TSTP Solution File: SWC051-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC051-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 21:56:37 EDT 2022

% Result   : Unsatisfiable 0.72s 0.91s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   2 equ;   7 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   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause59,axiom,
    ( ~ ssList(X)
    | rearsegP(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause59) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

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_8,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ rearsegP(sk2,X)
    | ~ rearsegP(sk1,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_10,negated_conjecture,
    ( ~ neq(sk4,nil)
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(194,plain,
    neq(sk1,nil),
    inference('REWRITE',[status(thm)],[co1_10,co1_6,co1_7,co1_5,theory(equality)]) ).

cnf(co1_11,negated_conjecture,
    ( ~ neq(sk4,nil)
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(196,plain,
    rearsegP(sk2,sk1),
    inference('REWRITE',[status(thm)],[co1_11,co1_6,co1_7,co1_5,theory(equality)]) ).

cnf(304,plain,
    rearsegP(sk1,sk1),
    inference('HYPERRESOLVE',[status(thm)],[clause59,co1_1]) ).

cnf(5393,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[co1_8,co1_1,194,196]),304]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SWC051-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09  % Command  : run-snark %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Sat Jun 11 20:48:10 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.12/0.36  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  * 
% 0.12/0.37  * 
% 0.12/0.37  #<PACKAGE "SNARK-USER">
% 0.12/0.37  * 
% 0.12/0.38  SNARK-TPTP-OPTIONS
% 0.12/0.38  * 
% 0.12/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.38   (USE-FACTORING :POS)
% 0.12/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.38  * 
% 0.12/0.38  "."
% 0.12/0.38  * 
% 0.12/0.38  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T20:48:10
% 0.12/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-11T20:48:10
% 0.72/0.91  
% 0.72/0.91  
% 0.72/0.91  #||
% 0.72/0.91  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.91  % SZS output start Refutation
% See solution above
% 0.72/0.91  ||#
% 0.72/0.91  
% 0.72/0.91  ; Summary of computation:
% 0.72/0.91  ;      8357 formulas have been input or derived (from 120 formulas).
% 0.72/0.91  ;      5393 (65%) were retained.  Of these,
% 0.72/0.91  ;           12 ( 0%) were simplified or subsumed later,
% 0.72/0.91  ;         5381 (100%) are still being kept.
% 0.72/0.91  ; 
% 0.72/0.91  ; Run time in seconds excluding printing time:
% 0.72/0.91  ;     0.021   4%   Read assertion file          (1 call)
% 0.72/0.91  ;     0.003   1%   Assert                       (196 calls)
% 0.72/0.91  ;     0.217  40%   Process new row              (8,350 calls)
% 0.72/0.91  ;     0.136  25%   Resolution                   (238 calls)
% 0.72/0.91  ;     0.000   0%   Paramodulation               (119 calls)
% 0.72/0.91  ;     0.006   1%   Condensing                   (1,457 calls)
% 0.72/0.91  ;     0.014   3%   Forward subsumption          (1,457 calls)
% 0.72/0.91  ;     0.026   5%   Backward subsumption         (1,455 calls)
% 0.72/0.91  ;     0.002   0%   Clause clause subsumption    (1,253 calls)
% 0.72/0.91  ;     0.045   8%   Forward simplification       (8,350 calls)
% 0.72/0.91  ;     0.032   6%   Backward simplification      (5,390 calls)
% 0.72/0.91  ;     0.004   1%   Ordering                     (2,514 calls)
% 0.72/0.91  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.72/0.91  ;     0.000   0%   Purity testing               (1 call)
% 0.72/0.91  ;     0.031   6%   Other
% 0.72/0.91  ;     0.537        Total
% 0.72/0.91  ;     0.539        Real time
% 0.72/0.91  ; 
% 0.72/0.91  ; Term-hash-array has 9,254 terms in all.
% 0.72/0.91  ; Feature-vector-row-index has 1,448 entries (1,455 at peak, 1,455 added, 7 deleted).
% 0.72/0.91  ; Feature-vector-row-index has 1,115 nodes (1,152 at peak, 1,152 added, 37 deleted).
% 0.72/0.91  ;  Retrieved 6,815 possibly forward subsuming rows in 1,457 calls.
% 0.72/0.91  ;  Retrieved 6,779 possibly backward subsumed rows in 1,455 calls.
% 0.72/0.91  ; Path-index has 9,259 entries (9,259 at peak, 9,271 added, 12 deleted).
% 0.72/0.91  ; Path-index has 4,092 nodes (4,092 at peak, 4,102 added, 10 deleted).
% 0.72/0.91  ; Trie-index has 9,259 entries (9,259 at peak, 9,271 added, 12 deleted).
% 0.72/0.91  ; Trie-index has 22,897 nodes (22,897 at peak, 22,909 added, 12 deleted).
% 0.72/0.91  ; Retrieved 3,072 generalization terms in 13,191 calls.
% 0.72/0.91  ; Retrieved 3,976 instance terms in 3,934 calls.
% 0.72/0.91  ; Retrieved 369,020 unifiable terms in 8,757 calls.
% 0.72/0.91  ; 
% 0.72/0.91  ; The agenda of input rows to give has 72 entries:
% 0.72/0.91  ;     3 with value 16              5 with value 22               1 with value 29
% 0.72/0.91  ;     4 with value 17              2 with value 23               1 with value 32
% 0.72/0.92  ;     7 with value 18              3 with value 24               1 with value 33
% 0.72/0.92  ;     2 with value 19              8 with value 25               1 with value 35
% 0.72/0.92  ;    11 with value 20              3 with value 26               2 with value 40
% 0.72/0.92  ;     9 with value 21              6 with value 27               3 with value 44
% 0.72/0.92  ; The agenda of rows to give has 5190 entries:
% 0.72/0.92  ;    36 with value (4 5)         951 with value (4 10)         804 with value (4 15)
% 0.72/0.92  ;     4 with value (4 6)         757 with value (4 11)         144 with value (4 16)
% 0.72/0.92  ;   104 with value (4 7)         528 with value (4 12)         252 with value (4 17)
% 0.72/0.92  ;   192 with value (4 8)         309 with value (4 13)          48 with value (4 19)
% 0.72/0.92  ;   299 with value (4 9)         762 with value (4 14)
% 0.72/0.92  Evaluation took:
% 0.72/0.92    0.539 seconds of real time
% 0.72/0.92    0.499044 seconds of user run time
% 0.72/0.92    0.040159 seconds of system run time
% 0.72/0.92    [Run times include 0.046 seconds GC run time.]
% 0.72/0.92    0 calls to %EVAL
% 0.72/0.92    0 page faults and
% 0.72/0.92    54,676,776 bytes consed.
% 0.72/0.92  :PROOF-FOUND
% 0.72/0.92  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T20:48:10
% 0.72/0.92  :PROOF-FOUND
% 0.72/0.92  * 
%------------------------------------------------------------------------------