TSTP Solution File: SET818-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET818-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Tue Jul 19 05:12:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    3 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OemptyE_0,axiom,
    ~ c_in(X,c_emptyset,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_x(X),X,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(3,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OemptyE_0,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET818-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 12:26:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:26:58
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T12:26:58
% 0.19/0.48  
% 0.19/0.50  ; Recognized possible left inverse assertion (|c_in| (|v_x| ?X) ?X |tc_IntDef_Oint|).
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;         4 formulas have been input or derived (from 3 formulas).
% 0.19/0.50  ;         3 (75%) were retained.  Of these,
% 0.19/0.50  ;            3 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds:
% 0.19/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (2 calls)
% 0.19/0.50  ;     0.000   0%   Process new row              (3 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (4 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (2 calls)
% 0.19/0.50  ;     0.001   4%   Forward simplification       (3 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (3 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  92%   Other
% 0.19/0.50  ;     0.024        Total
% 0.19/0.50  ;     0.025        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 3 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.50  ; Path-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.50  ; Path-index has 16 nodes (16 at peak, 16 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.19/0.50  ; Retrieved 0 generalization terms in 1 call.
% 0.19/0.50  ; Retrieved 2 instance terms in 2 calls.
% 0.19/0.50  ; Retrieved 6 unifiable terms in 9 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; All agendas are empty.
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.026 seconds of real time
% 0.19/0.50    0.019629 seconds of user run time
% 0.19/0.50    0.005804 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    1,195,488 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:26:58
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
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