TSTP Solution File: LCL398-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   0 equ;   4 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   :   11 (   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_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_64,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(x,x)),y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_64) ).

cnf(6,plain,
    ~ is_a_theorem(implies(x,x)),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_3,prove_cn_64]) ).

cnf(13,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(70,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,13,cn_2,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n027.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
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 23:23:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-02T23:23:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-02T23:23:54
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;       138 formulas have been input or derived (from 15 formulas).
% 0.20/0.51  ;        70 (51%) were retained.  Of these,
% 0.20/0.51  ;           70 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds:
% 0.20/0.51  ;     0.001   3%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (5 calls)
% 0.20/0.51  ;     0.005  13%   Process new row              (105 calls)
% 0.20/0.51  ;     0.004  10%   Resolution                   (28 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (14 calls)
% 0.20/0.51  ;     0.001   3%   Condensing                   (1 call)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.51  ;     0.002   5%   Forward simplification       (105 calls)
% 0.20/0.51  ;     0.004  10%   Backward simplification      (70 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  56%   Other
% 0.20/0.51  ;     0.039        Total
% 0.20/0.51  ;     0.039        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 193 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.51  ; Path-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.20/0.51  ; Path-index has 587 nodes (587 at peak, 587 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 965 nodes (965 at peak, 965 added, 0 deleted).
% 0.20/0.51  ; Retrieved 95 generalization terms in 102 calls.
% 0.20/0.51  ; Retrieved 73 instance terms in 68 calls.
% 0.20/0.51  ; Retrieved 859 unifiable terms in 192 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 21 entries:
% 0.20/0.51  ;     1 with value 8               1 with value 19               1 with value 26
% 0.20/0.51  ;     1 with value 13              1 with value 21               4 with value 28
% 0.20/0.51  ;     1 with value 14              5 with value 23               1 with value 29
% 0.20/0.51  ;     5 with value 18
% 0.20/0.51  ; The agenda of rows to give has 55 entries:
% 0.20/0.51  ;     2 with value (4 18)         11 with value (4 23)           5 with value (4 27)
% 0.20/0.51  ;     2 with value (4 20)          7 with value (4 24)           7 with value (4 28)
% 0.20/0.51  ;     1 with value (4 21)          3 with value (4 25)           8 with value (4 29)
% 0.20/0.51  ;     6 with value (4 22)          3 with value (4 26)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.04 seconds of real time
% 0.20/0.51    0.03466 seconds of user run time
% 0.20/0.51    0.005424 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,419,600 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T23:23:54
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------