TSTP Solution File: LCL076-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL076-1 : 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 14:20:00 EDT 2022

% Result   : Unsatisfiable 0.63s 0.85s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (  14 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (   0 equ;   6 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    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   23 (   5 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_18,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).

cnf(cn_49,axiom,
    is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).

cnf(prove_cn_40,negated_conjecture,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).

cnf(9,plain,
    ~ is_a_theorem(implies(not(not(not(a))),not(a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_49,prove_cn_40]) ).

cnf(10,plain,
    is_a_theorem(implies(X,implies(implies(not(Y),not(Z)),implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_49,cn_18]) ).

cnf(12,plain,
    is_a_theorem(implies(implies(X,Y),implies(X,X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_35,cn_18]) ).

cnf(20,plain,
    is_a_theorem(implies(X,X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_18]) ).

cnf(37,plain,
    ~ is_a_theorem(implies(implies(X,X),implies(not(not(not(a))),not(a)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9,20]) ).

cnf(193,plain,
    is_a_theorem(implies(implies(X,implies(not(Y),not(Z))),implies(X,implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,cn_35]) ).

cnf(998,plain,
    ~ is_a_theorem(implies(not(not(not(a))),implies(not(not(not(a))),not(a)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,37,cn_35]) ).

cnf(1474,plain,
    is_a_theorem(implies(not(X),implies(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,193,cn_18]) ).

cnf(1544,plain,
    is_a_theorem(implies(not(not(X)),implies(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1474,193]) ).

cnf(1545,plain,
    $false,
    inference('REWRITE',[status(thm)],[998,1544]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL076-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % 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 : Sun Jul  3 15:26:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T15:26:13
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-03T15:26:13
% 0.63/0.85  
% 0.63/0.85  
% 0.63/0.85  #||
% 0.63/0.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.85  % SZS output start Refutation
% See solution above
% 0.63/0.86  ||#
% 0.63/0.86  
% 0.63/0.86  ; Summary of computation:
% 0.63/0.86  ;      3038 formulas have been input or derived (from 83 formulas).
% 0.63/0.86  ;      1545 (51%) were retained.  Of these,
% 0.63/0.86  ;            5 ( 0%) were simplified or subsumed later,
% 0.63/0.86  ;         1540 (100%) are still being kept.
% 0.63/0.86  ; 
% 0.63/0.86  ; Run time in seconds excluding printing time:
% 0.63/0.86  ;     0.001   0%   Read assertion file          (1 call)
% 0.63/0.86  ;     0.000   0%   Assert                       (5 calls)
% 0.63/0.86  ;     0.157  39%   Process new row              (2,538 calls)
% 0.63/0.86  ;     0.089  22%   Resolution                   (164 calls)
% 0.63/0.86  ;     0.007   2%   Paramodulation               (82 calls)
% 0.63/0.86  ;     0.000   0%   Condensing                   (1 call)
% 0.63/0.86  ;     0.000   0%   Forward subsumption          (1 call)
% 0.63/0.86  ;     0.000   0%   Backward subsumption         (1 call)
% 0.63/0.86  ;     0.060  15%   Forward simplification       (2,537 calls)
% 0.63/0.86  ;     0.046  12%   Backward simplification      (1,545 calls)
% 0.63/0.86  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.63/0.86  ;     0.000   0%   Purity testing               (1 call)
% 0.63/0.86  ;     0.040  10%   Other
% 0.63/0.86  ;     0.400        Total
% 0.63/0.86  ;     0.401        Real time
% 0.63/0.86  ; 
% 0.63/0.86  ; Term-hash-array has 3,623 terms in all.
% 0.63/0.86  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.63/0.86  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.63/0.86  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.63/0.86  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.63/0.86  ; Path-index has 3,613 entries (3,615 at peak, 3,624 added, 11 deleted).
% 0.63/0.86  ; Path-index has 860 nodes (860 at peak, 860 added, 0 deleted).
% 0.63/0.86  ; Trie-index has 3,613 entries (3,615 at peak, 3,624 added, 11 deleted).
% 0.63/0.86  ; Trie-index has 8,035 nodes (8,049 at peak, 8,083 added, 48 deleted).
% 0.63/0.86  ; Retrieved 28,087 generalization terms in 2,534 calls.
% 0.63/0.86  ; Retrieved 4,694 instance terms in 1,543 calls.
% 0.63/0.86  ; Retrieved 139,819 unifiable terms in 1,815 calls.
% 0.63/0.86  ; 
% 0.63/0.86  ; The agenda of rows to process has 94 entries:
% 0.63/0.86  ;     7 with value 16              4 with value 22               3 with value 27
% 0.63/0.86  ;     6 with value 17              1 with value 23               7 with value 28
% 0.63/0.86  ;    16 with value 18              6 with value 24               9 with value 29
% 0.63/0.86  ;     2 with value 19              2 with value 25              15 with value 30
% 0.63/0.86  ;     9 with value 20              5 with value 26               2 with value 31
% 0.63/0.86  ; The agenda of rows to give has 1458 entries:
% 0.63/0.86  ;     1 with value (4 16)         61 with value (4 26)         165 with value (4 33)
% 0.63/0.86  ;     1 with value (4 20)         96 with value (4 27)         132 with value (4 34)
% 0.63/0.86  ;     7 with value (4 21)         76 with value (4 28)         114 with value (4 35)
% 0.63/0.86  ;    25 with value (4 22)        121 with value (4 29)          55 with value (4 36)
% 0.63/0.86  ;    35 with value (4 23)        110 with value (4 30)          45 with value (4 37)
% 0.63/0.86  ;    53 with value (4 24)        148 with value (4 31)           6 with value (4 38)
% 0.63/0.86  ;    72 with value (4 25)        135 with value (4 32)
% 0.63/0.86  Evaluation took:
% 0.63/0.86    0.401 seconds of real time
% 0.63/0.86    0.364201 seconds of user run time
% 0.63/0.86    0.036748 seconds of system run time
% 0.63/0.86    [Run times include 0.022 seconds GC run time.]
% 0.63/0.86    0 calls to %EVAL
% 0.63/0.86    0 page faults and
% 0.63/0.86    26,609,440 bytes consed.
% 0.63/0.86  :PROOF-FOUND
% 0.63/0.86  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T15:26:13
% 0.63/0.86  :PROOF-FOUND
% 0.63/0.86  * 
%------------------------------------------------------------------------------