TSTP Solution File: SWC041+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC041+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 21:56:33 EDT 2022

% Result   : Theorem 0.44s 0.60s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  12 unt;   0 nHn;  14 RR)
%            Number of literals    :   18 (  12 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   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   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(172,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | nil != app(X,Y)
    | nil = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

cnf(175,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    nil = 'SKOLEMAAAV49',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,plain,
    nil = 'SKOLEMAAAV51',
    inference('REWRITE',[status(thm)],[193,192,theory(equality)]) ).

cnf(195,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    nil != 'SKOLEMAAAV48',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,negated_conjecture,
    ssList('SKOLEMAAAV52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,negated_conjecture,
    app('SKOLEMAAAV50','SKOLEMAAAV52') = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    app('SKOLEMAAAV48','SKOLEMAAAV52') = nil,
    inference('REWRITE',[status(thm)],[198,194,195,theory(equality)]) ).

cnf(245,plain,
    app('SKOLEMAAAV48',nil) = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[175,188]) ).

cnf(385,plain,
    nil = 'SKOLEMAAAV52',
    inference('HYPERRESOLVE',[status(thm)],[172,188,197,199]) ).

cnf(386,plain,
    $false,
    inference('REWRITE',[status(thm)],[199,196,245,385,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC041+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n024.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jun 12 12:58:49 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T12:58:49
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T12:58:49
% 0.44/0.60  
% 0.44/0.60  
% 0.44/0.60  #||
% 0.44/0.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.60  % SZS output start Refutation
% See solution above
% 0.44/0.60  ||#
% 0.44/0.60  
% 0.44/0.60  ; Summary of computation:
% 0.44/0.60  ;       647 formulas have been input or derived (from 130 formulas).
% 0.44/0.60  ;       386 (60%) were retained.  Of these,
% 0.44/0.60  ;           84 (22%) were simplified or subsumed later,
% 0.44/0.60  ;          302 (78%) are still being kept.
% 0.44/0.60  ; 
% 0.44/0.60  ; Run time in seconds excluding printing time:
% 0.44/0.60  ;     0.027  19%   Read assertion file          (1 call)
% 0.44/0.60  ;     0.008   6%   Assert                       (96 calls)
% 0.44/0.60  ;     0.030  21%   Process new row              (561 calls)
% 0.44/0.60  ;     0.024  17%   Resolution                   (258 calls)
% 0.44/0.60  ;     0.000   0%   Paramodulation               (129 calls)
% 0.44/0.60  ;     0.007   5%   Condensing                   (261 calls)
% 0.44/0.61  ;     0.003   2%   Forward subsumption          (261 calls)
% 0.44/0.61  ;     0.006   4%   Backward subsumption         (260 calls)
% 0.44/0.61  ;     0.000   0%   Clause clause subsumption    (66 calls)
% 0.44/0.61  ;     0.004   3%   Forward simplification       (561 calls)
% 0.44/0.61  ;     0.004   3%   Backward simplification      (382 calls)
% 0.44/0.61  ;     0.001   1%   Ordering                     (175 calls)
% 0.44/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.44/0.61  ;     0.028  20%   Other
% 0.44/0.61  ;     0.143        Total
% 0.44/0.61  ;     0.143        Real time
% 0.44/0.61  ; 
% 0.44/0.61  ; Term-hash-array has 643 terms in all.
% 0.44/0.61  ; Feature-vector-row-index has 208 entries (260 at peak, 260 added, 52 deleted).
% 0.44/0.61  ; Feature-vector-row-index has 684 nodes (823 at peak, 823 added, 139 deleted).
% 0.44/0.61  ;  Retrieved 118 possibly forward subsuming rows in 261 calls.
% 0.44/0.61  ;  Retrieved 89 possibly backward subsumed rows in 260 calls.
% 0.44/0.61  ; Path-index has 507 entries (646 at peak, 651 added, 144 deleted).
% 0.44/0.61  ; Path-index has 1,105 nodes (1,234 at peak, 1,239 added, 134 deleted).
% 0.44/0.61  ; Trie-index has 507 entries (646 at peak, 651 added, 144 deleted).
% 0.44/0.61  ; Trie-index has 1,149 nodes (1,329 at peak, 1,334 added, 185 deleted).
% 0.44/0.61  ; Retrieved 192 generalization terms in 935 calls.
% 0.44/0.61  ; Retrieved 121 instance terms in 121 calls.
% 0.44/0.61  ; Retrieved 33,198 unifiable terms in 1,667 calls.
% 0.44/0.61  ; 
% 0.44/0.61  ; The agenda of backward simplifiable rows to process has 69 entries:
% 0.44/0.61  ;    69 with value 0
% 0.44/0.61  ; The agenda of rows to process has 4 entries:
% 0.44/0.61  ;     3 with value 8               1 with value 15
% 0.44/0.61  ; The agenda of input rows to give has 66 entries:
% 0.44/0.61  ;     1 with value 17              2 with value 23               1 with value 29
% 0.44/0.61  ;     7 with value 18              3 with value 24               1 with value 32
% 0.44/0.61  ;     2 with value 19              8 with value 25               1 with value 35
% 0.44/0.61  ;    11 with value 20              3 with value 26               3 with value 40
% 0.44/0.61  ;     9 with value 21              6 with value 27               3 with value 44
% 0.44/0.61  ;     5 with value 22
% 0.44/0.61  ; The agenda of rows to give has 108 entries:
% 0.44/0.61  ;    31 with value (4 5)          11 with value (4 8)            8 with value (4 10)
% 0.44/0.61  ;     4 with value (4 6)          30 with value (4 9)            5 with value (4 11)
% 0.44/0.61  ;    19 with value (4 7)
% 0.44/0.61  Evaluation took:
% 0.44/0.61    0.144 seconds of real time
% 0.44/0.61    0.129456 seconds of user run time
% 0.44/0.61    0.014791 seconds of system run time
% 0.44/0.61    0 calls to %EVAL
% 0.44/0.61    0 page faults and
% 0.44/0.61    8,003,896 bytes consed.
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T12:58:49
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  * 
%------------------------------------------------------------------------------