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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC386+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Tue Jul 19 21:58:35 EDT 2022

% Result   : Theorem 0.36s 0.62s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   24 (   9 unt;  11 nHn;  24 RR)
%            Number of literals    :   43 (  21 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(114,axiom,
    ( ~ ssItem(X)
    | ~ memberP(nil,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,plain,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[194,192,theory(equality)]) ).

cnf(196,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV50' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV48' ),
    inference('REWRITE',[status(thm)],[196,193,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[198,192,193,theory(equality)]) ).

cnf(202,negated_conjecture,
    ( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(203,plain,
    ( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[202,192,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV50' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(205,plain,
    ( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV48' ),
    inference('REWRITE',[status(thm)],[204,193,192,theory(equality)]) ).

cnf(207,negated_conjecture,
    ( nil = 'SKOLEMAAAV49'
    | ~ ssItem(X)
    | cons(X,nil) != 'SKOLEMAAAV48'
    | ~ memberP('SKOLEMAAAV49',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(208,negated_conjecture,
    ( nil != 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV49',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(397,plain,
    ~ neq(nil,nil),
    inference('UR-RESOLVE',[status(thm)],[81,84,84,theory(equality)]) ).

cnf(477,plain,
    nil = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[207,195,199,203]) ).

cnf(479,plain,
    ( memberP(nil,'SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV48' ),
    inference('REWRITE',[status(thm)],[205,477,theory(equality)]) ).

cnf(480,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[208,397,477,theory(equality)]) ).

cnf(481,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[197,480]) ).

cnf(519,plain,
    memberP(nil,'SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[479,480]) ).

cnf(524,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[114,481]),519]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC386+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 20:36:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T20:36:12
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-12T20:36:12
% 0.36/0.62  
% 0.36/0.62  
% 0.36/0.62  #||
% 0.36/0.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.62  % SZS output start Refutation
% See solution above
% 0.36/0.62  ||#
% 0.36/0.62  
% 0.36/0.62  ; Summary of computation:
% 0.36/0.62  ;       896 formulas have been input or derived (from 144 formulas).
% 0.36/0.62  ;       524 (58%) were retained.  Of these,
% 0.36/0.62  ;          232 (44%) were simplified or subsumed later,
% 0.36/0.62  ;          292 (56%) are still being kept.
% 0.36/0.62  ; 
% 0.36/0.62  ; Run time in seconds excluding printing time:
% 0.36/0.62  ;     0.026  17%   Read assertion file          (1 call)
% 0.36/0.62  ;     0.007   5%   Assert                       (96 calls)
% 0.36/0.62  ;     0.028  19%   Process new row              (818 calls)
% 0.36/0.62  ;     0.028  19%   Resolution                   (286 calls)
% 0.36/0.62  ;     0.000   0%   Paramodulation               (143 calls)
% 0.36/0.62  ;     0.000   0%   Factoring                    (7 calls)
% 0.36/0.62  ;     0.003   2%   Condensing                   (359 calls)
% 0.36/0.62  ;     0.004   3%   Forward subsumption          (359 calls)
% 0.36/0.62  ;     0.005   3%   Backward subsumption         (349 calls)
% 0.36/0.62  ;     0.000   0%   Clause clause subsumption    (93 calls)
% 0.36/0.62  ;     0.013   9%   Forward simplification       (815 calls)
% 0.36/0.62  ;     0.008   5%   Backward simplification      (518 calls)
% 0.36/0.62  ;     0.000   0%   Ordering                     (400 calls)
% 0.36/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.36/0.62  ;     0.026  17%   Other
% 0.36/0.62  ;     0.149        Total
% 0.36/0.62  ;     0.151        Real time
% 0.36/0.62  ; 
% 0.36/0.62  ; Term-hash-array has 749 terms in all.
% 0.36/0.62  ; Feature-vector-row-index has 180 entries (343 at peak, 349 added, 169 deleted).
% 0.36/0.62  ; Feature-vector-row-index has 610 nodes (1,157 at peak, 1,174 added, 564 deleted).
% 0.36/0.62  ;  Retrieved 175 possibly forward subsuming rows in 359 calls.
% 0.36/0.62  ;  Retrieved 117 possibly backward subsumed rows in 349 calls.
% 0.36/0.62  ; Path-index has 472 entries (710 at peak, 799 added, 327 deleted).
% 0.36/0.62  ; Path-index has 1,093 nodes (1,318 at peak, 1,386 added, 293 deleted).
% 0.36/0.62  ; Trie-index has 472 entries (710 at peak, 799 added, 327 deleted).
% 0.36/0.62  ; Trie-index has 1,180 nodes (1,499 at peak, 1,638 added, 458 deleted).
% 0.36/0.62  ; Retrieved 329 generalization terms in 1,585 calls.
% 0.36/0.62  ; Retrieved 168 instance terms in 168 calls.
% 0.36/0.62  ; Retrieved 49,762 unifiable terms in 2,592 calls.
% 0.36/0.62  ; 
% 0.36/0.62  ; The agenda of rows to process has 46 entries:
% 0.36/0.62  ;     6 with value 5               4 with value 8                8 with value 10
% 0.36/0.62  ;    18 with value 7               6 with value 9                4 with value 13
% 0.36/0.62  ; The agenda of input rows to give has 62 entries:
% 0.36/0.62  ;     3 with value 4               2 with value 23               1 with value 29
% 0.36/0.62  ;     1 with value 7               3 with value 24               1 with value 32
% 0.36/0.62  ;     2 with value 19              8 with value 25               1 with value 35
% 0.36/0.62  ;    11 with value 20              3 with value 26               3 with value 40
% 0.36/0.62  ;     9 with value 21              6 with value 27               3 with value 44
% 0.36/0.62  ;     5 with value 22
% 0.36/0.62  ; The agenda of rows to give has 97 entries:
% 0.36/0.62  ;     8 with value (4 4)          23 with value (4 7)            9 with value (4 10)
% 0.36/0.62  ;    32 with value (4 5)           5 with value (4 8)            6 with value (4 11)
% 0.36/0.62  ;     2 with value (4 6)           4 with value (4 9)            8 with value (4 13)
% 0.36/0.62  Evaluation took:
% 0.36/0.62    0.151 seconds of real time
% 0.36/0.62    0.139456 seconds of user run time
% 0.36/0.62    0.011633 seconds of system run time
% 0.36/0.62    0 calls to %EVAL
% 0.36/0.62    0 page faults and
% 0.36/0.62    11,000,456 bytes consed.
% 0.36/0.62  :PROOF-FOUND
% 0.36/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T20:36:12
% 0.36/0.62  :PROOF-FOUND
% 0.36/0.62  * 
%------------------------------------------------------------------------------