TSTP Solution File: LCL066-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 14:19:57 EDT 2022

% Result   : Unsatisfiable 1.00s 1.15s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   14 (   0 equ;   7 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   :   19 (   5 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_18,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cn_35) ).

cnf(cn_49,axiom,
    is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).

cnf(prove_cn_3,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_3) ).

cnf(8,plain,
    ~ is_a_theorem(implies(implies(X,implies(Y,X)),implies(a,implies(not(a),b)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_18,prove_cn_3]) ).

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(351,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(529,plain,
    ~ is_a_theorem(implies(a,implies(implies(X,a),implies(not(a),b)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_35]) ).

cnf(542,plain,
    ~ is_a_theorem(implies(implies(X,a),implies(not(a),b))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,529,cn_18]) ).

cnf(555,plain,
    ~ is_a_theorem(implies(not(a),implies(a,b))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,542,cn_35]) ).

cnf(3118,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,351,cn_18,555]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 13:55:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-02T13:55:23
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-02T13:55:23
% 1.00/1.15  
% 1.00/1.15  
% 1.00/1.15  #||
% 1.00/1.15  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.15  % SZS output start Refutation
% See solution above
% 1.00/1.17  ||#
% 1.00/1.17  
% 1.00/1.17  ; Summary of computation:
% 1.00/1.17  ;      5152 formulas have been input or derived (from 147 formulas).
% 1.00/1.17  ;      3118 (61%) were retained.  Of these,
% 1.00/1.17  ;            5 ( 0%) were simplified or subsumed later,
% 1.00/1.17  ;         3113 (100%) are still being kept.
% 1.00/1.17  ; 
% 1.00/1.17  ; Run time in seconds excluding printing time:
% 1.00/1.17  ;     0.001   0%   Read assertion file          (1 call)
% 1.00/1.17  ;     0.000   0%   Assert                       (5 calls)
% 1.00/1.17  ;     0.274  40%   Process new row              (4,489 calls)
% 1.00/1.17  ;     0.154  22%   Resolution                   (292 calls)
% 1.00/1.17  ;     0.011   2%   Paramodulation               (146 calls)
% 1.00/1.17  ;     0.000   0%   Condensing                   (1 call)
% 1.00/1.17  ;     0.000   0%   Forward subsumption          (1 call)
% 1.00/1.17  ;     0.000   0%   Backward subsumption         (1 call)
% 1.00/1.17  ;     0.124  18%   Forward simplification       (4,487 calls)
% 1.00/1.17  ;     0.084  12%   Backward simplification      (3,118 calls)
% 1.00/1.17  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.00/1.17  ;     0.000   0%   Purity testing               (1 call)
% 1.00/1.17  ;     0.039   6%   Other
% 1.00/1.17  ;     0.687        Total
% 1.00/1.17  ;     0.700        Real time
% 1.00/1.17  ; 
% 1.00/1.17  ; Term-hash-array has 6,954 terms in all.
% 1.00/1.17  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 1.00/1.17  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 1.00/1.17  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 1.00/1.17  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 1.00/1.17  ; Path-index has 6,945 entries (6,945 at peak, 6,956 added, 11 deleted).
% 1.00/1.17  ; Path-index has 977 nodes (977 at peak, 977 added, 0 deleted).
% 1.00/1.17  ; Trie-index has 6,945 entries (6,945 at peak, 6,956 added, 11 deleted).
% 1.00/1.17  ; Trie-index has 12,281 nodes (12,281 at peak, 12,319 added, 38 deleted).
% 1.00/1.17  ; Retrieved 57,145 generalization terms in 4,484 calls.
% 1.00/1.17  ; Retrieved 9,166 instance terms in 3,116 calls.
% 1.00/1.17  ; Retrieved 361,693 unifiable terms in 2,889 calls.
% 1.00/1.17  ; 
% 1.00/1.17  ; The agenda of rows to process has 215 entries:
% 1.00/1.17  ;     1 with value 10              7 with value 21               3 with value 30
% 1.00/1.17  ;     1 with value 12              7 with value 22               6 with value 31
% 1.00/1.17  ;     4 with value 13             12 with value 23               7 with value 32
% 1.00/1.17  ;     1 with value 14             15 with value 24              14 with value 33
% 1.00/1.17  ;     6 with value 15             10 with value 25              13 with value 34
% 1.00/1.17  ;     7 with value 17              2 with value 26              18 with value 35
% 1.00/1.17  ;     8 with value 18              1 with value 27              27 with value 36
% 1.00/1.17  ;     3 with value 19              5 with value 28              22 with value 37
% 1.00/1.17  ;     5 with value 20              3 with value 29               7 with value 38
% 1.00/1.17  ; The agenda of rows to give has 2967 entries:
% 1.00/1.17  ;     8 with value (4 21)        158 with value (4 27)         327 with value (4 33)
% 1.00/1.17  ;    52 with value (4 22)        199 with value (4 28)         256 with value (4 34)
% 1.00/1.17  ;    74 with value (4 23)        258 with value (4 29)         194 with value (4 35)
% 1.00/1.17  ;    99 with value (4 24)        274 with value (4 30)          66 with value (4 36)
% 1.00/1.17  ;   123 with value (4 25)        322 with value (4 31)          48 with value (4 37)
% 1.00/1.17  ;   147 with value (4 26)        362 with value (4 32)
% 1.00/1.17  Evaluation took:
% 1.00/1.17    0.701 seconds of real time
% 1.00/1.17    0.659629 seconds of user run time
% 1.00/1.17    0.040918 seconds of system run time
% 1.00/1.17    [Run times include 0.05 seconds GC run time.]
% 1.00/1.17    0 calls to %EVAL
% 1.00/1.17    0 page faults and
% 1.00/1.17    50,625,344 bytes consed.
% 1.00/1.17  :PROOF-FOUND
% 1.00/1.17  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T13:55:24
% 1.00/1.17  :PROOF-FOUND
% 1.00/1.17  * 
%------------------------------------------------------------------------------