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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM578+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:11:52 EDT 2022

% Result   : Theorem 2.05s 2.29s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   2 nHn;   9 RR)
%            Number of literals    :   15 (   4 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2599,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).

cnf(2600,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).

cnf(2601,hypothesis,
    ( xi = xj
    | sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856_02) ).

cnf(2615,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X),Y)
    | szmzizndt0(sdtlpdtrp0(xN,Y)) != szmzizndt0(sdtlpdtrp0(xN,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2616,negated_conjecture,
    xi != xj,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2621,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2622,plain,
    ( sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference('REWRITE',[status(thm)],[2601,2616]) ).

cnf(2823,plain,
    sdtlseqdt0(szszuzczcdt0(xi),xj),
    inference('HYPERRESOLVE',[status(thm)],[2615,2600,2599,2622,2621]) ).

cnf(2827,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2615,2599,2600,2621]),2823]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM578+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n013.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 18:45:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-07T18:46:00
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-07T18:46:00
% 2.05/2.29  
% 2.05/2.29  
% 2.05/2.29  #||
% 2.05/2.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.05/2.29  % SZS output start Refutation
% See solution above
% 2.05/2.29  ||#
% 2.05/2.29  
% 2.05/2.29  ; Summary of computation:
% 2.05/2.29  ;      3286 formulas have been input or derived (from 151 formulas).
% 2.05/2.29  ;      2827 (86%) were retained.  Of these,
% 2.05/2.29  ;            4 ( 0%) were simplified or subsumed later,
% 2.05/2.29  ;         2823 (100%) are still being kept.
% 2.05/2.29  ; 
% 2.05/2.29  ; Run time in seconds:
% 2.05/2.29  ;     0.030   2%   Read assertion file          (1 call)
% 2.05/2.29  ;     0.120   7%   Assert                       (86 calls)
% 2.05/2.29  ;     0.315  18%   Process new row              (3,256 calls)
% 2.05/2.29  ;     0.214  12%   Resolution                   (300 calls)
% 2.05/2.29  ;     0.005   0%   Paramodulation               (150 calls)
% 2.05/2.29  ;     0.000   0%   Factoring                    (1 call)
% 2.05/2.29  ;     0.075   4%   Condensing                   (2,918 calls)
% 2.05/2.29  ;     0.643  36%   Forward subsumption          (2,918 calls)
% 2.05/2.29  ;     0.129   7%   Backward subsumption         (2,659 calls)
% 2.05/2.29  ;     0.022   1%   Clause clause subsumption    (2,947 calls)
% 2.05/2.29  ;     0.167   9%   Forward simplification       (3,256 calls)
% 2.05/2.29  ;     0.004   0%   Backward simplification      (2,827 calls)
% 2.05/2.29  ;     0.000   0%   Ordering                     (171 calls)
% 2.05/2.29  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.05/2.29  ;     0.015   1%   Purity testing               (1 call)
% 2.05/2.29  ;     0.047   3%   Other
% 2.05/2.29  ;     1.786        Total
% 2.05/2.29  ;     1.786        Real time
% 2.05/2.29  ; 
% 2.05/2.29  ; Term-hash-array has 728 terms in all.
% 2.05/2.29  ; Feature-vector-row-index has 2,655 entries (2,658 at peak, 2,659 added, 4 deleted).
% 2.05/2.29  ; Feature-vector-row-index has 35,723 nodes (35,739 at peak, 35,750 added, 27 deleted).
% 2.05/2.29  ;  Retrieved 4,179 possibly forward subsuming rows in 2,918 calls.
% 2.05/2.29  ;  Retrieved 51 possibly backward subsumed rows in 2,659 calls.
% 2.05/2.29  ; Path-index has 737 entries (737 at peak, 743 added, 6 deleted).
% 2.05/2.29  ; Path-index has 1,427 nodes (1,428 at peak, 1,434 added, 7 deleted).
% 2.05/2.29  ; Trie-index has 737 entries (737 at peak, 743 added, 6 deleted).
% 2.05/2.29  ; Trie-index has 1,485 nodes (1,485 at peak, 1,493 added, 8 deleted).
% 2.05/2.29  ; Retrieved 257 generalization terms in 27,958 calls.
% 2.05/2.29  ; Retrieved 167 instance terms in 167 calls.
% 2.05/2.29  ; Retrieved 105,383 unifiable terms in 5,570 calls.
% 2.05/2.29  ; 
% 2.05/2.29  ; The agenda of rows to process has 7 entries:
% 2.05/2.29  ;     2 with value 7               3 with value 25               2 with value 27
% 2.05/2.29  ; The agenda of input rows to give has 2471 entries:
% 2.05/2.29  ;     2 with value 27             36 with value 57              51 with value 86
% 2.05/2.29  ;     7 with value 28             32 with value 58              55 with value 87
% 2.05/2.29  ;     2 with value 29             27 with value 59              44 with value 88
% 2.05/2.29  ;     8 with value 30             40 with value 60              59 with value 89
% 2.05/2.29  ;     5 with value 31             37 with value 61              54 with value 90
% 2.05/2.29  ;     4 with value 32             26 with value 62              34 with value 91
% 2.05/2.29  ;     5 with value 33             28 with value 63              39 with value 92
% 2.05/2.29  ;     4 with value 34             40 with value 64              41 with value 93
% 2.05/2.29  ;     8 with value 35             39 with value 65              36 with value 94
% 2.05/2.29  ;     2 with value 36             44 with value 66              27 with value 95
% 2.05/2.29  ;     2 with value 37             39 with value 67              27 with value 96
% 2.05/2.29  ;     2 with value 38             53 with value 68              35 with value 97
% 2.05/2.29  ;     6 with value 39             62 with value 69              27 with value 98
% 2.05/2.29  ;     6 with value 40             49 with value 70              19 with value 99
% 2.05/2.29  ;     7 with value 41             59 with value 71              28 with value 100
% 2.05/2.29  ;     4 with value 42             64 with value 72              22 with value 101
% 2.05/2.29  ;     6 with value 43             72 with value 73              15 with value 102
% 2.05/2.29  ;     8 with value 44             70 with value 74              21 with value 103
% 2.05/2.29  ;     7 with value 45             58 with value 75              14 with value 104
% 2.05/2.29  ;     5 with value 46             70 with value 76              14 with value 105
% 2.05/2.29  ;    15 with value 47             68 with value 77              15 with value 106
% 2.05/2.29  ;    13 with value 48             54 with value 78              11 with value 107
% 2.05/2.29  ;    10 with value 49             52 with value 79              10 with value 108
% 2.05/2.29  ;    11 with value 50             60 with value 80               8 with value 109
% 2.05/2.29  ;    14 with value 51             59 with value 81              12 with value 110
% 2.05/2.29  ;    19 with value 52             51 with value 82               3 with value 111
% 2.05/2.29  ;    22 with value 53             43 with value 83               2 with value 112
% 2.05/2.29  ;    15 with value 54             58 with value 84               8 with value 113
% 2.05/2.29  ;    34 with value 55             59 with value 85               2 with value 116
% 2.05/2.29  ;    36 with value 56
% 2.05/2.29  ; The agenda of rows to give has 202 entries:
% 2.05/2.29  ;     9 with value (4 4)          27 with value (4 11)           1 with value (4 19)
% 2.05/2.29  ;    20 with value (4 5)          11 with value (4 12)           5 with value (4 20)
% 2.05/2.29  ;    13 with value (4 6)           6 with value (4 13)           3 with value (4 21)
% 2.05/2.29  ;    63 with value (4 7)           1 with value (4 14)           3 with value (4 22)
% 2.05/2.29  ;     8 with value (4 8)           8 with value (4 15)           1 with value (4 24)
% 2.05/2.29  ;    14 with value (4 9)           3 with value (4 17)           2 with value (4 25)
% 2.05/2.29  ;     2 with value (4 10)          2 with value (4 18)
% 2.05/2.29  Evaluation took:
% 2.05/2.29    1.79 seconds of real time
% 2.05/2.29    1.726597 seconds of user run time
% 2.05/2.29    0.063562 seconds of system run time
% 2.05/2.29    [Run times include 0.122 seconds GC run time.]
% 2.05/2.29    0 calls to %EVAL
% 2.05/2.29    0 page faults and
% 2.05/2.29    167,733,488 bytes consed.
% 2.05/2.29  :PROOF-FOUND
% 2.05/2.29  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T18:46:01
% 2.05/2.29  :PROOF-FOUND
% 2.05/2.29  * 
%------------------------------------------------------------------------------