TSTP Solution File: SWC008+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 127.73s 127.98s
% Output   : Refutation 127.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;  16 RR)
%            Number of literals    :   27 (   9 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ frontsegP(X,Y)
    | ssList('SKOLEMAAAW6'(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

cnf(14,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ frontsegP(X,Y)
    | app(Y,'SKOLEMAAAW6'(Y,X)) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

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('SKOLEMAAAW48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAW49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAW49' = 'SKOLEMAAAW51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAW48' = 'SKOLEMAAAW50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    frontsegP('SKOLEMAAAW51','SKOLEMAAAW50'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,plain,
    frontsegP('SKOLEMAAAW49','SKOLEMAAAW48'),
    inference('REWRITE',[status(thm)],[194,193,192,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) != 'SKOLEMAAAW49'
    | app(X,Z) != 'SKOLEMAAAW48' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(241,plain,
    app('SKOLEMAAAW49',nil) = 'SKOLEMAAAW49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(242,plain,
    app('SKOLEMAAAW48',nil) = 'SKOLEMAAAW48',
    inference('HYPERRESOLVE',[status(thm)],[175,188]) ).

cnf(376,plain,
    ssList('SKOLEMAAAW6'('SKOLEMAAAW48','SKOLEMAAAW49')),
    inference('HYPERRESOLVE',[status(thm)],[13,189,188,195]) ).

cnf(407,plain,
    app('SKOLEMAAAW48','SKOLEMAAAW6'('SKOLEMAAAW48','SKOLEMAAAW49')) = 'SKOLEMAAAW49',
    inference('HYPERRESOLVE',[status(thm)],[14,189,188,195]) ).

cnf(32620,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[198,242,188,376,84]),241,407,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n025.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 Jun 12 07:40:23 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:40:23
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-12T07:40:23
% 127.73/127.98  
% 127.73/127.98  
% 127.73/127.98  #||
% 127.73/127.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 127.73/127.98  % SZS output start Refutation
% See solution above
% 127.73/127.98  ||#
% 127.73/127.98  
% 127.73/127.98  ; Summary of computation:
% 127.73/127.98  ;     83503 formulas have been input or derived (from 265 formulas).
% 127.73/127.98  ;     32620 (39%) were retained.  Of these,
% 127.73/127.98  ;         5528 (17%) were simplified or subsumed later,
% 127.73/127.98  ;        27092 (83%) are still being kept.
% 127.73/127.98  ; 
% 127.73/127.98  ; Run time in seconds excluding printing time:
% 127.73/127.98  ;     0.027   0%   Read assertion file          (1 call)
% 127.73/127.98  ;     0.007   0%   Assert                       (96 calls)
% 127.73/127.98  ;     3.544   3%   Process new row              (82,609 calls)
% 127.73/127.98  ;   118.561  93%   Resolution                   (528 calls)
% 127.73/127.98  ;     0.003   0%   Paramodulation               (264 calls)
% 127.73/127.98  ;     0.011   0%   Condensing                   (1,049 calls)
% 127.73/127.98  ;     0.045   0%   Forward subsumption          (1,049 calls)
% 127.73/127.98  ;     0.022   0%   Backward subsumption         (1,019 calls)
% 127.73/127.98  ;     0.004   0%   Clause clause subsumption    (1,322 calls)
% 127.73/127.98  ;     2.451   2%   Forward simplification       (82,609 calls)
% 127.73/127.98  ;     2.462   2%   Backward simplification      (32,617 calls)
% 127.73/127.98  ;     0.023   0%   Ordering                     (3,668 calls)
% 127.73/127.98  ;     0.001   0%   Sortal reasoning             (32 calls)
% 127.73/127.98  ;     0.000   0%   Purity testing               (1 call)
% 127.73/127.98  ;     0.302   0%   Other
% 127.73/127.98  ;   127.463        Total
% 127.73/127.98  ;   127.477        Real time
% 127.73/127.98  ; 
% 127.73/127.99  ; Term-hash-array has 46,382 terms in all.
% 127.73/127.99  ; Feature-vector-row-index has 991 entries (993 at peak, 1,019 added, 28 deleted).
% 127.73/127.99  ; Feature-vector-row-index has 4,440 nodes (4,440 at peak, 4,483 added, 43 deleted).
% 127.73/127.99  ;  Retrieved 1,608 possibly forward subsuming rows in 1,049 calls.
% 127.73/127.99  ;  Retrieved 494 possibly backward subsumed rows in 1,019 calls.
% 127.73/127.99  ; Path-index has 39,347 entries (39,347 at peak, 46,584 added, 7,237 deleted).
% 127.73/127.99  ; Path-index has 6,628 nodes (6,628 at peak, 7,038 added, 410 deleted).
% 127.73/127.99  ; Trie-index has 39,347 entries (39,347 at peak, 46,584 added, 7,237 deleted).
% 127.73/127.99  ; Trie-index has 125,110 nodes (125,110 at peak, 147,205 added, 22,095 deleted).
% 127.73/127.99  ; Retrieved 179,849 generalization terms in 704,653 calls.
% 127.73/127.99  ; Retrieved 31,835 instance terms in 31,597 calls.
% 127.73/127.99  ; Retrieved 284,473,784 unifiable terms in 6,124,152 calls.
% 127.73/127.99  ; 
% 127.73/127.99  ; The agenda of rows to process has 18 entries:
% 127.73/127.99  ;     6 with value 15              2 with value 19               1 with value 23
% 127.73/127.99  ;     2 with value 16              4 with value 22               3 with value 25
% 127.73/127.99  ; The agenda of rows to give has 26827 entries:
% 127.73/127.99  ;    38 with value (4 8)         339 with value (4 18)        3120 with value (4 28)
% 127.73/127.99  ;   143 with value (4 9)         455 with value (4 19)        3101 with value (4 29)
% 127.73/127.99  ;    51 with value (4 10)        290 with value (4 20)        2903 with value (4 30)
% 127.73/127.99  ;   128 with value (4 11)        568 with value (4 21)        2396 with value (4 31)
% 127.73/127.99  ;   189 with value (4 12)        483 with value (4 22)        1176 with value (4 32)
% 127.73/127.99  ;   160 with value (4 13)       1117 with value (4 23)        1372 with value (4 33)
% 127.73/127.99  ;   268 with value (4 14)       1237 with value (4 24)          12 with value (4 35)
% 127.73/127.99  ;   135 with value (4 15)       1724 with value (4 25)           5 with value (4 37)
% 127.73/127.99  ;   488 with value (4 16)       2117 with value (4 26)          30 with value (4 42)
% 127.73/127.99  ;   402 with value (4 17)       2380 with value (4 27)
% 127.73/127.99  Evaluation took:
% 127.73/127.99    127.48 seconds of real time
% 127.73/127.99    126.29733 seconds of user run time
% 127.73/127.99    1.170686 seconds of system run time
% 127.73/127.99    [Run times include 9.587 seconds GC run time.]
% 127.73/127.99    0 calls to %EVAL
% 127.73/127.99    0 page faults and
% 127.73/127.99    11,762,310,912 bytes consed.
% 127.73/127.99  :PROOF-FOUND
% 127.73/127.99  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:42:30
% 127.73/127.99  :PROOF-FOUND
% 127.73/127.99  * 
%------------------------------------------------------------------------------