TSTP Solution File: LCL041-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:19:44 EDT 2022

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :   10 (   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn)

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

cnf(cn_3,axiom,
    is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

cnf(cn_21,axiom,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).

cnf(cn_54,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).

cnf(prove_cn_30,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_30) ).

cnf(16,plain,
    is_a_theorem(implies(not(X),implies(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_21,cn_3]) ).

cnf(32,plain,
    is_a_theorem(implies(implies(not(X),Y),implies(implies(X,Y),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_54,cn_21]) ).

cnf(927,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,32,16,prove_cn_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : LCL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.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 : Sat Jul  2 18:44:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-02T18:44:10
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-02T18:44:10
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  #||
% 0.46/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.65  % SZS output start Refutation
% See solution above
% 0.46/0.65  ||#
% 0.46/0.65  
% 0.46/0.65  ; Summary of computation:
% 0.46/0.65  ;      1726 formulas have been input or derived (from 56 formulas).
% 0.46/0.65  ;       927 (54%) were retained.  Of these,
% 0.46/0.65  ;          927 (100%) are still being kept.
% 0.46/0.65  ; 
% 0.46/0.65  ; Run time in seconds excluding printing time:
% 0.46/0.65  ;     0.002   1%   Read assertion file          (1 call)
% 0.46/0.65  ;     0.000   0%   Assert                       (7 calls)
% 0.46/0.65  ;     0.079  42%   Process new row              (1,428 calls)
% 0.46/0.65  ;     0.033  18%   Resolution                   (110 calls)
% 0.46/0.65  ;     0.002   1%   Paramodulation               (55 calls)
% 0.46/0.65  ;     0.000   0%   Condensing                   (1 call)
% 0.46/0.65  ;     0.000   0%   Forward subsumption          (1 call)
% 0.46/0.65  ;     0.000   0%   Backward subsumption         (1 call)
% 0.46/0.65  ;     0.024  13%   Forward simplification       (1,428 calls)
% 0.46/0.65  ;     0.020  11%   Backward simplification      (927 calls)
% 0.46/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.65  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.65  ;     0.027  14%   Other
% 0.46/0.65  ;     0.187        Total
% 0.46/0.65  ;     0.190        Real time
% 0.46/0.65  ; 
% 0.46/0.65  ; Term-hash-array has 2,122 terms in all.
% 0.46/0.65  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.46/0.65  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.46/0.65  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.46/0.65  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.46/0.65  ; Path-index has 2,124 entries (2,124 at peak, 2,124 added, 0 deleted).
% 0.46/0.65  ; Path-index has 1,037 nodes (1,037 at peak, 1,037 added, 0 deleted).
% 0.46/0.65  ; Trie-index has 2,124 entries (2,124 at peak, 2,124 added, 0 deleted).
% 0.46/0.65  ; Trie-index has 5,486 nodes (5,486 at peak, 5,486 added, 0 deleted).
% 0.46/0.65  ; Retrieved 8,844 generalization terms in 1,425 calls.
% 0.46/0.65  ; Retrieved 2,467 instance terms in 925 calls.
% 0.46/0.65  ; Retrieved 49,433 unifiable terms in 1,075 calls.
% 0.46/0.65  ; 
% 0.46/0.65  ; The agenda of rows to process has 94 entries:
% 0.46/0.65  ;     1 with value 8               6 with value 16               1 with value 23
% 0.46/0.65  ;     1 with value 10              3 with value 17               8 with value 24
% 0.46/0.65  ;     1 with value 11              4 with value 18               4 with value 25
% 0.46/0.65  ;     4 with value 12              4 with value 19              13 with value 26
% 0.46/0.65  ;     4 with value 13              4 with value 20               6 with value 27
% 0.46/0.65  ;     3 with value 14              2 with value 21               9 with value 28
% 0.46/0.65  ;     3 with value 15             12 with value 22               1 with value 29
% 0.46/0.65  ; The agenda of rows to give has 871 entries:
% 0.46/0.65  ;    15 with value (4 16)         84 with value (4 22)          36 with value (4 28)
% 0.46/0.65  ;    23 with value (4 17)        116 with value (4 23)          26 with value (4 29)
% 0.46/0.65  ;    39 with value (4 18)        103 with value (4 24)           2 with value (4 30)
% 0.46/0.65  ;    48 with value (4 19)         98 with value (4 25)           1 with value (4 31)
% 0.46/0.65  ;    62 with value (4 20)         61 with value (4 26)           1 with value (4 32)
% 0.46/0.65  ;    83 with value (4 21)         73 with value (4 27)
% 0.46/0.65  Evaluation took:
% 0.46/0.65    0.19 seconds of real time
% 0.46/0.65    0.170772 seconds of user run time
% 0.46/0.65    0.018907 seconds of system run time
% 0.46/0.65    0 calls to %EVAL
% 0.46/0.65    0 page faults and
% 0.46/0.65    12,248,872 bytes consed.
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T18:44:10
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  * 
%------------------------------------------------------------------------------