
% 2.24/2.41  ;     3 with value 38             49 with value 70              22 with value 101
% 2.24/2.41  ;    10 with value 39             59 with value 71              15 with value 102
% 2.24/2.41  ;     7 with value 40             64 with value 72              21 with value 103
% 2.24/2.41  ;     9 with value 41             72 with value 73              14 with value 104
% 2.24/2.41  ;     6 with value 42             70 with value 74              14 with value 105
% 2.24/2.41  ;     9 with value 43             58 with value 75              15 with value 106
% 2.24/2.41  ;    14 with value 44             70 with value 76              11 with value 107
% 2.24/2.41  ;    10 with value 45             68 with value 77              10 with value 108
% 2.24/2.41  ;     7 with value 46             54 with value 78               8 with value 109
% 2.24/2.41  ;    16 with value 47             52 with value 79              12 with value 110
% 2.24/2.41  ;    20 with value 48             60 with value 80               3 with value 111
% 2.24/2.41  ;    12 with value 49             59 with value 81               2 with value 112
% 2.24/2.41  ;    13 with value 50             51 with value 82               8 with value 113
% 2.24/2.41  ;    20 with value 51             43 with value 83               2 with value 116
% 2.24/2.41  ;    21 with value 52
% 2.24/2.41  ; The agenda of rows to give has 251 entries:
% 2.24/2.41  ;    11 with value (4 4)          24 with value (4 12)           4 with value (4 20)
% 2.24/2.41  ;    24 with value (4 5)           4 with value (4 13)          10 with value (4 22)
% 2.24/2.41  ;    17 with value (4 6)          10 with value (4 14)           2 with value (4 24)
% 2.24/2.41  ;    61 with value (4 7)          15 with value (4 15)           9 with value (4 25)
% 2.24/2.41  ;     8 with value (4 8)           2 with value (4 16)           2 with value (4 28)
% 2.24/2.41  ;     9 with value (4 9)           1 with value (4 17)           2 with value (4 29)
% 2.24/2.41  ;     9 with value (4 10)          5 with value (4 18)           2 with value (4 31)
% 2.24/2.41  ;    19 with value (4 11)          1 with value (4 19)
% 2.24/2.41  Evaluation took:
% 2.24/2.41    1.891 seconds of real time
% 2.24/2.41    1.812603 seconds of user run time
% 2.24/2.41    0.077931 seconds of system run time
% 2.24/2.41    [Run times include 0.151 seconds GC run time.]
% 2.24/2.41    0 calls to %EVAL
% 2.24/2.41    0 page faults and
% 2.24/2.41    189,386,624 bytes consed.
% 2.24/2.41  :PROOF-FOUND
% 2.24/2.41  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T18:39:37
% 2.24/2.41  :PROOF-FOUND
% 2.24/2.41  * 
%------------------------------------------------------------------------------