TSTP Solution File: SWC019+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC019+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 21:56:25 EDT 2022

% Result   : Theorem 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  10 unt;   1 nHn;  15 RR)
%            Number of literals    :   25 (   8 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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(82,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

cnf(118,axiom,
    ( ~ ssList(X)
    | frontsegP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).

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

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

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

cnf(196,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ frontsegP('SKOLEMAAAV49',X)
    | ~ frontsegP('SKOLEMAAAV48',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

cnf(198,negated_conjecture,
    ( nil != 'SKOLEMAAAV49'
    | nil != 'SKOLEMAAAV48' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[198,195,theory(equality)]) ).

cnf(205,plain,
    frontsegP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[118,188]) ).

cnf(298,plain,
    neq('SKOLEMAAAV48',nil),
    inference('UR-RESOLVE',[status(thm)],[82,188,84,199]) ).

cnf(399,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[197,205,188]),298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC019+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 22:18:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 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)
% 0.19/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49  * 
% 0.19/0.49  "."
% 0.19/0.49  * 
% 0.19/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T22:18:55
% 0.19/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-12T22:18:55
% 0.55/0.78  
% 0.55/0.78  
% 0.55/0.78  #||
% 0.55/0.78  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.78  % SZS output start Refutation
% See solution above
% 0.55/0.78  ||#
% 0.55/0.78  
% 0.55/0.78  ; Summary of computation:
% 0.55/0.78  ;       737 formulas have been input or derived (from 199 formulas).
% 0.55/0.78  ;       399 (54%) were retained.  Of these,
% 0.55/0.78  ;           19 ( 5%) were simplified or subsumed later,
% 0.55/0.78  ;          380 (95%) are still being kept.
% 0.55/0.78  ; 
% 0.55/0.78  ; Run time in seconds excluding printing time:
% 0.55/0.78  ;     0.029  10%   Read assertion file          (1 call)
% 0.55/0.78  ;     0.009   3%   Assert                       (96 calls)
% 0.55/0.78  ;     0.035  12%   Process new row              (694 calls)
% 0.55/0.78  ;     0.157  53%   Resolution                   (396 calls)
% 0.55/0.78  ;     0.003   1%   Paramodulation               (198 calls)
% 0.55/0.78  ;     0.005   2%   Condensing                   (221 calls)
% 0.55/0.78  ;     0.003   1%   Forward subsumption          (221 calls)
% 0.55/0.78  ;     0.006   2%   Backward subsumption         (220 calls)
% 0.55/0.78  ;     0.001   0%   Clause clause subsumption    (60 calls)
% 0.55/0.78  ;     0.015   5%   Forward simplification       (694 calls)
% 0.55/0.78  ;     0.002   1%   Backward simplification      (396 calls)
% 0.55/0.78  ;     0.001   0%   Ordering                     (177 calls)
% 0.55/0.78  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.78  ;     0.001   0%   Purity testing               (1 call)
% 0.55/0.78  ;     0.029  10%   Other
% 0.55/0.78  ;     0.296        Total
% 0.55/0.78  ;     0.299        Real time
% 0.55/0.78  ; 
% 0.55/0.78  ; Term-hash-array has 684 terms in all.
% 0.55/0.78  ; Feature-vector-row-index has 220 entries (220 at peak, 220 added, 0 deleted).
% 0.55/0.78  ; Feature-vector-row-index has 832 nodes (832 at peak, 832 added, 0 deleted).
% 0.55/0.78  ;  Retrieved 112 possibly forward subsuming rows in 221 calls.
% 0.55/0.78  ;  Retrieved 83 possibly backward subsumed rows in 220 calls.
% 0.55/0.78  ; Path-index has 671 entries (671 at peak, 692 added, 21 deleted).
% 0.55/0.78  ; Path-index has 1,403 nodes (1,403 at peak, 1,415 added, 12 deleted).
% 0.55/0.78  ; Trie-index has 671 entries (671 at peak, 692 added, 21 deleted).
% 0.55/0.78  ; Trie-index has 1,983 nodes (1,983 at peak, 2,010 added, 27 deleted).
% 0.55/0.78  ; Retrieved 431 generalization terms in 1,723 calls.
% 0.55/0.78  ; Retrieved 175 instance terms in 175 calls.
% 0.55/0.78  ; Retrieved 279,243 unifiable terms in 9,934 calls.
% 0.55/0.78  ; 
% 0.55/0.78  ; The agenda of rows to process has 13 entries:
% 0.55/0.78  ;     3 with value 6               4 with value 9                1 with value 12
% 0.55/0.78  ;     1 with value 8               4 with value 11
% 0.55/0.78  ; The agenda of rows to give has 181 entries:
% 0.55/0.78  ;    25 with value (4 5)          13 with value (4 11)           4 with value (4 17)
% 0.55/0.78  ;     4 with value (4 6)           4 with value (4 12)           8 with value (4 18)
% 0.55/0.78  ;    17 with value (4 7)          19 with value (4 13)           4 with value (4 19)
% 0.55/0.78  ;    11 with value (4 8)           4 with value (4 14)           4 with value (4 21)
% 0.55/0.78  ;    36 with value (4 9)           8 with value (4 15)           1 with value (4 22)
% 0.55/0.78  ;     9 with value (4 10)          4 with value (4 16)           6 with value (4 25)
% 0.55/0.78  Evaluation took:
% 0.55/0.78    0.3 seconds of real time
% 0.55/0.78    0.286386 seconds of user run time
% 0.55/0.78    0.012087 seconds of system run time
% 0.55/0.78    [Run times include 0.007 seconds GC run time.]
% 0.55/0.78    0 calls to %EVAL
% 0.55/0.78    0 page faults and
% 0.55/0.78    20,963,632 bytes consed.
% 0.55/0.78  :PROOF-FOUND
% 0.55/0.78  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T22:18:55
% 0.55/0.78  :PROOF-FOUND
% 0.55/0.78  * 
%------------------------------------------------------------------------------