TSTP Solution File: LCL359-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL359-1 : TPTP v8.1.0. Released v2.3.0.
% 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 14:22:21 EDT 2022

% Result   : Unsatisfiable 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   0 equ;   3 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0 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(prove_cn_08,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_08) ).

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

cnf(1347,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,263,10,prove_cn_08]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL359-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n013.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 : Sun Jul  3 04:24:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 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  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:24:29
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-03T04:24:29
% 0.60/0.80  
% 0.60/0.80  
% 0.60/0.80  #||
% 0.60/0.80  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80  % SZS output start Refutation
% See solution above
% 0.60/0.80  ||#
% 0.60/0.80  
% 0.60/0.80  ; Summary of computation:
% 0.60/0.80  ;      2927 formulas have been input or derived (from 68 formulas).
% 0.60/0.80  ;      1347 (46%) were retained.  Of these,
% 0.60/0.80  ;           34 ( 3%) were simplified or subsumed later,
% 0.60/0.80  ;         1313 (97%) are still being kept.
% 0.60/0.80  ; 
% 0.60/0.80  ; Run time in seconds:
% 0.60/0.80  ;     0.001   0%   Read assertion file          (1 call)
% 0.60/0.80  ;     0.000   0%   Assert                       (5 calls)
% 0.60/0.80  ;     0.167  50%   Process new row              (2,351 calls)
% 0.60/0.80  ;     0.065  20%   Resolution                   (134 calls)
% 0.60/0.80  ;     0.009   3%   Paramodulation               (67 calls)
% 0.60/0.80  ;     0.000   0%   Condensing                   (1 call)
% 0.60/0.80  ;     0.000   0%   Forward subsumption          (1 call)
% 0.60/0.80  ;     0.000   0%   Backward subsumption         (1 call)
% 0.60/0.80  ;     0.026   8%   Forward simplification       (2,317 calls)
% 0.60/0.80  ;     0.025   8%   Backward simplification      (1,347 calls)
% 0.60/0.80  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.60/0.80  ;     0.000   0%   Purity testing               (1 call)
% 0.60/0.80  ;     0.036  11%   Other
% 0.60/0.80  ;     0.331        Total
% 0.60/0.80  ;     0.332        Real time
% 0.60/0.80  ; 
% 0.60/0.80  ; Term-hash-array has 3,491 terms in all.
% 0.60/0.80  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.60/0.80  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.60/0.80  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.60/0.80  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.60/0.80  ; Path-index has 3,369 entries (3,369 at peak, 3,513 added, 144 deleted).
% 0.60/0.80  ; Path-index has 5,615 nodes (5,615 at peak, 5,615 added, 0 deleted).
% 0.60/0.80  ; Trie-index has 3,369 entries (3,369 at peak, 3,513 added, 144 deleted).
% 0.60/0.80  ; Trie-index has 24,254 nodes (24,254 at peak, 24,777 added, 523 deleted).
% 0.60/0.80  ; Retrieved 9,076 generalization terms in 2,314 calls.
% 0.60/0.80  ; Retrieved 1,858 instance terms in 1,345 calls.
% 0.60/0.80  ; Retrieved 62,279 unifiable terms in 1,843 calls.
% 0.60/0.80  ; 
% 0.60/0.80  ; The agenda of rows to process has 129 entries:
% 0.60/0.80  ;     1 with value 17              6 with value 26               1 with value 35
% 0.60/0.80  ;     1 with value 18             12 with value 27               1 with value 36
% 0.60/0.80  ;     1 with value 19             18 with value 28               2 with value 37
% 0.60/0.80  ;     4 with value 20             14 with value 29               3 with value 38
% 0.60/0.80  ;     1 with value 21              1 with value 30               9 with value 39
% 0.60/0.80  ;     4 with value 22             12 with value 31               5 with value 40
% 0.60/0.80  ;     8 with value 23              5 with value 32               1 with value 41
% 0.60/0.80  ;    12 with value 24              4 with value 33               1 with value 49
% 0.60/0.80  ;     1 with value 25              1 with value 34
% 0.60/0.80  ; The agenda of rows to give has 1247 entries:
% 0.60/0.80  ;    14 with value (4 23)         97 with value (4 36)           3 with value (4 49)
% 0.60/0.80  ;    17 with value (4 24)        111 with value (4 37)           1 with value (4 50)
% 0.60/0.80  ;    17 with value (4 25)        118 with value (4 38)           1 with value (4 51)
% 0.60/0.80  ;    14 with value (4 26)         50 with value (4 39)           2 with value (4 53)
% 0.60/0.80  ;    54 with value (4 27)         60 with value (4 40)           1 with value (4 61)
% 0.60/0.80  ;    58 with value (4 28)         13 with value (4 41)           3 with value (4 62)
% 0.60/0.80  ;    47 with value (4 29)          6 with value (4 42)           6 with value (4 65)
% 0.60/0.80  ;    70 with value (4 30)          6 with value (4 43)           3 with value (4 66)
% 0.60/0.80  ;    48 with value (4 31)          5 with value (4 44)           1 with value (4 67)
% 0.60/0.80  ;    69 with value (4 32)          3 with value (4 45)           1 with value (4 68)
% 0.60/0.80  ;   119 with value (4 33)          6 with value (4 46)           1 with value (4 69)
% 0.60/0.80  ;   106 with value (4 34)          5 with value (4 47)           1 with value (4 79)
% 0.60/0.80  ;   107 with value (4 35)          3 with value (4 48)
% 0.60/0.80  Evaluation took:
% 0.60/0.80    0.333 seconds of real time
% 0.60/0.80    0.309449 seconds of user run time
% 0.60/0.80    0.023059 seconds of system run time
% 0.60/0.80    [Run times include 0.015 seconds GC run time.]
% 0.60/0.80    0 calls to %EVAL
% 0.60/0.80    0 page faults and
% 0.60/0.80    23,515,512 bytes consed.
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:24:30
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  * 
%------------------------------------------------------------------------------