TSTP Solution File: LCL358-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL358-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:22:21 EDT 2022

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% 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    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   0 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_1,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

cnf(prove_cn_07,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_07) ).

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(263,plain,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,10]) ).

cnf(264,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Z),U),implies(implies(Y,Z),U)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,cn_1]) ).

cnf(1125,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,263,prove_cn_07]),264]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL358-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 22:01:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T22:01:41
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-03T22:01:41
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  #||
% 0.60/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.79  % SZS output start Refutation
% See solution above
% 0.60/0.79  ||#
% 0.60/0.79  
% 0.60/0.79  ; Summary of computation:
% 0.60/0.79  ;      2624 formulas have been input or derived (from 63 formulas).
% 0.60/0.79  ;      1125 (43%) were retained.  Of these,
% 0.60/0.79  ;           34 ( 3%) were simplified or subsumed later,
% 0.60/0.79  ;         1091 (97%) are still being kept.
% 0.60/0.79  ; 
% 0.60/0.79  ; Run time in seconds excluding printing time:
% 0.60/0.79  ;     0.002   1%   Read assertion file          (1 call)
% 0.60/0.79  ;     0.000   0%   Assert                       (5 calls)
% 0.60/0.79  ;     0.139  48%   Process new row              (2,100 calls)
% 0.60/0.79  ;     0.052  18%   Resolution                   (124 calls)
% 0.60/0.79  ;     0.008   3%   Paramodulation               (62 calls)
% 0.60/0.79  ;     0.000   0%   Condensing                   (1 call)
% 0.60/0.79  ;     0.000   0%   Forward subsumption          (1 call)
% 0.60/0.79  ;     0.000   0%   Backward subsumption         (1 call)
% 0.60/0.79  ;     0.034  12%   Forward simplification       (2,066 calls)
% 0.60/0.79  ;     0.018   6%   Backward simplification      (1,125 calls)
% 0.60/0.79  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.79  ;     0.000   0%   Purity testing               (1 call)
% 0.60/0.79  ;     0.039  13%   Other
% 0.60/0.79  ;     0.292        Total
% 0.60/0.79  ;     0.293        Real time
% 0.60/0.79  ; 
% 0.60/0.79  ; Term-hash-array has 2,988 terms in all.
% 0.60/0.79  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.60/0.79  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.60/0.79  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.60/0.79  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.60/0.79  ; Path-index has 2,867 entries (2,867 at peak, 3,011 added, 144 deleted).
% 0.60/0.79  ; Path-index has 5,558 nodes (5,558 at peak, 5,558 added, 0 deleted).
% 0.60/0.79  ; Trie-index has 2,867 entries (2,867 at peak, 3,011 added, 144 deleted).
% 0.60/0.79  ; Trie-index has 21,362 nodes (21,362 at peak, 21,893 added, 531 deleted).
% 0.60/0.79  ; Retrieved 7,392 generalization terms in 2,064 calls.
% 0.60/0.79  ; Retrieved 1,442 instance terms in 1,123 calls.
% 0.60/0.79  ; Retrieved 50,215 unifiable terms in 1,728 calls.
% 0.60/0.79  ; 
% 0.60/0.79  ; The agenda of rows to process has 98 entries:
% 0.60/0.79  ;     6 with value 24              1 with value 30               1 with value 37
% 0.60/0.79  ;     1 with value 25             12 with value 31               3 with value 38
% 0.60/0.79  ;     6 with value 26              5 with value 32               7 with value 39
% 0.60/0.79  ;    12 with value 27              4 with value 33               4 with value 40
% 0.60/0.79  ;    18 with value 28              1 with value 34               1 with value 46
% 0.60/0.79  ;    14 with value 29              1 with value 36               1 with value 49
% 0.60/0.79  ; The agenda of rows to give has 1030 entries:
% 0.60/0.79  ;    14 with value (4 23)         87 with value (4 36)           3 with value (4 48)
% 0.60/0.79  ;    19 with value (4 24)         83 with value (4 37)           2 with value (4 49)
% 0.60/0.79  ;    14 with value (4 25)        100 with value (4 38)           2 with value (4 50)
% 0.60/0.79  ;    15 with value (4 26)         37 with value (4 39)           1 with value (4 53)
% 0.60/0.79  ;    40 with value (4 27)         39 with value (4 40)           1 with value (4 58)
% 0.60/0.79  ;    55 with value (4 28)          6 with value (4 41)           1 with value (4 61)
% 0.60/0.79  ;    43 with value (4 29)          6 with value (4 42)           3 with value (4 62)
% 0.60/0.79  ;    46 with value (4 30)          6 with value (4 43)           4 with value (4 65)
% 0.60/0.79  ;    44 with value (4 31)         14 with value (4 44)           3 with value (4 66)
% 0.60/0.79  ;    60 with value (4 32)         15 with value (4 45)           1 with value (4 67)
% 0.60/0.79  ;   101 with value (4 33)          7 with value (4 46)           1 with value (4 69)
% 0.60/0.79  ;    86 with value (4 34)          5 with value (4 47)           1 with value (4 96)
% 0.60/0.79  ;    65 with value (4 35)
% 0.60/0.79  Evaluation took:
% 0.60/0.79    0.294 seconds of real time
% 0.60/0.79    0.265806 seconds of user run time
% 0.60/0.79    0.027997 seconds of system run time
% 0.60/0.79    [Run times include 0.017 seconds GC run time.]
% 0.60/0.79    0 calls to %EVAL
% 0.60/0.79    0 page faults and
% 0.60/0.79    20,403,240 bytes consed.
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T22:01:41
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  * 
%------------------------------------------------------------------------------