TSTP Solution File: NUM540+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM540+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 : Mon Jul 18 14:11:29 EDT 2022

% Result   : Theorem 1.00s 1.21s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   2 nHn;  12 RR)
%            Number of literals    :   23 (   5 equ;  11 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != slcrc0
    | aSet0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

cnf(3,axiom,
    ( X != slcrc0
    | ~ aElementOf0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

cnf(50,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X),sz00) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).

cnf(82,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | Y = slbdtrb0(X)
    | ~ aSet0(Y)
    | aElementOf0('SKOLEMAAAV9'(Y,X),Y)
    | aElementOf0('SKOLEMAAAV9'(Y,X),szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

cnf(83,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | Y = slbdtrb0(X)
    | ~ aSet0(Y)
    | aElementOf0('SKOLEMAAAV9'(Y,X),Y)
    | sdtlseqdt0(szszuzczcdt0('SKOLEMAAAV9'(Y,X)),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

cnf(85,negated_conjecture,
    slbdtrb0(sz00) != slcrc0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(86,plain,
    aSet0(slcrc0),
    inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).

cnf(89,plain,
    ~ aElementOf0(X,slcrc0),
    inference('UR-RESOLVE',[status(thm)],[3,theory(equality)]) ).

cnf(109,plain,
    aElementOf0('SKOLEMAAAV9'(slcrc0,sz00),szNzAzT0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,86,42]),89,85]) ).

cnf(110,plain,
    sdtlseqdt0(szszuzczcdt0('SKOLEMAAAV9'(slcrc0,sz00)),sz00),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,86,42]),89,85]) ).

cnf(1577,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[50,109]),110]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM540+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jul  5 21:55:42 EDT 2022
% 0.14/0.34  % 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 2022-07-05T21:55:43
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T21:55:43
% 0.20/0.50  WARNING:
% 0.20/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.00/1.21  
% 1.00/1.21  
% 1.00/1.21  #||
% 1.00/1.21  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.21  % SZS output start Refutation
% See solution above
% 1.00/1.21  ||#
% 1.00/1.21  
% 1.00/1.21  ; Summary of computation:
% 1.00/1.21  ;      2466 formulas have been input or derived (from 128 formulas).
% 1.00/1.21  ;      1577 (64%) were retained.  Of these,
% 1.00/1.21  ;          107 ( 7%) were simplified or subsumed later,
% 1.00/1.21  ;         1470 (93%) are still being kept.
% 1.00/1.21  ; 
% 1.00/1.21  ; Run time in seconds excluding printing time:
% 1.00/1.21  ;     0.012   2%   Read assertion file          (1 call)
% 1.00/1.21  ;     0.004   1%   Assert                       (52 calls)
% 1.00/1.21  ;     0.157  21%   Process new row              (2,324 calls)
% 1.00/1.21  ;     0.270  37%   Resolution                   (254 calls)
% 1.00/1.21  ;     0.002   0%   Paramodulation               (127 calls)
% 1.00/1.21  ;     0.008   1%   Condensing                   (1,068 calls)
% 1.00/1.21  ;     0.132  18%   Forward subsumption          (1,068 calls)
% 1.00/1.21  ;     0.038   5%   Backward subsumption         (992 calls)
% 1.00/1.21  ;     0.002   0%   Clause clause subsumption    (1,054 calls)
% 1.00/1.21  ;     0.052   7%   Forward simplification       (2,323 calls)
% 1.00/1.21  ;     0.013   2%   Backward simplification      (1,577 calls)
% 1.00/1.21  ;     0.005   1%   Ordering                     (2,431 calls)
% 1.00/1.21  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.00/1.21  ;     0.000   0%   Purity testing               (1 call)
% 1.00/1.21  ;     0.037   5%   Other
% 1.00/1.21  ;     0.733        Total
% 1.00/1.21  ;     0.737        Real time
% 1.00/1.21  ; 
% 1.00/1.21  ; Term-hash-array has 3,042 terms in all.
% 1.00/1.21  ; Feature-vector-row-index has 906 entries (906 at peak, 992 added, 86 deleted).
% 1.00/1.21  ; Feature-vector-row-index has 5,984 nodes (5,984 at peak, 6,550 added, 566 deleted).
% 1.00/1.21  ;  Retrieved 2,018 possibly forward subsuming rows in 1,068 calls.
% 1.00/1.21  ;  Retrieved 501 possibly backward subsumed rows in 992 calls.
% 1.00/1.21  ; Path-index has 2,994 entries (2,994 at peak, 3,164 added, 170 deleted).
% 1.00/1.21  ; Path-index has 1,557 nodes (1,557 at peak, 1,606 added, 49 deleted).
% 1.00/1.21  ; Trie-index has 2,994 entries (2,994 at peak, 3,164 added, 170 deleted).
% 1.00/1.21  ; Trie-index has 9,057 nodes (9,057 at peak, 9,499 added, 442 deleted).
% 1.00/1.21  ; Retrieved 1,281 generalization terms in 9,102 calls.
% 1.00/1.21  ; Retrieved 584 instance terms in 584 calls.
% 1.00/1.21  ; Retrieved 567,095 unifiable terms in 25,386 calls.
% 1.00/1.21  ; 
% 1.00/1.21  ; The agenda of rows to process has 39 entries:
% 1.00/1.21  ;     4 with value 12              2 with value 19               1 with value 32
% 1.00/1.21  ;     3 with value 13              6 with value 21               3 with value 36
% 1.00/1.21  ;     2 with value 14              1 with value 22               4 with value 40
% 1.00/1.21  ;     1 with value 15              5 with value 23               3 with value 44
% 1.00/1.21  ;     3 with value 18              1 with value 25
% 1.00/1.21  ; The agenda of rows to give has 1342 entries:
% 1.00/1.21  ;    29 with value (4 9)          31 with value (4 26)          54 with value (4 42)
% 1.00/1.21  ;    39 with value (4 10)         28 with value (4 27)          11 with value (4 43)
% 1.00/1.21  ;    59 with value (4 11)         19 with value (4 28)          28 with value (4 44)
% 1.00/1.21  ;    73 with value (4 12)         12 with value (4 29)          64 with value (4 45)
% 1.00/1.21  ;   114 with value (4 13)         25 with value (4 30)          16 with value (4 46)
% 1.00/1.21  ;    96 with value (4 14)         13 with value (4 31)          17 with value (4 47)
% 1.00/1.21  ;    55 with value (4 15)         13 with value (4 32)          39 with value (4 48)
% 1.00/1.21  ;    21 with value (4 16)         14 with value (4 33)           7 with value (4 49)
% 1.00/1.21  ;    23 with value (4 17)         11 with value (4 34)           9 with value (4 51)
% 1.00/1.21  ;    20 with value (4 18)         14 with value (4 35)          20 with value (4 53)
% 1.00/1.21  ;     8 with value (4 19)          9 with value (4 36)           6 with value (4 54)
% 1.00/1.21  ;    21 with value (4 20)         28 with value (4 37)          28 with value (4 58)
% 1.00/1.21  ;    10 with value (4 21)         13 with value (4 38)           6 with value (4 59)
% 1.00/1.21  ;    21 with value (4 22)         38 with value (4 39)          24 with value (4 63)
% 1.00/1.21  ;    20 with value (4 23)         38 with value (4 40)           6 with value (4 64)
% 1.00/1.21  ;    20 with value (4 24)         38 with value (4 41)           6 with value (4 68)
% 1.00/1.21  ;    28 with value (4 25)
% 1.00/1.21  Evaluation took:
% 1.00/1.21    0.738 seconds of real time
% 1.00/1.21    0.708028 seconds of user run time
% 1.00/1.21    0.027121 seconds of system run time
% 1.00/1.21    [Run times include 0.035 seconds GC run time.]
% 1.00/1.21    0 calls to %EVAL
% 1.00/1.21    0 page faults and
% 1.00/1.21    57,655,320 bytes consed.
% 1.00/1.21  :PROOF-FOUND
% 1.00/1.21  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T21:55:43
% 1.00/1.21  :PROOF-FOUND
% 1.00/1.21  * 
%------------------------------------------------------------------------------