TSTP Solution File: SWC206+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC206+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 21:57:33 EDT 2022

% Result   : Theorem 0.42s 0.63s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   19 (  13 unt;   1 nHn;  19 RR)
%            Number of literals    :   30 (   7 equ;  13 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   :    5 (   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(82,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(138,axiom,
    ( ~ ssList(X)
    | ~ segmentP(nil,X)
    | nil = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).

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

cnf(198,negated_conjecture,
    ( ssList('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ssList('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[198,194,192,theory(equality)]) ).

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

cnf(201,plain,
    neq('SKOLEMAAAV52',nil),
    inference('REWRITE',[status(thm)],[200,194,192,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( segmentP('SKOLEMAAAV50','SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(205,plain,
    segmentP('SKOLEMAAAV48','SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[204,194,192,193,theory(equality)]) ).

cnf(421,plain,
    nil != 'SKOLEMAAAV52',
    inference('UR-RESOLVE',[status(thm)],[81,199,84,201]) ).

cnf(438,plain,
    nil = 'SKOLEMAAAV48',
    inference('UR-RESOLVE',[status(thm)],[82,188,84,195]) ).

cnf(440,plain,
    segmentP(nil,'SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[205,438,theory(equality)]) ).

cnf(445,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[138,440,199]),421]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC206+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n019.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 00:10:10 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T00:10:10
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-12T00:10:10
% 0.42/0.63  
% 0.42/0.63  
% 0.42/0.63  #||
% 0.42/0.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.63  % SZS output start Refutation
% See solution above
% 0.42/0.63  ||#
% 0.42/0.63  
% 0.42/0.63  ; Summary of computation:
% 0.42/0.63  ;       669 formulas have been input or derived (from 110 formulas).
% 0.42/0.63  ;       445 (67%) were retained.  Of these,
% 0.42/0.63  ;           87 (20%) were simplified or subsumed later,
% 0.42/0.63  ;          358 (80%) are still being kept.
% 0.42/0.63  ; 
% 0.42/0.63  ; Run time in seconds excluding printing time:
% 0.42/0.63  ;     0.026  20%   Read assertion file          (1 call)
% 0.42/0.63  ;     0.008   6%   Assert                       (96 calls)
% 0.42/0.63  ;     0.036  28%   Process new row              (656 calls)
% 0.42/0.63  ;     0.013  10%   Resolution                   (218 calls)
% 0.42/0.63  ;     0.000   0%   Paramodulation               (109 calls)
% 0.42/0.63  ;     0.002   2%   Condensing                   (308 calls)
% 0.42/0.63  ;     0.004   3%   Forward subsumption          (308 calls)
% 0.42/0.63  ;     0.002   2%   Backward subsumption         (307 calls)
% 0.42/0.63  ;     0.001   1%   Clause clause subsumption    (66 calls)
% 0.42/0.63  ;     0.005   4%   Forward simplification       (649 calls)
% 0.42/0.63  ;     0.003   2%   Backward simplification      (440 calls)
% 0.42/0.63  ;     0.000   0%   Ordering                     (218 calls)
% 0.42/0.63  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.42/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.42/0.63  ;     0.027  21%   Other
% 0.42/0.63  ;     0.129        Total
% 0.42/0.63  ;     0.130        Real time
% 0.42/0.63  ; 
% 0.42/0.63  ; Term-hash-array has 730 terms in all.
% 0.42/0.63  ; Feature-vector-row-index has 251 entries (305 at peak, 307 added, 56 deleted).
% 0.42/0.63  ; Feature-vector-row-index has 780 nodes (902 at peak, 908 added, 128 deleted).
% 0.42/0.63  ;  Retrieved 121 possibly forward subsuming rows in 308 calls.
% 0.42/0.63  ;  Retrieved 92 possibly backward subsumed rows in 307 calls.
% 0.42/0.63  ; Path-index has 613 entries (729 at peak, 763 added, 150 deleted).
% 0.42/0.63  ; Path-index has 1,194 nodes (1,305 at peak, 1,333 added, 139 deleted).
% 0.42/0.63  ; Trie-index has 613 entries (729 at peak, 763 added, 150 deleted).
% 0.42/0.63  ; Trie-index has 1,241 nodes (1,374 at peak, 1,409 added, 168 deleted).
% 0.42/0.63  ; Retrieved 223 generalization terms in 1,076 calls.
% 0.42/0.63  ; Retrieved 132 instance terms in 132 calls.
% 0.42/0.63  ; Retrieved 23,855 unifiable terms in 1,261 calls.
% 0.42/0.63  ; 
% 0.42/0.63  ; The agenda of input rows to give has 91 entries:
% 0.42/0.63  ;    10 with value 14              9 with value 21               6 with value 27
% 0.42/0.63  ;     3 with value 15              5 with value 22               1 with value 29
% 0.42/0.63  ;     9 with value 16              2 with value 23               1 with value 32
% 0.42/0.63  ;     4 with value 17              3 with value 24               1 with value 35
% 0.42/0.63  ;     7 with value 18              8 with value 25               3 with value 40
% 0.42/0.63  ;     2 with value 19              3 with value 26               3 with value 44
% 0.42/0.63  ;    11 with value 20
% 0.42/0.63  ; The agenda of rows to give has 162 entries:
% 0.42/0.63  ;    35 with value (4 5)          24 with value (4 7)           70 with value (4 9)
% 0.42/0.63  ;    12 with value (4 6)          15 with value (4 8)            6 with value (4 11)
% 0.42/0.63  Evaluation took:
% 0.42/0.63    0.13 seconds of real time
% 0.42/0.63    0.114774 seconds of user run time
% 0.42/0.63    0.015741 seconds of system run time
% 0.42/0.63    0 calls to %EVAL
% 0.42/0.63    0 page faults and
% 0.42/0.63    8,233,784 bytes consed.
% 0.42/0.63  :PROOF-FOUND
% 0.42/0.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T00:10:10
% 0.42/0.63  :PROOF-FOUND
% 0.42/0.63  * 
%------------------------------------------------------------------------------