TSTP Solution File: LCL638+1.001 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 14:24:03 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   2 nHn;  14 RR)
%            Number of literals    :   30 (   0 equ;  17 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | r1(Y,'SKOLEMAAAU2'(Y))
    | p1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(2,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ p1('SKOLEMAAAU2'(Y))
    | p1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(9,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | p1(Z)
    | r1(X,'SKOLEMAAAU6'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(10,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | p1(Z)
    | ~ p1('SKOLEMAAAU6'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(11,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | r1(X,'SKOLEMAAAU7'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(12,negated_conjecture,
    r1('SKOLEMAAAU1','SKOLEMAAAU8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(13,negated_conjecture,
    ~ p1('SKOLEMAAAU8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(14,negated_conjecture,
    ( ~ r1('SKOLEMAAAU8',X)
    | p1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(16,plain,
    r1('SKOLEMAAAU8','SKOLEMAAAU7'('SKOLEMAAAU8')),
    inference('HYPERRESOLVE',[status(thm)],[11,12]) ).

cnf(18,plain,
    ~ p1('SKOLEMAAAU2'('SKOLEMAAAU7'('SKOLEMAAAU8'))),
    inference('UR-RESOLVE',[status(thm)],[2,16,12,13]) ).

cnf(19,plain,
    r1('SKOLEMAAAU7'('SKOLEMAAAU8'),'SKOLEMAAAU2'('SKOLEMAAAU7'('SKOLEMAAAU8'))),
    inference('UR-RESOLVE',[status(thm)],[1,16,12,13]) ).

cnf(21,plain,
    ~ p1('SKOLEMAAAU6'('SKOLEMAAAU8')),
    inference('UR-RESOLVE',[status(thm)],[10,19,12,16,18]) ).

cnf(22,plain,
    r1('SKOLEMAAAU8','SKOLEMAAAU6'('SKOLEMAAAU8')),
    inference('UR-RESOLVE',[status(thm)],[9,19,12,16,18]) ).

cnf(25,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[14,21]),22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n006.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
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 09:41:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T09:41:52
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-03T09:41:52
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?Y is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?Y is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?Y is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?Y is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?Y is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.47  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        29 formulas have been input or derived (from 21 formulas).
% 0.18/0.49  ;        25 (86%) were retained.  Of these,
% 0.18/0.49  ;           25 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.003   9%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.002   6%   Assert                       (1 call)
% 0.18/0.49  ;     0.004  12%   Process new row              (27 calls)
% 0.18/0.49  ;     0.004  12%   Resolution                   (40 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (20 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (14 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (14 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (14 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (27 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (25 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.020  61%   Other
% 0.18/0.49  ;     0.033        Total
% 0.18/0.49  ;     0.034        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 42 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 0 possibly forward subsuming rows in 14 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.18/0.49  ; Path-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.18/0.49  ; Path-index has 77 nodes (77 at peak, 77 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.18/0.49  ; Retrieved 5 generalization terms in 19 calls.
% 0.18/0.49  ; Retrieved 10 instance terms in 10 calls.
% 0.18/0.49  ; Retrieved 1,669 unifiable terms in 460 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to give has 4 entries:
% 0.18/0.49  ;     1 with value (4 9)           1 with value (4 18)           1 with value (4 21)
% 0.18/0.49  ;     1 with value (4 11)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.035 seconds of real time
% 0.18/0.49    0.026902 seconds of user run time
% 0.18/0.49    0.008145 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    2,575,288 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T09:41:52
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------