TSTP Solution File: SWC124+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC124+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:57:02 EDT 2022

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   22 (  15 unt;   1 nHn;  22 RR)
%            Number of literals    :   37 (  15 equ;  19 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(22,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | segmentP(X,Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | app(app(Z,Y),U) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(82,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

cnf(98,axiom,
    ( ~ ssList(X)
    | app(nil,X) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

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,
    ssList('SKOLEMAAAV52'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    app('SKOLEMAAAV50','SKOLEMAAAV52') = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    app('SKOLEMAAAV48','SKOLEMAAAV52') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[196,192,193,theory(equality)]) ).

cnf(202,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | nil != 'SKOLEMAAAV50' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(203,plain,
    ( nil = 'SKOLEMAAAV49'
    | nil != 'SKOLEMAAAV48' ),
    inference('REWRITE',[status(thm)],[202,193,192,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( ~ neq('SKOLEMAAAV48',nil)
    | ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(250,plain,
    app(nil,'SKOLEMAAAV48') = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[98,188]) ).

cnf(415,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(416,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[203,415]) ).

cnf(434,plain,
    neq('SKOLEMAAAV48',nil),
    inference('UR-RESOLVE',[status(thm)],[82,188,84,416]) ).

cnf(435,plain,
    ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[204,434]) ).

cnf(693,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[22,189,188,435,84,195]),197,250,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n013.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jun 12 11:45:58 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T11:45:59
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-12T11:45:59
% 0.58/0.74  
% 0.58/0.74  
% 0.58/0.74  #||
% 0.58/0.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.74  % SZS output start Refutation
% See solution above
% 0.58/0.74  ||#
% 0.58/0.74  
% 0.58/0.74  ; Summary of computation:
% 0.58/0.74  ;      1209 formulas have been input or derived (from 184 formulas).
% 0.58/0.74  ;       693 (57%) were retained.  Of these,
% 0.58/0.74  ;           59 ( 9%) were simplified or subsumed later,
% 0.58/0.74  ;          634 (91%) are still being kept.
% 0.58/0.74  ; 
% 0.58/0.74  ; Run time in seconds excluding printing time:
% 0.58/0.74  ;     0.027  10%   Read assertion file          (1 call)
% 0.58/0.74  ;     0.009   3%   Assert                       (96 calls)
% 0.58/0.74  ;     0.050  18%   Process new row              (1,135 calls)
% 0.58/0.74  ;     0.119  43%   Resolution                   (366 calls)
% 0.58/0.74  ;     0.001   0%   Paramodulation               (183 calls)
% 0.58/0.74  ;     0.007   3%   Condensing                   (332 calls)
% 0.58/0.74  ;     0.013   5%   Forward subsumption          (332 calls)
% 0.58/0.74  ;     0.001   0%   Backward subsumption         (329 calls)
% 0.58/0.74  ;     0.000   0%   Clause clause subsumption    (76 calls)
% 0.58/0.74  ;     0.014   5%   Forward simplification       (1,135 calls)
% 0.58/0.74  ;     0.004   1%   Backward simplification      (689 calls)
% 0.58/0.74  ;     0.002   1%   Ordering                     (410 calls)
% 0.58/0.74  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.58/0.74  ;     0.000   0%   Purity testing               (1 call)
% 0.58/0.74  ;     0.030  11%   Other
% 0.58/0.74  ;     0.277        Total
% 0.58/0.74  ;     0.279        Real time
% 0.58/0.74  ; 
% 0.58/0.74  ; Term-hash-array has 1,168 terms in all.
% 0.58/0.74  ; Feature-vector-row-index has 313 entries (313 at peak, 329 added, 16 deleted).
% 0.58/0.74  ; Feature-vector-row-index has 1,033 nodes (1,033 at peak, 1,074 added, 41 deleted).
% 0.58/0.74  ;  Retrieved 138 possibly forward subsuming rows in 332 calls.
% 0.58/0.74  ;  Retrieved 97 possibly backward subsumed rows in 329 calls.
% 0.58/0.74  ; Path-index has 1,124 entries (1,124 at peak, 1,204 added, 80 deleted).
% 0.58/0.74  ; Path-index has 1,532 nodes (1,532 at peak, 1,584 added, 52 deleted).
% 0.58/0.74  ; Trie-index has 1,124 entries (1,124 at peak, 1,204 added, 80 deleted).
% 0.58/0.74  ; Trie-index has 2,588 nodes (2,588 at peak, 2,688 added, 100 deleted).
% 0.58/0.74  ; Retrieved 849 generalization terms in 3,357 calls.
% 0.58/0.74  ; Retrieved 368 instance terms in 359 calls.
% 0.58/0.74  ; Retrieved 307,002 unifiable terms in 10,202 calls.
% 0.58/0.74  ; 
% 0.58/0.74  ; The agenda of rows to process has 4 entries:
% 0.58/0.74  ;     3 with value 11              1 with value 24
% 0.58/0.74  ; The agenda of input rows to give has 17 entries:
% 0.58/0.74  ;     1 with value 26              1 with value 32               3 with value 40
% 0.58/0.74  ;     6 with value 27              1 with value 35               3 with value 44
% 0.58/0.74  ;     1 with value 29              1 with value 36
% 0.58/0.74  ; The agenda of rows to give has 435 entries:
% 0.58/0.74  ;    51 with value (4 5)          19 with value (4 10)           1 with value (4 16)
% 0.58/0.74  ;     7 with value (4 6)          45 with value (4 11)           3 with value (4 17)
% 0.58/0.74  ;    24 with value (4 7)           4 with value (4 12)          24 with value (4 18)
% 0.58/0.74  ;    28 with value (4 8)          67 with value (4 13)           3 with value (4 22)
% 0.58/0.74  ;   103 with value (4 9)          56 with value (4 15)
% 0.58/0.74  Evaluation took:
% 0.58/0.74    0.28 seconds of real time
% 0.58/0.74    0.267091 seconds of user run time
% 0.58/0.74    0.012297 seconds of system run time
% 0.58/0.74    [Run times include 0.008 seconds GC run time.]
% 0.58/0.74    0 calls to %EVAL
% 0.58/0.74    0 page faults and
% 0.58/0.74    19,908,968 bytes consed.
% 0.58/0.74  :PROOF-FOUND
% 0.58/0.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T11:45:59
% 0.58/0.74  :PROOF-FOUND
% 0.58/0.74  * 
%------------------------------------------------------------------------------