TSTP Solution File: SET813+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 05:12:19 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   11 (   1 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(14,axiom,
    ( member(X,union(Y,Z))
    | ~ member(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',union) ).

cnf(20,axiom,
    ( member(X,singleton(Y))
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',singleton) ).

cnf(78,axiom,
    ( member(X,suc(Y))
    | ~ member(X,union(Y,singleton(Y))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',successor) ).

cnf(80,negated_conjecture,
    ~ member('SKOLEMAAAV14',suc('SKOLEMAAAV14')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV12) ).

cnf(88,plain,
    member(X,singleton(X)),
    inference('HYPERRESOLVE',[status(thm)],[20,theory(equality)]) ).

cnf(144,plain,
    ~ member('SKOLEMAAAV14',union('SKOLEMAAAV14',singleton('SKOLEMAAAV14'))),
    inference('UR-RESOLVE',[status(thm)],[78,80]) ).

cnf(198,plain,
    member(X,union(Y,singleton(X))),
    inference('HYPERRESOLVE',[status(thm)],[14,88]) ).

cnf(199,plain,
    $false,
    inference('REWRITE',[status(thm)],[144,198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n024.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 16:36:13 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 2022-07-10T16:36:13
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T16:36:13
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  #||
% 0.19/0.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56  % SZS output start Refutation
% See solution above
% 0.19/0.56  ||#
% 0.19/0.56  
% 0.19/0.56  ; Summary of computation:
% 0.19/0.56  ;       287 formulas have been input or derived (from 94 formulas).
% 0.19/0.56  ;       199 (69%) were retained.  Of these,
% 0.19/0.56  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.56  ;          198 (99%) are still being kept.
% 0.19/0.56  ; 
% 0.19/0.56  ; Run time in seconds:
% 0.19/0.56  ;     0.006   6%   Read assertion file          (1 call)
% 0.19/0.56  ;     0.003   3%   Assert                       (20 calls)
% 0.19/0.56  ;     0.021  21%   Process new row              (227 calls)
% 0.19/0.56  ;     0.025  26%   Resolution                   (186 calls)
% 0.19/0.56  ;     0.001   1%   Paramodulation               (93 calls)
% 0.19/0.56  ;     0.000   0%   Factoring                    (22 calls)
% 0.19/0.56  ;     0.002   2%   Condensing                   (144 calls)
% 0.19/0.56  ;     0.007   7%   Forward subsumption          (144 calls)
% 0.19/0.56  ;     0.003   3%   Backward subsumption         (143 calls)
% 0.19/0.56  ;     0.001   1%   Clause clause subsumption    (108 calls)
% 0.19/0.56  ;     0.005   5%   Forward simplification       (227 calls)
% 0.19/0.56  ;     0.000   0%   Backward simplification      (199 calls)
% 0.19/0.56  ;     0.002   2%   Ordering                     (250 calls)
% 0.19/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.56  ;     0.022  22%   Other
% 0.19/0.56  ;     0.098        Total
% 0.19/0.56  ;     0.099        Real time
% 0.19/0.56  ; 
% 0.19/0.56  ; Term-hash-array has 333 terms in all.
% 0.19/0.56  ; Feature-vector-row-index has 143 entries (143 at peak, 143 added, 0 deleted).
% 0.19/0.56  ; Feature-vector-row-index has 420 nodes (420 at peak, 420 added, 0 deleted).
% 0.19/0.56  ;  Retrieved 96 possibly forward subsuming rows in 144 calls.
% 0.19/0.56  ;  Retrieved 19 possibly backward subsumed rows in 143 calls.
% 0.19/0.56  ; Path-index has 335 entries (337 at peak, 337 added, 2 deleted).
% 0.19/0.56  ; Path-index has 777 nodes (781 at peak, 781 added, 4 deleted).
% 0.19/0.56  ; Trie-index has 335 entries (337 at peak, 337 added, 2 deleted).
% 0.19/0.56  ; Trie-index has 756 nodes (762 at peak, 762 added, 6 deleted).
% 0.19/0.56  ; Retrieved 28 generalization terms in 340 calls.
% 0.19/0.56  ; Retrieved 62 instance terms in 55 calls.
% 0.19/0.56  ; Retrieved 21,534 unifiable terms in 1,086 calls.
% 0.19/0.56  ; 
% 0.19/0.56  ; The agenda of rows to process has 41 entries:
% 0.19/0.56  ;     7 with value 11              1 with value 18               2 with value 23
% 0.19/0.56  ;    12 with value 12              1 with value 20              10 with value 30
% 0.19/0.56  ;     1 with value 15              2 with value 22               4 with value 33
% 0.19/0.56  ;     1 with value 16
% 0.19/0.56  ; The agenda of rows to give has 104 entries:
% 0.19/0.56  ;     3 with value (4 7)           3 with value (4 15)           3 with value (4 23)
% 0.19/0.56  ;    16 with value (4 8)           3 with value (4 16)           5 with value (4 24)
% 0.19/0.56  ;     4 with value (4 9)           1 with value (4 17)           1 with value (4 25)
% 0.19/0.56  ;    10 with value (4 10)          3 with value (4 18)           8 with value (4 26)
% 0.19/0.56  ;     5 with value (4 11)          1 with value (4 19)           1 with value (4 27)
% 0.19/0.56  ;     2 with value (4 12)          3 with value (4 20)           7 with value (4 28)
% 0.19/0.56  ;     4 with value (4 13)         13 with value (4 21)           2 with value (4 30)
% 0.19/0.56  ;     5 with value (4 14)          1 with value (4 22)
% 0.19/0.56  Evaluation took:
% 0.19/0.56    0.1 seconds of real time
% 0.19/0.56    0.089861 seconds of user run time
% 0.19/0.56    0.01022 seconds of system run time
% 0.19/0.56    0 calls to %EVAL
% 0.19/0.56    0 page faults and
% 0.19/0.56    4,360,056 bytes consed.
% 0.19/0.56  :PROOF-FOUND
% 0.19/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:36:13
% 0.19/0.56  :PROOF-FOUND
% 0.19/0.56  * 
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