TSTP Solution File: SET063+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET063+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subclass(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

cnf(31,axiom,
    ~ member(X,null_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',null_class_defn) ).

cnf(87,axiom,
    ( X = null_class
    | member('SKOLEMAAAU6'(X),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).

cnf(92,negated_conjecture,
    subclass('SKOLEMAAAU8',null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).

cnf(93,negated_conjecture,
    'SKOLEMAAAU8' != null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).

cnf(111,plain,
    member('SKOLEMAAAU6'('SKOLEMAAAU8'),'SKOLEMAAAU8'),
    inference('UR-RESOLVE',[status(thm)],[87,93]) ).

cnf(159,plain,
    ~ member(X,'SKOLEMAAAU8'),
    inference('UR-RESOLVE',[status(thm)],[1,92,31]) ).

cnf(160,plain,
    $false,
    inference('REWRITE',[status(thm)],[111,159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET063+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  9 19:30:28 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:30:28
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-09T19:30:28
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  #||
% 0.20/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       234 formulas have been input or derived (from 47 formulas).
% 0.20/0.54  ;       160 (68%) were retained.  Of these,
% 0.20/0.54  ;            7 ( 4%) were simplified or subsumed later,
% 0.20/0.54  ;          153 (96%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.010  15%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.002   3%   Assert                       (44 calls)
% 0.20/0.54  ;     0.013  20%   Process new row              (185 calls)
% 0.20/0.54  ;     0.006   9%   Resolution                   (92 calls)
% 0.20/0.54  ;     0.000   0%   Paramodulation               (46 calls)
% 0.20/0.54  ;     0.000   0%   Factoring                    (6 calls)
% 0.20/0.54  ;     0.003   5%   Condensing                   (111 calls)
% 0.20/0.54  ;     0.002   3%   Forward subsumption          (111 calls)
% 0.20/0.54  ;     0.000   0%   Backward subsumption         (104 calls)
% 0.20/0.54  ;     0.001   2%   Clause clause subsumption    (118 calls)
% 0.20/0.54  ;     0.003   5%   Forward simplification       (185 calls)
% 0.20/0.54  ;     0.001   2%   Backward simplification      (157 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (104 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.024  37%   Other
% 0.20/0.54  ;     0.065        Total
% 0.20/0.54  ;     0.068        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 284 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 104 entries (104 at peak, 104 added, 0 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 313 nodes (313 at peak, 313 added, 0 deleted).
% 0.20/0.54  ;  Retrieved 93 possibly forward subsuming rows in 111 calls.
% 0.20/0.54  ;  Retrieved 45 possibly backward subsumed rows in 104 calls.
% 0.20/0.54  ; Path-index has 288 entries (289 at peak, 292 added, 4 deleted).
% 0.20/0.54  ; Path-index has 722 nodes (722 at peak, 724 added, 2 deleted).
% 0.20/0.54  ; Trie-index has 288 entries (289 at peak, 292 added, 4 deleted).
% 0.20/0.54  ; Trie-index has 680 nodes (681 at peak, 686 added, 6 deleted).
% 0.20/0.54  ; Retrieved 64 generalization terms in 333 calls.
% 0.20/0.54  ; Retrieved 70 instance terms in 52 calls.
% 0.20/0.54  ; Retrieved 2,303 unifiable terms in 248 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 28 entries:
% 0.20/0.54  ;     1 with value 5               2 with value 13               2 with value 18
% 0.20/0.54  ;     1 with value 8               4 with value 14               5 with value 19
% 0.20/0.54  ;     2 with value 11              1 with value 15               6 with value 20
% 0.20/0.54  ;     4 with value 12
% 0.20/0.54  ; The agenda of input rows to give has 44 entries:
% 0.20/0.54  ;     4 with value 12              1 with value 16               4 with value 21
% 0.20/0.54  ;     8 with value 13              4 with value 17               1 with value 22
% 0.20/0.54  ;     6 with value 14              1 with value 18               3 with value 25
% 0.20/0.54  ;     9 with value 15              1 with value 19               2 with value 35
% 0.20/0.54  ; The agenda of rows to give has 62 entries:
% 0.20/0.54  ;     1 with value (4 4)           4 with value (4 10)           1 with value (4 15)
% 0.20/0.54  ;     7 with value (4 5)           1 with value (4 11)           8 with value (4 16)
% 0.20/0.54  ;     8 with value (4 7)           7 with value (4 13)           2 with value (4 17)
% 0.20/0.54  ;     7 with value (4 8)          10 with value (4 14)           6 with value (4 18)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.068 seconds of real time
% 0.20/0.54    0.057595 seconds of user run time
% 0.20/0.54    0.010979 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,422,856 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:30:28
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------