TSTP Solution File: LCL362-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL362-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 14:22:23 EDT 2022

% Result   : Unsatisfiable 0.76s 0.96s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (  15 unt;   0 nHn;   3 RR)
%            Number of literals    :   18 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (   7 sgn)

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

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X),X),X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

cnf(prove_cn_11,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_11) ).

cnf(8,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(not(X),X),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_2]) ).

cnf(9,plain,
    is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).

cnf(10,plain,
    is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_1]) ).

cnf(39,plain,
    is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).

cnf(53,plain,
    is_a_theorem(implies(X,X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,cn_2]) ).

cnf(64,plain,
    is_a_theorem(implies(not(implies(X,X)),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,53,cn_3]) ).

cnf(69,plain,
    is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,cn_1]) ).

cnf(154,plain,
    is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,69,9]) ).

cnf(691,plain,
    is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,10]) ).

cnf(1630,plain,
    is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,691,154]) ).

cnf(1755,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,1630,8,prove_cn_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL362-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 17:46:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T17:46:45
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-04T17:46:45
% 0.76/0.96  
% 0.76/0.96  
% 0.76/0.96  #||
% 0.76/0.96  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.96  % SZS output start Refutation
% See solution above
% 0.76/0.96  ||#
% 0.76/0.96  
% 0.76/0.96  ; Summary of computation:
% 0.76/0.96  ;      4133 formulas have been input or derived (from 76 formulas).
% 0.76/0.96  ;      1755 (42%) were retained.  Of these,
% 0.76/0.96  ;           48 ( 3%) were simplified or subsumed later,
% 0.76/0.96  ;         1707 (97%) are still being kept.
% 0.76/0.96  ; 
% 0.76/0.96  ; Run time in seconds excluding printing time:
% 0.76/0.96  ;     0.001   0%   Read assertion file          (1 call)
% 0.76/0.96  ;     0.000   0%   Assert                       (5 calls)
% 0.76/0.96  ;     0.231  47%   Process new row              (3,474 calls)
% 0.76/0.96  ;     0.119  24%   Resolution                   (150 calls)
% 0.76/0.96  ;     0.014   3%   Paramodulation               (75 calls)
% 0.76/0.96  ;     0.000   0%   Condensing                   (1 call)
% 0.76/0.96  ;     0.000   0%   Forward subsumption          (1 call)
% 0.76/0.96  ;     0.000   0%   Backward subsumption         (1 call)
% 0.76/0.96  ;     0.054  11%   Forward simplification       (3,440 calls)
% 0.76/0.96  ;     0.033   7%   Backward simplification      (1,755 calls)
% 0.76/0.96  ;     0.002   0%   Sortal reasoning             (32 calls)
% 0.76/0.96  ;     0.000   0%   Purity testing               (1 call)
% 0.76/0.96  ;     0.040   8%   Other
% 0.76/0.96  ;     0.494        Total
% 0.76/0.96  ;     0.497        Real time
% 0.76/0.96  ; 
% 0.76/0.96  ; Term-hash-array has 4,856 terms in all.
% 0.76/0.96  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.76/0.96  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.76/0.96  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.76/0.96  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.76/0.96  ; Path-index has 4,722 entries (4,722 at peak, 4,897 added, 175 deleted).
% 0.76/0.96  ; Path-index has 7,264 nodes (7,264 at peak, 7,264 added, 0 deleted).
% 0.76/0.96  ; Trie-index has 4,722 entries (4,722 at peak, 4,897 added, 175 deleted).
% 0.76/0.96  ; Trie-index has 31,982 nodes (31,982 at peak, 32,619 added, 637 deleted).
% 0.76/0.96  ; Retrieved 11,505 generalization terms in 3,437 calls.
% 0.76/0.96  ; Retrieved 2,908 instance terms in 1,753 calls.
% 0.76/0.96  ; Retrieved 114,680 unifiable terms in 2,508 calls.
% 0.76/0.96  ; 
% 0.76/0.96  ; The agenda of rows to process has 121 entries:
% 0.76/0.96  ;     1 with value 16             12 with value 24              10 with value 31
% 0.76/0.96  ;     1 with value 18              6 with value 25               5 with value 34
% 0.76/0.96  ;     4 with value 19             30 with value 26               4 with value 35
% 0.76/0.96  ;     4 with value 20              2 with value 27               7 with value 36
% 0.76/0.96  ;    18 with value 21              8 with value 29               3 with value 40
% 0.76/0.96  ;     5 with value 23              1 with value 30
% 0.76/0.96  ; The agenda of rows to give has 1633 entries:
% 0.76/0.96  ;     1 with value (4 22)        101 with value (4 35)           8 with value (4 47)
% 0.76/0.96  ;    10 with value (4 23)        120 with value (4 36)           6 with value (4 48)
% 0.76/0.96  ;    25 with value (4 24)        151 with value (4 37)           5 with value (4 49)
% 0.76/0.96  ;    19 with value (4 25)        171 with value (4 38)           2 with value (4 50)
% 0.76/0.96  ;    14 with value (4 26)         86 with value (4 39)           1 with value (4 53)
% 0.76/0.96  ;    56 with value (4 27)         51 with value (4 40)           1 with value (4 59)
% 0.76/0.96  ;    83 with value (4 28)         23 with value (4 41)           1 with value (4 61)
% 0.76/0.96  ;    92 with value (4 29)         16 with value (4 42)           3 with value (4 62)
% 0.76/0.96  ;    85 with value (4 30)          7 with value (4 43)           5 with value (4 65)
% 0.76/0.96  ;    52 with value (4 31)          5 with value (4 44)           3 with value (4 66)
% 0.76/0.96  ;    83 with value (4 32)          5 with value (4 45)           1 with value (4 67)
% 0.76/0.96  ;   170 with value (4 33)          7 with value (4 46)           1 with value (4 80)
% 0.76/0.96  ;   163 with value (4 34)
% 0.76/0.96  Evaluation took:
% 0.76/0.96    0.497 seconds of real time
% 0.76/0.96    0.459985 seconds of user run time
% 0.76/0.96    0.035983 seconds of system run time
% 0.76/0.96    [Run times include 0.03 seconds GC run time.]
% 0.76/0.96    0 calls to %EVAL
% 0.76/0.96    0 page faults and
% 0.76/0.96    32,567,288 bytes consed.
% 0.76/0.96  :PROOF-FOUND
% 0.76/0.96  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T17:46:45
% 0.76/0.96  :PROOF-FOUND
% 0.76/0.96  * 
%------------------------------------------------------------------------------