TSTP Solution File: SET063+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 05:06:41 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   2 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    subset(empty_set,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_subset) ).

cnf(7,axiom,
    ( X = Y
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).

cnf(11,negated_conjecture,
    subset('SKOLEMAAAV3',empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_of_empty_set_is_empty_set) ).

cnf(12,negated_conjecture,
    'SKOLEMAAAV3' != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_of_empty_set_is_empty_set) ).

cnf(17,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[7,12,11,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 21:44:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T21:44:51
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-10T21:44:51
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        50 formulas have been input or derived (from 13 formulas).
% 0.19/0.49  ;        17 (34%) were retained.  Of these,
% 0.19/0.49  ;           17 (100%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   4%   Assert                       (7 calls)
% 0.19/0.49  ;     0.001   4%   Process new row              (23 calls)
% 0.19/0.49  ;     0.000   0%   Resolution                   (24 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (12 calls)
% 0.19/0.49  ;     0.000   0%   Factoring                    (2 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (10 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.19/0.49  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.49  ;     0.001   4%   Forward simplification       (23 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (17 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (4 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.021  81%   Other
% 0.19/0.49  ;     0.026        Total
% 0.19/0.49  ;     0.028        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 21 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 20 nodes (20 at peak, 20 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 3 possibly forward subsuming rows in 10 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.19/0.49  ; Path-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.19/0.49  ; Path-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.19/0.49  ; Retrieved 6 generalization terms in 28 calls.
% 0.19/0.49  ; Retrieved 11 instance terms in 8 calls.
% 0.19/0.49  ; Retrieved 161 unifiable terms in 69 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 16 entries:
% 0.19/0.49  ;     9 with value 5               6 with value 12               1 with value 19
% 0.19/0.49  ; The agenda of rows to give has 4 entries:
% 0.19/0.49  ;     2 with value (4 4)           1 with value (4 5)            1 with value (4 17)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.029 seconds of real time
% 0.19/0.49    0.024928 seconds of user run time
% 0.19/0.49    0.003852 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,514,480 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T21:44:51
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------