TSTP Solution File: COM004-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM004-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 01:42:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   10 (   9 unt;   0 nHn;   8 RR)
%            Number of literals    :   14 (   2 equ;   5 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(make_node,axiom,
    ( failure_node(parent_of(X,Y),or(Z,U))
    | ~ failure_node(X,or(Z,V))
    | ~ failure_node(Y,or(U,W))
    | ~ contradictory(V,W)
    | ~ siblings(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_node) ).

cnf(x_contradicts_not_x,axiom,
    contradictory(X,negate(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_contradicts_not_x) ).

cnf(n_left_and_n_right_are_siblings,axiom,
    siblings(left_child_of(X),right_child_of(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_and_n_right_are_siblings) ).

cnf(n_left_is_atom,hypothesis,
    failure_node(n_left,or(empty,atom)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_is_atom) ).

cnf(n_right_is_not_atom,hypothesis,
    failure_node(n_right,or(empty,negate(atom))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_is_not_atom) ).

cnf(n_left_equals_left_child_of_n,hypothesis,
    n_left = left_child_of(n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_equals_left_child_of_n) ).

cnf(n_right_equals_right_child_of_n,hypothesis,
    n_right = right_child_of(n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_equals_right_child_of_n) ).

cnf(goal_is_there_an_empty_node,negated_conjecture,
    ~ failure_node(X,or(empty,empty)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_is_there_an_empty_node) ).

cnf(10,plain,
    siblings(n_left,n_right),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[n_left_and_n_right_are_siblings,n_left_equals_left_child_of_n,theory(equality)]),n_right_equals_right_child_of_n,theory(equality)]) ).

cnf(11,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[make_node,goal_is_there_an_empty_node,n_left_is_atom,n_right_is_not_atom,x_contradicts_not_x]),10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM004-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 19:33:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:33:51
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-16T19:33:51
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        15 formulas have been input or derived (from 10 formulas).
% 0.20/0.50  ;        11 (73%) were retained.  Of these,
% 0.20/0.50  ;           11 (100%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (9 calls)
% 0.20/0.50  ;     0.000   0%   Process new row              (14 calls)
% 0.20/0.50  ;     0.001   4%   Resolution                   (18 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (9 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.50  ;     0.001   4%   Forward simplification       (14 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (11 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (12 calls)
% 0.20/0.50  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.020  80%   Other
% 0.20/0.50  ;     0.025        Total
% 0.20/0.50  ;     0.027        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 27 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.50  ; Path-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.20/0.50  ; Path-index has 78 nodes (78 at peak, 78 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.20/0.50  ; Retrieved 4 generalization terms in 10 calls.
% 0.20/0.50  ; Retrieved 9 instance terms in 9 calls.
% 0.20/0.50  ; Retrieved 90 unifiable terms in 89 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 1 entry:
% 0.20/0.50  ;     1 with value 5
% 0.20/0.50  ; The agenda of rows to give has 1 entry:
% 0.20/0.50  ;     1 with value (4 5)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.028 seconds of real time
% 0.20/0.50    0.019018 seconds of user run time
% 0.20/0.50    0.008833 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    1,825,408 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:33:51
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------