TSTP Solution File: SWC213+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC213+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 21:57:36 EDT 2022

% Result   : Theorem 0.38s 0.59s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   14 (  10 unt;   1 nHn;  14 RR)
%            Number of literals    :   22 (  10 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(82,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAU48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

cnf(194,negated_conjecture,
    neq('SKOLEMAAAU49',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(205,negated_conjecture,
    ~ neq('SKOLEMAAAU48',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(206,negated_conjecture,
    ( nil = 'SKOLEMAAAU51'
    | nil != 'SKOLEMAAAU50' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(207,plain,
    ( nil = 'SKOLEMAAAU49'
    | nil != 'SKOLEMAAAU48' ),
    inference('REWRITE',[status(thm)],[206,193,192,theory(equality)]) ).

cnf(485,plain,
    nil != 'SKOLEMAAAU49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(486,plain,
    nil != 'SKOLEMAAAU48',
    inference('REWRITE',[status(thm)],[207,485]) ).

cnf(504,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[82,188,84,205,486]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC213+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 10:15:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T10:15:20
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T10:15:20
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  #||
% 0.38/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59  % SZS output start Refutation
% See solution above
% 0.38/0.59  ||#
% 0.38/0.59  
% 0.38/0.59  ; Summary of computation:
% 0.38/0.59  ;       711 formulas have been input or derived (from 109 formulas).
% 0.38/0.59  ;       504 (71%) were retained.  Of these,
% 0.38/0.59  ;           20 ( 4%) were simplified or subsumed later,
% 0.38/0.59  ;          484 (96%) are still being kept.
% 0.38/0.59  ; 
% 0.38/0.59  ; Run time in seconds excluding printing time:
% 0.38/0.59  ;     0.027  21%   Read assertion file          (1 call)
% 0.38/0.59  ;     0.006   5%   Assert                       (96 calls)
% 0.38/0.59  ;     0.021  17%   Process new row              (673 calls)
% 0.38/0.59  ;     0.019  15%   Resolution                   (216 calls)
% 0.38/0.59  ;     0.000   0%   Paramodulation               (108 calls)
% 0.38/0.59  ;     0.006   5%   Condensing                   (347 calls)
% 0.38/0.59  ;     0.006   5%   Forward subsumption          (347 calls)
% 0.38/0.59  ;     0.004   3%   Backward subsumption         (346 calls)
% 0.38/0.59  ;     0.001   1%   Clause clause subsumption    (66 calls)
% 0.38/0.59  ;     0.009   7%   Forward simplification       (673 calls)
% 0.38/0.59  ;     0.002   2%   Backward simplification      (499 calls)
% 0.38/0.59  ;     0.000   0%   Ordering                     (271 calls)
% 0.38/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.59  ;     0.001   1%   Purity testing               (1 call)
% 0.38/0.59  ;     0.025  20%   Other
% 0.38/0.59  ;     0.127        Total
% 0.38/0.59  ;     0.129        Real time
% 0.38/0.59  ; 
% 0.38/0.59  ; Term-hash-array has 850 terms in all.
% 0.38/0.59  ; Feature-vector-row-index has 333 entries (346 at peak, 346 added, 13 deleted).
% 0.38/0.59  ; Feature-vector-row-index has 970 nodes (1,004 at peak, 1,004 added, 34 deleted).
% 0.38/0.59  ;  Retrieved 124 possibly forward subsuming rows in 347 calls.
% 0.38/0.59  ;  Retrieved 95 possibly backward subsumed rows in 346 calls.
% 0.38/0.59  ; Path-index has 857 entries (857 at peak, 883 added, 26 deleted).
% 0.38/0.59  ; Path-index has 1,416 nodes (1,416 at peak, 1,442 added, 26 deleted).
% 0.38/0.59  ; Trie-index has 857 entries (857 at peak, 883 added, 26 deleted).
% 0.38/0.59  ; Trie-index has 1,526 nodes (1,526 at peak, 1,552 added, 26 deleted).
% 0.38/0.59  ; Retrieved 184 generalization terms in 1,118 calls.
% 0.38/0.59  ; Retrieved 152 instance terms in 152 calls.
% 0.38/0.59  ; Retrieved 30,219 unifiable terms in 1,477 calls.
% 0.38/0.59  ; 
% 0.38/0.59  ; The agenda of rows to process has 30 entries:
% 0.38/0.59  ;     2 with value 4               3 with value 5               25 with value 9
% 0.38/0.59  ; The agenda of input rows to give has 93 entries:
% 0.38/0.59  ;    10 with value 14              9 with value 21               6 with value 27
% 0.38/0.59  ;     3 with value 15              5 with value 22               3 with value 29
% 0.38/0.59  ;     9 with value 16              2 with value 23               1 with value 32
% 0.38/0.59  ;     4 with value 17              3 with value 24               1 with value 35
% 0.38/0.59  ;     7 with value 18              8 with value 25               3 with value 40
% 0.38/0.59  ;     2 with value 19              3 with value 26               3 with value 44
% 0.38/0.59  ;    11 with value 20
% 0.38/0.59  ; The agenda of rows to give has 283 entries:
% 0.38/0.59  ;    48 with value (4 5)          27 with value (4 8)           12 with value (4 10)
% 0.38/0.59  ;    12 with value (4 6)         132 with value (4 9)           12 with value (4 11)
% 0.38/0.59  ;    40 with value (4 7)
% 0.38/0.59  Evaluation took:
% 0.38/0.59    0.129 seconds of real time
% 0.38/0.59    0.111895 seconds of user run time
% 0.38/0.59    0.016942 seconds of system run time
% 0.38/0.59    0 calls to %EVAL
% 0.38/0.59    0 page faults and
% 0.38/0.59    8,320,448 bytes consed.
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T10:15:20
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  * 
%------------------------------------------------------------------------------