TSTP Solution File: LCL361-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:22:22 EDT 2022

% Result   : Unsatisfiable 0.65s 0.82s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% 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    :    6 (   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   :   18 (   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_1,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

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

cnf(prove_cn_10,negated_conjecture,
    ~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_10) ).

cnf(9,plain,
    is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).

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(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(1352,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,264,9,prove_cn_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sun Jul  3 19:28:36 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T19:28:36
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-03T19:28:36
% 0.65/0.82  
% 0.65/0.82  
% 0.65/0.82  #||
% 0.65/0.82  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.82  % SZS output start Refutation
% See solution above
% 0.65/0.82  ||#
% 0.65/0.82  
% 0.65/0.82  ; Summary of computation:
% 0.65/0.82  ;      3007 formulas have been input or derived (from 68 formulas).
% 0.65/0.82  ;      1352 (45%) were retained.  Of these,
% 0.65/0.82  ;           34 ( 3%) were simplified or subsumed later,
% 0.65/0.82  ;         1318 (97%) are still being kept.
% 0.65/0.82  ; 
% 0.65/0.82  ; Run time in seconds excluding printing time:
% 0.65/0.82  ;     0.001   0%   Read assertion file          (1 call)
% 0.65/0.82  ;     0.000   0%   Assert                       (5 calls)
% 0.65/0.82  ;     0.181  55%   Process new row              (2,434 calls)
% 0.65/0.82  ;     0.063  19%   Resolution                   (134 calls)
% 0.65/0.82  ;     0.003   1%   Paramodulation               (67 calls)
% 0.65/0.82  ;     0.000   0%   Condensing                   (1 call)
% 0.65/0.82  ;     0.000   0%   Forward subsumption          (1 call)
% 0.65/0.82  ;     0.000   0%   Backward subsumption         (1 call)
% 0.65/0.82  ;     0.027   8%   Forward simplification       (2,400 calls)
% 0.65/0.82  ;     0.022   7%   Backward simplification      (1,352 calls)
% 0.65/0.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.65/0.82  ;     0.000   0%   Purity testing               (1 call)
% 0.65/0.82  ;     0.031   9%   Other
% 0.65/0.82  ;     0.328        Total
% 0.65/0.82  ;     0.329        Real time
% 0.65/0.82  ; 
% 0.65/0.82  ; Term-hash-array has 3,537 terms in all.
% 0.65/0.82  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.65/0.82  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.65/0.82  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.65/0.82  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.65/0.82  ; Path-index has 3,414 entries (3,414 at peak, 3,558 added, 144 deleted).
% 0.65/0.82  ; Path-index has 5,583 nodes (5,583 at peak, 5,583 added, 0 deleted).
% 0.65/0.82  ; Trie-index has 3,414 entries (3,414 at peak, 3,558 added, 144 deleted).
% 0.65/0.82  ; Trie-index has 23,808 nodes (23,808 at peak, 24,331 added, 523 deleted).
% 0.65/0.82  ; Retrieved 8,332 generalization terms in 2,397 calls.
% 0.65/0.82  ; Retrieved 1,610 instance terms in 1,350 calls.
% 0.65/0.82  ; Retrieved 65,599 unifiable terms in 1,900 calls.
% 0.65/0.82  ; 
% 0.65/0.82  ; The agenda of rows to process has 136 entries:
% 0.65/0.82  ;     1 with value 17             24 with value 29               1 with value 37
% 0.65/0.82  ;     1 with value 19              8 with value 30               3 with value 38
% 0.65/0.82  ;     4 with value 20              1 with value 31               9 with value 39
% 0.65/0.82  ;     8 with value 24              5 with value 32               3 with value 40
% 0.65/0.82  ;     1 with value 25             22 with value 33               1 with value 41
% 0.65/0.82  ;     4 with value 27             31 with value 34               1 with value 49
% 0.65/0.82  ;     6 with value 28              2 with value 36
% 0.65/0.82  ; The agenda of rows to give has 1252 entries:
% 0.65/0.82  ;    13 with value (4 23)        112 with value (4 36)           4 with value (4 48)
% 0.65/0.82  ;    26 with value (4 24)        100 with value (4 37)           3 with value (4 49)
% 0.65/0.82  ;    15 with value (4 25)        110 with value (4 38)           1 with value (4 50)
% 0.65/0.82  ;    21 with value (4 26)         63 with value (4 39)           1 with value (4 53)
% 0.65/0.82  ;    50 with value (4 27)         49 with value (4 40)           1 with value (4 56)
% 0.65/0.82  ;    65 with value (4 28)          5 with value (4 41)           1 with value (4 58)
% 0.65/0.82  ;    69 with value (4 29)          4 with value (4 42)           3 with value (4 61)
% 0.65/0.82  ;    53 with value (4 30)          6 with value (4 43)           3 with value (4 62)
% 0.65/0.82  ;    52 with value (4 31)          4 with value (4 44)           4 with value (4 65)
% 0.65/0.82  ;    82 with value (4 32)          3 with value (4 45)           3 with value (4 66)
% 0.65/0.82  ;   117 with value (4 33)          6 with value (4 46)           1 with value (4 67)
% 0.65/0.82  ;   124 with value (4 34)          5 with value (4 47)           1 with value (4 76)
% 0.65/0.82  ;    72 with value (4 35)
% 0.65/0.82  Evaluation took:
% 0.65/0.82    0.33 seconds of real time
% 0.65/0.82    0.31086 seconds of user run time
% 0.65/0.82    0.019669 seconds of system run time
% 0.65/0.82    [Run times include 0.015 seconds GC run time.]
% 0.65/0.82    0 calls to %EVAL
% 0.65/0.82    0 page faults and
% 0.65/0.82    23,426,616 bytes consed.
% 0.65/0.82  :PROOF-FOUND
% 0.65/0.82  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T19:28:36
% 0.65/0.82  :PROOF-FOUND
% 0.65/0.82  * 
%------------------------------------------------------------------------------