TSTP Solution File: SWC256+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC256+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 21:57:49 EDT 2022

% Result   : Theorem 0.14s 0.52s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   17 (  11 unt;   4 nHn;  17 RR)
%            Number of literals    :   27 (  12 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 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(12,axiom,
    ( ~ ssList(X)
    | singletonP(X)
    | ~ ssItem(Y)
    | cons(Y,nil) != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).

cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAQ48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAQ49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAQ49' = 'SKOLEMAAAQ51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAQ48' = 'SKOLEMAAAQ50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAQ49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ~ singletonP('SKOLEMAAAQ48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( ssItem('SKOLEMAAAQ52')
    | nil = 'SKOLEMAAAQ51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( ssItem('SKOLEMAAAQ52')
    | nil = 'SKOLEMAAAQ49' ),
    inference('REWRITE',[status(thm)],[196,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( cons('SKOLEMAAAQ52',nil) = 'SKOLEMAAAQ50'
    | nil = 'SKOLEMAAAQ51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ( cons('SKOLEMAAAQ52',nil) = 'SKOLEMAAAQ48'
    | nil = 'SKOLEMAAAQ49' ),
    inference('REWRITE',[status(thm)],[200,192,193,theory(equality)]) ).

cnf(394,plain,
    nil != 'SKOLEMAAAQ49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(395,plain,
    ssItem('SKOLEMAAAQ52'),
    inference('REWRITE',[status(thm)],[197,394]) ).

cnf(396,plain,
    cons('SKOLEMAAAQ52',nil) = 'SKOLEMAAAQ48',
    inference('REWRITE',[status(thm)],[201,394]) ).

cnf(476,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[12,188,195,395,396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWC256+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.09  % Command  : run-snark %s %d
% 0.08/0.29  % Computer : n016.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Sun Jun 12 16:26:58 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.14/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.38  #<PACKAGE "SNARK-USER">
% 0.14/0.38  * 
% 0.14/0.38  SNARK-TPTP-OPTIONS
% 0.14/0.38  * 
% 0.14/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38   (USE-FACTORING :POS)
% 0.14/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38  * 
% 0.14/0.38  "."
% 0.14/0.38  * 
% 0.14/0.38  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T16:26:58
% 0.14/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-12T16:26:58
% 0.14/0.52  
% 0.14/0.52  
% 0.14/0.52  #||
% 0.14/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.52  % SZS output start Refutation
% See solution above
% 0.14/0.52  ||#
% 0.14/0.52  
% 0.14/0.52  ; Summary of computation:
% 0.14/0.52  ;       702 formulas have been input or derived (from 128 formulas).
% 0.14/0.52  ;       476 (68%) were retained.  Of these,
% 0.14/0.52  ;          111 (23%) were simplified or subsumed later,
% 0.14/0.52  ;          365 (77%) are still being kept.
% 0.14/0.52  ; 
% 0.14/0.52  ; Run time in seconds excluding printing time:
% 0.14/0.52  ;     0.023  17%   Read assertion file          (1 call)
% 0.14/0.52  ;     0.008   6%   Assert                       (96 calls)
% 0.14/0.52  ;     0.029  21%   Process new row              (677 calls)
% 0.14/0.52  ;     0.024  18%   Resolution                   (254 calls)
% 0.14/0.52  ;     0.000   0%   Paramodulation               (127 calls)
% 0.14/0.52  ;     0.000   0%   Factoring                    (6 calls)
% 0.14/0.52  ;     0.002   1%   Condensing                   (323 calls)
% 0.14/0.52  ;     0.005   4%   Forward subsumption          (323 calls)
% 0.14/0.52  ;     0.001   1%   Backward subsumption         (313 calls)
% 0.14/0.52  ;     0.001   1%   Clause clause subsumption    (89 calls)
% 0.14/0.52  ;     0.015  11%   Forward simplification       (677 calls)
% 0.14/0.52  ;     0.006   4%   Backward simplification      (470 calls)
% 0.14/0.52  ;     0.001   1%   Ordering                     (290 calls)
% 0.14/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.14/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.52  ;     0.022  16%   Other
% 0.14/0.52  ;     0.137        Total
% 0.14/0.52  ;     0.139        Real time
% 0.14/0.52  ; 
% 0.14/0.52  ; Term-hash-array has 683 terms in all.
% 0.14/0.52  ; Feature-vector-row-index has 218 entries (300 at peak, 313 added, 95 deleted).
% 0.14/0.52  ; Feature-vector-row-index has 709 nodes (964 at peak, 997 added, 288 deleted).
% 0.14/0.52  ;  Retrieved 155 possibly forward subsuming rows in 323 calls.
% 0.14/0.52  ;  Retrieved 105 possibly backward subsumed rows in 313 calls.
% 0.14/0.52  ; Path-index has 602 entries (627 at peak, 723 added, 121 deleted).
% 0.14/0.52  ; Path-index has 1,175 nodes (1,211 at peak, 1,295 added, 120 deleted).
% 0.14/0.52  ; Trie-index has 602 entries (627 at peak, 723 added, 121 deleted).
% 0.14/0.52  ; Trie-index has 1,280 nodes (1,280 at peak, 1,418 added, 138 deleted).
% 0.14/0.52  ; Retrieved 234 generalization terms in 1,205 calls.
% 0.14/0.52  ; Retrieved 156 instance terms in 156 calls.
% 0.14/0.52  ; Retrieved 28,387 unifiable terms in 1,716 calls.
% 0.14/0.52  ; 
% 0.14/0.52  ; The agenda of rows to process has 11 entries:
% 0.14/0.52  ;     4 with value 4               6 with value 8                1 with value 14
% 0.14/0.52  ; The agenda of input rows to give has 75 entries:
% 0.14/0.52  ;     6 with value 16              5 with value 22               1 with value 29
% 0.14/0.52  ;     4 with value 17              2 with value 23               1 with value 32
% 0.14/0.52  ;     7 with value 18              3 with value 24               1 with value 35
% 0.14/0.52  ;     2 with value 19              8 with value 25               3 with value 40
% 0.14/0.52  ;    11 with value 20              3 with value 26               3 with value 44
% 0.14/0.52  ;     9 with value 21              6 with value 27
% 0.14/0.52  ; The agenda of rows to give has 168 entries:
% 0.14/0.52  ;     7 with value (4 4)          32 with value (4 7)           16 with value (4 10)
% 0.14/0.52  ;    43 with value (4 5)          21 with value (4 8)            3 with value (4 11)
% 0.14/0.52  ;     6 with value (4 6)          40 with value (4 9)
% 0.14/0.52  Evaluation took:
% 0.14/0.52    0.139 seconds of real time
% 0.14/0.52    0.127203 seconds of user run time
% 0.14/0.52    0.01214 seconds of system run time
% 0.14/0.52    0 calls to %EVAL
% 0.14/0.52    0 page faults and
% 0.14/0.52    8,663,464 bytes consed.
% 0.14/0.52  :PROOF-FOUND
% 0.14/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T16:26:58
% 0.14/0.52  :PROOF-FOUND
% 0.14/0.52  * 
%------------------------------------------------------------------------------