TSTP Solution File: LCL023-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 : Sun Jul 17 14:19:37 EDT 2022

% Result   : Unsatisfiable 0.49s 0.71s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   14 (  13 unt;   0 nHn;   4 RR)
%            Number of literals    :   16 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(yql,axiom,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yql) ).

cnf(prove_ec_2,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ec_2) ).

cnf(4,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Y))),equivalent(equivalent(U,Z),X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,yql,yql]) ).

cnf(6,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,yql]) ).

cnf(7,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(equivalent(U,Y),equivalent(Z,U))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,4]) ).

cnf(11,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(Y,Z),X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,yql]) ).

cnf(16,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,11,prove_ec_2]) ).

cnf(226,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(Z,X),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).

cnf(260,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(Y,Z)),X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,226,226]) ).

cnf(262,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Y,equivalent(X,Z)),Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,226,4]) ).

cnf(318,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(X,Z))),equivalent(Y,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,262,4]) ).

cnf(539,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(X,equivalent(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,318,226]) ).

cnf(607,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,539,260,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 18:57:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T18:57:29
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-02T18:57:29
% 0.49/0.71  
% 0.49/0.71  
% 0.49/0.71  #||
% 0.49/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.71  % SZS output start Refutation
% See solution above
% 0.49/0.71  ||#
% 0.49/0.71  
% 0.49/0.71  ; Summary of computation:
% 0.49/0.71  ;      1808 formulas have been input or derived (from 42 formulas).
% 0.49/0.71  ;       607 (34%) were retained.  Of these,
% 0.49/0.71  ;            8 ( 1%) were simplified or subsumed later,
% 0.49/0.71  ;          599 (99%) are still being kept.
% 0.49/0.71  ; 
% 0.49/0.71  ; Run time in seconds excluding printing time:
% 0.49/0.71  ;     0.001   0%   Read assertion file          (1 call)
% 0.49/0.71  ;     0.000   0%   Assert                       (3 calls)
% 0.49/0.71  ;     0.054  23%   Process new row              (1,544 calls)
% 0.49/0.71  ;     0.083  35%   Resolution                   (82 calls)
% 0.49/0.71  ;     0.007   3%   Paramodulation               (41 calls)
% 0.49/0.71  ;     0.000   0%   Condensing                   (1 call)
% 0.49/0.71  ;     0.000   0%   Forward subsumption          (1 call)
% 0.49/0.71  ;     0.000   0%   Backward subsumption         (1 call)
% 0.49/0.71  ;     0.035  15%   Forward simplification       (1,533 calls)
% 0.49/0.71  ;     0.020   9%   Backward simplification      (607 calls)
% 0.49/0.71  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.49/0.71  ;     0.000   0%   Purity testing               (1 call)
% 0.49/0.71  ;     0.034  15%   Other
% 0.49/0.71  ;     0.234        Total
% 0.49/0.71  ;     0.236        Real time
% 0.49/0.71  ; 
% 0.49/0.71  ; Term-hash-array has 1,744 terms in all.
% 0.49/0.71  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.49/0.71  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.49/0.71  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.49/0.71  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.49/0.71  ; Path-index has 1,728 entries (1,728 at peak, 1,752 added, 24 deleted).
% 0.49/0.71  ; Path-index has 1,079 nodes (1,079 at peak, 1,079 added, 0 deleted).
% 0.49/0.71  ; Trie-index has 1,728 entries (1,728 at peak, 1,752 added, 24 deleted).
% 0.49/0.71  ; Trie-index has 5,377 nodes (5,377 at peak, 5,507 added, 130 deleted).
% 0.49/0.71  ; Retrieved 16,070 generalization terms in 1,531 calls.
% 0.49/0.71  ; Retrieved 4,825 instance terms in 605 calls.
% 0.49/0.71  ; Retrieved 82,945 unifiable terms in 1,351 calls.
% 0.49/0.71  ; 
% 0.49/0.71  ; The agenda of rows to process has 106 entries:
% 0.49/0.71  ;     1 with value 13             30 with value 24               1 with value 30
% 0.49/0.71  ;     1 with value 18              4 with value 25               1 with value 31
% 0.49/0.71  ;     6 with value 19              1 with value 26               6 with value 32
% 0.49/0.71  ;     6 with value 21              1 with value 27               1 with value 33
% 0.49/0.71  ;     4 with value 22             14 with value 28               2 with value 36
% 0.49/0.71  ;    20 with value 23              4 with value 29               3 with value 37
% 0.49/0.71  ; The agenda of rows to give has 560 entries:
% 0.49/0.71  ;    20 with value (4 23)         42 with value (4 29)          26 with value (4 35)
% 0.49/0.71  ;    17 with value (4 24)         18 with value (4 30)          63 with value (4 36)
% 0.49/0.71  ;     8 with value (4 25)         30 with value (4 31)          31 with value (4 37)
% 0.49/0.71  ;    25 with value (4 26)         60 with value (4 32)           4 with value (4 39)
% 0.49/0.71  ;    44 with value (4 27)         44 with value (4 33)           4 with value (4 40)
% 0.49/0.71  ;    96 with value (4 28)         28 with value (4 34)
% 0.49/0.71  Evaluation took:
% 0.49/0.71    0.236 seconds of real time
% 0.49/0.71    0.218331 seconds of user run time
% 0.49/0.71    0.018124 seconds of system run time
% 0.49/0.71    [Run times include 0.012 seconds GC run time.]
% 0.49/0.71    0 calls to %EVAL
% 0.49/0.71    0 page faults and
% 0.49/0.71    14,039,712 bytes consed.
% 0.49/0.71  :PROOF-FOUND
% 0.55/0.71  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T18:57:30
% 0.55/0.71  :PROOF-FOUND
% 0.55/0.71  * 
%------------------------------------------------------------------------------