TSTP Solution File: LCL686+1.020 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL686+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:25:22 EDT 2022

% Result   : Theorem 0.70s 0.89s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   5 unt;   2 nHn;  10 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    r1(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

cnf(180,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | ~ r1(X,Y)
    | ~ p2(Y)
    | p1(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(181,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | ~ r1(X,Y)
    | p2(Y)
    | ~ p1(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(184,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | r1(X,'SKOLEMAAAV64'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(299,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | p1('SKOLEMAAAV64'(X))
    | p2('SKOLEMAAAV64'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(300,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | ~ p2('SKOLEMAAAV64'(X))
    | ~ p1('SKOLEMAAAV64'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(304,plain,
    r1('SKOLEMAAAV4','SKOLEMAAAV64'('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[184,1]) ).

cnf(420,plain,
    ( p1('SKOLEMAAAV64'('SKOLEMAAAV4'))
    | p2('SKOLEMAAAV64'('SKOLEMAAAV4')) ),
    inference('HYPERRESOLVE',[status(thm)],[299,1]) ).

cnf(2007,plain,
    p1('SKOLEMAAAV64'('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[180,420,304,1]) ).

cnf(2008,plain,
    p2('SKOLEMAAAV64'('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[181,2007,304,1]) ).

cnf(2009,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[300,2007,1]),2008]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL686+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n013.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 : Sat Jul  2 21:30:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T21:30:14
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-02T21:30:14
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.52  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.53  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.54  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.55  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.56  WARNING: In quantification, variable ?Y is being rebound.
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  #||
% 0.70/0.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.89  % SZS output start Refutation
% See solution above
% 0.70/0.89  ||#
% 0.70/0.89  
% 0.70/0.89  ; Summary of computation:
% 0.70/0.89  ;      5152 formulas have been input or derived (from 607 formulas).
% 0.70/0.89  ;      2009 (39%) were retained.  Of these,
% 0.70/0.89  ;            2 ( 0%) were simplified or subsumed later,
% 0.70/0.89  ;         2007 (100%) are still being kept.
% 0.70/0.89  ; 
% 0.70/0.89  ; Run time in seconds:
% 0.70/0.89  ;     0.031   8%   Read assertion file          (1 call)
% 0.70/0.89  ;     0.063  15%   Assert                       (3 calls)
% 0.70/0.89  ;     0.088  22%   Process new row              (4,990 calls)
% 0.70/0.89  ;     0.109  27%   Resolution                   (1,212 calls)
% 0.70/0.89  ;     0.005   1%   Paramodulation               (606 calls)
% 0.70/0.89  ;     0.000   0%   Factoring                    (58 calls)
% 0.70/0.89  ;     0.001   0%   Condensing                   (987 calls)
% 0.70/0.89  ;     0.026   6%   Forward subsumption          (987 calls)
% 0.70/0.89  ;     0.016   4%   Backward subsumption         (933 calls)
% 0.70/0.89  ;     0.001   0%   Clause clause subsumption    (55 calls)
% 0.70/0.89  ;     0.021   5%   Forward simplification       (4,989 calls)
% 0.70/0.89  ;     0.005   1%   Backward simplification      (2,009 calls)
% 0.70/0.89  ;     0.001   0%   Ordering                     (116 calls)
% 0.70/0.89  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.70/0.89  ;     0.001   0%   Purity testing               (1 call)
% 0.70/0.89  ;     0.041  10%   Other
% 0.70/0.89  ;     0.409        Total
% 0.70/0.89  ;     0.410        Real time
% 0.70/0.89  ; 
% 0.70/0.89  ; Term-hash-array has 2,682 terms in all.
% 0.70/0.89  ; Feature-vector-row-index has 931 entries (933 at peak, 933 added, 2 deleted).
% 0.70/0.89  ; Feature-vector-row-index has 760 nodes (764 at peak, 764 added, 4 deleted).
% 0.70/0.89  ;  Retrieved 3,137 possibly forward subsuming rows in 987 calls.
% 0.70/0.89  ;  Retrieved 2,839 possibly backward subsumed rows in 933 calls.
% 0.70/0.89  ; Path-index has 2,686 entries (2,686 at peak, 2,686 added, 0 deleted).
% 0.70/0.89  ; Path-index has 5,592 nodes (5,592 at peak, 5,592 added, 0 deleted).
% 0.70/0.89  ; Trie-index has 2,686 entries (2,686 at peak, 2,686 added, 0 deleted).
% 0.70/0.89  ; Trie-index has 7,099 nodes (7,099 at peak, 7,099 added, 0 deleted).
% 0.70/0.89  ; Retrieved 4,458 generalization terms in 4,486 calls.
% 0.70/0.89  ; Retrieved 1,075 instance terms in 1,075 calls.
% 0.70/0.89  ; Retrieved 84,650 unifiable terms in 23,694 calls.
% 0.70/0.89  ; 
% 0.70/0.89  ; The agenda of rows to process has 1 entry:
% 0.70/0.89  ;     1 with value 8
% 0.70/0.89  ; The agenda of rows to give has 1402 entries:
% 0.70/0.89  ;     1 with value (4 8)         126 with value (4 14)          58 with value (4 17)
% 0.70/0.89  ;   225 with value (4 11)        228 with value (4 15)         116 with value (4 18)
% 0.70/0.89  ;   179 with value (4 12)        174 with value (4 16)         232 with value (4 19)
% 0.70/0.89  ;    63 with value (4 13)
% 0.70/0.89  Evaluation took:
% 0.70/0.89    0.41 seconds of real time
% 0.70/0.89    0.364533 seconds of user run time
% 0.70/0.89    0.046206 seconds of system run time
% 0.70/0.89    [Run times include 0.023 seconds GC run time.]
% 0.70/0.89    0 calls to %EVAL
% 0.70/0.89    0 page faults and
% 0.70/0.89    29,249,024 bytes consed.
% 0.70/0.89  :PROOF-FOUND
% 0.70/0.89  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T21:30:15
% 0.70/0.89  :PROOF-FOUND
% 0.70/0.89  * 
%------------------------------------------------------------------------------