TSTP Solution File: SET924+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 05:13:27 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   3 unt;   1 nHn;   6 RR)
%            Number of literals    :   11 (   5 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,negated_conjecture,
    ( set_difference(singleton('SKOLEMAAAV3'),'SKOLEMAAAV4') != singleton('SKOLEMAAAV3')
    | in('SKOLEMAAAV3','SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_zfmisc_1) ).

cnf(5,negated_conjecture,
    ( set_difference(singleton('SKOLEMAAAV3'),'SKOLEMAAAV4') = singleton('SKOLEMAAAV3')
    | ~ in('SKOLEMAAAV3','SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_zfmisc_1) ).

cnf(6,axiom,
    ( set_difference(singleton(X),Y) != singleton(X)
    | ~ in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).

cnf(7,axiom,
    ( set_difference(singleton(X),Y) = singleton(X)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).

cnf(8,plain,
    set_difference(singleton('SKOLEMAAAV3'),'SKOLEMAAAV4') = singleton('SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[5,7]) ).

cnf(9,plain,
    in('SKOLEMAAAV3','SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[4,8,theory(equality)]) ).

cnf(13,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,9]),8,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n009.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 : Sun Jul 10 15:32:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:32:07
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-10T15:32:07
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        17 formulas have been input or derived (from 9 formulas).
% 0.19/0.50  ;        13 (76%) were retained.  Of these,
% 0.19/0.50  ;            2 (15%) were simplified or subsumed later,
% 0.19/0.50  ;           11 (85%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (5 calls)
% 0.19/0.50  ;     0.001   4%   Process new row              (14 calls)
% 0.19/0.50  ;     0.002   8%   Resolution                   (16 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (8 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.50  ;     0.000   0%   Condensing                   (6 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (14 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (13 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (9 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.001   4%   Purity testing               (1 call)
% 0.19/0.50  ;     0.021  81%   Other
% 0.19/0.50  ;     0.026        Total
% 0.19/0.50  ;     0.028        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 18 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 4 entries (5 at peak, 6 added, 2 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 20 nodes (42 at peak, 48 added, 28 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.19/0.50  ; Path-index has 22 entries (22 at peak, 23 added, 1 deleted).
% 0.19/0.50  ; Path-index has 46 nodes (46 at peak, 48 added, 2 deleted).
% 0.19/0.50  ; Trie-index has 22 entries (22 at peak, 23 added, 1 deleted).
% 0.19/0.50  ; Trie-index has 42 nodes (42 at peak, 44 added, 2 deleted).
% 0.19/0.50  ; Retrieved 2 generalization terms in 7 calls.
% 0.19/0.50  ; Retrieved 6 instance terms in 6 calls.
% 0.19/0.50  ; Retrieved 56 unifiable terms in 45 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to give has 4 entries:
% 0.19/0.50  ;     1 with value (4 5)           2 with value (4 11)           1 with value (4 21)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.028 seconds of real time
% 0.19/0.50    0.023194 seconds of user run time
% 0.19/0.50    0.005204 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    1,760,248 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:32:07
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------