TSTP Solution File: LCL357-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL357-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:22:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   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   :    9 (   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_06,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_06) ).

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(262,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,10,cn_1,prove_cn_06]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL357-1 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 04:42:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-03T04:42:38
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-03T04:42:38
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  #||
% 0.20/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56  % SZS output start Refutation
% See solution above
% 0.20/0.56  ||#
% 0.20/0.56  
% 0.20/0.56  ; Summary of computation:
% 0.20/0.56  ;       638 formulas have been input or derived (from 29 formulas).
% 0.20/0.56  ;       262 (41%) were retained.  Of these,
% 0.20/0.56  ;            1 ( 0%) were simplified or subsumed later,
% 0.20/0.56  ;          261 (100%) are still being kept.
% 0.20/0.56  ; 
% 0.20/0.56  ; Run time in seconds excluding printing time:
% 0.20/0.56  ;     0.001   1%   Read assertion file          (1 call)
% 0.20/0.56  ;     0.001   1%   Assert                       (5 calls)
% 0.20/0.56  ;     0.029  33%   Process new row              (511 calls)
% 0.20/0.56  ;     0.013  15%   Resolution                   (56 calls)
% 0.20/0.56  ;     0.002   2%   Paramodulation               (28 calls)
% 0.20/0.56  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.56  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.56  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.56  ;     0.009  10%   Forward simplification       (479 calls)
% 0.20/0.56  ;     0.010  11%   Backward simplification      (262 calls)
% 0.20/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.56  ;     0.024  27%   Other
% 0.20/0.56  ;     0.089        Total
% 0.20/0.56  ;     0.091        Real time
% 0.20/0.56  ; 
% 0.20/0.56  ; Term-hash-array has 762 terms in all.
% 0.20/0.56  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.56  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.56  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.56  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.56  ; Path-index has 763 entries (763 at peak, 766 added, 3 deleted).
% 0.20/0.56  ; Path-index has 2,442 nodes (2,442 at peak, 2,442 added, 0 deleted).
% 0.20/0.56  ; Trie-index has 763 entries (763 at peak, 766 added, 3 deleted).
% 0.20/0.56  ; Trie-index has 5,229 nodes (5,229 at peak, 5,233 added, 4 deleted).
% 0.20/0.56  ; Retrieved 1,066 generalization terms in 476 calls.
% 0.20/0.56  ; Retrieved 435 instance terms in 260 calls.
% 0.20/0.56  ; Retrieved 5,957 unifiable terms in 581 calls.
% 0.20/0.56  ; 
% 0.20/0.56  ; The agenda of rows to process has 46 entries:
% 0.20/0.56  ;     4 with value 17              2 with value 26               4 with value 34
% 0.20/0.56  ;     1 with value 19              1 with value 27               5 with value 36
% 0.20/0.56  ;     1 with value 22              4 with value 28               1 with value 37
% 0.20/0.56  ;     9 with value 23              4 with value 29               3 with value 39
% 0.20/0.56  ;     1 with value 24              1 with value 32               1 with value 40
% 0.20/0.56  ;     1 with value 25              2 with value 33               1 with value 49
% 0.20/0.56  ; The agenda of rows to give has 233 entries:
% 0.20/0.56  ;     8 with value (4 22)         13 with value (4 31)           3 with value (4 40)
% 0.20/0.56  ;    11 with value (4 23)         13 with value (4 32)           1 with value (4 41)
% 0.20/0.56  ;    13 with value (4 24)         11 with value (4 33)           1 with value (4 44)
% 0.20/0.56  ;    10 with value (4 25)         20 with value (4 34)           2 with value (4 47)
% 0.20/0.56  ;     2 with value (4 26)         12 with value (4 35)           1 with value (4 50)
% 0.20/0.56  ;    26 with value (4 27)          6 with value (4 36)           1 with value (4 53)
% 0.20/0.56  ;    15 with value (4 28)          5 with value (4 37)           1 with value (4 62)
% 0.20/0.56  ;    24 with value (4 29)          5 with value (4 38)           2 with value (4 65)
% 0.20/0.56  ;    22 with value (4 30)          4 with value (4 39)           1 with value (4 79)
% 0.20/0.56  Evaluation took:
% 0.20/0.56    0.092 seconds of real time
% 0.20/0.56    0.086547 seconds of user run time
% 0.20/0.56    0.004943 seconds of system run time
% 0.20/0.56    0 calls to %EVAL
% 0.20/0.56    0 page faults and
% 0.20/0.56    5,334,768 bytes consed.
% 0.20/0.56  :PROOF-FOUND
% 0.20/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:42:38
% 0.20/0.56  :PROOF-FOUND
% 0.20/0.56  * 
%------------------------------------------------------------------------------