TSTP Solution File: SYN728+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 : Thu Jul 21 12:02:50 EDT 2022

% Result   : Theorem 0.17s 0.49s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   6 unt;   4 nHn;   5 RR)
%            Number of literals    :   20 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( ~ p(X,Y)
    | p(Z,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69) ).

cnf(2,negated_conjecture,
    ( p(X,'SKOLEMAAAV1'(X))
    | m(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69) ).

cnf(3,negated_conjecture,
    ( p(X,'SKOLEMAAAV1'(X))
    | q(f(X,'SKOLEMAAAV1'(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69) ).

cnf(4,negated_conjecture,
    ( ~ q(X)
    | ~ m(g(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69) ).

cnf(5,negated_conjecture,
    ( ~ p(g('SKOLEMAAAV2'),X)
    | ~ p('SKOLEMAAAV2','SKOLEMAAAV2') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69) ).

cnf(6,plain,
    ( m(X)
    | p(Y,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[1,2]) ).

cnf(7,plain,
    ( q(f(X,'SKOLEMAAAV1'(X)))
    | p(Y,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[1,3]) ).

cnf(8,plain,
    m(X),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,6,6])]) ).

cnf(9,plain,
    ~ q(X),
    inference('REWRITE',[status(thm)],[4,8]) ).

cnf(10,plain,
    p(X,'SKOLEMAAAV1'(X)),
    inference('REWRITE',[status(thm)],[3,9]) ).

cnf(11,plain,
    p(X,X),
    inference('REWRITE',[status(thm)],[7,9]) ).

cnf(12,plain,
    ~ p(g('SKOLEMAAAV2'),X),
    inference('REWRITE',[status(thm)],[5,11]) ).

cnf(13,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[12,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul 12 07:23:37 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45  * 
% 0.17/0.45  * 
% 0.17/0.46  #<PACKAGE "SNARK-USER">
% 0.17/0.46  * 
% 0.17/0.46  SNARK-TPTP-OPTIONS
% 0.17/0.46  * 
% 0.17/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.46   (USE-FACTORING :POS)
% 0.17/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.46  * 
% 0.17/0.46  "."
% 0.17/0.46  * 
% 0.17/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T07:23:37
% 0.17/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-12T07:23:37
% 0.17/0.49  
% 0.17/0.49  
% 0.17/0.49  #||
% 0.17/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49  % SZS output start Refutation
% See solution above
% 0.17/0.49  ||#
% 0.17/0.49  
% 0.17/0.49  ; Summary of computation:
% 0.17/0.49  ;        18 formulas have been input or derived (from 10 formulas).
% 0.17/0.49  ;        13 (72%) were retained.  Of these,
% 0.17/0.49  ;            7 (54%) were simplified or subsumed later,
% 0.17/0.49  ;            6 (46%) are still being kept.
% 0.17/0.49  ; 
% 0.17/0.49  ; Run time in seconds excluding printing time:
% 0.17/0.49  ;     0.001   4%   Read assertion file          (1 call)
% 0.17/0.49  ;     0.000   0%   Assert                       (1 call)
% 0.17/0.49  ;     0.001   4%   Process new row              (16 calls)
% 0.17/0.49  ;     0.000   0%   Resolution                   (18 calls)
% 0.17/0.49  ;     0.000   0%   Paramodulation               (9 calls)
% 0.17/0.49  ;     0.000   0%   Factoring                    (3 calls)
% 0.17/0.49  ;     0.000   0%   Condensing                   (8 calls)
% 0.17/0.49  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.17/0.49  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.17/0.49  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.17/0.49  ;     0.001   4%   Forward simplification       (13 calls)
% 0.17/0.49  ;     0.000   0%   Backward simplification      (13 calls)
% 0.17/0.49  ;     0.000   0%   Ordering                     (6 calls)
% 0.17/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.49  ;     0.023  88%   Other
% 0.17/0.49  ;     0.026        Total
% 0.17/0.49  ;     0.028        Real time
% 0.17/0.49  ; 
% 0.17/0.49  ; Term-hash-array has 15 terms in all.
% 0.17/0.49  ; Feature-vector-row-index has 0 entries (7 at peak, 7 added, 7 deleted).
% 0.17/0.49  ; Feature-vector-row-index has 1 node (24 at peak, 24 added, 23 deleted).
% 0.17/0.49  ;  Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.17/0.49  ;  Retrieved 2 possibly backward subsumed rows in 7 calls.
% 0.17/0.49  ; Path-index has 8 entries (15 at peak, 22 added, 14 deleted).
% 0.17/0.49  ; Path-index has 28 nodes (36 at peak, 42 added, 14 deleted).
% 0.17/0.49  ; Trie-index has 8 entries (15 at peak, 22 added, 14 deleted).
% 0.17/0.49  ; Trie-index has 18 nodes (31 at peak, 42 added, 24 deleted).
% 0.17/0.49  ; Retrieved 1 generalization term in 2 calls.
% 0.17/0.49  ; Retrieved 11 instance terms in 5 calls.
% 0.17/0.49  ; Retrieved 53 unifiable terms in 39 calls.
% 0.17/0.49  ; 
% 0.17/0.49  ; The agenda of rows to give has 2 entries:
% 0.17/0.49  ;     2 with value (4 5)
% 0.17/0.49  Evaluation took:
% 0.17/0.49    0.029 seconds of real time
% 0.17/0.49    0.027699 seconds of user run time
% 0.17/0.49    0.001004 seconds of system run time
% 0.17/0.49    0 calls to %EVAL
% 0.17/0.49    0 page faults and
% 0.17/0.49    2,006,400 bytes consed.
% 0.17/0.49  :PROOF-FOUND
% 0.17/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T07:23:37
% 0.17/0.49  :PROOF-FOUND
% 0.17/0.49  * 
%------------------------------------------------------------------------------