TSTP Solution File: SWC039+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 21:56:32 EDT 2022

% Result   : Theorem 0.38s 0.62s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   21 (  15 unt;   3 nHn;  21 RR)
%            Number of literals    :   32 (  17 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(96,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ssList(app(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

cnf(172,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | nil != app(X,Y)
    | nil = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

cnf(173,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | nil != app(X,Y)
    | nil = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    nil = 'SKOLEMAAAV49',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,plain,
    nil = 'SKOLEMAAAV51',
    inference('REWRITE',[status(thm)],[193,192,theory(equality)]) ).

cnf(195,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    nil != 'SKOLEMAAAV48',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,negated_conjecture,
    ( ssList('SKOLEMAAAV53')
    | nil = 'SKOLEMAAAV50' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ssList('SKOLEMAAAV53'),
    inference('REWRITE',[status(thm)],[199,196,195,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( ssList('SKOLEMAAAV54')
    | nil = 'SKOLEMAAAV50' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    ssList('SKOLEMAAAV54'),
    inference('REWRITE',[status(thm)],[201,196,195,theory(equality)]) ).

cnf(205,negated_conjecture,
    ( app(app('SKOLEMAAAV53','SKOLEMAAAV50'),'SKOLEMAAAV54') = 'SKOLEMAAAV51'
    | nil = 'SKOLEMAAAV50' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(206,plain,
    app(app('SKOLEMAAAV53','SKOLEMAAAV48'),'SKOLEMAAAV54') = nil,
    inference('REWRITE',[status(thm)],[205,196,194,195,theory(equality)]) ).

cnf(371,plain,
    ssList(app('SKOLEMAAAV53','SKOLEMAAAV48')),
    inference('HYPERRESOLVE',[status(thm)],[96,200,188]) ).

cnf(475,plain,
    nil != app('SKOLEMAAAV53','SKOLEMAAAV48'),
    inference('UR-RESOLVE',[status(thm)],[172,200,188,196]) ).

cnf(477,plain,
    nil = 'SKOLEMAAAV54',
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[172,206,theory(equality)]),202,371,theory(equality)]) ).

cnf(478,plain,
    app(app('SKOLEMAAAV53','SKOLEMAAAV48'),nil) = nil,
    inference('REWRITE',[status(thm)],[206,477,theory(equality)]) ).

cnf(480,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[173,478,theory(equality)]),475,84,371,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 17:02:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T17:02:57
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-12T17:02:57
% 0.38/0.62  
% 0.38/0.62  
% 0.38/0.62  #||
% 0.38/0.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.62  % SZS output start Refutation
% See solution above
% 0.38/0.62  ||#
% 0.38/0.62  
% 0.38/0.62  ; Summary of computation:
% 0.38/0.62  ;       853 formulas have been input or derived (from 136 formulas).
% 0.38/0.62  ;       480 (56%) were retained.  Of these,
% 0.38/0.62  ;          103 (21%) were simplified or subsumed later,
% 0.38/0.62  ;          377 (79%) are still being kept.
% 0.38/0.62  ; 
% 0.38/0.62  ; Run time in seconds excluding printing time:
% 0.38/0.62  ;     0.027  18%   Read assertion file          (1 call)
% 0.38/0.62  ;     0.008   5%   Assert                       (96 calls)
% 0.38/0.62  ;     0.020  14%   Process new row              (836 calls)
% 0.38/0.62  ;     0.024  16%   Resolution                   (270 calls)
% 0.38/0.62  ;     0.004   3%   Paramodulation               (135 calls)
% 0.38/0.62  ;     0.003   2%   Condensing                   (290 calls)
% 0.38/0.62  ;     0.008   5%   Forward subsumption          (290 calls)
% 0.38/0.62  ;     0.004   3%   Backward subsumption         (286 calls)
% 0.38/0.62  ;     0.002   1%   Clause clause subsumption    (82 calls)
% 0.38/0.62  ;     0.016  11%   Forward simplification       (836 calls)
% 0.38/0.63  ;     0.002   1%   Backward simplification      (472 calls)
% 0.38/0.63  ;     0.001   1%   Ordering                     (232 calls)
% 0.38/0.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.38/0.63  ;     0.026  18%   Other
% 0.38/0.63  ;     0.146        Total
% 0.38/0.63  ;     0.148        Real time
% 0.38/0.63  ; 
% 0.38/0.63  ; Term-hash-array has 774 terms in all.
% 0.38/0.63  ; Feature-vector-row-index has 232 entries (286 at peak, 286 added, 54 deleted).
% 0.38/0.63  ; Feature-vector-row-index has 756 nodes (878 at peak, 878 added, 122 deleted).
% 0.38/0.63  ;  Retrieved 131 possibly forward subsuming rows in 290 calls.
% 0.38/0.63  ;  Retrieved 94 possibly backward subsumed rows in 286 calls.
% 0.38/0.63  ; Path-index has 620 entries (772 at peak, 786 added, 166 deleted).
% 0.38/0.63  ; Path-index has 1,189 nodes (1,317 at peak, 1,332 added, 143 deleted).
% 0.38/0.63  ; Trie-index has 620 entries (772 at peak, 786 added, 166 deleted).
% 0.38/0.63  ; Trie-index has 1,316 nodes (1,509 at peak, 1,530 added, 214 deleted).
% 0.38/0.63  ; Retrieved 417 generalization terms in 1,559 calls.
% 0.38/0.63  ; Retrieved 185 instance terms in 185 calls.
% 0.38/0.63  ; Retrieved 47,628 unifiable terms in 2,509 calls.
% 0.38/0.63  ; 
% 0.38/0.63  ; The agenda of input rows to give has 65 entries:
% 0.38/0.63  ;     7 with value 18              2 with value 23               1 with value 29
% 0.38/0.63  ;     2 with value 19              3 with value 24               1 with value 32
% 0.38/0.63  ;    11 with value 20              8 with value 25               1 with value 35
% 0.38/0.63  ;     9 with value 21              3 with value 26               3 with value 40
% 0.38/0.63  ;     5 with value 22              6 with value 27               3 with value 44
% 0.38/0.63  ; The agenda of rows to give has 179 entries:
% 0.38/0.63  ;     8 with value (4 4)          22 with value (4 8)            5 with value (4 11)
% 0.38/0.63  ;    44 with value (4 5)          42 with value (4 9)            2 with value (4 12)
% 0.38/0.63  ;     2 with value (4 6)          22 with value (4 10)           2 with value (4 15)
% 0.38/0.63  ;    30 with value (4 7)
% 0.38/0.63  Evaluation took:
% 0.38/0.63    0.148 seconds of real time
% 0.38/0.63    0.128846 seconds of user run time
% 0.38/0.63    0.019209 seconds of system run time
% 0.38/0.63    0 calls to %EVAL
% 0.38/0.63    0 page faults and
% 0.38/0.63    9,682,848 bytes consed.
% 0.38/0.63  :PROOF-FOUND
% 0.38/0.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T17:02:57
% 0.38/0.63  :PROOF-FOUND
% 0.38/0.63  * 
%------------------------------------------------------------------------------