TSTP Solution File: SET093+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 05:07:13 EDT 2022

% Result   : Theorem 0.47s 0.68s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   5 RR)
%            Number of literals    :   11 (   2 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subclass(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

cnf(4,axiom,
    subclass(X,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',class_elements_are_sets) ).

cnf(11,axiom,
    member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

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

cnf(96,negated_conjecture,
    singleton(member_of('SKOLEMAAAV8')) = 'SKOLEMAAAV8',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).

cnf(97,negated_conjecture,
    ~ member('SKOLEMAAAV8',universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).

cnf(102,plain,
    member(singleton(X),universal_class),
    inference('PARAMODULATE',[status(thm)],[11,12,theory(equality)]) ).

cnf(171,plain,
    ~ member('SKOLEMAAAV8',X),
    inference('UR-RESOLVE',[status(thm)],[1,4,97]) ).

cnf(670,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[102,96,theory(equality)]),171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.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 : Sun Jul 10 01:32:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 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 2022-07-10T01:32:31
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-10T01:32:31
% 0.47/0.68  
% 0.47/0.68  
% 0.47/0.68  #||
% 0.47/0.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.68  % SZS output start Refutation
% See solution above
% 0.47/0.68  ||#
% 0.47/0.68  
% 0.47/0.68  ; Summary of computation:
% 0.47/0.68  ;      1222 formulas have been input or derived (from 110 formulas).
% 0.47/0.68  ;       670 (55%) were retained.  Of these,
% 0.47/0.68  ;           28 ( 4%) were simplified or subsumed later,
% 0.47/0.68  ;          642 (96%) are still being kept.
% 0.47/0.68  ; 
% 0.47/0.68  ; Run time in seconds:
% 0.47/0.68  ;     0.011   6%   Read assertion file          (1 call)
% 0.47/0.68  ;     0.003   2%   Assert                       (48 calls)
% 0.47/0.68  ;     0.055  28%   Process new row              (980 calls)
% 0.47/0.68  ;     0.033  16%   Resolution                   (218 calls)
% 0.47/0.68  ;     0.000   0%   Paramodulation               (109 calls)
% 0.47/0.68  ;     0.000   0%   Factoring                    (8 calls)
% 0.47/0.68  ;     0.011   6%   Condensing                   (558 calls)
% 0.47/0.68  ;     0.024  12%   Forward subsumption          (558 calls)
% 0.47/0.68  ;     0.010   5%   Backward subsumption         (486 calls)
% 0.47/0.68  ;     0.001   0%   Clause clause subsumption    (976 calls)
% 0.47/0.68  ;     0.017   8%   Forward simplification       (980 calls)
% 0.47/0.68  ;     0.003   2%   Backward simplification      (667 calls)
% 0.47/0.68  ;     0.004   2%   Ordering                     (1,186 calls)
% 0.47/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.68  ;     0.001   0%   Purity testing               (1 call)
% 0.47/0.68  ;     0.027  14%   Other
% 0.47/0.68  ;     0.200        Total
% 0.47/0.68  ;     0.201        Real time
% 0.47/0.68  ; 
% 0.47/0.68  ; Term-hash-array has 1,491 terms in all.
% 0.47/0.68  ; Feature-vector-row-index has 472 entries (475 at peak, 486 added, 14 deleted).
% 0.47/0.68  ; Feature-vector-row-index has 1,869 nodes (1,891 at peak, 1,924 added, 55 deleted).
% 0.47/0.68  ;  Retrieved 1,108 possibly forward subsuming rows in 558 calls.
% 0.47/0.68  ;  Retrieved 409 possibly backward subsumed rows in 486 calls.
% 0.47/0.68  ; Path-index has 1,466 entries (1,466 at peak, 1,514 added, 48 deleted).
% 0.47/0.68  ; Path-index has 3,044 nodes (3,044 at peak, 3,094 added, 50 deleted).
% 0.47/0.70  ; Trie-index has 1,466 entries (1,466 at peak, 1,514 added, 48 deleted).
% 0.47/0.70  ; Trie-index has 4,435 nodes (4,435 at peak, 4,554 added, 119 deleted).
% 0.47/0.70  ; Retrieved 512 generalization terms in 2,308 calls.
% 0.47/0.70  ; Retrieved 204 instance terms in 180 calls.
% 0.47/0.70  ; Retrieved 31,927 unifiable terms in 1,272 calls.
% 0.47/0.70  ; 
% 0.47/0.70  ; The agenda of rows to process has 157 entries:
% 0.47/0.70  ;     5 with value 8               6 with value 16               3 with value 25
% 0.47/0.70  ;     3 with value 9               5 with value 17               2 with value 30
% 0.47/0.70  ;    12 with value 10              9 with value 18               1 with value 32
% 0.47/0.70  ;     4 with value 11             15 with value 19               3 with value 34
% 0.47/0.70  ;    14 with value 12              7 with value 20               1 with value 36
% 0.47/0.70  ;    16 with value 13             10 with value 21               3 with value 38
% 0.47/0.70  ;    16 with value 14              1 with value 23               2 with value 39
% 0.47/0.70  ;    18 with value 15              1 with value 24
% 0.47/0.70  ; The agenda of rows to give has 533 entries:
% 0.47/0.70  ;    12 with value (4 7)          40 with value (4 19)           1 with value (4 31)
% 0.47/0.70  ;    23 with value (4 8)          28 with value (4 20)           8 with value (4 32)
% 0.47/0.70  ;    18 with value (4 9)          31 with value (4 21)           2 with value (4 33)
% 0.47/0.70  ;    26 with value (4 10)         22 with value (4 22)           2 with value (4 34)
% 0.47/0.70  ;    16 with value (4 11)         26 with value (4 23)           3 with value (4 35)
% 0.47/0.70  ;    20 with value (4 12)         20 with value (4 24)           2 with value (4 37)
% 0.47/0.70  ;    31 with value (4 13)         17 with value (4 25)           1 with value (4 40)
% 0.47/0.70  ;    27 with value (4 14)         14 with value (4 26)           5 with value (4 41)
% 0.47/0.70  ;    26 with value (4 15)          4 with value (4 27)           2 with value (4 42)
% 0.47/0.70  ;    12 with value (4 16)         12 with value (4 28)           1 with value (4 43)
% 0.47/0.70  ;    36 with value (4 17)          2 with value (4 29)           4 with value (4 44)
% 0.47/0.70  ;    31 with value (4 18)          4 with value (4 30)           4 with value (4 45)
% 0.47/0.70  Evaluation took:
% 0.47/0.70    0.214 seconds of real time
% 0.47/0.70    0.186497 seconds of user run time
% 0.47/0.70    0.027843 seconds of system run time
% 0.47/0.70    [Run times include 0.012 seconds GC run time.]
% 0.47/0.70    0 calls to %EVAL
% 0.47/0.70    0 page faults and
% 0.47/0.70    12,436,336 bytes consed.
% 0.47/0.70  :PROOF-FOUND
% 0.47/0.70  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T01:32:31
% 0.47/0.70  :PROOF-FOUND
% 0.47/0.70  * 
%------------------------------------------------------------------------------