TSTP Solution File: SET086+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 : Tue Jul 19 05:07:07 EDT 2022

% Result   : Theorem 0.43s 0.62s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   3 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   5 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    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(92,negated_conjecture,
    ( ~ member(X,universal_class)
    | 'SKOLEMAAAV8' != singleton(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_substitution) ).

cnf(93,negated_conjecture,
    ( member('SKOLEMAAAV9',universal_class)
    | X != 'SKOLEMAAAV8' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_substitution) ).

cnf(94,negated_conjecture,
    ( 'SKOLEMAAAV8' = singleton('SKOLEMAAAV9')
    | X != 'SKOLEMAAAV8' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_substitution) ).

cnf(100,plain,
    member('SKOLEMAAAV9',universal_class),
    inference('HYPERRESOLVE',[status(thm)],[93,theory(equality)]) ).

cnf(116,plain,
    'SKOLEMAAAV8' = singleton('SKOLEMAAAV9'),
    inference('HYPERRESOLVE',[status(thm)],[94,theory(equality)]) ).

cnf(464,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[92,100]),116,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 10:57:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:57:08
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-10T10:57:08
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  #||
% 0.43/0.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.62  % SZS output start Refutation
% See solution above
% 0.43/0.62  ||#
% 0.43/0.62  
% 0.43/0.62  ; Summary of computation:
% 0.43/0.62  ;       776 formulas have been input or derived (from 96 formulas).
% 0.43/0.62  ;       464 (60%) were retained.  Of these,
% 0.43/0.62  ;           16 ( 3%) were simplified or subsumed later,
% 0.43/0.62  ;          448 (97%) are still being kept.
% 0.43/0.62  ; 
% 0.43/0.62  ; Run time in seconds:
% 0.43/0.62  ;     0.010   7%   Read assertion file          (1 call)
% 0.43/0.62  ;     0.003   2%   Assert                       (44 calls)
% 0.43/0.62  ;     0.040  29%   Process new row              (619 calls)
% 0.43/0.62  ;     0.018  13%   Resolution                   (190 calls)
% 0.43/0.62  ;     0.000   0%   Paramodulation               (95 calls)
% 0.43/0.62  ;     0.000   0%   Factoring                    (6 calls)
% 0.43/0.62  ;     0.003   2%   Condensing                   (409 calls)
% 0.43/0.62  ;     0.014  10%   Forward subsumption          (409 calls)
% 0.43/0.62  ;     0.008   6%   Backward subsumption         (350 calls)
% 0.43/0.62  ;     0.002   1%   Clause clause subsumption    (776 calls)
% 0.43/0.62  ;     0.012   9%   Forward simplification       (619 calls)
% 0.43/0.62  ;     0.001   1%   Backward simplification      (461 calls)
% 0.43/0.62  ;     0.002   1%   Ordering                     (734 calls)
% 0.43/0.62  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.43/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.43/0.62  ;     0.024  17%   Other
% 0.43/0.62  ;     0.139        Total
% 0.43/0.62  ;     0.152        Real time
% 0.43/0.62  ; 
% 0.43/0.62  ; Term-hash-array has 1,040 terms in all.
% 0.43/0.62  ; Feature-vector-row-index has 340 entries (340 at peak, 350 added, 10 deleted).
% 0.43/0.62  ; Feature-vector-row-index has 1,249 nodes (1,249 at peak, 1,277 added, 28 deleted).
% 0.43/0.62  ;  Retrieved 828 possibly forward subsuming rows in 409 calls.
% 0.43/0.62  ;  Retrieved 300 possibly backward subsumed rows in 350 calls.
% 0.43/0.62  ; Path-index has 1,029 entries (1,029 at peak, 1,054 added, 25 deleted).
% 0.43/0.62  ; Path-index has 2,406 nodes (2,406 at peak, 2,432 added, 26 deleted).
% 0.43/0.62  ; Trie-index has 1,029 entries (1,029 at peak, 1,054 added, 25 deleted).
% 0.43/0.62  ; Trie-index has 3,144 nodes (3,144 at peak, 3,209 added, 65 deleted).
% 0.43/0.62  ; Retrieved 284 generalization terms in 1,726 calls.
% 0.43/0.62  ; Retrieved 126 instance terms in 110 calls.
% 0.43/0.62  ; Retrieved 19,804 unifiable terms in 912 calls.
% 0.43/0.62  ; 
% 0.43/0.62  ; The agenda of rows to process has 102 entries:
% 0.43/0.62  ;     6 with value 8              10 with value 14              12 with value 18
% 0.43/0.62  ;    16 with value 9               4 with value 15               5 with value 20
% 0.43/0.62  ;    28 with value 11              6 with value 16               1 with value 33
% 0.43/0.62  ;     1 with value 12              8 with value 17               2 with value 34
% 0.43/0.62  ;     3 with value 13
% 0.43/0.62  ; The agenda of rows to give has 354 entries:
% 0.43/0.62  ;     5 with value (4 5)          27 with value (4 17)           6 with value (4 28)
% 0.43/0.62  ;     3 with value (4 6)          19 with value (4 18)           2 with value (4 29)
% 0.43/0.62  ;    11 with value (4 7)          24 with value (4 19)           2 with value (4 30)
% 0.43/0.62  ;    21 with value (4 8)          17 with value (4 20)           1 with value (4 31)
% 0.43/0.62  ;     6 with value (4 9)          18 with value (4 21)           4 with value (4 32)
% 0.43/0.62  ;    12 with value (4 10)         19 with value (4 22)           2 with value (4 33)
% 0.43/0.62  ;    12 with value (4 11)         17 with value (4 23)           1 with value (4 40)
% 0.43/0.62  ;    10 with value (4 12)         10 with value (4 24)           3 with value (4 41)
% 0.43/0.62  ;    28 with value (4 13)         10 with value (4 25)           2 with value (4 42)
% 0.43/0.62  ;    24 with value (4 14)          6 with value (4 26)           2 with value (4 44)
% 0.43/0.62  ;    13 with value (4 15)          4 with value (4 27)           4 with value (4 45)
% 0.43/0.62  ;     9 with value (4 16)
% 0.43/0.62  Evaluation took:
% 0.43/0.62    0.152 seconds of real time
% 0.43/0.62    0.127914 seconds of user run time
% 0.43/0.62    0.01231 seconds of system run time
% 0.43/0.62    0 calls to %EVAL
% 0.43/0.62    0 page faults and
% 0.43/0.62    8,882,664 bytes consed.
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:57:08
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  * 
%------------------------------------------------------------------------------