TSTP Solution File: NUM618+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM618+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 14:12:16 EDT 2022

% Result   : Theorem 18.27s 18.45s
% Output   : Refutation 18.27s
% 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('SKOLEMAAAU25'(X),szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

cnf(192,hypothesis,
    ( ~ aElementOf0(X,xO)
    | sdtlpdtrp0(xe,'SKOLEMAAAU25'(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

cnf(215,hypothesis,
    aElementOf0(xx,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).

cnf(216,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | xx != sdtlpdtrp0(xe,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(314,plain,
    aElementOf0('SKOLEMAAAU25'(xx),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[190,215]) ).

cnf(343,plain,
    sdtlpdtrp0(xe,'SKOLEMAAAU25'(xx)) = xx,
    inference('HYPERRESOLVE',[status(thm)],[192,215]) ).

cnf(18231,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[216,314]),343,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM618+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 14:27:28 EDT 2022
% 0.12/0.34  % 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 2022-07-06T14:27:28
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-06T14:27:28
% 18.27/18.45  
% 18.27/18.45  
% 18.27/18.45  #||
% 18.27/18.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.27/18.45  % SZS output start Refutation
% See solution above
% 18.27/18.45  ||#
% 18.27/18.45  
% 18.27/18.45  ; Summary of computation:
% 18.27/18.45  ;     23081 formulas have been input or derived (from 356 formulas).
% 18.27/18.45  ;     18231 (79%) were retained.  Of these,
% 18.27/18.45  ;          660 ( 4%) were simplified or subsumed later,
% 18.27/18.45  ;        17571 (96%) are still being kept.
% 18.27/18.45  ; 
% 18.27/18.45  ; Run time in seconds:
% 18.27/18.45  ;     0.028   0%   Read assertion file          (1 call)
% 18.27/18.45  ;     0.006   0%   Assert                       (115 calls)
% 18.27/18.45  ;     1.847  10%   Process new row              (22,252 calls)
% 18.27/18.45  ;    10.730  60%   Resolution                   (710 calls)
% 18.27/18.45  ;     0.010   0%   Paramodulation               (355 calls)
% 18.27/18.45  ;     0.025   0%   Condensing                   (15,622 calls)
% 18.27/18.45  ;     3.378  19%   Forward subsumption          (15,622 calls)
% 18.27/18.45  ;     1.184   7%   Backward subsumption         (15,029 calls)
% 18.27/18.45  ;     0.026   0%   Clause clause subsumption    (7,033 calls)
% 18.27/18.45  ;     0.465   3%   Forward simplification       (22,252 calls)
% 18.27/18.45  ;     0.132   1%   Backward simplification      (18,228 calls)
% 18.27/18.45  ;     0.040   0%   Ordering                     (40,421 calls)
% 18.27/18.45  ;     0.000   0%   Sortal reasoning             (32 calls)
% 18.27/18.45  ;     0.001   0%   Purity testing               (1 call)
% 18.27/18.45  ;     0.108   1%   Other
% 18.27/18.45  ;    17.980        Total
% 18.27/18.45  ;    17.980        Real time
% 18.27/18.45  ; 
% 18.27/18.46  ; Term-hash-array has 44,438 terms in all.
% 18.27/18.46  ; Feature-vector-row-index has 14,434 entries (14,434 at peak, 15,029 added, 595 deleted).
% 18.27/18.46  ; Feature-vector-row-index has 101,670 nodes (101,670 at peak, 104,173 added, 2,503 deleted).
% 18.27/18.46  ;  Retrieved 15,282 possibly forward subsuming rows in 15,622 calls.
% 18.27/18.46  ;  Retrieved 10,054 possibly backward subsumed rows in 15,029 calls.
% 18.27/18.46  ; Path-index has 44,251 entries (44,251 at peak, 45,528 added, 1,277 deleted).
% 18.27/18.46  ; Path-index has 4,202 nodes (4,202 at peak, 4,283 added, 81 deleted).
% 18.27/18.46  ; Trie-index has 44,251 entries (44,251 at peak, 45,528 added, 1,277 deleted).
% 18.27/18.46  ; Trie-index has 85,282 nodes (85,282 at peak, 87,345 added, 2,063 deleted).
% 18.27/18.46  ; Retrieved 7,572 generalization terms in 105,376 calls.
% 18.27/18.46  ; Retrieved 3,203 instance terms in 3,198 calls.
% 18.27/18.46  ; Retrieved 37,679,203 unifiable terms in 308,683 calls.
% 18.27/18.46  ; 
% 18.27/18.46  ; The agenda of rows to process has 439 entries:
% 18.27/18.46  ;    16 with value 11              1 with value 26              40 with value 39
% 18.27/18.46  ;    12 with value 12              6 with value 28               7 with value 40
% 18.27/18.46  ;     7 with value 13             56 with value 31              25 with value 41
% 18.27/18.46  ;     2 with value 14              5 with value 32               7 with value 42
% 18.27/18.46  ;     8 with value 15             49 with value 34              10 with value 43
% 18.27/18.46  ;    12 with value 16             75 with value 35               5 with value 44
% 18.27/18.46  ;    12 with value 18              1 with value 36               5 with value 45
% 18.27/18.46  ;     4 with value 19             35 with value 37               1 with value 47
% 18.27/18.46  ;     1 with value 21             35 with value 38               1 with value 48
% 18.27/18.46  ;     1 with value 22
% 18.27/18.46  ; The agenda of rows to give has 17215 entries:
% 18.27/18.46  ;    79 with value (4 7)         211 with value (4 23)         357 with value (4 38)
% 18.27/18.46  ;   269 with value (4 8)         550 with value (4 24)         654 with value (4 39)
% 18.27/18.46  ;   521 with value (4 9)         581 with value (4 25)         378 with value (4 40)
% 18.27/18.46  ;   738 with value (4 10)        338 with value (4 26)         539 with value (4 41)
% 18.27/18.46  ;   625 with value (4 11)        213 with value (4 27)         376 with value (4 42)
% 18.27/18.46  ;   448 with value (4 12)        273 with value (4 28)         411 with value (4 43)
% 18.27/18.46  ;   168 with value (4 13)         59 with value (4 29)         168 with value (4 44)
% 18.27/18.46  ;    83 with value (4 14)        953 with value (4 30)          56 with value (4 45)
% 18.27/18.46  ;   126 with value (4 15)       1089 with value (4 31)          44 with value (4 46)
% 18.27/18.46  ;   142 with value (4 16)        479 with value (4 32)         536 with value (4 47)
% 18.27/18.46  ;   332 with value (4 17)        875 with value (4 33)          56 with value (4 48)
% 18.27/18.46  ;   231 with value (4 18)       1004 with value (4 34)          23 with value (4 51)
% 18.27/18.46  ;    98 with value (4 19)        980 with value (4 35)         188 with value (4 52)
% 18.27/18.46  ;   150 with value (4 20)        477 with value (4 36)          10 with value (4 53)
% 18.27/18.46  ;   324 with value (4 21)        804 with value (4 37)          40 with value (4 57)
% 18.27/18.46  ;   159 with value (4 22)
% 18.27/18.46  Evaluation took:
% 18.27/18.46    17.992 seconds of real time
% 18.27/18.46    17.463636 seconds of user run time
% 18.27/18.46    0.527358 seconds of system run time
% 18.27/18.46    [Run times include 2.032 seconds GC run time.]
% 18.27/18.46    0 calls to %EVAL
% 18.27/18.46    0 page faults and
% 18.27/18.46    1,195,895,664 bytes consed.
% 18.27/18.46  :PROOF-FOUND
% 18.27/18.46  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T14:27:46
% 18.27/18.46  :PROOF-FOUND
% 18.27/18.46  * 
%------------------------------------------------------------------------------