TSTP Solution File: SWC317+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC317+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:58:08 EDT 2022

% Result   : Theorem 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   25 (  10 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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)
    | app(cons(X,nil),Y) != 'SKOLEMAAAV48'
    | app(Y,cons(X,nil)) != 'SKOLEMAAAV49'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | app(cons(X,nil),Y) != 'SKOLEMAAAV48'
    | app(Y,cons(X,nil)) != 'SKOLEMAAAV49' ),
    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,
    ( ssList('SKOLEMAAAV53')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

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

cnf(201,negated_conjecture,
    ( app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV53') = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV53') = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[201,194,192,193,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

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

cnf(767,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[196,198,200,202,204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC317+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 11 23:14:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:14:55
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-11T23:14:55
% 0.61/0.79  
% 0.61/0.79  
% 0.61/0.79  #||
% 0.61/0.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79  % SZS output start Refutation
% See solution above
% 0.61/0.79  ||#
% 0.61/0.79  
% 0.61/0.79  ; Summary of computation:
% 0.61/0.79  ;      1322 formulas have been input or derived (from 183 formulas).
% 0.61/0.79  ;       767 (58%) were retained.  Of these,
% 0.61/0.79  ;           92 (12%) were simplified or subsumed later,
% 0.61/0.79  ;          675 (88%) are still being kept.
% 0.61/0.79  ; 
% 0.61/0.79  ; Run time in seconds excluding printing time:
% 0.61/0.80  ;     0.026   8%   Read assertion file          (1 call)
% 0.61/0.80  ;     0.009   3%   Assert                       (96 calls)
% 0.61/0.80  ;     0.047  15%   Process new row              (1,237 calls)
% 0.61/0.80  ;     0.174  54%   Resolution                   (364 calls)
% 0.61/0.80  ;     0.002   1%   Paramodulation               (182 calls)
% 0.61/0.80  ;     0.005   2%   Condensing                   (362 calls)
% 0.61/0.80  ;     0.003   1%   Forward subsumption          (362 calls)
% 0.61/0.80  ;     0.006   2%   Backward subsumption         (357 calls)
% 0.61/0.80  ;     0.001   0%   Clause clause subsumption    (88 calls)
% 0.61/0.80  ;     0.021   7%   Forward simplification       (1,237 calls)
% 0.61/0.80  ;     0.003   1%   Backward simplification      (762 calls)
% 0.61/0.80  ;     0.002   1%   Ordering                     (472 calls)
% 0.61/0.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.80  ;     0.000   0%   Purity testing               (1 call)
% 0.61/0.80  ;     0.024   7%   Other
% 0.61/0.80  ;     0.323        Total
% 0.61/0.80  ;     0.325        Real time
% 0.61/0.80  ; 
% 0.61/0.80  ; Term-hash-array has 1,301 terms in all.
% 0.61/0.80  ; Feature-vector-row-index has 330 entries (330 at peak, 357 added, 27 deleted).
% 0.61/0.80  ; Feature-vector-row-index has 1,113 nodes (1,113 at peak, 1,217 added, 104 deleted).
% 0.61/0.80  ;  Retrieved 159 possibly forward subsuming rows in 362 calls.
% 0.61/0.80  ;  Retrieved 107 possibly backward subsumed rows in 357 calls.
% 0.61/0.80  ; Path-index has 1,218 entries (1,218 at peak, 1,349 added, 131 deleted).
% 0.61/0.80  ; Path-index has 1,661 nodes (1,661 at peak, 1,735 added, 74 deleted).
% 0.61/0.80  ; Trie-index has 1,218 entries (1,218 at peak, 1,349 added, 131 deleted).
% 0.61/0.80  ; Trie-index has 2,898 nodes (2,898 at peak, 3,097 added, 199 deleted).
% 0.61/0.80  ; Retrieved 959 generalization terms in 3,867 calls.
% 0.61/0.80  ; Retrieved 413 instance terms in 404 calls.
% 0.61/0.80  ; Retrieved 426,484 unifiable terms in 14,567 calls.
% 0.61/0.80  ; 
% 0.61/0.80  ; The agenda of rows to process has 6 entries:
% 0.61/0.80  ;     2 with value 4               2 with value 11               2 with value 21
% 0.61/0.80  ; The agenda of input rows to give has 15 entries:
% 0.61/0.80  ;     6 with value 27              1 with value 32               3 with value 40
% 0.61/0.80  ;     1 with value 29              1 with value 35               3 with value 44
% 0.61/0.80  ; The agenda of rows to give has 477 entries:
% 0.61/0.80  ;    55 with value (4 5)          40 with value (4 11)          15 with value (4 17)
% 0.61/0.80  ;     6 with value (4 6)           8 with value (4 12)          34 with value (4 18)
% 0.61/0.80  ;    34 with value (4 7)          60 with value (4 13)          11 with value (4 19)
% 0.61/0.80  ;    16 with value (4 8)          47 with value (4 15)           1 with value (4 21)
% 0.61/0.80  ;   115 with value (4 9)           6 with value (4 16)           3 with value (4 22)
% 0.61/0.80  ;    26 with value (4 10)
% 0.61/0.80  Evaluation took:
% 0.61/0.80    0.325 seconds of real time
% 0.61/0.80    0.298836 seconds of user run time
% 0.61/0.80    0.026109 seconds of system run time
% 0.61/0.80    [Run times include 0.01 seconds GC run time.]
% 0.61/0.80    0 calls to %EVAL
% 0.61/0.80    0 page faults and
% 0.61/0.80    24,240,728 bytes consed.
% 0.61/0.80  :PROOF-FOUND
% 0.61/0.80  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:14:56
% 0.61/0.80  :PROOF-FOUND
% 0.61/0.80  * 
%------------------------------------------------------------------------------