TSTP Solution File: SET024+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 05:06:01 EDT 2022

% Result   : Theorem 0.67s 0.86s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 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   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( member(X,unordered_pair(Y,Z))
    | ~ member(X,universal_class)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

cnf(12,axiom,
    singleton(X) = unordered_pair(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

cnf(92,negated_conjecture,
    member('SKOLEMAAAU8',universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).

cnf(93,negated_conjecture,
    ~ member('SKOLEMAAAU8',singleton('SKOLEMAAAU8')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).

cnf(270,plain,
    member('SKOLEMAAAU8',unordered_pair('SKOLEMAAAU8',X)),
    inference('HYPERRESOLVE',[status(thm)],[9,92,theory(equality)]) ).

cnf(1850,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[270,12,theory(equality)]),93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.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 09:01:38 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  * 
% 0.19/0.46  #<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 2022-07-10T09:01:38
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T09:01:38
% 0.67/0.86  
% 0.67/0.86  
% 0.67/0.86  #||
% 0.67/0.86  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.86  % SZS output start Refutation
% See solution above
% 0.67/0.87  ||#
% 0.67/0.87  
% 0.67/0.87  ; Summary of computation:
% 0.67/0.87  ;      3792 formulas have been input or derived (from 135 formulas).
% 0.67/0.87  ;      1850 (49%) were retained.  Of these,
% 0.67/0.87  ;           34 ( 2%) were simplified or subsumed later,
% 0.67/0.87  ;         1816 (98%) are still being kept.
% 0.67/0.87  ; 
% 0.67/0.87  ; Run time in seconds excluding printing time:
% 0.67/0.87  ;     0.011   3%   Read assertion file          (1 call)
% 0.67/0.87  ;     0.003   1%   Assert                       (44 calls)
% 0.67/0.87  ;     0.129  33%   Process new row              (3,493 calls)
% 0.67/0.87  ;     0.088  23%   Resolution                   (268 calls)
% 0.67/0.87  ;     0.001   0%   Paramodulation               (134 calls)
% 0.67/0.87  ;     0.000   0%   Factoring                    (6 calls)
% 0.67/0.87  ;     0.010   3%   Condensing                   (823 calls)
% 0.67/0.87  ;     0.034   9%   Forward subsumption          (823 calls)
% 0.67/0.87  ;     0.023   6%   Backward subsumption         (758 calls)
% 0.67/0.87  ;     0.001   0%   Clause clause subsumption    (1,602 calls)
% 0.67/0.87  ;     0.035   9%   Forward simplification       (3,390 calls)
% 0.67/0.87  ;     0.019   5%   Backward simplification      (1,847 calls)
% 0.67/0.87  ;     0.002   1%   Ordering                     (1,772 calls)
% 0.67/0.87  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.67/0.87  ;     0.000   0%   Purity testing               (1 call)
% 0.67/0.87  ;     0.035   9%   Other
% 0.67/0.87  ;     0.391        Total
% 0.67/0.87  ;     0.409        Real time
% 0.67/0.87  ; 
% 0.67/0.87  ; Term-hash-array has 3,445 terms in all.
% 0.67/0.87  ; Feature-vector-row-index has 744 entries (744 at peak, 758 added, 14 deleted).
% 0.67/0.87  ; Feature-vector-row-index has 2,958 nodes (2,958 at peak, 3,014 added, 56 deleted).
% 0.67/0.87  ;  Retrieved 1,395 possibly forward subsuming rows in 823 calls.
% 0.67/0.87  ;  Retrieved 725 possibly backward subsumed rows in 758 calls.
% 0.67/0.87  ; Path-index has 3,413 entries (3,413 at peak, 3,466 added, 53 deleted).
% 0.67/0.87  ; Path-index has 3,694 nodes (3,694 at peak, 3,753 added, 59 deleted).
% 0.67/0.87  ; Trie-index has 3,413 entries (3,413 at peak, 3,466 added, 53 deleted).
% 0.67/0.87  ; Trie-index has 9,598 nodes (9,598 at peak, 9,723 added, 125 deleted).
% 0.67/0.87  ; Retrieved 2,226 generalization terms in 8,179 calls.
% 0.67/0.87  ; Retrieved 1,106 instance terms in 1,088 calls.
% 0.67/0.87  ; Retrieved 120,693 unifiable terms in 3,130 calls.
% 0.67/0.87  ; 
% 0.67/0.87  ; The agenda of rows to process has 149 entries:
% 0.67/0.87  ;     5 with value 9               8 with value 13               2 with value 17
% 0.67/0.87  ;     6 with value 10             24 with value 14               1 with value 18
% 0.67/0.87  ;     8 with value 11             40 with value 15               4 with value 19
% 0.67/0.87  ;    10 with value 12             37 with value 16               4 with value 20
% 0.67/0.87  ; The agenda of rows to give has 1684 entries:
% 0.67/0.87  ;    28 with value (4 8)          79 with value (4 20)           5 with value (4 32)
% 0.67/0.87  ;    42 with value (4 9)          60 with value (4 21)           4 with value (4 33)
% 0.67/0.87  ;    94 with value (4 10)         37 with value (4 22)           1 with value (4 34)
% 0.67/0.87  ;    82 with value (4 11)         24 with value (4 23)           2 with value (4 35)
% 0.67/0.87  ;    77 with value (4 12)         14 with value (4 24)           5 with value (4 38)
% 0.67/0.87  ;   134 with value (4 13)         12 with value (4 25)          10 with value (4 39)
% 0.67/0.87  ;   227 with value (4 14)          6 with value (4 26)           1 with value (4 40)
% 0.67/0.87  ;   257 with value (4 15)          4 with value (4 27)           5 with value (4 41)
% 0.67/0.87  ;   132 with value (4 16)          6 with value (4 28)           6 with value (4 42)
% 0.67/0.87  ;    90 with value (4 17)          2 with value (4 29)           2 with value (4 44)
% 0.67/0.87  ;    96 with value (4 18)          2 with value (4 30)           4 with value (4 45)
% 0.67/0.87  ;   133 with value (4 19)          1 with value (4 31)
% 0.67/0.87  Evaluation took:
% 0.67/0.87    0.409 seconds of real time
% 0.67/0.87    0.372166 seconds of user run time
% 0.67/0.87    0.036782 seconds of system run time
% 0.67/0.87    [Run times include 0.028 seconds GC run time.]
% 0.67/0.87    0 calls to %EVAL
% 0.67/0.87    0 page faults and
% 0.67/0.87    25,398,920 bytes consed.
% 0.67/0.87  :PROOF-FOUND
% 0.67/0.87  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:01:39
% 0.67/0.87  :PROOF-FOUND
% 0.67/0.87  * 
%------------------------------------------------------------------------------