TSTP Solution File: SWC012+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC012+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 21:56:22 EDT 2022

% Result   : Theorem 118.46s 118.66s
% Output   : Refutation 118.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  11 unt;   0 nHn;  16 RR)
%            Number of literals    :   28 (  11 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(175,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(Y,cons(X,nil)),Z) != 'SKOLEMAAAV49'
    | app(Y,Z) != 'SKOLEMAAAV48'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(Y,cons(X,nil)),Z) != 'SKOLEMAAAV49'
    | app(Y,Z) != 'SKOLEMAAAV48' ),
    inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( app('SKOLEMAAAV50',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    app('SKOLEMAAAV48',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[199,194,192,193,theory(equality)]) ).

cnf(252,plain,
    app('SKOLEMAAAV49',nil) = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(253,plain,
    app('SKOLEMAAAV48',nil) = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[175,188]) ).

cnf(34732,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[196,253,198,188,84]),252,200,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC012+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.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 Jun 12 06:40:53 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 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)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:40:53
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-12T06:40:53
% 118.46/118.66  
% 118.46/118.66  
% 118.46/118.66  #||
% 118.46/118.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 118.46/118.66  % SZS output start Refutation
% See solution above
% 118.46/118.69  ||#
% 118.46/118.69  
% 118.46/118.69  ; Summary of computation:
% 118.46/118.69  ;    103236 formulas have been input or derived (from 279 formulas).
% 118.46/118.69  ;     34732 (34%) were retained.  Of these,
% 118.46/118.69  ;         8629 (25%) were simplified or subsumed later,
% 118.46/118.69  ;        26103 (75%) are still being kept.
% 118.46/118.69  ; 
% 118.46/118.69  ; Run time in seconds excluding printing time:
% 118.46/118.69  ;     0.027   0%   Read assertion file          (1 call)
% 118.46/118.69  ;     0.009   0%   Assert                       (96 calls)
% 118.46/118.69  ;     3.217   3%   Process new row              (102,344 calls)
% 118.46/118.69  ;   107.649  91%   Resolution                   (556 calls)
% 118.46/118.69  ;     0.013   0%   Paramodulation               (278 calls)
% 118.46/118.69  ;     0.007   0%   Condensing                   (878 calls)
% 118.46/118.69  ;     0.023   0%   Forward subsumption          (878 calls)
% 118.46/118.69  ;     0.015   0%   Backward subsumption         (782 calls)
% 118.46/118.69  ;     0.001   0%   Clause clause subsumption    (524 calls)
% 118.46/118.69  ;     3.559   3%   Forward simplification       (102,183 calls)
% 118.46/118.69  ;     3.282   3%   Backward simplification      (34,729 calls)
% 118.46/118.69  ;     0.017   0%   Ordering                     (3,064 calls)
% 118.46/118.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 118.46/118.69  ;     0.001   0%   Purity testing               (1 call)
% 118.46/118.69  ;     0.363   0%   Other
% 118.46/118.69  ;   118.183        Total
% 118.46/118.69  ;   118.213        Real time
% 118.46/118.69  ; 
% 118.46/118.69  ; Term-hash-array has 46,047 terms in all.
% 118.46/118.69  ; Feature-vector-row-index has 698 entries (698 at peak, 782 added, 84 deleted).
% 118.46/118.69  ; Feature-vector-row-index has 3,284 nodes (3,284 at peak, 3,755 added, 471 deleted).
% 118.46/118.69  ;  Retrieved 639 possibly forward subsuming rows in 878 calls.
% 118.46/118.69  ;  Retrieved 302 possibly backward subsumed rows in 782 calls.
% 118.46/118.69  ; Path-index has 35,120 entries (35,120 at peak, 46,341 added, 11,221 deleted).
% 118.46/118.69  ; Path-index has 5,334 nodes (5,348 at peak, 5,947 added, 613 deleted).
% 118.46/118.69  ; Trie-index has 35,120 entries (35,120 at peak, 46,341 added, 11,221 deleted).
% 118.46/118.69  ; Trie-index has 103,490 nodes (103,490 at peak, 137,493 added, 34,003 deleted).
% 118.46/118.69  ; Retrieved 233,850 generalization terms in 944,392 calls.
% 118.46/118.69  ; Retrieved 34,146 instance terms in 33,946 calls.
% 118.46/118.69  ; Retrieved 243,080,076 unifiable terms in 5,763,778 calls.
% 118.46/118.69  ; 
% 118.46/118.69  ; The agenda of rows to process has 14 entries:
% 118.46/118.69  ;     2 with value 15              2 with value 19               1 with value 25
% 118.46/118.69  ;     2 with value 16              4 with value 22               1 with value 28
% 118.46/118.69  ;     1 with value 17              1 with value 23
% 118.46/118.69  ; The agenda of rows to give has 25826 entries:
% 118.46/118.69  ;    41 with value (4 8)         321 with value (4 18)        3926 with value (4 28)
% 118.46/118.69  ;   156 with value (4 9)         503 with value (4 19)        2065 with value (4 29)
% 118.46/118.69  ;    49 with value (4 10)        303 with value (4 20)        3420 with value (4 30)
% 118.46/118.69  ;   113 with value (4 11)        928 with value (4 21)        1376 with value (4 31)
% 118.46/118.69  ;   161 with value (4 12)        531 with value (4 22)         147 with value (4 32)
% 118.46/118.69  ;   146 with value (4 13)       1662 with value (4 23)        1029 with value (4 33)
% 118.46/118.69  ;   251 with value (4 14)       1537 with value (4 24)           6 with value (4 35)
% 118.46/118.69  ;   129 with value (4 15)       2112 with value (4 25)           4 with value (4 37)
% 118.46/118.69  ;   430 with value (4 16)       2680 with value (4 26)          24 with value (4 42)
% 118.46/118.69  ;   372 with value (4 17)       1404 with value (4 27)
% 118.46/118.69  Evaluation took:
% 118.46/118.69    118.215 seconds of real time
% 118.46/118.69    116.88046 seconds of user run time
% 118.46/118.69    1.336072 seconds of system run time
% 118.46/118.69    [Run times include 10.616 seconds GC run time.]
% 118.46/118.69    0 calls to %EVAL
% 118.46/118.69    0 page faults and
% 118.46/118.69    12,495,328,240 bytes consed.
% 118.46/118.69  :PROOF-FOUND
% 118.46/118.69  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:42:51
% 118.46/118.69  :PROOF-FOUND
% 118.46/118.69  * 
%------------------------------------------------------------------------------