TSTP Solution File: SWC023+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC023+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 21:56:26 EDT 2022

% Result   : Theorem 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (  11 unt;   8 nHn;  21 RR)
%            Number of literals    :   35 (  12 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ frontsegP('SKOLEMAAAV49',X)
    | ~ frontsegP('SKOLEMAAAV48',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( ssList('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( ssList('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[196,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( neq('SKOLEMAAAV52',nil)
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ( neq('SKOLEMAAAV52',nil)
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[200,192,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( frontsegP('SKOLEMAAAV51','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

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

cnf(208,negated_conjecture,
    ( frontsegP('SKOLEMAAAV50','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(209,plain,
    ( frontsegP('SKOLEMAAAV48','SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[208,192,193,theory(equality)]) ).

cnf(485,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(486,plain,
    ssList('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[197,485]) ).

cnf(487,plain,
    neq('SKOLEMAAAV52',nil),
    inference('REWRITE',[status(thm)],[201,485]) ).

cnf(488,plain,
    frontsegP('SKOLEMAAAV49','SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[205,485]) ).

cnf(489,plain,
    frontsegP('SKOLEMAAAV48','SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[209,485]) ).

cnf(602,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[195,486,487,488,489]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC023+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 12 06:52:34 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:52:34
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T06:52:34
% 0.47/0.63  
% 0.47/0.63  
% 0.47/0.63  #||
% 0.47/0.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64  % SZS output start Refutation
% See solution above
% 0.47/0.64  ||#
% 0.47/0.64  
% 0.47/0.64  ; Summary of computation:
% 0.47/0.64  ;       853 formulas have been input or derived (from 128 formulas).
% 0.47/0.64  ;       602 (71%) were retained.  Of these,
% 0.47/0.64  ;          154 (26%) were simplified or subsumed later,
% 0.47/0.64  ;          448 (74%) are still being kept.
% 0.47/0.64  ; 
% 0.47/0.64  ; Run time in seconds excluding printing time:
% 0.47/0.64  ;     0.026  17%   Read assertion file          (1 call)
% 0.47/0.64  ;     0.009   6%   Assert                       (96 calls)
% 0.47/0.64  ;     0.028  18%   Process new row              (835 calls)
% 0.47/0.64  ;     0.021  14%   Resolution                   (254 calls)
% 0.47/0.64  ;     0.001   1%   Paramodulation               (127 calls)
% 0.47/0.64  ;     0.000   0%   Factoring                    (8 calls)
% 0.47/0.64  ;     0.004   3%   Condensing                   (488 calls)
% 0.47/0.64  ;     0.011   7%   Forward subsumption          (488 calls)
% 0.47/0.64  ;     0.004   3%   Backward subsumption         (443 calls)
% 0.47/0.64  ;     0.000   0%   Clause clause subsumption    (229 calls)
% 0.47/0.64  ;     0.011   7%   Forward simplification       (835 calls)
% 0.47/0.64  ;     0.003   2%   Backward simplification      (594 calls)
% 0.47/0.64  ;     0.002   1%   Ordering                     (627 calls)
% 0.47/0.64  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.47/0.64  ;     0.000   0%   Purity testing               (1 call)
% 0.47/0.64  ;     0.033  21%   Other
% 0.47/0.64  ;     0.154        Total
% 0.47/0.64  ;     0.157        Real time
% 0.47/0.64  ; 
% 0.47/0.64  ; Term-hash-array has 780 terms in all.
% 0.47/0.64  ; Feature-vector-row-index has 303 entries (390 at peak, 443 added, 140 deleted).
% 0.47/0.64  ; Feature-vector-row-index has 894 nodes (1,150 at peak, 1,260 added, 366 deleted).
% 0.47/0.64  ;  Retrieved 324 possibly forward subsuming rows in 488 calls.
% 0.47/0.64  ;  Retrieved 174 possibly backward subsumed rows in 443 calls.
% 0.47/0.64  ; Path-index has 780 entries (780 at peak, 891 added, 111 deleted).
% 0.47/0.64  ; Path-index has 1,341 nodes (1,341 at peak, 1,455 added, 114 deleted).
% 0.47/0.64  ; Trie-index has 780 entries (780 at peak, 891 added, 111 deleted).
% 0.47/0.64  ; Trie-index has 1,464 nodes (1,464 at peak, 1,582 added, 118 deleted).
% 0.47/0.64  ; Retrieved 210 generalization terms in 1,539 calls.
% 0.47/0.64  ; Retrieved 150 instance terms in 150 calls.
% 0.47/0.64  ; Retrieved 33,972 unifiable terms in 1,639 calls.
% 0.47/0.64  ; 
% 0.47/0.64  ; The agenda of rows to process has 4 entries:
% 0.47/0.64  ;     1 with value 4               3 with value 5
% 0.47/0.64  ; The agenda of input rows to give has 78 entries:
% 0.47/0.64  ;     9 with value 16              5 with value 22               1 with value 29
% 0.47/0.64  ;     4 with value 17              2 with value 23               1 with value 32
% 0.47/0.64  ;     7 with value 18              3 with value 24               1 with value 35
% 0.47/0.64  ;     2 with value 19              8 with value 25               3 with value 40
% 0.47/0.64  ;    11 with value 20              3 with value 26               3 with value 44
% 0.47/0.64  ;     9 with value 21              6 with value 27
% 0.47/0.64  ; The agenda of rows to give has 250 entries:
% 0.47/0.64  ;    43 with value (4 5)          25 with value (4 8)            9 with value (4 11)
% 0.47/0.64  ;     8 with value (4 6)         110 with value (4 9)            2 with value (4 12)
% 0.47/0.64  ;    31 with value (4 7)          22 with value (4 10)
% 0.47/0.64  Evaluation took:
% 0.47/0.64    0.157 seconds of real time
% 0.47/0.64    0.131758 seconds of user run time
% 0.47/0.64    0.025018 seconds of system run time
% 0.47/0.64    0 calls to %EVAL
% 0.47/0.64    0 page faults and
% 0.47/0.64    10,429,488 bytes consed.
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:52:34
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  * 
%------------------------------------------------------------------------------