TSTP Solution File: SWV009-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Wed Jul 20 21:31:29 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   22 (   0 equ;  11 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( less_or_equal(X,Y)
    | less(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_3,negated_conjecture,
    less_or_equal(m,p),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,negated_conjecture,
    less_or_equal(p,q),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_5,negated_conjecture,
    less_or_equal(q,n),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    ( ~ less_or_equal(m,X)
    | ~ less(X,i)
    | ~ less(j,Y)
    | ~ less_or_equal(Y,n)
    | less_or_equal(a(X),a(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    ( ~ less_or_equal(m,X)
    | ~ less_or_equal(X,Y)
    | ~ less_or_equal(Y,j)
    | less_or_equal(a(X),a(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_8,negated_conjecture,
    ( ~ less_or_equal(i,X)
    | ~ less_or_equal(X,Y)
    | ~ less_or_equal(Y,n)
    | less_or_equal(a(X),a(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

cnf(clause_9,negated_conjecture,
    ~ less_or_equal(a(p),a(q)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

cnf(12,plain,
    less(j,q),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_7,clause_3,clause_4,clause_1]),clause_9]) ).

cnf(18,plain,
    less(p,i),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_8,clause_1,clause_4,clause_5]),clause_9]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_6,12,clause_3,clause_5,clause_9]),18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 16 00:28:48 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-16T00:28:48
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-16T00:28:48
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        31 formulas have been input or derived (from 12 formulas).
% 0.20/0.51  ;        24 (77%) were retained.  Of these,
% 0.20/0.51  ;           24 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (9 calls)
% 0.20/0.51  ;     0.003  10%   Process new row              (27 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (22 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (11 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.51  ;     0.000   0%   Condensing                   (13 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (27 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (24 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (50 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.024  83%   Other
% 0.20/0.51  ;     0.029        Total
% 0.20/0.51  ;     0.032        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 47 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 10 possibly forward subsuming rows in 13 calls.
% 0.20/0.51  ;  Retrieved 1 possibly backward subsumed row in 13 calls.
% 0.20/0.51  ; Path-index has 53 entries (53 at peak, 53 added, 0 deleted).
% 0.20/0.51  ; Path-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 53 entries (53 at peak, 53 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 80 nodes (80 at peak, 80 added, 0 deleted).
% 0.20/0.51  ; Retrieved 8 generalization terms in 60 calls.
% 0.20/0.51  ; Retrieved 10 instance terms in 10 calls.
% 0.20/0.51  ; Retrieved 215 unifiable terms in 105 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 2 entries:
% 0.20/0.51  ;     1 with value 13              1 with value 17
% 0.20/0.51  ; The agenda of rows to give has 12 entries:
% 0.20/0.51  ;     2 with value (4 5)           7 with value (4 16)           2 with value (4 20)
% 0.20/0.51  ;     1 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.032 seconds of real time
% 0.20/0.51    0.02715 seconds of user run time
% 0.20/0.51    0.005064 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,116,024 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T00:28:48
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------