TSTP Solution File: LCL650+1.001 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:24:21 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (   7 unt;   6 nHn;  16 RR)
%            Number of literals    :   49 (   0 equ;  30 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (   0 sgn)

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

cnf(2,negated_conjecture,
    r1('SKOLEMAAAU2','SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(3,negated_conjecture,
    r1('SKOLEMAAAU3','SKOLEMAAAU4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(4,negated_conjecture,
    r1('SKOLEMAAAU4','SKOLEMAAAU5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(6,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | p3(U)
    | p1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(7,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ p1(U)
    | ~ p3(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(9,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | p2(U)
    | p3(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(10,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ p3(U)
    | ~ p2(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(13,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | p1(U)
    | p2(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(14,negated_conjecture,
    ( ~ r1('SKOLEMAAAU1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ p2(U)
    | ~ p1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(26,plain,
    ( p3('SKOLEMAAAU5')
    | p1('SKOLEMAAAU5') ),
    inference('HYPERRESOLVE',[status(thm)],[6,1,2,3,4]) ).

cnf(28,plain,
    ( p2('SKOLEMAAAU5')
    | p3('SKOLEMAAAU5') ),
    inference('HYPERRESOLVE',[status(thm)],[9,1,2,3,4]) ).

cnf(30,plain,
    ( p1('SKOLEMAAAU5')
    | p2('SKOLEMAAAU5') ),
    inference('HYPERRESOLVE',[status(thm)],[13,1,2,3,4]) ).

cnf(38,plain,
    p1('SKOLEMAAAU5'),
    inference('HYPERRESOLVE',[status(thm)],[10,30,1,2,3,4,26]) ).

cnf(39,plain,
    p2('SKOLEMAAAU5'),
    inference('HYPERRESOLVE',[status(thm)],[7,38,1,2,3,4,28]) ).

cnf(40,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[14,38,1,2,3,4]),39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 : Sun Jul  3 10:53:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-03T10:53:30
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-03T10:53:30
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING:
% 0.19/0.48     |p5| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |p8| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |p6| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |p4| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;        54 formulas have been input or derived (from 32 formulas).
% 0.19/0.52  ;        40 (74%) were retained.  Of these,
% 0.19/0.52  ;            3 ( 8%) were simplified or subsumed later,
% 0.19/0.52  ;           37 (92%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.003   7%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.003   7%   Assert                       (1 call)
% 0.19/0.52  ;     0.004   9%   Process new row              (50 calls)
% 0.19/0.52  ;     0.011  24%   Resolution                   (62 calls)
% 0.19/0.52  ;     0.001   2%   Paramodulation               (31 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (5 calls)
% 0.19/0.52  ;     0.001   2%   Condensing                   (15 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (15 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (15 calls)
% 0.19/0.52  ;     0.000   0%   Forward simplification       (45 calls)
% 0.19/0.52  ;     0.000   0%   Backward simplification      (40 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (10 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.021  47%   Other
% 0.19/0.52  ;     0.045        Total
% 0.19/0.52  ;     0.048        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 48 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 12 entries (15 at peak, 15 added, 3 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 45 nodes (51 at peak, 51 added, 6 deleted).
% 0.19/0.52  ;  Retrieved 0 possibly forward subsuming rows in 15 calls.
% 0.19/0.52  ;  Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.19/0.52  ; Path-index has 57 entries (58 at peak, 58 added, 1 deleted).
% 0.19/0.52  ; Path-index has 82 nodes (83 at peak, 83 added, 1 deleted).
% 0.19/0.52  ; Trie-index has 57 entries (58 at peak, 58 added, 1 deleted).
% 0.19/0.52  ; Trie-index has 91 nodes (92 at peak, 92 added, 1 deleted).
% 0.19/0.52  ; Retrieved 6 generalization terms in 61 calls.
% 0.19/0.52  ; Retrieved 24 instance terms in 24 calls.
% 0.19/0.52  ; Retrieved 7,613 unifiable terms in 3,765 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 1 entry:
% 0.19/0.52  ;     1 with value 6
% 0.19/0.52  ; The agenda of rows to give has 8 entries:
% 0.19/0.52  ;     1 with value (4 6)           3 with value (4 9)            3 with value (4 11)
% 0.19/0.52  ;     1 with value (4 7)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.048 seconds of real time
% 0.19/0.52    0.042373 seconds of user run time
% 0.19/0.52    0.006097 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,561,856 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T10:53:30
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------