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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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  : 300s
% DateTime : Sun Apr  6 10:09:20 AM UTC 2025

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (   7 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   17 (  17 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   0 sgn   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(40,axiom,
    ! [X: general,Y: general,Z: general,U: general] :
      ( ( X != Y )
      | ( Z != Y )
      | ~ hp(Z)
      | ( U != Y )
      | ~ tq(U)
      | hq(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).

tff(42,negated_conjecture,
    'SKOLEMAAAV3.general' = 'SKOLEMAAAV4.general',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).

tff(49,negated_conjecture,
    ( ( 'SKOLEMAAAV5.general' = 'SKOLEMAAAV4.general' )
    | ~ tq('SKOLEMAAAV3.general') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).

tff(50,plain,
    ( ( 'SKOLEMAAAV5.general' = 'SKOLEMAAAV3.general' )
    | ~ tq('SKOLEMAAAV3.general') ),
    inference('REWRITE',[status(thm)],[49,42,theory(equality)]) ).

tff(55,negated_conjecture,
    ( hp('SKOLEMAAAV5.general')
    | ~ tq('SKOLEMAAAV3.general') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).

tff(56,negated_conjecture,
    tq('SKOLEMAAAV3.general'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).

tff(60,negated_conjecture,
    ( ~ hq('SKOLEMAAAV3.general')
    | ~ tq('SKOLEMAAAV3.general') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).

tff(61,plain,
    ~ hq('SKOLEMAAAV3.general'),
    inference('REWRITE',[status(thm)],[60,56]) ).

tff(62,plain,
    'SKOLEMAAAV5.general' = 'SKOLEMAAAV3.general',
    inference('REWRITE',[status(thm)],[50,56]) ).

tff(65,plain,
    hp('SKOLEMAAAV3.general'),
    inference('REWRITE',[status(thm)],[55,62,56,theory(equality)]) ).

cnf(86,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[40,65,56,61,theory(equality),theory(equality),theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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  : 300
% 0.13/0.34  % DateTime : Sun Apr  6 03:07:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:07:20
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2025-04-06T03:07:20
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       222 formulas have been input or derived (from 47 formulas).
% 0.20/0.53  ;        86 (39%) were retained.  Of these,
% 0.20/0.53  ;           19 (22%) were simplified or subsumed later,
% 0.20/0.53  ;           67 (78%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.007  15%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   4%   Assert                       (19 calls)
% 0.20/0.53  ;     0.004   8%   Process new row              (130 calls)
% 0.20/0.53  ;     0.002   4%   Resolution                   (92 calls)
% 0.20/0.53  ;     0.001   2%   Paramodulation               (46 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (6 calls)
% 0.20/0.53  ;     0.002   4%   Condensing                   (63 calls)
% 0.20/0.53  ;     0.000   0%   Forward subsumption          (63 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (53 calls)
% 0.20/0.53  ;     0.001   2%   Clause clause subsumption    (11 calls)
% 0.20/0.53  ;     0.005  10%   Forward simplification       (130 calls)
% 0.20/0.53  ;     0.001   2%   Backward simplification      (79 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (80 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (54 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.023  48%   Other
% 0.20/0.53  ;     0.048        Total
% 0.20/0.53  ;     0.049        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 78 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 41 entries (42 at peak, 53 added, 12 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 89 nodes (110 at peak, 147 added, 58 deleted).
% 0.20/0.53  ;  Retrieved 21 possibly forward subsuming rows in 63 calls.
% 0.20/0.53  ;  Retrieved 0 possibly backward subsumed rows in 53 calls.
% 0.20/0.53  ; Path-index has 80 entries (80 at peak, 87 added, 7 deleted).
% 0.20/0.53  ; Path-index has 118 nodes (118 at peak, 125 added, 7 deleted).
% 0.20/0.53  ; Trie-index has 80 entries (80 at peak, 87 added, 7 deleted).
% 0.20/0.53  ; Trie-index has 118 nodes (118 at peak, 127 added, 9 deleted).
% 0.20/0.53  ; Retrieved 69 generalization terms in 83 calls.
% 0.20/0.53  ; Retrieved 36 instance terms in 25 calls.
% 0.20/0.53  ; Retrieved 1,800 unifiable terms in 554 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 47 entries:
% 0.20/0.53  ;    36 with value 4              11 with value 5
% 0.20/0.53  ; The agenda of input rows to give has 1 entry:
% 0.20/0.53  ;     1 with value 21
% 0.20/0.53  ; The agenda of rows to give has 19 entries:
% 0.20/0.53  ;     1 with value (4 4)           4 with value (4 7)            2 with value (4 12)
% 0.20/0.53  ;     3 with value (4 5)           2 with value (4 8)            3 with value (4 13)
% 0.20/0.53  ;     2 with value (4 6)           1 with value (4 9)            1 with value (4 20)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.051 seconds of real time
% 0.20/0.53    0.042568 seconds of user run time
% 0.20/0.53    0.007708 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,833,016 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:07:20
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------