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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 0.85s 1.00s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  10 unt;   0 nHn;  15 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(56,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ aElementOf0(Z,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,Z)
    | sdtlseqdt0(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).

cnf(77,hypothesis,
    ( ~ aElementOf0(X,xS)
    | aElementOf0(X,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

cnf(80,hypothesis,
    ( ~ aElementOf0(X,xT)
    | aElementOf0(X,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

cnf(86,hypothesis,
    aElementOf0(szmzizndt0(xS),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

cnf(87,hypothesis,
    ( ~ aElementOf0(X,xS)
    | sdtlseqdt0(szmzizndt0(xS),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

cnf(90,hypothesis,
    ( ~ aElementOf0(X,xT)
    | sdtlseqdt0(szmzizndt0(xT),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

cnf(91,hypothesis,
    aElementOf0(szmzizndt0(xT),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

cnf(92,negated_conjecture,
    aElementOf0('SKOLEMAAAU11',xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(93,negated_conjecture,
    ~ sdtlseqdt0(szmzizndt0(xS),'SKOLEMAAAU11'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(106,plain,
    aElementOf0(szmzizndt0(xS),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[77,86]) ).

cnf(107,plain,
    aElementOf0(szmzizndt0(xT),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[77,91]) ).

cnf(109,plain,
    aElementOf0('SKOLEMAAAU11',szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[80,92]) ).

cnf(124,plain,
    sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
    inference('HYPERRESOLVE',[status(thm)],[87,91]) ).

cnf(126,plain,
    sdtlseqdt0(szmzizndt0(xT),'SKOLEMAAAU11'),
    inference('HYPERRESOLVE',[status(thm)],[90,92]) ).

cnf(1487,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[56,126,106,107,109,93]),124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jul  6 15:17:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-06T15:17:37
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-06T15:17:37
% 0.20/0.50  WARNING:
% 0.20/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.85/1.00  
% 0.85/1.00  
% 0.85/1.00  #||
% 0.85/1.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.00  % SZS output start Refutation
% See solution above
% 0.85/1.00  ||#
% 0.85/1.00  
% 0.85/1.00  ; Summary of computation:
% 0.85/1.00  ;      2762 formulas have been input or derived (from 142 formulas).
% 0.85/1.00  ;      1487 (54%) were retained.  Of these,
% 0.85/1.00  ;          170 (11%) were simplified or subsumed later,
% 0.85/1.00  ;         1317 (89%) are still being kept.
% 0.85/1.00  ; 
% 0.85/1.00  ; Run time in seconds:
% 0.85/1.00  ;     0.013   2%   Read assertion file          (1 call)
% 0.85/1.00  ;     0.003   1%   Assert                       (51 calls)
% 0.85/1.00  ;     0.093  18%   Process new row              (2,576 calls)
% 0.85/1.00  ;     0.251  48%   Resolution                   (282 calls)
% 0.85/1.00  ;     0.001   0%   Paramodulation               (141 calls)
% 0.85/1.00  ;     0.001   0%   Condensing                   (775 calls)
% 0.85/1.00  ;     0.045   9%   Forward subsumption          (775 calls)
% 0.85/1.00  ;     0.036   7%   Backward subsumption         (755 calls)
% 0.85/1.00  ;     0.002   0%   Clause clause subsumption    (214 calls)
% 0.85/1.00  ;     0.031   6%   Forward simplification       (2,575 calls)
% 0.85/1.00  ;     0.018   3%   Backward simplification      (1,487 calls)
% 0.85/1.00  ;     0.000   0%   Ordering                     (1,351 calls)
% 0.85/1.00  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.85/1.00  ;     0.001   0%   Purity testing               (1 call)
% 0.85/1.00  ;     0.032   6%   Other
% 0.85/1.00  ;     0.527        Total
% 0.85/1.00  ;     0.528        Real time
% 0.85/1.00  ; 
% 0.85/1.00  ; Term-hash-array has 2,305 terms in all.
% 0.85/1.00  ; Feature-vector-row-index has 621 entries (632 at peak, 755 added, 134 deleted).
% 0.85/1.00  ; Feature-vector-row-index has 4,415 nodes (4,483 at peak, 5,075 added, 660 deleted).
% 0.85/1.00  ;  Retrieved 126 possibly forward subsuming rows in 775 calls.
% 0.85/1.00  ;  Retrieved 120 possibly backward subsumed rows in 755 calls.
% 0.85/1.00  ; Path-index has 2,249 entries (2,249 at peak, 2,516 added, 267 deleted).
% 0.85/1.00  ; Path-index has 869 nodes (869 at peak, 912 added, 43 deleted).
% 0.85/1.00  ; Trie-index has 2,249 entries (2,249 at peak, 2,516 added, 267 deleted).
% 0.85/1.00  ; Trie-index has 3,908 nodes (3,908 at peak, 4,355 added, 447 deleted).
% 0.85/1.00  ; Retrieved 1,664 generalization terms in 6,476 calls.
% 0.85/1.00  ; Retrieved 731 instance terms in 731 calls.
% 0.85/1.00  ; Retrieved 517,266 unifiable terms in 28,629 calls.
% 0.85/1.00  ; 
% 0.85/1.00  ; The agenda of rows to process has 1 entry:
% 0.85/1.00  ;     1 with value 11
% 0.85/1.00  ; The agenda of rows to give has 1175 entries:
% 0.85/1.00  ;     7 with value (4 7)          44 with value (4 16)          45 with value (4 24)
% 0.85/1.00  ;    74 with value (4 8)          72 with value (4 17)          29 with value (4 25)
% 0.85/1.00  ;   134 with value (4 9)          35 with value (4 18)           8 with value (4 26)
% 0.85/1.00  ;   126 with value (4 10)         20 with value (4 19)          56 with value (4 30)
% 0.85/1.00  ;   157 with value (4 11)          9 with value (4 20)          12 with value (4 31)
% 0.85/1.00  ;   119 with value (4 12)         60 with value (4 21)          24 with value (4 32)
% 0.85/1.00  ;    27 with value (4 13)         18 with value (4 22)          26 with value (4 33)
% 0.85/1.00  ;    15 with value (4 14)         21 with value (4 23)          20 with value (4 42)
% 0.85/1.00  ;    17 with value (4 15)
% 0.85/1.00  Evaluation took:
% 0.85/1.00    0.528 seconds of real time
% 0.85/1.00    0.498521 seconds of user run time
% 0.85/1.00    0.029515 seconds of system run time
% 0.85/1.00    [Run times include 0.017 seconds GC run time.]
% 0.85/1.00    0 calls to %EVAL
% 0.85/1.00    0 page faults and
% 0.85/1.00    34,904,240 bytes consed.
% 0.85/1.00  :PROOF-FOUND
% 0.85/1.00  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T15:17:38
% 0.85/1.00  :PROOF-FOUND
% 0.85/1.00  * 
%------------------------------------------------------------------------------