TSTP Solution File: SWC364+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC364+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 21:58:25 EDT 2022

% Result   : Theorem 12.23s 12.42s
% Output   : Refutation 12.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   20 (  13 unt;   0 nHn;  20 RR)
%            Number of literals    :   32 (   6 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(83,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ssList(cons(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(135,axiom,
    ( ~ ssList(X)
    | segmentP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

cnf(136,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | ~ segmentP(X,Y)
    | segmentP(app(app(Z,X),U),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).

cnf(175,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV50') = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV48') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[197,194,192,193,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).

cnf(218,plain,
    segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(252,plain,
    app('SKOLEMAAAV49',nil) = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(328,plain,
    ssList(cons('SKOLEMAAAV52',nil)),
    inference('HYPERRESOLVE',[status(thm)],[83,84,196]) ).

cnf(2618,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,328,188,188,84,218]),200,252,198,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC364+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % 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 10:49:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-12T10:49:33
% 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 2022-06-12T10:49:33
% 12.23/12.42  
% 12.23/12.42  
% 12.23/12.42  #||
% 12.23/12.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.23/12.42  % SZS output start Refutation
% See solution above
% 12.23/12.43  ||#
% 12.23/12.43  
% 12.23/12.43  ; Summary of computation:
% 12.23/12.43  ;     12288 formulas have been input or derived (from 274 formulas).
% 12.23/12.43  ;      2618 (21%) were retained.  Of these,
% 12.23/12.43  ;         1238 (47%) were simplified or subsumed later,
% 12.23/12.43  ;         1380 (53%) are still being kept.
% 12.23/12.43  ; 
% 12.23/12.43  ; Run time in seconds excluding printing time:
% 12.23/12.43  ;     0.027   0%   Read assertion file          (1 call)
% 12.23/12.43  ;     0.007   0%   Assert                       (96 calls)
% 12.23/12.43  ;     0.142   1%   Process new row              (7,730 calls)
% 12.23/12.43  ;    11.523  96%   Resolution                   (546 calls)
% 12.23/12.43  ;     0.004   0%   Paramodulation               (273 calls)
% 12.23/12.43  ;     0.005   0%   Condensing                   (665 calls)
% 12.23/12.43  ;     0.009   0%   Forward subsumption          (665 calls)
% 12.23/12.43  ;     0.009   0%   Backward subsumption         (519 calls)
% 12.23/12.43  ;     0.000   0%   Clause clause subsumption    (278 calls)
% 12.23/12.43  ;     0.116   1%   Forward simplification       (7,397 calls)
% 12.23/12.43  ;     0.060   1%   Backward simplification      (2,615 calls)
% 12.23/12.43  ;     0.002   0%   Ordering                     (946 calls)
% 12.23/12.43  ;     0.000   0%   Sortal reasoning             (32 calls)
% 12.23/12.43  ;     0.001   0%   Purity testing               (1 call)
% 12.23/12.43  ;     0.048   0%   Other
% 12.23/12.43  ;    11.953        Total
% 12.23/12.43  ;    11.963        Real time
% 12.23/12.43  ; 
% 12.23/12.43  ; Term-hash-array has 4,424 terms in all.
% 12.23/12.43  ; Feature-vector-row-index has 344 entries (363 at peak, 519 added, 175 deleted).
% 12.23/12.43  ; Feature-vector-row-index has 1,470 nodes (1,615 at peak, 2,461 added, 991 deleted).
% 12.23/12.43  ;  Retrieved 378 possibly forward subsuming rows in 665 calls.
% 12.23/12.43  ;  Retrieved 141 possibly backward subsumed rows in 519 calls.
% 12.23/12.43  ; Path-index has 2,407 entries (2,407 at peak, 4,491 added, 2,084 deleted).
% 12.23/12.43  ; Path-index has 2,998 nodes (2,998 at peak, 3,775 added, 777 deleted).
% 12.23/12.43  ; Trie-index has 2,407 entries (2,407 at peak, 4,491 added, 2,084 deleted).
% 12.23/12.43  ; Trie-index has 7,599 nodes (7,696 at peak, 14,454 added, 6,855 deleted).
% 12.23/12.43  ; Retrieved 10,024 generalization terms in 37,315 calls.
% 12.23/12.43  ; Retrieved 2,155 instance terms in 2,095 calls.
% 12.23/12.43  ; Retrieved 30,025,520 unifiable terms in 682,716 calls.
% 12.23/12.43  ; 
% 12.23/12.43  ; The agenda of rows to process has 4124 entries:
% 12.23/12.43  ;    49 with value 15            894 with value 21              26 with value 27
% 12.23/12.43  ;    96 with value 16            672 with value 22               2 with value 28
% 12.23/12.43  ;    64 with value 17            589 with value 23               1 with value 29
% 12.23/12.43  ;    26 with value 18            411 with value 24               1 with value 30
% 12.23/12.43  ;   566 with value 19            210 with value 25               1 with value 37
% 12.23/12.43  ;   419 with value 20             91 with value 26               6 with value 42
% 12.23/12.43  ; The agenda of rows to give has 1110 entries:
% 12.23/12.43  ;     1 with value (4 6)         116 with value (4 14)          23 with value (4 22)
% 12.23/12.43  ;    11 with value (4 7)          74 with value (4 15)          50 with value (4 23)
% 12.23/12.43  ;    51 with value (4 8)          69 with value (4 16)          27 with value (4 24)
% 12.23/12.43  ;   124 with value (4 9)          72 with value (4 17)          27 with value (4 25)
% 12.23/12.43  ;    29 with value (4 10)         51 with value (4 18)           5 with value (4 26)
% 12.23/12.43  ;    70 with value (4 11)         50 with value (4 19)           1 with value (4 31)
% 12.23/12.43  ;    75 with value (4 12)         30 with value (4 20)           6 with value (4 35)
% 12.23/12.43  ;    82 with value (4 13)         66 with value (4 21)
% 12.23/12.43  Evaluation took:
% 12.23/12.43    11.964 seconds of real time
% 12.23/12.43    11.822737 seconds of user run time
% 12.23/12.43    0.133049 seconds of system run time
% 12.23/12.43    [Run times include 0.604 seconds GC run time.]
% 12.23/12.43    0 calls to %EVAL
% 12.23/12.43    0 page faults and
% 12.23/12.43    1,493,152,600 bytes consed.
% 12.23/12.43  :PROOF-FOUND
% 12.23/12.43  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T10:49:45
% 12.23/12.43  :PROOF-FOUND
% 12.23/12.43  * 
%------------------------------------------------------------------------------