TSTP Solution File: LCL397-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:22:36 EDT 2022

% Result   : Unsatisfiable 0.39s 0.60s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  11 unt;   0 nHn;   5 RR)
%            Number of literals    :   14 (   0 equ;   5 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   :   18 (   4 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_2,axiom,
    is_a_theorem(implies(implies(not(X),X),X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

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_63,negated_conjecture,
    ~ is_a_theorem(implies(x,implies(y,y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_63) ).

cnf(8,plain,
    ~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(x,implies(y,y)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_2,prove_cn_63]) ).

cnf(12,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(53,plain,
    is_a_theorem(implies(X,X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_2]) ).

cnf(64,plain,
    is_a_theorem(implies(not(implies(X,X)),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,53,cn_3]) ).

cnf(69,plain,
    is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,cn_1]) ).

cnf(202,plain,
    ~ is_a_theorem(implies(x,implies(not(implies(y,y)),implies(y,y)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).

cnf(287,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,69,12,202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul  4 01:50:00 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T01:50:00
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-04T01:50:00
% 0.39/0.60  
% 0.39/0.60  
% 0.39/0.60  #||
% 0.39/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.60  % SZS output start Refutation
% See solution above
% 0.39/0.60  ||#
% 0.39/0.60  
% 0.39/0.60  ; Summary of computation:
% 0.39/0.60  ;       561 formulas have been input or derived (from 30 formulas).
% 0.39/0.60  ;       287 (51%) were retained.  Of these,
% 0.39/0.60  ;          287 (100%) are still being kept.
% 0.39/0.60  ; 
% 0.39/0.60  ; Run time in seconds excluding printing time:
% 0.39/0.60  ;     0.001   1%   Read assertion file          (1 call)
% 0.39/0.60  ;     0.000   0%   Assert                       (5 calls)
% 0.39/0.60  ;     0.037  39%   Process new row              (475 calls)
% 0.39/0.60  ;     0.013  14%   Resolution                   (58 calls)
% 0.39/0.60  ;     0.002   2%   Paramodulation               (29 calls)
% 0.39/0.60  ;     0.000   0%   Condensing                   (1 call)
% 0.39/0.60  ;     0.000   0%   Forward subsumption          (1 call)
% 0.39/0.60  ;     0.000   0%   Backward subsumption         (1 call)
% 0.39/0.60  ;     0.008   9%   Forward simplification       (475 calls)
% 0.39/0.60  ;     0.005   5%   Backward simplification      (287 calls)
% 0.39/0.60  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.39/0.60  ;     0.001   1%   Purity testing               (1 call)
% 0.39/0.60  ;     0.026  28%   Other
% 0.39/0.60  ;     0.094        Total
% 0.39/0.60  ;     0.097        Real time
% 0.39/0.60  ; 
% 0.39/0.60  ; Term-hash-array has 789 terms in all.
% 0.39/0.60  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.39/0.60  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.39/0.60  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.39/0.60  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.39/0.60  ; Path-index has 791 entries (791 at peak, 791 added, 0 deleted).
% 0.39/0.60  ; Path-index has 1,527 nodes (1,527 at peak, 1,527 added, 0 deleted).
% 0.39/0.60  ; Trie-index has 791 entries (791 at peak, 791 added, 0 deleted).
% 0.39/0.60  ; Trie-index has 4,563 nodes (4,563 at peak, 4,563 added, 0 deleted).
% 0.39/0.60  ; Retrieved 1,052 generalization terms in 472 calls.
% 0.39/0.60  ; Retrieved 431 instance terms in 285 calls.
% 0.39/0.60  ; Retrieved 4,697 unifiable terms in 540 calls.
% 0.39/0.60  ; 
% 0.39/0.60  ; The agenda of rows to process has 54 entries:
% 0.39/0.60  ;    10 with value 16              1 with value 25               6 with value 31
% 0.39/0.60  ;     1 with value 18              6 with value 26               2 with value 32
% 0.39/0.60  ;     4 with value 19              2 with value 27               1 with value 33
% 0.39/0.60  ;     1 with value 21              1 with value 28               3 with value 35
% 0.39/0.60  ;     8 with value 22              3 with value 30               1 with value 41
% 0.39/0.60  ;     4 with value 24
% 0.39/0.60  ; The agenda of rows to give has 257 entries:
% 0.39/0.60  ;     2 with value (4 20)         21 with value (4 27)          11 with value (4 33)
% 0.39/0.60  ;     9 with value (4 21)         25 with value (4 28)           3 with value (4 34)
% 0.39/0.60  ;    13 with value (4 22)         29 with value (4 29)           4 with value (4 36)
% 0.39/0.60  ;    13 with value (4 23)         16 with value (4 30)           3 with value (4 38)
% 0.39/0.60  ;    18 with value (4 24)         24 with value (4 31)           3 with value (4 39)
% 0.39/0.60  ;    17 with value (4 25)         26 with value (4 32)           2 with value (4 40)
% 0.39/0.60  ;    18 with value (4 26)
% 0.39/0.60  Evaluation took:
% 0.39/0.60    0.097 seconds of real time
% 0.39/0.60    0.087567 seconds of user run time
% 0.39/0.60    0.009462 seconds of system run time
% 0.39/0.60    0 calls to %EVAL
% 0.39/0.60    0 page faults and
% 0.39/0.60    5,662,840 bytes consed.
% 0.39/0.60  :PROOF-FOUND
% 0.39/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T01:50:00
% 0.39/0.60  :PROOF-FOUND
% 0.39/0.60  * 
%------------------------------------------------------------------------------