TSTP Solution File: SWC096+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC096+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 21:56:52 EDT 2022

% Result   : Theorem 0.47s 0.71s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   25 (  10 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | cons(X,nil) != 'SKOLEMAAAV48'
    | app(Y,cons(X,nil)) != 'SKOLEMAAAV49'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | cons(X,nil) != 'SKOLEMAAAV48'
    | app(Y,cons(X,nil)) != 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ssList('SKOLEMAAAV53'),
    inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[201,194,192,193,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    app('SKOLEMAAAV53','SKOLEMAAAV48') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[203,194,192,202,theory(equality)]) ).

cnf(637,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[196,198,200,202]),204,202,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWC096+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 01:14:52 EDT 2022
% 0.13/0.35  % 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  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T01:14:52
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-12T01:14:52
% 0.47/0.71  
% 0.47/0.71  
% 0.47/0.71  #||
% 0.47/0.71  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.71  % SZS output start Refutation
% See solution above
% 0.47/0.71  ||#
% 0.47/0.71  
% 0.47/0.71  ; Summary of computation:
% 0.47/0.71  ;      1182 formulas have been input or derived (from 169 formulas).
% 0.47/0.71  ;       637 (54%) were retained.  Of these,
% 0.47/0.71  ;           72 (11%) were simplified or subsumed later,
% 0.47/0.71  ;          565 (89%) are still being kept.
% 0.47/0.71  ; 
% 0.47/0.71  ; Run time in seconds excluding printing time:
% 0.47/0.71  ;     0.027  12%   Read assertion file          (1 call)
% 0.47/0.71  ;     0.008   4%   Assert                       (96 calls)
% 0.47/0.71  ;     0.033  15%   Process new row              (1,118 calls)
% 0.47/0.71  ;     0.085  38%   Resolution                   (336 calls)
% 0.47/0.71  ;     0.002   1%   Paramodulation               (168 calls)
% 0.47/0.71  ;     0.007   3%   Condensing                   (299 calls)
% 0.47/0.71  ;     0.003   1%   Forward subsumption          (299 calls)
% 0.47/0.71  ;     0.005   2%   Backward subsumption         (296 calls)
% 0.47/0.71  ;     0.001   0%   Clause clause subsumption    (81 calls)
% 0.47/0.71  ;     0.019   8%   Forward simplification       (1,118 calls)
% 0.47/0.71  ;     0.005   2%   Backward simplification      (632 calls)
% 0.47/0.71  ;     0.001   0%   Ordering                     (388 calls)
% 0.47/0.71  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.47/0.71  ;     0.000   0%   Purity testing               (1 call)
% 0.47/0.71  ;     0.028  12%   Other
% 0.47/0.71  ;     0.225        Total
% 0.47/0.71  ;     0.227        Real time
% 0.47/0.71  ; 
% 0.47/0.71  ; Term-hash-array has 1,080 terms in all.
% 0.47/0.71  ; Feature-vector-row-index has 284 entries (284 at peak, 296 added, 12 deleted).
% 0.47/0.71  ; Feature-vector-row-index has 913 nodes (913 at peak, 939 added, 26 deleted).
% 0.47/0.71  ;  Retrieved 138 possibly forward subsuming rows in 299 calls.
% 0.47/0.71  ;  Retrieved 99 possibly backward subsumed rows in 296 calls.
% 0.47/0.71  ; Path-index has 1,016 entries (1,016 at peak, 1,115 added, 99 deleted).
% 0.47/0.71  ; Path-index has 1,413 nodes (1,413 at peak, 1,469 added, 56 deleted).
% 0.47/0.71  ; Trie-index has 1,016 entries (1,016 at peak, 1,115 added, 99 deleted).
% 0.47/0.71  ; Trie-index has 2,344 nodes (2,344 at peak, 2,471 added, 127 deleted).
% 0.47/0.71  ; Retrieved 911 generalization terms in 3,323 calls.
% 0.47/0.71  ; Retrieved 335 instance terms in 335 calls.
% 0.47/0.71  ; Retrieved 184,488 unifiable terms in 7,976 calls.
% 0.47/0.71  ; 
% 0.47/0.71  ; The agenda of rows to process has 4 entries:
% 0.47/0.71  ;     3 with value 11              1 with value 18
% 0.47/0.71  ; The agenda of input rows to give has 29 entries:
% 0.47/0.71  ;     3 with value 24              6 with value 27               1 with value 35
% 0.47/0.71  ;     8 with value 25              1 with value 29               3 with value 40
% 0.47/0.71  ;     3 with value 26              1 with value 32               3 with value 44
% 0.47/0.71  ; The agenda of rows to give has 367 entries:
% 0.47/0.71  ;     8 with value (4 4)          80 with value (4 9)           45 with value (4 13)
% 0.47/0.71  ;    53 with value (4 5)          25 with value (4 10)          37 with value (4 15)
% 0.47/0.71  ;     6 with value (4 6)          32 with value (4 11)           2 with value (4 17)
% 0.47/0.71  ;    28 with value (4 7)           5 with value (4 12)          24 with value (4 18)
% 0.47/0.71  ;    22 with value (4 8)
% 0.47/0.71  Evaluation took:
% 0.47/0.71    0.228 seconds of real time
% 0.47/0.71    0.216269 seconds of user run time
% 0.47/0.71    0.011034 seconds of system run time
% 0.47/0.71    [Run times include 0.009 seconds GC run time.]
% 0.47/0.71    0 calls to %EVAL
% 0.47/0.71    0 page faults and
% 0.47/0.71    15,810,312 bytes consed.
% 0.47/0.71  :PROOF-FOUND
% 0.47/0.71  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T01:14:53
% 0.47/0.71  :PROOF-FOUND
% 0.47/0.71  * 
%------------------------------------------------------------------------------