TSTP Solution File: SWV005-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 : Wed Jul 20 21:31:28 EDT 2022

% Result   : Unsatisfiable 0.22s 0.57s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   2 nHn;   7 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ~ less_than(n,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,negated_conjecture,
    ~ less_than(k,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_5,negated_conjecture,
    less_than(one,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    less_than(a(k),a(predecessor(l))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_8,negated_conjecture,
    ( less_than(X,l)
    | less_than(n,X)
    | ~ less_than(one,l)
    | ~ less_than(a(X),a(predecessor(l))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

cnf(21,plain,
    ( less_than(X,l)
    | less_than(n,X)
    | ~ less_than(a(X),a(predecessor(l))) ),
    inference('REWRITE',[status(thm)],[clause_8,clause_5]) ).

cnf(75,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[21,clause_2,clause_1,clause_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 06:21:26 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:21:26
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-16T06:21:26
% 0.22/0.57  
% 0.22/0.57  
% 0.22/0.57  #||
% 0.22/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.57  % SZS output start Refutation
% See solution above
% 0.22/0.57  ||#
% 0.22/0.57  
% 0.22/0.57  ; Summary of computation:
% 0.22/0.57  ;       310 formulas have been input or derived (from 21 formulas).
% 0.22/0.57  ;        75 (24%) were retained.  Of these,
% 0.22/0.57  ;            1 ( 1%) were simplified or subsumed later,
% 0.22/0.57  ;           74 (99%) are still being kept.
% 0.22/0.57  ; 
% 0.22/0.57  ; Run time in seconds:
% 0.22/0.57  ;     0.004   7%   Read assertion file          (1 call)
% 0.22/0.57  ;     0.000   0%   Assert                       (21 calls)
% 0.22/0.57  ;     0.005   9%   Process new row              (279 calls)
% 0.22/0.57  ;     0.006  11%   Resolution                   (40 calls)
% 0.22/0.57  ;     0.001   2%   Paramodulation               (20 calls)
% 0.22/0.57  ;     0.000   0%   Factoring                    (1 call)
% 0.22/0.57  ;     0.003   5%   Condensing                   (74 calls)
% 0.22/0.57  ;     0.001   2%   Forward subsumption          (74 calls)
% 0.22/0.57  ;     0.002   4%   Backward subsumption         (28 calls)
% 0.22/0.57  ;     0.005   9%   Clause clause subsumption    (69 calls)
% 0.22/0.57  ;     0.003   5%   Forward simplification       (279 calls)
% 0.22/0.57  ;     0.001   2%   Backward simplification      (74 calls)
% 0.22/0.57  ;     0.000   0%   Ordering                     (179 calls)
% 0.22/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.22/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.57  ;     0.026  46%   Other
% 0.22/0.57  ;     0.057        Total
% 0.22/0.57  ;     0.057        Real time
% 0.22/0.57  ; 
% 0.22/0.57  ; Term-hash-array has 114 terms in all.
% 0.22/0.57  ; Feature-vector-row-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.22/0.57  ; Feature-vector-row-index has 110 nodes (110 at peak, 110 added, 0 deleted).
% 0.22/0.57  ;  Retrieved 90 possibly forward subsuming rows in 74 calls.
% 0.22/0.57  ;  Retrieved 2 possibly backward subsumed rows in 28 calls.
% 0.22/0.57  ; Path-index has 119 entries (119 at peak, 119 added, 0 deleted).
% 0.22/0.57  ; Path-index has 116 nodes (116 at peak, 116 added, 0 deleted).
% 0.22/0.57  ; Trie-index has 119 entries (119 at peak, 119 added, 0 deleted).
% 0.22/0.57  ; Trie-index has 193 nodes (193 at peak, 193 added, 0 deleted).
% 0.22/0.57  ; Retrieved 543 generalization terms in 696 calls.
% 0.22/0.57  ; Retrieved 62 instance terms in 45 calls.
% 0.22/0.57  ; Retrieved 2,087 unifiable terms in 236 calls.
% 0.22/0.57  ; 
% 0.22/0.57  ; The agenda of rows to process has 5 entries:
% 0.22/0.57  ;     2 with value 5               1 with value 10               1 with value 27
% 0.22/0.57  ;     1 with value 9
% 0.22/0.57  ; The agenda of input rows to give has 1 entry:
% 0.22/0.57  ;     1 with value 17
% 0.22/0.57  ; The agenda of rows to give has 52 entries:
% 0.22/0.57  ;     7 with value (4 5)           1 with value (4 11)           2 with value (4 17)
% 0.22/0.57  ;    20 with value (4 7)           1 with value (4 12)           2 with value (4 21)
% 0.22/0.57  ;     1 with value (4 8)           6 with value (4 13)           1 with value (4 23)
% 0.22/0.57  ;     5 with value (4 9)           3 with value (4 15)           1 with value (4 31)
% 0.22/0.57  ;     2 with value (4 10)
% 0.22/0.57  Evaluation took:
% 0.22/0.57    0.058 seconds of real time
% 0.22/0.57    0.050787 seconds of user run time
% 0.22/0.57    0.006893 seconds of system run time
% 0.22/0.57    0 calls to %EVAL
% 0.22/0.57    0 page faults and
% 0.22/0.57    3,135,856 bytes consed.
% 0.22/0.57  :PROOF-FOUND
% 0.22/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:21:26
% 0.22/0.57  :PROOF-FOUND
% 0.22/0.57  * 
%------------------------------------------------------------------------------