TSTP Solution File: SWC317-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 21:58:08 EDT 2022

% Result   : Unsatisfiable 74.97s 75.18s
% Output   : Refutation 74.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   25 (  10 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   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_14,negated_conjecture,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | app(cons(X,nil),Y) != sk1
    | app(Y,cons(X,nil)) != sk2
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(191,plain,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | app(cons(X,nil),Y) != sk1
    | app(Y,cons(X,nil)) != sk2 ),
    inference('REWRITE',[status(thm)],[co1_14,co1_7,co1_5,theory(equality)]) ).

cnf(co1_15,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(193,plain,
    ssItem(sk5),
    inference('REWRITE',[status(thm)],[co1_15,co1_7,co1_5,theory(equality)]) ).

cnf(co1_16,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(195,plain,
    ssList(sk6),
    inference('REWRITE',[status(thm)],[co1_16,co1_7,co1_5,theory(equality)]) ).

cnf(co1_17,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(197,plain,
    app(cons(sk5,nil),sk6) = sk1,
    inference('REWRITE',[status(thm)],[co1_17,co1_7,co1_5,co1_6,theory(equality)]) ).

cnf(co1_18,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(199,plain,
    app(sk6,cons(sk5,nil)) = sk2,
    inference('REWRITE',[status(thm)],[co1_18,co1_7,co1_5,theory(equality)]) ).

cnf(60095,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[191,193,195,197,199]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jun 12 10:23:05 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T10:23:05
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-12T10:23:05
% 74.97/75.18  
% 74.97/75.18  
% 74.97/75.18  #||
% 74.97/75.18  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.97/75.18  % SZS output start Refutation
% See solution above
% 74.97/75.18  ||#
% 74.97/75.18  
% 74.97/75.18  ; Summary of computation:
% 74.97/75.18  ;    120325 formulas have been input or derived (from 178 formulas).
% 74.97/75.18  ;     60095 (50%) were retained.  Of these,
% 74.97/75.18  ;         2856 ( 5%) were simplified or subsumed later,
% 74.97/75.18  ;        57239 (95%) are still being kept.
% 74.97/75.18  ; 
% 74.97/75.18  ; Run time in seconds excluding printing time:
% 74.97/75.18  ;     0.038   0%   Read assertion file          (1 call)
% 74.97/75.18  ;     0.006   0%   Assert                       (203 calls)
% 74.97/75.18  ;     6.389   9%   Process new row              (115,507 calls)
% 74.97/75.18  ;    60.569  81%   Resolution                   (354 calls)
% 74.97/75.18  ;     0.053   0%   Paramodulation               (177 calls)
% 74.97/75.18  ;     0.045   0%   Condensing                   (3,469 calls)
% 74.97/75.18  ;     0.055   0%   Forward subsumption          (3,469 calls)
% 74.97/75.18  ;     0.130   0%   Backward subsumption         (3,435 calls)
% 74.97/75.18  ;     0.001   0%   Clause clause subsumption    (1,391 calls)
% 74.97/75.18  ;     2.191   3%   Forward simplification       (115,507 calls)
% 74.97/75.18  ;     3.909   5%   Backward simplification      (60,090 calls)
% 74.97/75.18  ;     0.876   1%   Ordering                     (120,630 calls)
% 74.97/75.18  ;     0.000   0%   Sortal reasoning             (32 calls)
% 74.97/75.18  ;     0.001   0%   Purity testing               (1 call)
% 74.97/75.18  ;     0.466   1%   Other
% 74.97/75.18  ;    74.729        Total
% 74.97/75.18  ;    74.725        Real time
% 74.97/75.18  ; 
% 74.97/75.18  ; Term-hash-array has 159,484 terms in all.
% 74.97/75.18  ; Feature-vector-row-index has 3,322 entries (3,322 at peak, 3,435 added, 113 deleted).
% 74.97/75.18  ; Feature-vector-row-index has 4,683 nodes (4,683 at peak, 5,390 added, 707 deleted).
% 74.97/75.18  ;  Retrieved 12,218 possibly forward subsuming rows in 3,469 calls.
% 74.97/75.18  ;  Retrieved 11,602 possibly backward subsumed rows in 3,435 calls.
% 74.97/75.18  ; Path-index has 155,447 entries (155,447 at peak, 159,620 added, 4,173 deleted).
% 74.97/75.18  ; Path-index has 8,267 nodes (8,267 at peak, 8,910 added, 643 deleted).
% 74.97/75.18  ; Trie-index has 155,447 entries (155,447 at peak, 159,620 added, 4,173 deleted).
% 74.97/75.18  ; Trie-index has 747,748 nodes (747,748 at peak, 759,970 added, 12,222 deleted).
% 74.97/75.18  ; Retrieved 112,218 generalization terms in 619,984 calls.
% 74.97/75.18  ; Retrieved 101,786 instance terms in 100,394 calls.
% 74.97/75.18  ; Retrieved 198,261,081 unifiable terms in 4,300,972 calls.
% 74.97/75.18  ; 
% 74.97/75.18  ; The agenda of rows to process has 6 entries:
% 74.97/75.18  ;     2 with value 4               2 with value 11               2 with value 21
% 74.97/75.18  ; The agenda of input rows to give has 16 entries:
% 74.97/75.18  ;     1 with value 27              1 with value 33               2 with value 40
% 74.97/75.18  ;     1 with value 29              1 with value 35               3 with value 44
% 74.97/75.18  ;     7 with value 32
% 74.97/75.18  ; The agenda of rows to give has 57046 entries:
% 74.97/75.18  ;    55 with value (4 5)         689 with value (4 14)       13737 with value (4 22)
% 74.97/75.18  ;     2 with value (4 6)        1744 with value (4 15)        1920 with value (4 23)
% 74.97/75.18  ;   113 with value (4 7)         864 with value (4 16)       10371 with value (4 24)
% 74.97/75.18  ;   191 with value (4 8)        2460 with value (4 17)        7215 with value (4 25)
% 74.97/75.18  ;   259 with value (4 9)        2501 with value (4 18)        2664 with value (4 26)
% 74.97/75.18  ;   538 with value (4 10)        425 with value (4 19)        3906 with value (4 27)
% 74.97/75.18  ;   428 with value (4 11)       4356 with value (4 20)         222 with value (4 28)
% 74.97/75.18  ;   273 with value (4 12)        661 with value (4 21)         576 with value (4 29)
% 74.97/75.18  ;   876 with value (4 13)
% 74.97/75.18  Evaluation took:
% 74.97/75.18    74.729 seconds of real time
% 74.97/75.18    73.45091 seconds of user run time
% 74.97/75.18    1.283782 seconds of system run time
% 74.97/75.18    [Run times include 10.129 seconds GC run time.]
% 74.97/75.18    0 calls to %EVAL
% 74.97/75.18    0 page faults and
% 74.97/75.18    5,766,189,712 bytes consed.
% 74.97/75.18  :PROOF-FOUND
% 74.97/75.18  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T10:24:20
% 74.97/75.18  :PROOF-FOUND
% 74.97/75.18  * 
%------------------------------------------------------------------------------