TSTP Solution File: SWV135+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 21:31:55 EDT 2022

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ leq(X,Y)
    | ~ leq(Y,Z)
    | leq(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

cnf(10,axiom,
    ( ~ gt(X,Y)
    | leq(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

cnf(259,negated_conjecture,
    leq(n2,pv1325),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0005) ).

cnf(264,negated_conjecture,
    ~ leq(n0,pv1325),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0005) ).

cnf(275,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).

cnf(353,plain,
    leq(n0,n2),
    inference('HYPERRESOLVE',[status(thm)],[10,275]) ).

cnf(506,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,259,264]),353]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n009.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 : Tue Jun 14 17:15:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.48  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:15:08
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-14T17:15:08
% 0.19/0.53  WARNING:
% 0.19/0.53     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  #||
% 0.56/0.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  ||#
% 0.56/0.74  
% 0.56/0.74  ; Summary of computation:
% 0.56/0.74  ;       914 formulas have been input or derived (from 70 formulas).
% 0.56/0.74  ;       506 (55%) were retained.  Of these,
% 0.56/0.74  ;            5 ( 1%) were simplified or subsumed later,
% 0.56/0.74  ;          501 (99%) are still being kept.
% 0.56/0.74  ; 
% 0.56/0.74  ; Run time in seconds excluding printing time:
% 0.56/0.74  ;     0.021   8%   Read assertion file          (1 call)
% 0.56/0.74  ;     0.010   4%   Assert                       (85 calls)
% 0.56/0.74  ;     0.048  19%   Process new row              (878 calls)
% 0.56/0.74  ;     0.013   5%   Resolution                   (138 calls)
% 0.56/0.74  ;     0.000   0%   Paramodulation               (69 calls)
% 0.56/0.74  ;     0.000   0%   Factoring                    (1 call)
% 0.56/0.74  ;     0.028  11%   Condensing                   (367 calls)
% 0.56/0.74  ;     0.033  13%   Forward subsumption          (367 calls)
% 0.56/0.74  ;     0.017   7%   Backward subsumption         (314 calls)
% 0.56/0.74  ;     0.035  14%   Clause clause subsumption    (904 calls)
% 0.56/0.74  ;     0.023   9%   Forward simplification       (877 calls)
% 0.56/0.74  ;     0.001   0%   Backward simplification      (502 calls)
% 0.56/0.74  ;     0.002   1%   Ordering                     (741 calls)
% 0.56/0.74  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.56/0.74  ;     0.002   1%   Purity testing               (1 call)
% 0.56/0.74  ;     0.022   9%   Other
% 0.56/0.74  ;     0.255        Total
% 0.56/0.74  ;     0.256        Real time
% 0.56/0.74  ; 
% 0.56/0.74  ; Term-hash-array has 624 terms in all.
% 0.56/0.74  ; Feature-vector-row-index has 314 entries (314 at peak, 314 added, 0 deleted).
% 0.56/0.74  ; Feature-vector-row-index has 1,815 nodes (1,815 at peak, 1,815 added, 0 deleted).
% 0.56/0.74  ;  Retrieved 847 possibly forward subsuming rows in 367 calls.
% 0.56/0.74  ;  Retrieved 512 possibly backward subsumed rows in 314 calls.
% 0.56/0.74  ; Path-index has 634 entries (634 at peak, 638 added, 4 deleted).
% 0.56/0.74  ; Path-index has 1,633 nodes (1,633 at peak, 1,637 added, 4 deleted).
% 0.56/0.74  ; Trie-index has 634 entries (634 at peak, 638 added, 4 deleted).
% 0.56/0.74  ; Trie-index has 1,438 nodes (1,438 at peak, 1,446 added, 8 deleted).
% 0.56/0.74  ; Retrieved 2,407 generalization terms in 2,525 calls.
% 0.56/0.74  ; Retrieved 212 instance terms in 187 calls.
% 0.56/0.74  ; Retrieved 7,898 unifiable terms in 574 calls.
% 0.56/0.74  ; 
% 0.56/0.74  ; The agenda of rows to process has 26 entries:
% 0.56/0.74  ;    26 with value 5
% 0.56/0.74  ; The agenda of input rows to give has 226 entries:
% 0.56/0.74  ;     4 with value 12              1 with value 29               4 with value 51
% 0.56/0.74  ;     1 with value 13              1 with value 30              16 with value 59
% 0.56/0.74  ;     2 with value 14              1 with value 32               2 with value 60
% 0.56/0.74  ;     3 with value 16              1 with value 33               1 with value 64
% 0.56/0.74  ;     1 with value 20              8 with value 37               2 with value 72
% 0.56/0.74  ;     1 with value 21              4 with value 38              64 with value 93
% 0.56/0.74  ;     1 with value 22             33 with value 46              48 with value 106
% 0.56/0.74  ;     1 with value 24              8 with value 47              12 with value 119
% 0.56/0.74  ;     2 with value 27              2 with value 50               1 with value 132
% 0.56/0.74  ;     1 with value 28
% 0.56/0.74  ; The agenda of rows to give has 205 entries:
% 0.56/0.74  ;    83 with value (4 5)          13 with value (4 9)            2 with value (4 15)
% 0.56/0.74  ;    36 with value (4 7)          13 with value (4 11)           2 with value (4 17)
% 0.56/0.74  ;     9 with value (4 8)          46 with value (4 13)           1 with value (4 21)
% 0.56/0.74  Evaluation took:
% 0.56/0.74    0.257 seconds of real time
% 0.56/0.74    0.241093 seconds of user run time
% 0.56/0.74    0.015755 seconds of system run time
% 0.56/0.74    [Run times include 0.006 seconds GC run time.]
% 0.56/0.74    0 calls to %EVAL
% 0.56/0.74    0 page faults and
% 0.56/0.74    18,296,152 bytes consed.
% 0.56/0.74  :PROOF-FOUND
% 0.56/0.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:15:08
% 0.56/0.74  :PROOF-FOUND
% 0.56/0.74  * 
%------------------------------------------------------------------------------