TSTP Solution File: SWC122-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC122-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 21:57:01 EDT 2022

% Result   : Unsatisfiable 54.45s 54.62s
% Output   : Refutation 54.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   22 (  15 unt;   0 nHn;  20 RR)
%            Number of literals    :   37 (  10 equ;  18 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause50,axiom,
    ssList(skaf46(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).

cnf(clause73,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(clause131,axiom,
    ( ~ rearsegP(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X)
    | app(skaf46(X,Y),Y) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(clause149,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(Z,Y),X) = app(Z,app(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).

cnf(clause173,axiom,
    ( app(app(X,Y),Z) != U
    | ~ ssList(Z)
    | ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(U)
    | segmentP(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

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

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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_9,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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(197,plain,
    ~ segmentP(sk2,sk1),
    inference('REWRITE',[status(thm)],[co1_9,194]) ).

cnf(592,plain,
    app(sk1,nil) = sk1,
    inference('HYPERRESOLVE',[status(thm)],[clause73,co1_1]) ).

cnf(9311,plain,
    app(skaf46(sk2,sk1),sk1) = sk2,
    inference('HYPERRESOLVE',[status(thm)],[clause131,196,co1_1,co1_2]) ).

cnf(12108,plain,
    app(app(skaf46(X,Y),sk1),nil) = app(skaf46(X,Y),sk1),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause149,clause8,co1_1,clause50]),592,theory(equality)]) ).

cnf(54451,plain,
    app(skaf46(X,Y),sk1) != sk2,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause173,clause8,clause50,co1_1,co1_2,197]),12108,theory(equality)]) ).

cnf(54452,plain,
    $false,
    inference('REWRITE',[status(thm)],[9311,54451]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC122-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n012.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 04:03:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T04:03:26
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-12T04:03:26
% 54.45/54.62  
% 54.45/54.62  
% 54.45/54.62  #||
% 54.45/54.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.45/54.62  % SZS output start Refutation
% See solution above
% 54.45/54.62  ||#
% 54.45/54.62  
% 54.45/54.62  ; Summary of computation:
% 54.45/54.62  ;    109687 formulas have been input or derived (from 176 formulas).
% 54.45/54.62  ;     54452 (50%) were retained.  Of these,
% 54.45/54.62  ;         2524 ( 5%) were simplified or subsumed later,
% 54.45/54.62  ;        51928 (95%) are still being kept.
% 54.45/54.62  ; 
% 54.45/54.62  ; Run time in seconds excluding printing time:
% 54.45/54.62  ;     0.036   0%   Read assertion file          (1 call)
% 54.45/54.62  ;     0.006   0%   Assert                       (196 calls)
% 54.45/54.62  ;     5.007   9%   Process new row              (104,481 calls)
% 54.45/54.62  ;    42.310  78%   Resolution                   (350 calls)
% 54.45/54.62  ;     0.039   0%   Paramodulation               (175 calls)
% 54.45/54.62  ;     0.032   0%   Condensing                   (3,172 calls)
% 54.45/54.62  ;     0.064   0%   Forward subsumption          (3,172 calls)
% 54.45/54.62  ;     0.144   0%   Backward subsumption         (3,143 calls)
% 54.45/54.62  ;     0.002   0%   Clause clause subsumption    (1,282 calls)
% 54.45/54.62  ;     1.942   4%   Forward simplification       (104,481 calls)
% 54.45/54.62  ;     3.358   6%   Backward simplification      (54,449 calls)
% 54.45/54.62  ;     0.860   2%   Ordering                     (111,697 calls)
% 54.45/54.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 54.45/54.62  ;     0.001   0%   Purity testing               (1 call)
% 54.45/54.62  ;     0.354   1%   Other
% 54.45/54.62  ;    54.155        Total
% 54.45/54.62  ;    54.155        Real time
% 54.45/54.62  ; 
% 54.45/54.62  ; Term-hash-array has 143,948 terms in all.
% 54.45/54.62  ; Feature-vector-row-index has 3,092 entries (3,094 at peak, 3,143 added, 51 deleted).
% 54.45/54.62  ; Feature-vector-row-index has 4,031 nodes (4,037 at peak, 4,397 added, 366 deleted).
% 54.45/54.62  ;  Retrieved 11,904 possibly forward subsuming rows in 3,172 calls.
% 54.45/54.62  ;  Retrieved 11,283 possibly backward subsumed rows in 3,143 calls.
% 54.45/54.62  ; Path-index has 140,393 entries (140,396 at peak, 144,044 added, 3,651 deleted).
% 54.45/54.62  ; Path-index has 7,360 nodes (7,366 at peak, 7,917 added, 557 deleted).
% 54.45/54.62  ; Trie-index has 140,393 entries (140,396 at peak, 144,044 added, 3,651 deleted).
% 54.45/54.62  ; Trie-index has 682,353 nodes (682,362 at peak, 693,142 added, 10,789 deleted).
% 54.45/54.62  ; Retrieved 95,305 generalization terms in 535,344 calls.
% 54.45/54.62  ; Retrieved 94,892 instance terms in 93,587 calls.
% 54.45/54.62  ; Retrieved 141,971,434 unifiable terms in 3,198,313 calls.
% 54.45/54.62  ; 
% 54.45/54.62  ; The agenda of rows to process has 731 entries:
% 54.45/54.62  ;   443 with value 14            252 with value 15              36 with value 16
% 54.45/54.62  ; The agenda of input rows to give has 17 entries:
% 54.45/54.62  ;     1 with value 26              7 with value 32               2 with value 40
% 54.45/54.62  ;     1 with value 27              1 with value 33               3 with value 44
% 54.45/54.62  ;     1 with value 29              1 with value 35
% 54.45/54.62  ; The agenda of rows to give has 51737 entries:
% 54.45/54.62  ;    39 with value (4 5)         659 with value (4 14)       11955 with value (4 22)
% 54.45/54.62  ;     4 with value (4 6)        1616 with value (4 15)        1593 with value (4 23)
% 54.45/54.62  ;   100 with value (4 7)         681 with value (4 16)        9246 with value (4 24)
% 54.45/54.62  ;   191 with value (4 8)        2391 with value (4 17)        7119 with value (4 25)
% 54.45/54.62  ;   225 with value (4 9)        2367 with value (4 18)        2466 with value (4 26)
% 54.45/54.62  ;   584 with value (4 10)        246 with value (4 19)        3906 with value (4 27)
% 54.45/54.62  ;   395 with value (4 11)       3585 with value (4 20)         222 with value (4 28)
% 54.45/54.62  ;   261 with value (4 12)        552 with value (4 21)         576 with value (4 29)
% 54.45/54.62  ;   758 with value (4 13)
% 54.45/54.62  Evaluation took:
% 54.45/54.62    54.159 seconds of real time
% 54.45/54.62    53.02025 seconds of user run time
% 54.45/54.62    1.139708 seconds of system run time
% 54.45/54.62    [Run times include 7.363 seconds GC run time.]
% 54.45/54.62    0 calls to %EVAL
% 54.45/54.62    0 page faults and
% 54.45/54.62    4,370,038,096 bytes consed.
% 54.45/54.62  :PROOF-FOUND
% 54.45/54.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T04:04:20
% 54.45/54.62  :PROOF-FOUND
% 54.45/54.62  * 
%------------------------------------------------------------------------------