TSTP Solution File: LCL043-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 0.42s 0.59s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   3 RR)
%            Number of literals    :    9 (   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    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   2 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_3,axiom,
    is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

cnf(cn_18,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

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

cnf(prove_cn_39,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).

cnf(30,plain,
    is_a_theorem(implies(implies(not(X),implies(Y,X)),implies(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_54,cn_18]) ).

cnf(514,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,30,cn_3,prove_cn_39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 : Tue Jul  5 00:20:12 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  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T00:20:12
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-05T00:20:12
% 0.42/0.59  
% 0.42/0.59  
% 0.42/0.59  #||
% 0.42/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59  % SZS output start Refutation
% See solution above
% 0.42/0.59  ||#
% 0.42/0.59  
% 0.42/0.59  ; Summary of computation:
% 0.42/0.59  ;      1121 formulas have been input or derived (from 41 formulas).
% 0.42/0.59  ;       514 (46%) were retained.  Of these,
% 0.42/0.60  ;          514 (100%) are still being kept.
% 0.42/0.60  ; 
% 0.42/0.60  ; Run time in seconds:
% 0.42/0.60  ;     0.002   2%   Read assertion file          (1 call)
% 0.42/0.60  ;     0.000   0%   Assert                       (7 calls)
% 0.42/0.60  ;     0.058  44%   Process new row              (871 calls)
% 0.42/0.60  ;     0.023  17%   Resolution                   (80 calls)
% 0.42/0.60  ;     0.000   0%   Paramodulation               (40 calls)
% 0.42/0.60  ;     0.000   0%   Condensing                   (1 call)
% 0.42/0.60  ;     0.000   0%   Forward subsumption          (1 call)
% 0.42/0.60  ;     0.000   0%   Backward subsumption         (1 call)
% 0.42/0.60  ;     0.013  10%   Forward simplification       (871 calls)
% 0.42/0.60  ;     0.013  10%   Backward simplification      (514 calls)
% 0.42/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.60  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.60  ;     0.023  17%   Other
% 0.42/0.60  ;     0.132        Total
% 0.42/0.60  ;     0.133        Real time
% 0.42/0.60  ; 
% 0.42/0.60  ; Term-hash-array has 1,263 terms in all.
% 0.42/0.60  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.42/0.60  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.42/0.60  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.42/0.60  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.42/0.60  ; Path-index has 1,264 entries (1,264 at peak, 1,264 added, 0 deleted).
% 0.42/0.60  ; Path-index has 720 nodes (720 at peak, 720 added, 0 deleted).
% 0.42/0.60  ; Trie-index has 1,264 entries (1,264 at peak, 1,264 added, 0 deleted).
% 0.42/0.60  ; Trie-index has 3,112 nodes (3,112 at peak, 3,112 added, 0 deleted).
% 0.42/0.60  ; Retrieved 5,225 generalization terms in 868 calls.
% 0.42/0.60  ; Retrieved 1,374 instance terms in 512 calls.
% 0.42/0.60  ; Retrieved 26,039 unifiable terms in 776 calls.
% 0.42/0.60  ; 
% 0.42/0.60  ; The agenda of rows to process has 68 entries:
% 0.42/0.60  ;     4 with value 8               1 with value 16               4 with value 22
% 0.42/0.60  ;     1 with value 11              2 with value 17               6 with value 24
% 0.42/0.60  ;     4 with value 12              5 with value 18               1 with value 25
% 0.42/0.60  ;    10 with value 13              5 with value 19               5 with value 26
% 0.42/0.60  ;     1 with value 14              4 with value 20               5 with value 27
% 0.42/0.60  ;     1 with value 15              4 with value 21               5 with value 28
% 0.42/0.60  ; The agenda of rows to give has 473 entries:
% 0.42/0.60  ;     7 with value (4 16)         47 with value (4 21)          34 with value (4 26)
% 0.42/0.60  ;    10 with value (4 17)         48 with value (4 22)          34 with value (4 27)
% 0.42/0.60  ;    18 with value (4 18)         62 with value (4 23)          15 with value (4 28)
% 0.42/0.60  ;    28 with value (4 19)         56 with value (4 24)          18 with value (4 29)
% 0.42/0.60  ;    38 with value (4 20)         58 with value (4 25)
% 0.42/0.60  Evaluation took:
% 0.42/0.60    0.133 seconds of real time
% 0.42/0.60    0.117552 seconds of user run time
% 0.42/0.60    0.015099 seconds of system run time
% 0.42/0.60    0 calls to %EVAL
% 0.42/0.60    0 page faults and
% 0.42/0.60    7,639,448 bytes consed.
% 0.42/0.60  :PROOF-FOUND
% 0.42/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T00:20:12
% 0.42/0.60  :PROOF-FOUND
% 0.42/0.60  * 
%------------------------------------------------------------------------------