TSTP Solution File: SWC010-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC010-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 21:56:21 EDT 2022

% Result   : Unsatisfiable 80.90s 81.09s
% Output   : Refutation 80.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  16 RR)
%            Number of literals    :   30 (  10 equ;  16 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_16,negated_conjecture,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(Y,cons(X,nil)),Z) != sk2
    | app(Y,Z) != sk1
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(191,plain,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(Y,cons(X,nil)),Z) != sk2
    | app(Y,Z) != sk1 ),
    inference('REWRITE',[status(thm)],[co1_16,co1_7,co1_5,theory(equality)]) ).

cnf(co1_17,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(193,plain,
    ssItem(sk5),
    inference('REWRITE',[status(thm)],[co1_17,co1_7,co1_5,theory(equality)]) ).

cnf(co1_18,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(195,plain,
    ssList(sk6),
    inference('REWRITE',[status(thm)],[co1_18,co1_7,co1_5,theory(equality)]) ).

cnf(co1_19,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

cnf(197,plain,
    ssList(sk7),
    inference('REWRITE',[status(thm)],[co1_19,co1_7,co1_5,theory(equality)]) ).

cnf(co1_20,negated_conjecture,
    ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

cnf(199,plain,
    app(app(sk6,cons(sk5,nil)),sk7) = sk2,
    inference('REWRITE',[status(thm)],[co1_20,co1_7,co1_5,theory(equality)]) ).

cnf(co1_21,negated_conjecture,
    ( app(sk6,sk7) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).

cnf(201,plain,
    app(sk6,sk7) = sk1,
    inference('REWRITE',[status(thm)],[co1_21,co1_7,co1_5,co1_6,theory(equality)]) ).

cnf(64731,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[191,193,195,197,199,201]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC010-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.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 07:42:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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)
% 0.19/0.48   (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 2022-06-12T07:42:01
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-12T07:42:01
% 80.90/81.09  
% 80.90/81.09  
% 80.90/81.09  #||
% 80.90/81.09  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 80.90/81.09  % SZS output start Refutation
% See solution above
% 80.90/81.09  ||#
% 80.90/81.09  
% 80.90/81.09  ; Summary of computation:
% 80.90/81.09  ;    129727 formulas have been input or derived (from 182 formulas).
% 80.90/81.09  ;     64731 (50%) were retained.  Of these,
% 80.90/81.09  ;         2847 ( 4%) were simplified or subsumed later,
% 80.90/81.09  ;        61884 (96%) are still being kept.
% 80.90/81.09  ; 
% 80.90/81.09  ; Run time in seconds excluding printing time:
% 80.90/81.09  ;     0.039   0%   Read assertion file          (1 call)
% 80.90/81.09  ;     0.006   0%   Assert                       (207 calls)
% 80.90/81.09  ;     6.733   8%   Process new row              (124,603 calls)
% 80.90/81.09  ;    65.386  81%   Resolution                   (362 calls)
% 80.90/81.09  ;     0.061   0%   Paramodulation               (181 calls)
% 80.90/81.09  ;     0.032   0%   Condensing                   (3,698 calls)
% 80.90/81.09  ;     0.072   0%   Forward subsumption          (3,698 calls)
% 80.90/81.09  ;     0.227   0%   Backward subsumption         (3,662 calls)
% 80.90/81.09  ;     0.003   0%   Clause clause subsumption    (1,458 calls)
% 80.90/81.09  ;     2.484   3%   Forward simplification       (124,603 calls)
% 80.90/81.09  ;     4.371   5%   Backward simplification      (64,724 calls)
% 80.90/81.09  ;     0.769   1%   Ordering                     (125,858 calls)
% 80.90/81.09  ;     0.000   0%   Sortal reasoning             (32 calls)
% 80.90/81.09  ;     0.000   0%   Purity testing               (1 call)
% 80.90/81.09  ;     0.423   1%   Other
% 80.90/81.09  ;    80.606        Total
% 80.90/81.09  ;    80.607        Real time
% 80.90/81.09  ; 
% 80.90/81.09  ; Term-hash-array has 172,750 terms in all.
% 80.90/81.09  ; Feature-vector-row-index has 3,615 entries (3,615 at peak, 3,662 added, 47 deleted).
% 80.90/81.09  ; Feature-vector-row-index has 5,742 nodes (5,742 at peak, 6,086 added, 344 deleted).
% 80.90/81.09  ;  Retrieved 12,473 possibly forward subsuming rows in 3,698 calls.
% 80.90/81.09  ;  Retrieved 11,838 possibly backward subsumed rows in 3,662 calls.
% 80.90/81.09  ; Path-index has 168,742 entries (168,742 at peak, 172,845 added, 4,103 deleted).
% 80.90/81.09  ; Path-index has 8,940 nodes (8,940 at peak, 9,507 added, 567 deleted).
% 80.90/81.09  ; Trie-index has 168,742 entries (168,742 at peak, 172,845 added, 4,103 deleted).
% 80.90/81.09  ; Trie-index has 801,317 nodes (801,317 at peak, 813,050 added, 11,733 deleted).
% 80.90/81.09  ; Retrieved 113,471 generalization terms in 658,391 calls.
% 80.90/81.09  ; Retrieved 107,742 instance terms in 106,259 calls.
% 80.90/81.09  ; Retrieved 227,837,615 unifiable terms in 4,842,989 calls.
% 80.90/81.09  ; 
% 80.90/81.09  ; The agenda of rows to process has 25 entries:
% 80.90/81.09  ;     3 with value 4              15 with value 16               1 with value 27
% 80.90/81.09  ;     1 with value 8               1 with value 21               1 with value 38
% 80.90/81.09  ;     3 with value 14
% 80.90/81.09  ; The agenda of input rows to give has 14 entries:
% 80.90/81.09  ;     7 with value 32              1 with value 35               3 with value 44
% 80.90/81.09  ;     1 with value 33              2 with value 40
% 80.90/81.09  ; The agenda of rows to give has 61689 entries:
% 80.90/81.09  ;    56 with value (4 5)        1829 with value (4 15)        7495 with value (4 25)
% 80.90/81.09  ;     2 with value (4 6)        1183 with value (4 16)        2502 with value (4 26)
% 80.90/81.09  ;   121 with value (4 7)        2549 with value (4 17)        3908 with value (4 27)
% 80.90/81.09  ;   192 with value (4 8)        3205 with value (4 18)         222 with value (4 28)
% 80.90/81.09  ;   333 with value (4 9)         246 with value (4 19)         576 with value (4 29)
% 80.90/81.09  ;   561 with value (4 10)       6897 with value (4 20)           2 with value (4 30)
% 80.90/81.09  ;   422 with value (4 11)        763 with value (4 21)           1 with value (4 31)
% 80.90/81.09  ;   258 with value (4 12)      14070 with value (4 22)          21 with value (4 33)
% 80.90/81.09  ;   987 with value (4 13)       2865 with value (4 23)           6 with value (4 39)
% 80.90/81.09  ;   703 with value (4 14)       9714 with value (4 24)
% 80.90/81.09  Evaluation took:
% 80.90/81.09    80.611 seconds of real time
% 80.90/81.09    79.266205 seconds of user run time
% 80.90/81.09    1.345145 seconds of system run time
% 80.90/81.09    [Run times include 10.29 seconds GC run time.]
% 80.90/81.09    0 calls to %EVAL
% 80.90/81.09    0 page faults and
% 80.90/81.09    6,183,234,072 bytes consed.
% 80.90/81.09  :PROOF-FOUND
% 80.90/81.09  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:43:21
% 80.90/81.09  :PROOF-FOUND
% 80.90/81.09  * 
%------------------------------------------------------------------------------