TSTP Solution File: SWC422+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC422+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:58:46 EDT 2022

% Result   : Theorem 0.81s 0.99s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  16 RR)
%            Number of literals    :   30 (  10 equ;  16 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

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

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

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

cnf(199,negated_conjecture,
    ( ssList('SKOLEMAAAV53')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ssList('SKOLEMAAAV53'),
    inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( ssList('SKOLEMAAAV54')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    ssList('SKOLEMAAAV54'),
    inference('REWRITE',[status(thm)],[201,194,192,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( app(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV54') = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    app(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV54') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[203,194,192,theory(equality)]) ).

cnf(205,negated_conjecture,
    ( app(app('SKOLEMAAAV54',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV53') = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(206,plain,
    app(app('SKOLEMAAAV54',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV53') = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[205,194,192,193,theory(equality)]) ).

cnf(1046,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[196,198,200,202,204,206]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC422+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 16:26:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-12T16:26:29
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-12T16:26:29
% 0.81/0.99  
% 0.81/0.99  
% 0.81/0.99  #||
% 0.81/0.99  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.99  % SZS output start Refutation
% See solution above
% 0.81/0.99  ||#
% 0.81/0.99  
% 0.81/0.99  ; Summary of computation:
% 0.81/0.99  ;      1803 formulas have been input or derived (from 193 formulas).
% 0.81/0.99  ;      1046 (58%) were retained.  Of these,
% 0.81/0.99  ;           76 ( 7%) were simplified or subsumed later,
% 0.81/0.99  ;          970 (93%) are still being kept.
% 0.81/0.99  ; 
% 0.81/0.99  ; Run time in seconds excluding printing time:
% 0.81/0.99  ;     0.027   5%   Read assertion file          (1 call)
% 0.81/0.99  ;     0.009   2%   Assert                       (96 calls)
% 0.81/0.99  ;     0.060  11%   Process new row              (1,677 calls)
% 0.81/0.99  ;     0.352  66%   Resolution                   (384 calls)
% 0.81/0.99  ;     0.000   0%   Paramodulation               (192 calls)
% 0.81/0.99  ;     0.004   1%   Condensing                   (458 calls)
% 0.81/0.99  ;     0.010   2%   Forward subsumption          (458 calls)
% 0.81/0.99  ;     0.008   2%   Backward subsumption         (453 calls)
% 0.81/0.99  ;     0.001   0%   Clause clause subsumption    (103 calls)
% 0.81/0.99  ;     0.034   6%   Forward simplification       (1,677 calls)
% 0.81/0.99  ;     0.002   0%   Backward simplification      (1,040 calls)
% 0.81/0.99  ;     0.001   0%   Ordering                     (669 calls)
% 0.81/0.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.81/0.99  ;     0.000   0%   Purity testing               (1 call)
% 0.81/0.99  ;     0.024   5%   Other
% 0.81/0.99  ;     0.532        Total
% 0.81/0.99  ;     0.534        Real time
% 0.81/0.99  ; 
% 0.81/0.99  ; Term-hash-array has 2,002 terms in all.
% 0.81/0.99  ; Feature-vector-row-index has 447 entries (447 at peak, 453 added, 6 deleted).
% 0.81/0.99  ; Feature-vector-row-index has 2,051 nodes (2,051 at peak, 2,063 added, 12 deleted).
% 0.81/0.99  ;  Retrieved 184 possibly forward subsuming rows in 458 calls.
% 0.81/0.99  ;  Retrieved 121 possibly backward subsumed rows in 453 calls.
% 0.81/0.99  ; Path-index has 1,924 entries (1,924 at peak, 2,024 added, 100 deleted).
% 0.81/0.99  ; Path-index has 2,232 nodes (2,232 at peak, 2,268 added, 36 deleted).
% 0.81/0.99  ; Trie-index has 1,924 entries (1,924 at peak, 2,024 added, 100 deleted).
% 0.81/0.99  ; Trie-index has 5,164 nodes (5,164 at peak, 5,291 added, 127 deleted).
% 0.81/0.99  ; Retrieved 1,214 generalization terms in 5,892 calls.
% 0.81/0.99  ; Retrieved 604 instance terms in 586 calls.
% 0.81/0.99  ; Retrieved 947,369 unifiable terms in 27,169 calls.
% 0.81/0.99  ; 
% 0.81/0.99  ; The agenda of rows to process has 9 entries:
% 0.81/0.99  ;     3 with value 4               2 with value 14               4 with value 27
% 0.81/0.99  ; The agenda of input rows to give has 6 entries:
% 0.81/0.99  ;     3 with value 40              3 with value 44
% 0.81/0.99  ; The agenda of rows to give has 771 entries:
% 0.81/0.99  ;    54 with value (4 5)           6 with value (4 12)           4 with value (4 22)
% 0.81/0.99  ;     4 with value (4 6)          99 with value (4 13)           1 with value (4 24)
% 0.81/0.99  ;    40 with value (4 7)          10 with value (4 14)          24 with value (4 25)
% 0.81/0.99  ;    17 with value (4 8)         135 with value (4 15)           4 with value (4 27)
% 0.81/0.99  ;   158 with value (4 9)          52 with value (4 17)           4 with value (4 30)
% 0.81/0.99  ;    39 with value (4 10)         61 with value (4 18)           2 with value (4 31)
% 0.81/0.99  ;    55 with value (4 11)          2 with value (4 21)
% 0.81/0.99  Evaluation took:
% 0.81/0.99    0.534 seconds of real time
% 0.81/0.99    0.508136 seconds of user run time
% 0.81/0.99    0.026386 seconds of system run time
% 0.81/0.99    [Run times include 0.022 seconds GC run time.]
% 0.81/0.99    0 calls to %EVAL
% 0.81/0.99    0 page faults and
% 0.81/0.99    41,184,352 bytes consed.
% 0.81/0.99  :PROOF-FOUND
% 0.81/0.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T16:26:29
% 0.81/0.99  :PROOF-FOUND
% 0.81/0.99  * 
%------------------------------------------------------------------------------