TSTP Solution File: SWC009+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 72.86s 73.04s
% Output   : Refutation 72.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   18 (   9 equ;   6 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   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('SKOLEMAAAU48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAU49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAU49' = 'SKOLEMAAAU51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAU48' = 'SKOLEMAAAU50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) != 'SKOLEMAAAU49'
    | app(X,Z) != 'SKOLEMAAAU48' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ssList('SKOLEMAAAU52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    app('SKOLEMAAAU50','SKOLEMAAAU52') = 'SKOLEMAAAU51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    app('SKOLEMAAAU48','SKOLEMAAAU52') = 'SKOLEMAAAU49',
    inference('REWRITE',[status(thm)],[196,192,193,theory(equality)]) ).

cnf(252,plain,
    app('SKOLEMAAAU49',nil) = 'SKOLEMAAAU49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(253,plain,
    app('SKOLEMAAAU48',nil) = 'SKOLEMAAAU48',
    inference('HYPERRESOLVE',[status(thm)],[175,188]) ).

cnf(39638,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[194,253,188,195,84]),252,197,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 12 07:51:49 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (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  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:51:49
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T07:51:49
% 72.86/73.04  
% 72.86/73.04  
% 72.86/73.04  #||
% 72.86/73.04  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.86/73.04  % SZS output start Refutation
% See solution above
% 72.86/73.04  ||#
% 72.86/73.04  
% 72.86/73.04  ; Summary of computation:
% 72.86/73.04  ;    108140 formulas have been input or derived (from 277 formulas).
% 72.86/73.04  ;     39638 (37%) were retained.  Of these,
% 72.86/73.04  ;         9801 (25%) were simplified or subsumed later,
% 72.86/73.04  ;        29837 (75%) are still being kept.
% 72.86/73.04  ; 
% 72.86/73.04  ; Run time in seconds excluding printing time:
% 72.86/73.04  ;     0.027   0%   Read assertion file          (1 call)
% 72.86/73.04  ;     0.008   0%   Assert                       (96 calls)
% 72.86/73.04  ;     3.704   5%   Process new row              (107,110 calls)
% 72.86/73.04  ;    61.397  85%   Resolution                   (552 calls)
% 72.86/73.04  ;     0.007   0%   Paramodulation               (276 calls)
% 72.86/73.04  ;     0.007   0%   Condensing                   (1,321 calls)
% 72.86/73.04  ;     0.052   0%   Forward subsumption          (1,321 calls)
% 72.86/73.04  ;     0.018   0%   Backward subsumption         (1,280 calls)
% 72.86/73.04  ;     0.005   0%   Clause clause subsumption    (2,071 calls)
% 72.86/73.04  ;     3.227   4%   Forward simplification       (107,110 calls)
% 72.86/73.04  ;     3.687   5%   Backward simplification      (39,634 calls)
% 72.86/73.04  ;     0.044   0%   Ordering                     (4,686 calls)
% 72.86/73.04  ;     0.000   0%   Sortal reasoning             (32 calls)
% 72.86/73.04  ;     0.001   0%   Purity testing               (1 call)
% 72.86/73.04  ;     0.365   1%   Other
% 72.86/73.04  ;    72.549        Total
% 72.86/73.04  ;    72.559        Real time
% 72.86/73.05  ; 
% 72.86/73.05  ; Term-hash-array has 53,348 terms in all.
% 72.86/73.05  ; Feature-vector-row-index has 1,248 entries (1,261 at peak, 1,280 added, 32 deleted).
% 72.86/73.05  ; Feature-vector-row-index has 6,025 nodes (6,025 at peak, 6,064 added, 39 deleted).
% 72.86/73.05  ;  Retrieved 2,173 possibly forward subsuming rows in 1,321 calls.
% 72.86/73.05  ;  Retrieved 843 possibly backward subsumed rows in 1,280 calls.
% 72.86/73.05  ; Path-index has 41,298 entries (41,298 at peak, 53,687 added, 12,389 deleted).
% 72.86/73.05  ; Path-index has 4,741 nodes (4,752 at peak, 4,935 added, 194 deleted).
% 72.86/73.05  ; Trie-index has 41,298 entries (41,298 at peak, 53,687 added, 12,389 deleted).
% 72.86/73.05  ; Trie-index has 114,931 nodes (114,931 at peak, 148,383 added, 33,452 deleted).
% 72.86/73.05  ; Retrieved 236,652 generalization terms in 968,509 calls.
% 72.86/73.05  ; Retrieved 38,750 instance terms in 38,353 calls.
% 72.86/73.05  ; Retrieved 143,356,267 unifiable terms in 3,137,545 calls.
% 72.86/73.05  ; 
% 72.86/73.05  ; The agenda of rows to process has 25 entries:
% 72.86/73.05  ;     3 with value 12              2 with value 19               1 with value 23
% 72.86/73.05  ;    10 with value 15              4 with value 22               3 with value 25
% 72.86/73.05  ;     2 with value 16
% 72.86/73.05  ; The agenda of rows to give has 29560 entries:
% 72.86/73.05  ;    38 with value (4 8)         696 with value (4 17)        1509 with value (4 25)
% 72.86/73.05  ;   209 with value (4 9)         463 with value (4 18)        5588 with value (4 26)
% 72.86/73.05  ;    38 with value (4 10)        639 with value (4 19)         344 with value (4 27)
% 72.86/73.05  ;   122 with value (4 11)        423 with value (4 20)        7609 with value (4 28)
% 72.86/73.05  ;   274 with value (4 12)        959 with value (4 21)         829 with value (4 29)
% 72.86/73.05  ;   189 with value (4 13)        521 with value (4 22)        4071 with value (4 30)
% 72.86/73.05  ;   283 with value (4 14)       1643 with value (4 23)           8 with value (4 37)
% 72.86/73.05  ;   179 with value (4 15)       2349 with value (4 24)          48 with value (4 42)
% 72.86/73.05  ;   529 with value (4 16)
% 72.86/73.05  Evaluation took:
% 72.86/73.05    72.562 seconds of real time
% 72.86/73.05    71.47783 seconds of user run time
% 72.86/73.05    1.074543 seconds of system run time
% 72.86/73.05    [Run times include 6.679 seconds GC run time.]
% 72.86/73.05    0 calls to %EVAL
% 72.86/73.05    0 page faults and
% 72.86/73.05    5,850,307,488 bytes consed.
% 72.86/73.05  :PROOF-FOUND
% 72.86/73.05  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:53:01
% 72.86/73.05  :PROOF-FOUND
% 72.86/73.05  * 
%------------------------------------------------------------------------------