TSTP Solution File: SWC010+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC010+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 21:56:21 EDT 2022

% Result   : Theorem 0.76s 0.95s
% Output   : Refutation 0.76s
% 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 (   1 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(Y,Z) != '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(Y,Z) != '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('SKOLEMAAAV53','SKOLEMAAAV54') = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

cnf(996,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[196,198,200,202,204,206]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC010+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n014.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 17:44:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T17:44:22
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-12T17:44:22
% 0.76/0.95  
% 0.76/0.95  
% 0.76/0.95  #||
% 0.76/0.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95  % SZS output start Refutation
% See solution above
% 0.76/0.95  ||#
% 0.76/0.95  
% 0.76/0.95  ; Summary of computation:
% 0.76/0.95  ;      1754 formulas have been input or derived (from 192 formulas).
% 0.76/0.95  ;       996 (57%) were retained.  Of these,
% 0.76/0.95  ;           77 ( 8%) were simplified or subsumed later,
% 0.76/0.95  ;          919 (92%) are still being kept.
% 0.76/0.95  ; 
% 0.76/0.95  ; Run time in seconds excluding printing time:
% 0.76/0.95  ;     0.027   6%   Read assertion file          (1 call)
% 0.76/0.95  ;     0.007   1%   Assert                       (96 calls)
% 0.76/0.95  ;     0.067  14%   Process new row              (1,625 calls)
% 0.76/0.95  ;     0.297  62%   Resolution                   (382 calls)
% 0.76/0.95  ;     0.004   1%   Paramodulation               (191 calls)
% 0.76/0.95  ;     0.006   1%   Condensing                   (458 calls)
% 0.76/0.95  ;     0.010   2%   Forward subsumption          (458 calls)
% 0.76/0.95  ;     0.005   1%   Backward subsumption         (453 calls)
% 0.76/0.95  ;     0.001   0%   Clause clause subsumption    (100 calls)
% 0.76/0.95  ;     0.021   4%   Forward simplification       (1,625 calls)
% 0.76/0.95  ;     0.006   1%   Backward simplification      (989 calls)
% 0.76/0.95  ;     0.000   0%   Ordering                     (652 calls)
% 0.76/0.95  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.76/0.95  ;     0.001   0%   Purity testing               (1 call)
% 0.76/0.95  ;     0.026   5%   Other
% 0.76/0.95  ;     0.478        Total
% 0.76/0.95  ;     0.479        Real time
% 0.76/0.95  ; 
% 0.76/0.95  ; Term-hash-array has 1,867 terms in all.
% 0.76/0.95  ; Feature-vector-row-index has 447 entries (447 at peak, 453 added, 6 deleted).
% 0.76/0.95  ; Feature-vector-row-index has 1,965 nodes (1,965 at peak, 1,977 added, 12 deleted).
% 0.76/0.95  ;  Retrieved 173 possibly forward subsuming rows in 458 calls.
% 0.76/0.95  ;  Retrieved 121 possibly backward subsumed rows in 453 calls.
% 0.76/0.95  ; Path-index has 1,789 entries (1,789 at peak, 1,889 added, 100 deleted).
% 0.76/0.95  ; Path-index has 2,185 nodes (2,185 at peak, 2,221 added, 36 deleted).
% 0.76/0.95  ; Trie-index has 1,789 entries (1,789 at peak, 1,889 added, 100 deleted).
% 0.76/0.95  ; Trie-index has 4,750 nodes (4,750 at peak, 4,877 added, 127 deleted).
% 0.76/0.95  ; Retrieved 1,229 generalization terms in 5,601 calls.
% 0.76/0.95  ; Retrieved 553 instance terms in 535 calls.
% 0.76/0.95  ; Retrieved 794,808 unifiable terms in 24,116 calls.
% 0.76/0.95  ; 
% 0.76/0.95  ; The agenda of rows to process has 10 entries:
% 0.76/0.95  ;     3 with value 4               3 with value 14               1 with value 27
% 0.76/0.95  ;     1 with value 8               1 with value 21               1 with value 38
% 0.76/0.95  ; The agenda of input rows to give has 8 entries:
% 0.76/0.95  ;     1 with value 32              3 with value 40               3 with value 44
% 0.76/0.95  ;     1 with value 35
% 0.76/0.95  ; The agenda of rows to give has 719 entries:
% 0.76/0.95  ;    56 with value (4 5)           9 with value (4 12)           1 with value (4 21)
% 0.76/0.95  ;     4 with value (4 6)         105 with value (4 13)           4 with value (4 22)
% 0.76/0.95  ;    39 with value (4 7)         128 with value (4 15)          24 with value (4 25)
% 0.76/0.95  ;    17 with value (4 8)           1 with value (4 16)           2 with value (4 27)
% 0.76/0.95  ;   160 with value (4 9)          11 with value (4 17)           2 with value (4 30)
% 0.76/0.95  ;    39 with value (4 10)         61 with value (4 18)           1 with value (4 31)
% 0.76/0.95  ;    55 with value (4 11)
% 0.76/0.95  Evaluation took:
% 0.76/0.95    0.48 seconds of real time
% 0.76/0.95    0.460597 seconds of user run time
% 0.76/0.95    0.019104 seconds of system run time
% 0.76/0.95    [Run times include 0.016 seconds GC run time.]
% 0.76/0.95    0 calls to %EVAL
% 0.76/0.95    0 page faults and
% 0.76/0.95    36,043,176 bytes consed.
% 0.76/0.95  :PROOF-FOUND
% 0.76/0.95  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T17:44:23
% 0.76/0.95  :PROOF-FOUND
% 0.76/0.95  * 
%------------------------------------------------------------------------------