TSTP Solution File: SWC001+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 21:56:18 EDT 2022

% Result   : Theorem 0.45s 0.61s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (   8 unt;   2 nHn;  17 RR)
%            Number of literals    :   32 (   2 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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,
    duplicatefreeP('SKOLEMAAAV50'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,plain,
    duplicatefreeP('SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[194,193,theory(equality)]) ).

cnf(196,negated_conjecture,
    ( ~ ssItem(X)
    | memberP('SKOLEMAAAV51',X)
    | ~ memberP('SKOLEMAAAV50',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( ~ ssItem(X)
    | memberP('SKOLEMAAAV49',X)
    | ~ memberP('SKOLEMAAAV48',X) ),
    inference('REWRITE',[status(thm)],[196,193,192,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( ~ ssItem(X)
    | memberP('SKOLEMAAAV50',X)
    | ~ memberP('SKOLEMAAAV51',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ( ~ ssItem(X)
    | memberP('SKOLEMAAAV48',X)
    | ~ memberP('SKOLEMAAAV49',X) ),
    inference('REWRITE',[status(thm)],[198,192,193,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ duplicatefreeP('SKOLEMAAAV48') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[200,195]) ).

cnf(202,negated_conjecture,
    ( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
    | memberP('SKOLEMAAAV48','SKOLEMAAAV52')
    | ~ duplicatefreeP('SKOLEMAAAV48') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(203,plain,
    ( memberP('SKOLEMAAAV49','SKOLEMAAAV52')
    | memberP('SKOLEMAAAV48','SKOLEMAAAV52') ),
    inference('REWRITE',[status(thm)],[202,195]) ).

cnf(204,negated_conjecture,
    ( ~ memberP('SKOLEMAAAV49','SKOLEMAAAV52')
    | ~ memberP('SKOLEMAAAV48','SKOLEMAAAV52')
    | ~ duplicatefreeP('SKOLEMAAAV48') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(205,plain,
    ( ~ memberP('SKOLEMAAAV49','SKOLEMAAAV52')
    | ~ memberP('SKOLEMAAAV48','SKOLEMAAAV52') ),
    inference('REWRITE',[status(thm)],[204,195]) ).

cnf(322,plain,
    memberP('SKOLEMAAAV48','SKOLEMAAAV52'),
    inference('HYPERRESOLVE',[status(thm)],[199,201,203]) ).

cnf(323,plain,
    ~ memberP('SKOLEMAAAV49','SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[205,322]) ).

cnf(324,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[197,323,201]),322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 08:53:51 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T08:53:52
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-12T08:53:52
% 0.45/0.61  
% 0.45/0.61  
% 0.45/0.61  #||
% 0.45/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.61  % SZS output start Refutation
% See solution above
% 0.45/0.61  ||#
% 0.45/0.61  
% 0.45/0.61  ; Summary of computation:
% 0.45/0.61  ;       429 formulas have been input or derived (from 84 formulas).
% 0.45/0.61  ;       324 (76%) were retained.  Of these,
% 0.45/0.61  ;           10 ( 3%) were simplified or subsumed later,
% 0.45/0.61  ;          314 (97%) are still being kept.
% 0.45/0.61  ; 
% 0.45/0.61  ; Run time in seconds excluding printing time:
% 0.45/0.61  ;     0.027  23%   Read assertion file          (1 call)
% 0.45/0.61  ;     0.008   7%   Assert                       (96 calls)
% 0.45/0.61  ;     0.024  21%   Process new row              (420 calls)
% 0.45/0.61  ;     0.012  10%   Resolution                   (166 calls)
% 0.45/0.61  ;     0.000   0%   Paramodulation               (83 calls)
% 0.45/0.61  ;     0.000   0%   Factoring                    (1 call)
% 0.45/0.61  ;     0.001   1%   Condensing                   (243 calls)
% 0.45/0.61  ;     0.003   3%   Forward subsumption          (243 calls)
% 0.45/0.61  ;     0.009   8%   Backward subsumption         (242 calls)
% 0.45/0.61  ;     0.000   0%   Clause clause subsumption    (58 calls)
% 0.45/0.61  ;     0.009   8%   Forward simplification       (420 calls)
% 0.45/0.61  ;     0.000   0%   Backward simplification      (318 calls)
% 0.45/0.61  ;     0.000   0%   Ordering                     (107 calls)
% 0.45/0.61  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.45/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.45/0.61  ;     0.022  19%   Other
% 0.45/0.61  ;     0.117        Total
% 0.45/0.61  ;     0.118        Real time
% 0.45/0.61  ; 
% 0.45/0.61  ; Term-hash-array has 537 terms in all.
% 0.45/0.61  ; Feature-vector-row-index has 240 entries (242 at peak, 242 added, 2 deleted).
% 0.45/0.61  ; Feature-vector-row-index has 747 nodes (758 at peak, 758 added, 11 deleted).
% 0.45/0.61  ;  Retrieved 115 possibly forward subsuming rows in 243 calls.
% 0.45/0.61  ;  Retrieved 85 possibly backward subsumed rows in 242 calls.
% 0.45/0.61  ; Path-index has 543 entries (543 at peak, 546 added, 3 deleted).
% 0.45/0.61  ; Path-index has 1,140 nodes (1,140 at peak, 1,142 added, 2 deleted).
% 0.45/0.61  ; Trie-index has 543 entries (543 at peak, 546 added, 3 deleted).
% 0.45/0.61  ; Trie-index has 1,153 nodes (1,153 at peak, 1,156 added, 3 deleted).
% 0.45/0.61  ; Retrieved 103 generalization terms in 685 calls.
% 0.45/0.61  ; Retrieved 75 instance terms in 75 calls.
% 0.45/0.61  ; Retrieved 7,863 unifiable terms in 636 calls.
% 0.45/0.61  ; 
% 0.45/0.61  ; The agenda of input rows to give has 115 entries:
% 0.45/0.61  ;     8 with value 12              2 with value 19               3 with value 26
% 0.45/0.61  ;    12 with value 13             11 with value 20               6 with value 27
% 0.45/0.61  ;    14 with value 14              9 with value 21               1 with value 29
% 0.45/0.61  ;     3 with value 15              5 with value 22               1 with value 32
% 0.45/0.61  ;     9 with value 16              2 with value 23               1 with value 35
% 0.45/0.61  ;     4 with value 17              3 with value 24               3 with value 40
% 0.45/0.61  ;     7 with value 18              8 with value 25               3 with value 44
% 0.45/0.61  ; The agenda of rows to give has 117 entries:
% 0.45/0.61  ;    28 with value (4 5)           5 with value (4 8)           63 with value (4 9)
% 0.45/0.61  ;    21 with value (4 7)
% 0.45/0.61  Evaluation took:
% 0.45/0.61    0.119 seconds of real time
% 0.45/0.61    0.108777 seconds of user run time
% 0.45/0.61    0.010043 seconds of system run time
% 0.45/0.61    0 calls to %EVAL
% 0.45/0.61    0 page faults and
% 0.45/0.61    6,776,200 bytes consed.
% 0.45/0.61  :PROOF-FOUND
% 0.45/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T08:53:52
% 0.45/0.61  :PROOF-FOUND
% 0.45/0.61  * 
%------------------------------------------------------------------------------