TSTP Solution File: NUM576+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM576+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:11:50 EDT 2022

% Result   : Theorem 0.81s 1.01s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   17 (   2 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(55,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).

cnf(57,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | sdtlseqdt0(X,Y)
    | sdtlseqdt0(szszuzczcdt0(Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).

cnf(161,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).

cnf(162,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).

cnf(163,negated_conjecture,
    xi != xj,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(164,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xj),xi),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(165,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xi),xj),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(278,plain,
    sdtlseqdt0(xi,xj),
    inference('UR-RESOLVE',[status(thm)],[57,161,162,164]) ).

cnf(279,plain,
    sdtlseqdt0(xj,xi),
    inference('UR-RESOLVE',[status(thm)],[57,162,161,165]) ).

cnf(1349,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,278,161,162,163]),279]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUM576+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jul  7 20:13:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:13:37
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-07T20:13:37
% 0.81/1.01  
% 0.81/1.01  
% 0.81/1.01  #||
% 0.81/1.01  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/1.01  % SZS output start Refutation
% See solution above
% 0.81/1.01  ||#
% 0.81/1.01  
% 0.81/1.01  ; Summary of computation:
% 0.81/1.01  ;      2110 formulas have been input or derived (from 193 formulas).
% 0.81/1.01  ;      1349 (64%) were retained.  Of these,
% 0.81/1.01  ;          116 ( 9%) were simplified or subsumed later,
% 0.81/1.01  ;         1233 (91%) are still being kept.
% 0.81/1.01  ; 
% 0.81/1.01  ; Run time in seconds excluding printing time:
% 0.81/1.01  ;     0.022   4%   Read assertion file          (1 call)
% 0.81/1.01  ;     0.007   1%   Assert                       (85 calls)
% 0.81/1.01  ;     0.103  20%   Process new row              (2,002 calls)
% 0.81/1.01  ;     0.222  43%   Resolution                   (384 calls)
% 0.81/1.01  ;     0.003   1%   Paramodulation               (192 calls)
% 0.81/1.01  ;     0.003   1%   Condensing                   (891 calls)
% 0.81/1.01  ;     0.060  12%   Forward subsumption          (891 calls)
% 0.81/1.01  ;     0.020   4%   Backward subsumption         (828 calls)
% 0.81/1.01  ;     0.000   0%   Clause clause subsumption    (263 calls)
% 0.81/1.01  ;     0.029   6%   Forward simplification       (2,002 calls)
% 0.81/1.01  ;     0.009   2%   Backward simplification      (1,349 calls)
% 0.81/1.01  ;     0.002   0%   Ordering                     (1,472 calls)
% 0.81/1.01  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.81/1.01  ;     0.001   0%   Purity testing               (1 call)
% 0.81/1.01  ;     0.033   6%   Other
% 0.81/1.01  ;     0.514        Total
% 0.81/1.01  ;     0.516        Real time
% 0.81/1.01  ; 
% 0.81/1.01  ; Term-hash-array has 2,512 terms in all.
% 0.81/1.01  ; Feature-vector-row-index has 737 entries (773 at peak, 828 added, 91 deleted).
% 0.81/1.01  ; Feature-vector-row-index has 4,520 nodes (4,631 at peak, 4,972 added, 452 deleted).
% 0.81/1.01  ;  Retrieved 433 possibly forward subsuming rows in 891 calls.
% 0.81/1.01  ;  Retrieved 457 possibly backward subsumed rows in 828 calls.
% 0.81/1.01  ; Path-index has 2,483 entries (2,483 at peak, 2,672 added, 189 deleted).
% 0.81/1.01  ; Path-index has 1,619 nodes (1,619 at peak, 1,647 added, 28 deleted).
% 0.81/1.01  ; Trie-index has 2,483 entries (2,483 at peak, 2,672 added, 189 deleted).
% 0.81/1.01  ; Trie-index has 4,335 nodes (4,335 at peak, 4,632 added, 297 deleted).
% 0.81/1.01  ; Retrieved 1,103 generalization terms in 5,410 calls.
% 0.81/1.01  ; Retrieved 520 instance terms in 520 calls.
% 0.81/1.01  ; Retrieved 454,026 unifiable terms in 19,651 calls.
% 0.81/1.01  ; 
% 0.81/1.01  ; The agenda of rows to process has 7 entries:
% 0.81/1.01  ;     2 with value 6               4 with value 9                1 with value 11
% 0.81/1.01  ; The agenda of rows to give has 1040 entries:
% 0.81/1.01  ;     3 with value (4 5)          70 with value (4 17)          25 with value (4 28)
% 0.81/1.01  ;    20 with value (4 6)          38 with value (4 18)           2 with value (4 29)
% 0.81/1.01  ;    57 with value (4 7)          17 with value (4 19)           2 with value (4 31)
% 0.81/1.01  ;   119 with value (4 8)          12 with value (4 20)           2 with value (4 32)
% 0.81/1.01  ;   183 with value (4 9)           9 with value (4 21)          30 with value (4 33)
% 0.81/1.01  ;    37 with value (4 10)          4 with value (4 22)           1 with value (4 35)
% 0.81/1.01  ;    27 with value (4 11)          5 with value (4 23)           5 with value (4 37)
% 0.81/1.01  ;    21 with value (4 12)        104 with value (4 24)           2 with value (4 38)
% 0.81/1.01  ;    24 with value (4 13)         93 with value (4 25)           1 with value (4 41)
% 0.81/1.01  ;     8 with value (4 14)         40 with value (4 26)           1 with value (4 45)
% 0.81/1.01  ;    16 with value (4 15)         39 with value (4 27)           1 with value (4 51)
% 0.81/1.01  ;    22 with value (4 16)
% 0.81/1.01  Evaluation took:
% 0.81/1.01    0.517 seconds of real time
% 0.81/1.01    0.491802 seconds of user run time
% 0.81/1.01    0.024765 seconds of system run time
% 0.81/1.01    [Run times include 0.026 seconds GC run time.]
% 0.81/1.01    0 calls to %EVAL
% 0.81/1.01    0 page faults and
% 0.81/1.01    32,122,664 bytes consed.
% 0.81/1.01  :PROOF-FOUND
% 0.81/1.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:13:38
% 0.81/1.01  :PROOF-FOUND
% 0.81/1.01  * 
%------------------------------------------------------------------------------