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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 : n031.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 10:09:24 AM UTC 2025

% Result   : Theorem 0.48s 0.65s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   71 (  12 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   40 (  40 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    6 (   0 sgn   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(40,axiom,
    ! [X: general,Y: general,Z: general,U: general,V: general,W: general] :
      ( ( X != Y )
      | ( Z != U )
      | ( V != Y )
      | ~ hp(V)
      | ( W != U )
      | ~ hp(W)
      | ~ tq(X,Z)
      | hq(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2_right_0) ).

tff(43,negated_conjecture,
    'SKOLEMAAAV3.general' = 'SKOLEMAAAV5.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(44,negated_conjecture,
    'SKOLEMAAAV4.general' = 'SKOLEMAAAV6.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(55,negated_conjecture,
    ( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(56,plain,
    ( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    inference('REWRITE',[status(thm)],[55,43,theory(equality)]) ).

tff(64,negated_conjecture,
    ( hp('SKOLEMAAAV7.general')
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(75,negated_conjecture,
    ( ( 'SKOLEMAAAV8.general' = 'SKOLEMAAAV6.general' )
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(76,plain,
    ( ( 'SKOLEMAAAV8.general' = 'SKOLEMAAAV4.general' )
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    inference('REWRITE',[status(thm)],[75,44,theory(equality)]) ).

tff(84,negated_conjecture,
    ( hp('SKOLEMAAAV8.general')
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(85,negated_conjecture,
    tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(92,negated_conjecture,
    ( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
    | ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_left_0) ).

tff(93,plain,
    ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general'),
    inference('REWRITE',[status(thm)],[92,85]) ).

tff(94,plain,
    'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general',
    inference('REWRITE',[status(thm)],[56,85]) ).

tff(99,plain,
    hp('SKOLEMAAAV3.general'),
    inference('REWRITE',[status(thm)],[64,94,85,theory(equality)]) ).

tff(100,plain,
    'SKOLEMAAAV8.general' = 'SKOLEMAAAV4.general',
    inference('REWRITE',[status(thm)],[76,85]) ).

tff(105,plain,
    hp('SKOLEMAAAV4.general'),
    inference('REWRITE',[status(thm)],[84,100,85,theory(equality)]) ).

cnf(127,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[40,99,105,85,93,theory(equality),theory(equality),theory(equality),theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Apr  6 03:12:07 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.23/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49  * 
% 0.23/0.49  * 
% 0.23/0.50  #<PACKAGE "SNARK-USER">
% 0.23/0.50  * 
% 0.23/0.50  SNARK-TPTP-OPTIONS
% 0.23/0.50  * 
% 0.23/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.50   (USE-FACTORING :POS)
% 0.23/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.50  * 
% 0.23/0.50  "."
% 0.23/0.50  * 
% 0.23/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T03:12:07
% 0.23/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n031.cluster.edu at 2025-04-06T03:12:07
% 0.23/0.53  WARNING: In quantification, variable ?Z_g is being rebound.
% 0.23/0.53  WARNING: In quantification, variable ?Z_g is being rebound.
% 0.23/0.53  WARNING: In quantification, variable ?Z_g is being rebound.
% 0.23/0.53  WARNING: In quantification, variable ?Z_g is being rebound.
% 0.23/0.53  WARNING: In quantification, variable ?Z_g is being rebound.
% 0.23/0.53  WARNING: In quantification, variable ?Z_g is being rebound.
% 0.48/0.65  
% 0.48/0.65  
% 0.48/0.65  #||
% 0.48/0.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.65  % SZS output start Refutation
% See solution above
% 0.48/0.65  ||#
% 0.48/0.65  
% 0.48/0.65  ; Summary of computation:
% 0.48/0.65  ;       595 formulas have been input or derived (from 50 formulas).
% 0.48/0.65  ;       127 (21%) were retained.  Of these,
% 0.48/0.65  ;           55 (43%) were simplified or subsumed later,
% 0.48/0.65  ;           72 (57%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds excluding printing time:
% 0.48/0.65  ;     0.011   8%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.004   3%   Assert                       (20 calls)
% 0.48/0.65  ;     0.007   5%   Process new row              (185 calls)
% 0.48/0.65  ;     0.080  58%   Resolution                   (98 calls)
% 0.48/0.65  ;     0.000   0%   Paramodulation               (49 calls)
% 0.48/0.65  ;     0.000   0%   Factoring                    (6 calls)
% 0.48/0.65  ;     0.006   4%   Condensing                   (88 calls)
% 0.48/0.65  ;     0.002   1%   Forward subsumption          (88 calls)
% 0.48/0.65  ;     0.000   0%   Backward subsumption         (78 calls)
% 0.48/0.65  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.48/0.65  ;     0.002   1%   Forward simplification       (185 calls)
% 0.48/0.65  ;     0.002   1%   Backward simplification      (108 calls)
% 0.48/0.65  ;     0.000   0%   Ordering                     (90 calls)
% 0.48/0.65  ;     0.000   0%   Sortal reasoning             (70 calls)
% 0.48/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.65  ;     0.024  17%   Other
% 0.48/0.65  ;     0.139        Total
% 0.48/0.65  ;     0.151        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 103 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 42 entries (59 at peak, 78 added, 36 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 92 nodes (147 at peak, 203 added, 111 deleted).
% 0.48/0.65  ;  Retrieved 24 possibly forward subsuming rows in 88 calls.
% 0.48/0.65  ;  Retrieved 0 possibly backward subsumed rows in 78 calls.
% 0.48/0.65  ; Path-index has 105 entries (105 at peak, 119 added, 14 deleted).
% 0.48/0.65  ; Path-index has 134 nodes (134 at peak, 148 added, 14 deleted).
% 0.48/0.65  ; Trie-index has 105 entries (105 at peak, 119 added, 14 deleted).
% 0.48/0.65  ; Trie-index has 131 nodes (131 at peak, 149 added, 18 deleted).
% 0.48/0.65  ; Retrieved 79 generalization terms in 100 calls.
% 0.48/0.65  ; Retrieved 40 instance terms in 29 calls.
% 0.48/0.65  ; Retrieved 47,685 unifiable terms in 19,843 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of rows to process has 307 entries:
% 0.48/0.65  ;    95 with value 4             212 with value 5
% 0.48/0.65  ; The agenda of input rows to give has 2 entries:
% 0.48/0.65  ;     2 with value 57
% 0.48/0.65  ; The agenda of rows to give has 20 entries:
% 0.48/0.65  ;     2 with value (4 4)           4 with value (4 7)            2 with value (4 12)
% 0.48/0.65  ;     3 with value (4 5)           2 with value (4 8)            3 with value (4 13)
% 0.48/0.65  ;     2 with value (4 6)           1 with value (4 9)            1 with value (4 20)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.152 seconds of real time
% 0.48/0.65    0.125813 seconds of user run time
% 0.48/0.65    0.01611 seconds of system run time
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    7,096,056 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T03:12:07
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------