TSTP Solution File: SWV006-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV006-1 : 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 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(less_than_successor,axiom,
    less_than(X,successor(X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',less_than_successor) ).

cnf(transitivity_of_less_than,axiom,
    ( less_than(X,Y)
    | ~ less_than(X,Z)
    | ~ less_than(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).

cnf(x_not_less_than_x,axiom,
    ~ less_than(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).

cnf(clause_3,negated_conjecture,
    less_than(i,n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_5,negated_conjecture,
    less_than(a(i),a(m)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    ( less_than(X,i)
    | ~ less_than(X,successor(n))
    | ~ less_than(a(X),a(m)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(31,plain,
    less_than(i,successor(n)),
    inference('HYPERRESOLVE',[status(thm)],[transitivity_of_less_than,clause_3,less_than_successor]) ).

cnf(67,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_6,x_not_less_than_x,clause_5]),31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue Jun 14 19:41:39 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T19:41:39
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-14T19:41:39
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55  % SZS output start Refutation
% See solution above
% 0.21/0.55  ||#
% 0.21/0.55  
% 0.21/0.55  ; Summary of computation:
% 0.21/0.55  ;       294 formulas have been input or derived (from 19 formulas).
% 0.21/0.55  ;        67 (23%) were retained.  Of these,
% 0.21/0.55  ;           67 (100%) are still being kept.
% 0.21/0.55  ; 
% 0.21/0.55  ; Run time in seconds excluding printing time:
% 0.21/0.55  ;     0.003   6%   Read assertion file          (1 call)
% 0.21/0.55  ;     0.001   2%   Assert                       (20 calls)
% 0.21/0.55  ;     0.006  11%   Process new row              (267 calls)
% 0.21/0.55  ;     0.007  13%   Resolution                   (36 calls)
% 0.21/0.55  ;     0.000   0%   Paramodulation               (18 calls)
% 0.21/0.55  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.55  ;     0.004   8%   Condensing                   (68 calls)
% 0.21/0.55  ;     0.001   2%   Forward subsumption          (68 calls)
% 0.21/0.55  ;     0.000   0%   Backward subsumption         (25 calls)
% 0.21/0.55  ;     0.001   2%   Clause clause subsumption    (64 calls)
% 0.21/0.56  ;     0.004   8%   Forward simplification       (267 calls)
% 0.21/0.56  ;     0.000   0%   Backward simplification      (67 calls)
% 0.21/0.56  ;     0.001   2%   Ordering                     (171 calls)
% 0.21/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.56  ;     0.025  47%   Other
% 0.21/0.56  ;     0.053        Total
% 0.21/0.56  ;     0.054        Real time
% 0.21/0.56  ; 
% 0.21/0.56  ; Term-hash-array has 102 terms in all.
% 0.21/0.56  ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.21/0.56  ; Feature-vector-row-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.21/0.56  ;  Retrieved 81 possibly forward subsuming rows in 68 calls.
% 0.21/0.56  ;  Retrieved 2 possibly backward subsumed rows in 25 calls.
% 0.21/0.56  ; Path-index has 106 entries (106 at peak, 106 added, 0 deleted).
% 0.21/0.56  ; Path-index has 101 nodes (101 at peak, 101 added, 0 deleted).
% 0.21/0.56  ; Trie-index has 106 entries (106 at peak, 106 added, 0 deleted).
% 0.21/0.56  ; Trie-index has 163 nodes (163 at peak, 163 added, 0 deleted).
% 0.21/0.56  ; Retrieved 513 generalization terms in 636 calls.
% 0.21/0.56  ; Retrieved 57 instance terms in 41 calls.
% 0.21/0.56  ; Retrieved 1,838 unifiable terms in 198 calls.
% 0.21/0.56  ; 
% 0.21/0.56  ; The agenda of rows to process has 5 entries:
% 0.21/0.56  ;     1 with value 17              1 with value 19               3 with value 31
% 0.21/0.56  ; The agenda of input rows to give has 2 entries:
% 0.21/0.56  ;     1 with value 17              1 with value 21
% 0.21/0.56  ; The agenda of rows to give has 46 entries:
% 0.21/0.56  ;     8 with value (4 5)           2 with value (4 10)           2 with value (4 17)
% 0.21/0.56  ;    16 with value (4 7)           6 with value (4 13)           2 with value (4 19)
% 0.21/0.56  ;     3 with value (4 8)           2 with value (4 15)           1 with value (4 21)
% 0.21/0.56  ;     4 with value (4 9)
% 0.21/0.56  Evaluation took:
% 0.21/0.56    0.055 seconds of real time
% 0.21/0.56    0.050047 seconds of user run time
% 0.21/0.56    0.005322 seconds of system run time
% 0.21/0.56    0 calls to %EVAL
% 0.21/0.56    0 page faults and
% 0.21/0.56    3,058,128 bytes consed.
% 0.21/0.56  :PROOF-FOUND
% 0.21/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T19:41:39
% 0.21/0.56  :PROOF-FOUND
% 0.21/0.56  * 
%------------------------------------------------------------------------------