TSTP Solution File: SWC096-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC096-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 21:56:52 EDT 2022

% Result   : Unsatisfiable 19.75s 19.98s
% Output   : Refutation 19.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            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)
    | cons(X,nil) != 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)
    | cons(X,nil) != 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,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(197,plain,
    cons(sk5,nil) = 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,sk1) = sk2,
    inference('REWRITE',[status(thm)],[co1_18,co1_7,co1_5,197,theory(equality)]) ).

cnf(56981,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[191,193,195,197]),199,197,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWC096-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 05:27:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T05:27:32
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-12T05:27:32
% 19.75/19.98  
% 19.75/19.98  
% 19.75/19.98  #||
% 19.75/19.98  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.75/19.98  % SZS output start Refutation
% See solution above
% 19.75/19.98  ||#
% 19.75/19.98  
% 19.75/19.98  ; Summary of computation:
% 19.75/19.98  ;    114173 formulas have been input or derived (from 165 formulas).
% 19.75/19.98  ;     56981 (50%) were retained.  Of these,
% 19.75/19.98  ;         2758 ( 5%) were simplified or subsumed later,
% 19.75/19.98  ;        54223 (95%) are still being kept.
% 19.75/19.98  ; 
% 19.75/19.98  ; Run time in seconds excluding printing time:
% 19.75/19.98  ;     0.038   0%   Read assertion file          (1 call)
% 19.75/19.98  ;     0.007   0%   Assert                       (203 calls)
% 19.75/19.98  ;     5.887  30%   Process new row              (110,409 calls)
% 19.75/19.98  ;     5.997  31%   Resolution                   (328 calls)
% 19.75/19.98  ;     0.003   0%   Paramodulation               (164 calls)
% 19.75/19.98  ;     0.029   0%   Condensing                   (3,392 calls)
% 19.75/19.98  ;     0.112   1%   Forward subsumption          (3,392 calls)
% 19.75/19.98  ;     0.134   1%   Backward subsumption         (3,360 calls)
% 19.75/19.98  ;     0.003   0%   Clause clause subsumption    (1,382 calls)
% 19.75/19.98  ;     2.295  12%   Forward simplification       (110,409 calls)
% 19.75/19.98  ;     4.028  21%   Backward simplification      (56,976 calls)
% 19.75/19.98  ;     0.609   3%   Ordering                     (119,054 calls)
% 19.75/19.98  ;     0.000   0%   Sortal reasoning             (32 calls)
% 19.75/19.98  ;     0.000   0%   Purity testing               (1 call)
% 19.75/19.98  ;     0.376   2%   Other
% 19.75/19.98  ;    19.518        Total
% 19.75/19.98  ;    19.521        Real time
% 19.75/19.98  ; 
% 19.75/19.98  ; Term-hash-array has 155,121 terms in all.
% 19.75/19.98  ; Feature-vector-row-index has 3,313 entries (3,313 at peak, 3,360 added, 47 deleted).
% 19.75/19.98  ; Feature-vector-row-index has 4,573 nodes (4,573 at peak, 4,915 added, 342 deleted).
% 19.75/19.98  ;  Retrieved 12,189 possibly forward subsuming rows in 3,392 calls.
% 19.75/19.98  ;  Retrieved 11,562 possibly backward subsumed rows in 3,360 calls.
% 19.75/19.98  ; Path-index has 151,238 entries (151,238 at peak, 155,217 added, 3,979 deleted).
% 19.75/19.98  ; Path-index has 7,195 nodes (7,195 at peak, 7,762 added, 567 deleted).
% 19.75/19.98  ; Trie-index has 151,238 entries (151,238 at peak, 155,217 added, 3,979 deleted).
% 19.75/19.98  ; Trie-index has 735,232 nodes (735,232 at peak, 746,772 added, 11,540 deleted).
% 19.75/19.98  ; Retrieved 97,837 generalization terms in 578,778 calls.
% 19.75/19.98  ; Retrieved 97,442 instance terms in 97,355 calls.
% 19.75/19.98  ; Retrieved 18,504,253 unifiable terms in 343,615 calls.
% 19.75/19.98  ; 
% 19.75/19.98  ; The agenda of rows to process has 31 entries:
% 19.75/19.98  ;     3 with value 11              6 with value 13               1 with value 18
% 19.75/19.98  ;    21 with value 12
% 19.75/19.98  ; The agenda of input rows to give has 29 entries:
% 19.75/19.98  ;     2 with value 24              1 with value 29               1 with value 35
% 19.75/19.98  ;     8 with value 25              7 with value 32               2 with value 40
% 19.75/19.98  ;     3 with value 26              1 with value 33               3 with value 44
% 19.75/19.98  ;     1 with value 27
% 19.75/19.98  ; The agenda of rows to give has 54030 entries:
% 19.75/19.98  ;     8 with value (4 4)         876 with value (4 13)       13014 with value (4 22)
% 19.75/19.98  ;    53 with value (4 5)         542 with value (4 14)        2229 with value (4 23)
% 19.75/19.98  ;     2 with value (4 6)        1635 with value (4 15)        9390 with value (4 24)
% 19.75/19.98  ;   106 with value (4 7)         564 with value (4 16)        7305 with value (4 25)
% 19.75/19.98  ;   197 with value (4 8)        1019 with value (4 17)        2466 with value (4 26)
% 19.75/19.98  ;   279 with value (4 9)        2059 with value (4 18)        3906 with value (4 27)
% 19.75/19.98  ;   585 with value (4 10)        138 with value (4 19)         222 with value (4 28)
% 19.75/19.98  ;   412 with value (4 11)       5589 with value (4 20)         576 with value (4 29)
% 19.75/19.98  ;   216 with value (4 12)        642 with value (4 21)
% 19.75/19.98  Evaluation took:
% 19.75/19.98    19.525 seconds of real time
% 19.75/19.98    18.49618 seconds of user run time
% 19.75/19.98    1.027793 seconds of system run time
% 19.75/19.98    [Run times include 3.234 seconds GC run time.]
% 19.75/19.98    0 calls to %EVAL
% 19.75/19.98    0 page faults and
% 19.75/19.98    1,378,999,384 bytes consed.
% 19.75/19.98  :PROOF-FOUND
% 19.75/19.98  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T05:27:52
% 19.75/19.98  :PROOF-FOUND
% 19.75/19.98  * 
%------------------------------------------------------------------------------