TSTP Solution File: HEN002-4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HEN002-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 : Sat Jul 16 13:02:18 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   2 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
    ( ~ less_equal(X,Y)
    | divide(X,Y) = zero ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).

cnf(zero_is_smallest,axiom,
    less_equal(zero,X),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).

cnf(prove_zero_over_a_is_zero,negated_conjecture,
    divide(zero,a) != zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_over_a_is_zero) ).

cnf(10,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[quotient_less_equal1,zero_is_smallest,prove_zero_over_a_is_zero]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN002-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jul  1 13:40:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:40:19
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-01T13:40:19
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        19 formulas have been input or derived (from 7 formulas).
% 0.19/0.49  ;        10 (53%) were retained.  Of these,
% 0.19/0.49  ;           10 (100%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.000   0%   Assert                       (9 calls)
% 0.19/0.49  ;     0.001   4%   Process new row              (12 calls)
% 0.19/0.49  ;     0.000   0%   Resolution                   (12 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (6 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (3 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (12 calls)
% 0.19/0.49  ;     0.001   4%   Backward simplification      (10 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (6 calls)
% 0.19/0.49  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.021  81%   Other
% 0.19/0.49  ;     0.026        Total
% 0.19/0.49  ;     0.028        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 17 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.49  ; Path-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.19/0.49  ; Path-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.19/0.49  ; Retrieved 2 generalization terms in 7 calls.
% 0.19/0.49  ; Retrieved 6 instance terms in 6 calls.
% 0.19/0.49  ; Retrieved 48 unifiable terms in 29 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 6 entries:
% 0.19/0.49  ;     1 with value 5               4 with value 8                1 with value 11
% 0.19/0.49  ; The agenda of input rows to give has 3 entries:
% 0.19/0.49  ;     1 with value 11              1 with value 12               1 with value 16
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.028 seconds of real time
% 0.19/0.49    0.022488 seconds of user run time
% 0.19/0.49    0.005395 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,395,888 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:40:19
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------