TSTP Solution File: COM002-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 : Fri Jul 15 01:42:06 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  13 unt;   1 nHn;  15 RR)
%            Number of literals    :   21 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(direct_success,axiom,
    ( ~ fails(X,Y)
    | ~ follows(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',direct_success) ).

cnf(transitivity_of_success,axiom,
    ( ~ fails(X,Y)
    | fails(X,Z)
    | fails(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_success) ).

cnf(goto_success,axiom,
    ( ~ fails(X,Y)
    | ~ has(Y,goto(Z))
    | ~ labels(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goto_success) ).

cnf(label_state_3,hypothesis,
    labels(loop,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_state_3) ).

cnf(transition_3_to_6,hypothesis,
    follows(p6,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_3_to_6) ).

cnf(transition_6_to_7,hypothesis,
    follows(p7,p6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_6_to_7) ).

cnf(transition_7_to_8,hypothesis,
    follows(p8,p7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_7_to_8) ).

cnf(state_8,hypothesis,
    has(p8,goto(loop)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_8) ).

cnf(prove_there_is_a_loop_through_p3,negated_conjecture,
    fails(p3,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_loop_through_p3) ).

cnf(20,plain,
    ~ fails(p8,p7),
    inference('UR-RESOLVE',[status(thm)],[direct_success,transition_7_to_8]) ).

cnf(21,plain,
    ~ fails(p7,p6),
    inference('UR-RESOLVE',[status(thm)],[direct_success,transition_6_to_7]) ).

cnf(23,plain,
    ~ fails(p6,p3),
    inference('UR-RESOLVE',[status(thm)],[direct_success,transition_3_to_6]) ).

cnf(30,plain,
    ~ fails(p3,p8),
    inference('UR-RESOLVE',[status(thm)],[goto_success,state_8,label_state_3]) ).

cnf(32,plain,
    ~ fails(p8,p6),
    inference('UR-RESOLVE',[status(thm)],[transitivity_of_success,21,20]) ).

cnf(42,plain,
    fails(p8,p3),
    inference('UR-RESOLVE',[status(thm)],[transitivity_of_success,30,prove_there_is_a_loop_through_p3]) ).

cnf(45,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_of_success,32,23]),42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 19:53:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:53:02
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-16T19:53:02
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        47 formulas have been input or derived (from 30 formulas).
% 0.19/0.50  ;        45 (96%) were retained.  Of these,
% 0.19/0.50  ;           45 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.003  10%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (19 calls)
% 0.19/0.50  ;     0.001   3%   Process new row              (46 calls)
% 0.19/0.50  ;     0.001   3%   Resolution                   (58 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (29 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (5 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.19/0.50  ;     0.001   3%   Forward simplification       (46 calls)
% 0.19/0.50  ;     0.001   3%   Backward simplification      (45 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (2 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  73%   Other
% 0.19/0.50  ;     0.030        Total
% 0.19/0.50  ;     0.032        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 61 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.50  ; Path-index has 77 entries (77 at peak, 77 added, 0 deleted).
% 0.19/0.50  ; Path-index has 152 nodes (152 at peak, 152 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 77 entries (77 at peak, 77 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 147 nodes (147 at peak, 147 added, 0 deleted).
% 0.19/0.50  ; Retrieved 2 generalization terms in 39 calls.
% 0.19/0.50  ; Retrieved 39 instance terms in 39 calls.
% 0.19/0.50  ; Retrieved 273 unifiable terms in 204 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 1 entry:
% 0.19/0.50  ;     1 with value 7
% 0.19/0.50  ; The agenda of rows to give has 15 entries:
% 0.19/0.50  ;    12 with value (4 6)           1 with value (4 8)            1 with value (4 9)
% 0.19/0.50  ;     1 with value (4 7)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.032 seconds of real time
% 0.19/0.50    0.025169 seconds of user run time
% 0.19/0.50    0.006976 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,222,928 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:53:02
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------