TSTP Solution File: NUM602+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:12:05 EDT 2022

% Result   : Theorem 5.05s 5.23s
% Output   : Refutation 5.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   3 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(190,hypothesis,
    ( ~ aElementOf0(X,xO)
    | aElementOf0('SKOLEMAAAR25'(X),szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

cnf(192,hypothesis,
    ( ~ aElementOf0(X,xO)
    | sdtlpdtrp0(xe,'SKOLEMAAAR25'(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

cnf(193,hypothesis,
    aElementOf0(xx,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).

cnf(194,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | sdtlpdtrp0(xe,X) != xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(254,plain,
    aElementOf0('SKOLEMAAAR25'(xx),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[190,193]) ).

cnf(271,plain,
    sdtlpdtrp0(xe,'SKOLEMAAAR25'(xx)) = xx,
    inference('HYPERRESOLVE',[status(thm)],[192,193]) ).

cnf(6257,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[194,254]),271,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n020.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 13:46:29 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:46:29
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T13:46:29
% 5.05/5.23  
% 5.05/5.23  
% 5.05/5.23  #||
% 5.05/5.23  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.05/5.23  % SZS output start Refutation
% See solution above
% 5.05/5.23  ||#
% 5.05/5.23  
% 5.05/5.23  ; Summary of computation:
% 5.05/5.23  ;      8403 formulas have been input or derived (from 269 formulas).
% 5.05/5.23  ;      6257 (74%) were retained.  Of these,
% 5.05/5.23  ;          190 ( 3%) were simplified or subsumed later,
% 5.05/5.23  ;         6067 (97%) are still being kept.
% 5.05/5.23  ; 
% 5.05/5.23  ; Run time in seconds excluding printing time:
% 5.05/5.23  ;     0.023   0%   Read assertion file          (1 call)
% 5.05/5.23  ;     0.005   0%   Assert                       (99 calls)
% 5.05/5.23  ;     0.717  15%   Process new row              (7,995 calls)
% 5.05/5.23  ;     2.555  54%   Resolution                   (536 calls)
% 5.05/5.23  ;     0.005   0%   Paramodulation               (268 calls)
% 5.05/5.23  ;     0.014   0%   Condensing                   (5,187 calls)
% 5.05/5.23  ;     0.839  18%   Forward subsumption          (5,187 calls)
% 5.05/5.23  ;     0.276   6%   Backward subsumption         (4,901 calls)
% 5.05/5.23  ;     0.003   0%   Clause clause subsumption    (2,062 calls)
% 5.05/5.23  ;     0.190   4%   Forward simplification       (7,995 calls)
% 5.05/5.23  ;     0.026   1%   Backward simplification      (6,255 calls)
% 5.05/5.23  ;     0.010   0%   Ordering                     (12,268 calls)
% 5.05/5.23  ;     0.000   0%   Sortal reasoning             (32 calls)
% 5.05/5.23  ;     0.001   0%   Purity testing               (1 call)
% 5.05/5.23  ;     0.066   1%   Other
% 5.05/5.23  ;     4.730        Total
% 5.05/5.23  ;     4.732        Real time
% 5.05/5.23  ; 
% 5.05/5.24  ; Term-hash-array has 14,963 terms in all.
% 5.05/5.24  ; Feature-vector-row-index has 4,750 entries (4,750 at peak, 4,901 added, 151 deleted).
% 5.05/5.24  ; Feature-vector-row-index has 37,607 nodes (37,607 at peak, 38,746 added, 1,139 deleted).
% 5.05/5.24  ;  Retrieved 2,781 possibly forward subsuming rows in 5,187 calls.
% 5.05/5.24  ;  Retrieved 1,577 possibly backward subsumed rows in 4,901 calls.
% 5.05/5.24  ; Path-index has 14,875 entries (14,875 at peak, 15,186 added, 311 deleted).
% 5.05/5.24  ; Path-index has 3,236 nodes (3,236 at peak, 3,291 added, 55 deleted).
% 5.05/5.24  ; Trie-index has 14,875 entries (14,875 at peak, 15,186 added, 311 deleted).
% 5.05/5.24  ; Trie-index has 31,192 nodes (31,192 at peak, 31,776 added, 584 deleted).
% 5.05/5.24  ; Retrieved 3,386 generalization terms in 36,361 calls.
% 5.05/5.24  ; Retrieved 1,353 instance terms in 1,353 calls.
% 5.05/5.24  ; Retrieved 7,036,660 unifiable terms in 98,075 calls.
% 5.05/5.24  ; 
% 5.05/5.24  ; The agenda of rows to process has 230 entries:
% 5.05/5.24  ;    11 with value 11              1 with value 26              20 with value 39
% 5.05/5.24  ;     8 with value 12              4 with value 28               5 with value 40
% 5.05/5.24  ;     5 with value 13             30 with value 31               9 with value 41
% 5.05/5.24  ;     5 with value 15              3 with value 32               5 with value 42
% 5.05/5.24  ;     9 with value 16             25 with value 34               6 with value 43
% 5.05/5.24  ;     6 with value 18             33 with value 35               3 with value 44
% 5.05/5.24  ;     4 with value 19              1 with value 36               3 with value 45
% 5.05/5.24  ;     1 with value 21             15 with value 37               1 with value 47
% 5.05/5.24  ;     1 with value 22             15 with value 38               1 with value 48
% 5.05/5.24  ; The agenda of rows to give has 5798 entries:
% 5.05/5.24  ;    41 with value (4 7)          59 with value (4 22)         216 with value (4 37)
% 5.05/5.24  ;   129 with value (4 8)          70 with value (4 23)         116 with value (4 38)
% 5.05/5.24  ;   194 with value (4 9)         209 with value (4 24)         225 with value (4 39)
% 5.05/5.24  ;   276 with value (4 10)        184 with value (4 25)         139 with value (4 40)
% 5.05/5.24  ;   268 with value (4 11)        108 with value (4 26)         143 with value (4 41)
% 5.05/5.24  ;   177 with value (4 12)         49 with value (4 27)         110 with value (4 42)
% 5.05/5.24  ;    66 with value (4 13)        101 with value (4 28)         140 with value (4 43)
% 5.05/5.24  ;    27 with value (4 14)         19 with value (4 29)          53 with value (4 44)
% 5.05/5.24  ;    58 with value (4 15)        324 with value (4 30)          19 with value (4 45)
% 5.05/5.24  ;    57 with value (4 16)        313 with value (4 31)          20 with value (4 46)
% 5.05/5.24  ;   109 with value (4 17)        141 with value (4 32)         186 with value (4 47)
% 5.05/5.24  ;    55 with value (4 18)        248 with value (4 33)          14 with value (4 48)
% 5.05/5.24  ;    32 with value (4 19)        303 with value (4 34)          15 with value (4 51)
% 5.05/5.24  ;    72 with value (4 20)        328 with value (4 35)          80 with value (4 52)
% 5.05/5.24  ;   136 with value (4 21)        145 with value (4 36)          24 with value (4 57)
% 5.05/5.24  Evaluation took:
% 5.05/5.24    4.738 seconds of real time
% 5.05/5.24    4.556263 seconds of user run time
% 5.05/5.24    0.181152 seconds of system run time
% 5.05/5.24    [Run times include 0.43 seconds GC run time.]
% 5.05/5.24    0 calls to %EVAL
% 5.05/5.24    0 page faults and
% 5.05/5.24    314,017,224 bytes consed.
% 5.05/5.24  :PROOF-FOUND
% 5.05/5.24  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:46:33
% 5.05/5.24  :PROOF-FOUND
% 5.05/5.24  * 
%------------------------------------------------------------------------------