TSTP Solution File: SET079+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 05:07:00 EDT 2022

% Result   : Theorem 0.76s 0.91s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   3 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   3 sgn)

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

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

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

cnf(92,negated_conjecture,
    member('SKOLEMAAAV8',universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_to_set_in_its_singleton) ).

cnf(93,negated_conjecture,
    singleton('SKOLEMAAAV8') = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_to_set_in_its_singleton) ).

cnf(265,plain,
    member('SKOLEMAAAV8',unordered_pair('SKOLEMAAAV8',X)),
    inference('HYPERRESOLVE',[status(thm)],[9,92,theory(equality)]) ).

cnf(1839,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[265,12,theory(equality)]),31,93,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jul 10 05:29:13 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.23/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.50  * 
% 0.23/0.50  * 
% 0.23/0.51  #<PACKAGE "SNARK-USER">
% 0.23/0.51  * 
% 0.23/0.51  SNARK-TPTP-OPTIONS
% 0.23/0.51  * 
% 0.23/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51   (USE-FACTORING :POS)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51  * 
% 0.23/0.51  "."
% 0.23/0.51  * 
% 0.23/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:29:13
% 0.23/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-10T05:29:13
% 0.76/0.91  
% 0.76/0.91  
% 0.76/0.91  #||
% 0.76/0.91  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.91  % SZS output start Refutation
% See solution above
% 0.78/0.93  ||#
% 0.78/0.93  
% 0.78/0.93  ; Summary of computation:
% 0.78/0.93  ;      3782 formulas have been input or derived (from 134 formulas).
% 0.78/0.93  ;      1839 (49%) were retained.  Of these,
% 0.78/0.93  ;           34 ( 2%) were simplified or subsumed later,
% 0.78/0.93  ;         1805 (98%) are still being kept.
% 0.78/0.93  ; 
% 0.78/0.93  ; Run time in seconds excluding printing time:
% 0.78/0.93  ;     0.011   3%   Read assertion file          (1 call)
% 0.78/0.93  ;     0.003   1%   Assert                       (44 calls)
% 0.78/0.93  ;     0.117  29%   Process new row              (3,485 calls)
% 0.78/0.93  ;     0.083  21%   Resolution                   (266 calls)
% 0.78/0.93  ;     0.005   1%   Paramodulation               (133 calls)
% 0.78/0.93  ;     0.000   0%   Factoring                    (6 calls)
% 0.78/0.93  ;     0.008   2%   Condensing                   (825 calls)
% 0.78/0.93  ;     0.027   7%   Forward subsumption          (825 calls)
% 0.78/0.93  ;     0.021   5%   Backward subsumption         (760 calls)
% 0.78/0.93  ;     0.007   2%   Clause clause subsumption    (1,602 calls)
% 0.78/0.93  ;     0.068  17%   Forward simplification       (3,389 calls)
% 0.78/0.93  ;     0.016   4%   Backward simplification      (1,836 calls)
% 0.78/0.93  ;     0.003   1%   Ordering                     (1,788 calls)
% 0.78/0.93  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.78/0.93  ;     0.000   0%   Purity testing               (1 call)
% 0.78/0.93  ;     0.033   8%   Other
% 0.78/0.93  ;     0.402        Total
% 0.78/0.93  ;     0.422        Real time
% 0.78/0.93  ; 
% 0.78/0.93  ; Term-hash-array has 3,433 terms in all.
% 0.78/0.93  ; Feature-vector-row-index has 746 entries (746 at peak, 760 added, 14 deleted).
% 0.78/0.93  ; Feature-vector-row-index has 2,974 nodes (2,974 at peak, 3,030 added, 56 deleted).
% 0.78/0.93  ;  Retrieved 1,395 possibly forward subsuming rows in 825 calls.
% 0.78/0.93  ;  Retrieved 725 possibly backward subsumed rows in 760 calls.
% 0.78/0.93  ; Path-index has 3,401 entries (3,401 at peak, 3,454 added, 53 deleted).
% 0.78/0.93  ; Path-index has 3,678 nodes (3,678 at peak, 3,737 added, 59 deleted).
% 0.78/0.93  ; Trie-index has 3,401 entries (3,401 at peak, 3,454 added, 53 deleted).
% 0.78/0.93  ; Trie-index has 9,571 nodes (9,571 at peak, 9,696 added, 125 deleted).
% 0.78/0.93  ; Retrieved 2,269 generalization terms in 8,652 calls.
% 0.78/0.93  ; Retrieved 1,093 instance terms in 1,075 calls.
% 0.78/0.93  ; Retrieved 120,457 unifiable terms in 3,120 calls.
% 0.78/0.93  ; 
% 0.78/0.93  ; The agenda of rows to process has 148 entries:
% 0.78/0.93  ;     5 with value 9               8 with value 13               2 with value 17
% 0.78/0.93  ;     5 with value 10             24 with value 14               1 with value 18
% 0.78/0.93  ;     8 with value 11             40 with value 15               4 with value 19
% 0.78/0.93  ;    10 with value 12             37 with value 16               4 with value 20
% 0.78/0.93  ; The agenda of rows to give has 1674 entries:
% 0.78/0.93  ;    27 with value (4 8)          80 with value (4 20)           4 with value (4 32)
% 0.78/0.93  ;    40 with value (4 9)          60 with value (4 21)           2 with value (4 33)
% 0.78/0.93  ;    86 with value (4 10)         37 with value (4 22)           1 with value (4 34)
% 0.78/0.93  ;    81 with value (4 11)         24 with value (4 23)           2 with value (4 35)
% 0.78/0.93  ;    75 with value (4 12)         14 with value (4 24)           5 with value (4 38)
% 0.78/0.93  ;   134 with value (4 13)         12 with value (4 25)          10 with value (4 39)
% 0.78/0.93  ;   228 with value (4 14)          6 with value (4 26)           1 with value (4 40)
% 0.78/0.93  ;   258 with value (4 15)          4 with value (4 27)           5 with value (4 41)
% 0.78/0.93  ;   132 with value (4 16)          7 with value (4 28)           6 with value (4 42)
% 0.78/0.93  ;    92 with value (4 17)          4 with value (4 29)           2 with value (4 44)
% 0.78/0.93  ;    96 with value (4 18)          2 with value (4 30)           4 with value (4 45)
% 0.78/0.93  ;   132 with value (4 19)          1 with value (4 31)
% 0.78/0.93  Evaluation took:
% 0.78/0.93    0.423 seconds of real time
% 0.78/0.93    0.373542 seconds of user run time
% 0.78/0.93    0.049021 seconds of system run time
% 0.78/0.93    [Run times include 0.035 seconds GC run time.]
% 0.78/0.93    0 calls to %EVAL
% 0.78/0.93    0 page faults and
% 0.78/0.93    25,365,112 bytes consed.
% 0.78/0.94  :PROOF-FOUND
% 0.78/0.94  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:29:14
% 0.78/0.94  :PROOF-FOUND
% 0.78/0.94  * 
%------------------------------------------------------------------------------