TSTP Solution File: SET923+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:13:26 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   10 (   6 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ subset(X,singleton(Y))
    | X = empty_set
    | X = singleton(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).

cnf(8,axiom,
    ( set_difference(X,Y) != empty_set
    | subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).

cnf(10,negated_conjecture,
    set_difference('SKOLEMAAAV3',singleton('SKOLEMAAAV4')) = empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_zfmisc_1) ).

cnf(11,negated_conjecture,
    'SKOLEMAAAV3' != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_zfmisc_1) ).

cnf(12,negated_conjecture,
    'SKOLEMAAAV3' != singleton('SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_zfmisc_1) ).

cnf(14,plain,
    subset('SKOLEMAAAV3',singleton('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[8,10]) ).

cnf(16,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,11,12]),14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 09:14:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:14:27
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T09:14:27
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        26 formulas have been input or derived (from 13 formulas).
% 0.19/0.51  ;        16 (62%) were retained.  Of these,
% 0.19/0.51  ;           16 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (7 calls)
% 0.19/0.51  ;     0.000   0%   Process new row              (20 calls)
% 0.19/0.51  ;     0.001   4%   Resolution                   (24 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (12 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (5 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.19/0.51  ;     0.002   7%   Forward simplification       (20 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (16 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (10 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.023  82%   Other
% 0.19/0.51  ;     0.028        Total
% 0.19/0.51  ;     0.029        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 21 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 16 nodes (16 at peak, 16 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.51  ; Path-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51  ; Path-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.19/0.51  ; Retrieved 10 generalization terms in 15 calls.
% 0.19/0.51  ; Retrieved 13 instance terms in 10 calls.
% 0.19/0.51  ; Retrieved 95 unifiable terms in 57 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 14
% 0.19/0.51  ; The agenda of rows to give has 3 entries:
% 0.19/0.51  ;     2 with value (4 7)           1 with value (4 8)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.03 seconds of real time
% 0.19/0.51    0.025679 seconds of user run time
% 0.19/0.51    0.00413 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,620,976 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:14:27
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------