TSTP Solution File: SWC047+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC047+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 21:56:35 EDT 2022

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  10 unt;   2 nHn;  18 RR)
%            Number of literals    :   33 (  12 equ;  15 neg)
%            Maximal clause size   :    5 (   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   :    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(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(128,axiom,
    ( ~ ssList(X)
    | rearsegP(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).

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,
    'SKOLEMAAAV51' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,plain,
    'SKOLEMAAAV49' = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[194,193,192,theory(equality)]) ).

cnf(196,negated_conjecture,
    ( nil = 'SKOLEMAAAV49'
    | neq('SKOLEMAAAV49',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( nil = 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV48',nil) ),
    inference('REWRITE',[status(thm)],[196,195,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( nil = 'SKOLEMAAAV49'
    | ~ ssList(X)
    | ~ neq(X,nil)
    | ~ rearsegP('SKOLEMAAAV49',X)
    | ~ rearsegP('SKOLEMAAAV48',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ( nil = 'SKOLEMAAAV48'
    | ~ ssList(X)
    | ~ neq(X,nil)
    | ~ rearsegP('SKOLEMAAAV48',X) ),
    inference('REWRITE',[status(thm)],[198,195,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( nil != 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV49',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ( nil != 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV48',nil) ),
    inference('REWRITE',[status(thm)],[200,195,theory(equality)]) ).

cnf(212,plain,
    rearsegP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[128,188]) ).

cnf(298,plain,
    ~ neq(nil,nil),
    inference('UR-RESOLVE',[status(thm)],[81,84,84,theory(equality)]) ).

cnf(409,plain,
    nil = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[199,212,188,197]) ).

cnf(412,plain,
    $false,
    inference('REWRITE',[status(thm)],[201,298,409,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC047+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 22:49:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 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 2022-06-12T22:49:08
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-12T22:49:08
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  #||
% 0.54/0.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75  % SZS output start Refutation
% See solution above
% 0.54/0.75  ||#
% 0.54/0.75  
% 0.54/0.75  ; Summary of computation:
% 0.54/0.75  ;       895 formulas have been input or derived (from 204 formulas).
% 0.54/0.75  ;       412 (46%) were retained.  Of these,
% 0.54/0.75  ;          161 (39%) were simplified or subsumed later,
% 0.54/0.75  ;          251 (61%) are still being kept.
% 0.54/0.75  ; 
% 0.54/0.75  ; Run time in seconds excluding printing time:
% 0.54/0.75  ;     0.026  10%   Read assertion file          (1 call)
% 0.54/0.75  ;     0.009   3%   Assert                       (96 calls)
% 0.54/0.75  ;     0.034  13%   Process new row              (697 calls)
% 0.54/0.75  ;     0.137  51%   Resolution                   (406 calls)
% 0.54/0.75  ;     0.004   1%   Paramodulation               (203 calls)
% 0.54/0.75  ;     0.000   0%   Factoring                    (1 call)
% 0.54/0.75  ;     0.008   3%   Condensing                   (239 calls)
% 0.54/0.75  ;     0.003   1%   Forward subsumption          (239 calls)
% 0.54/0.75  ;     0.005   2%   Backward subsumption         (237 calls)
% 0.54/0.75  ;     0.001   0%   Clause clause subsumption    (64 calls)
% 0.54/0.75  ;     0.007   3%   Forward simplification       (697 calls)
% 0.54/0.75  ;     0.007   3%   Backward simplification      (407 calls)
% 0.54/0.75  ;     0.001   0%   Ordering                     (226 calls)
% 0.54/0.75  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.54/0.75  ;     0.001   0%   Purity testing               (1 call)
% 0.54/0.75  ;     0.027  10%   Other
% 0.54/0.75  ;     0.270        Total
% 0.54/0.75  ;     0.272        Real time
% 0.54/0.75  ; 
% 0.54/0.75  ; Term-hash-array has 699 terms in all.
% 0.54/0.75  ; Feature-vector-row-index has 175 entries (237 at peak, 237 added, 62 deleted).
% 0.54/0.75  ; Feature-vector-row-index has 599 nodes (921 at peak, 921 added, 322 deleted).
% 0.54/0.75  ;  Retrieved 117 possibly forward subsuming rows in 239 calls.
% 0.54/0.75  ;  Retrieved 84 possibly backward subsumed rows in 237 calls.
% 0.54/0.75  ; Path-index has 413 entries (686 at peak, 709 added, 296 deleted).
% 0.54/0.75  ; Path-index has 1,094 nodes (1,422 at peak, 1,436 added, 342 deleted).
% 0.54/0.75  ; Trie-index has 413 entries (686 at peak, 709 added, 296 deleted).
% 0.54/0.75  ; Trie-index has 1,097 nodes (2,018 at peak, 2,048 added, 951 deleted).
% 0.54/0.75  ; Retrieved 395 generalization terms in 1,711 calls.
% 0.54/0.75  ; Retrieved 169 instance terms in 169 calls.
% 0.54/0.75  ; Retrieved 286,707 unifiable terms in 10,422 calls.
% 0.54/0.75  ; 
% 0.54/0.75  ; The agenda of backward simplifiable rows to process has 130 entries:
% 0.54/0.75  ;   130 with value 0
% 0.54/0.75  ; The agenda of rows to process has 11 entries:
% 0.54/0.75  ;     5 with value 6               4 with value 9                1 with value 12
% 0.54/0.75  ;     1 with value 8
% 0.54/0.75  ; The agenda of input rows to give has 2 entries:
% 0.54/0.75  ;     2 with value 4
% 0.54/0.75  ; The agenda of rows to give has 56 entries:
% 0.54/0.75  ;    13 with value (4 5)           2 with value (4 9)            2 with value (4 13)
% 0.54/0.75  ;     1 with value (4 6)           7 with value (4 10)           2 with value (4 14)
% 0.54/0.75  ;    16 with value (4 7)           2 with value (4 11)           2 with value (4 16)
% 0.54/0.75  ;     6 with value (4 8)           3 with value (4 12)
% 0.54/0.75  Evaluation took:
% 0.54/0.75    0.272 seconds of real time
% 0.54/0.75    0.255147 seconds of user run time
% 0.54/0.75    0.017066 seconds of system run time
% 0.54/0.75    [Run times include 0.008 seconds GC run time.]
% 0.54/0.75    0 calls to %EVAL
% 0.54/0.75    0 page faults and
% 0.54/0.75    22,101,496 bytes consed.
% 0.54/0.75  :PROOF-FOUND
% 0.54/0.75  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T22:49:08
% 0.54/0.75  :PROOF-FOUND
% 0.54/0.75  * 
%------------------------------------------------------------------------------