TSTP Solution File: SWC118+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC118+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 21:57:00 EDT 2022

% Result   : Theorem 0.75s 1.01s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   21 (  14 unt;   2 nHn;  21 RR)
%            Number of literals    :   34 (  15 equ;  14 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    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

cnf(82,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAS48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAS49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAS49' = 'SKOLEMAAAS51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAS48' = 'SKOLEMAAAS50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    ssList('SKOLEMAAAS52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ssList('SKOLEMAAAS53'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    app(app('SKOLEMAAAS52','SKOLEMAAAS50'),'SKOLEMAAAS53') = 'SKOLEMAAAS51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    app(app('SKOLEMAAAS52','SKOLEMAAAS48'),'SKOLEMAAAS53') = 'SKOLEMAAAS49',
    inference('REWRITE',[status(thm)],[196,192,193,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( nil = 'SKOLEMAAAS51'
    | nil != 'SKOLEMAAAS50' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(205,plain,
    ( nil = 'SKOLEMAAAS49'
    | nil != 'SKOLEMAAAS48' ),
    inference('REWRITE',[status(thm)],[204,193,192,theory(equality)]) ).

cnf(206,negated_conjecture,
    ( nil != 'SKOLEMAAAS49'
    | nil != 'SKOLEMAAAS48' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(207,negated_conjecture,
    ( ~ neq('SKOLEMAAAS48',nil)
    | ~ segmentP('SKOLEMAAAS49','SKOLEMAAAS48') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(501,plain,
    ( neq('SKOLEMAAAS48',nil)
    | nil = 'SKOLEMAAAS48' ),
    inference('HYPERRESOLVE',[status(thm)],[82,188,84]) ).

cnf(862,plain,
    segmentP('SKOLEMAAAS49','SKOLEMAAAS48'),
    inference('HYPERRESOLVE',[status(thm)],[22,189,188,194,195,197]) ).

cnf(863,plain,
    ~ neq('SKOLEMAAAS48',nil),
    inference('REWRITE',[status(thm)],[207,862]) ).

cnf(864,plain,
    nil = 'SKOLEMAAAS48',
    inference('REWRITE',[status(thm)],[501,863]) ).

cnf(879,plain,
    nil = 'SKOLEMAAAS49',
    inference('REWRITE',[status(thm)],[205,864,theory(equality)]) ).

cnf(884,plain,
    $false,
    inference('REWRITE',[status(thm)],[206,879,864,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SWC118+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.08  % Command  : run-snark %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Sun Jun 12 22:14:56 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39  * 
% 0.11/0.39  * 
% 0.11/0.39  #<PACKAGE "SNARK-USER">
% 0.11/0.39  * 
% 0.11/0.39  SNARK-TPTP-OPTIONS
% 0.11/0.39  * 
% 0.11/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.39   (USE-FACTORING :POS)
% 0.11/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.39  * 
% 0.11/0.39  "."
% 0.11/0.39  * 
% 0.11/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T22:14:56
% 0.11/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-12T22:14:56
% 0.75/1.01  
% 0.75/1.01  
% 0.75/1.01  #||
% 0.75/1.01  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/1.01  % SZS output start Refutation
% See solution above
% 0.75/1.01  ||#
% 0.75/1.01  
% 0.75/1.01  ; Summary of computation:
% 0.75/1.01  ;      2092 formulas have been input or derived (from 183 formulas).
% 0.75/1.01  ;       884 (42%) were retained.  Of these,
% 0.75/1.01  ;          641 (73%) were simplified or subsumed later,
% 0.75/1.01  ;          243 (27%) are still being kept.
% 0.75/1.01  ; 
% 0.75/1.01  ; Run time in seconds excluding printing time:
% 0.75/1.01  ;     0.028   5%   Read assertion file          (1 call)
% 0.75/1.01  ;     0.007   1%   Assert                       (96 calls)
% 0.75/1.01  ;     0.073  12%   Process new row              (1,769 calls)
% 0.75/1.01  ;     0.368  60%   Resolution                   (364 calls)
% 0.75/1.01  ;     0.004   1%   Paramodulation               (182 calls)
% 0.75/1.01  ;     0.005   1%   Condensing                   (447 calls)
% 0.75/1.01  ;     0.015   2%   Forward subsumption          (447 calls)
% 0.75/1.01  ;     0.008   1%   Backward subsumption         (435 calls)
% 0.75/1.01  ;     0.000   0%   Clause clause subsumption    (104 calls)
% 0.75/1.01  ;     0.032   5%   Forward simplification       (1,769 calls)
% 0.75/1.01  ;     0.037   6%   Backward simplification      (879 calls)
% 0.75/1.01  ;     0.003   0%   Ordering                     (600 calls)
% 0.75/1.01  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.75/1.01  ;     0.001   0%   Purity testing               (1 call)
% 0.75/1.01  ;     0.032   5%   Other
% 0.75/1.01  ;     0.613        Total
% 0.75/1.01  ;     0.617        Real time
% 0.75/1.01  ; 
% 0.75/1.01  ; Term-hash-array has 1,599 terms in all.
% 0.75/1.01  ; Feature-vector-row-index has 176 entries (430 at peak, 435 added, 259 deleted).
% 0.75/1.01  ; Feature-vector-row-index has 609 nodes (1,538 at peak, 1,583 added, 974 deleted).
% 0.75/1.01  ;  Retrieved 183 possibly forward subsuming rows in 447 calls.
% 0.75/1.01  ;  Retrieved 119 possibly backward subsumed rows in 435 calls.
% 0.75/1.01  ; Path-index has 403 entries (1,534 at peak, 1,631 added, 1,228 deleted).
% 0.75/1.01  ; Path-index has 1,038 nodes (1,702 at peak, 1,730 added, 692 deleted).
% 0.75/1.01  ; Trie-index has 403 entries (1,534 at peak, 1,631 added, 1,228 deleted).
% 0.75/1.01  ; Trie-index has 1,035 nodes (3,554 at peak, 3,687 added, 2,652 deleted).
% 0.75/1.01  ; Retrieved 1,548 generalization terms in 5,876 calls.
% 0.75/1.01  ; Retrieved 461 instance terms in 443 calls.
% 0.75/1.01  ; Retrieved 518,862 unifiable terms in 15,285 calls.
% 0.75/1.01  ; 
% 0.75/1.01  ; The agenda of backward simplifiable rows to process has 190 entries:
% 0.75/1.01  ;   190 with value 0
% 0.75/1.01  ; The agenda of rows to process has 2 entries:
% 0.75/1.01  ;     1 with value 21              1 with value 27
% 0.75/1.01  ; The agenda of input rows to give has 21 entries:
% 0.75/1.01  ;     4 with value 4               1 with value 29               1 with value 36
% 0.75/1.01  ;     1 with value 26              1 with value 32               3 with value 40
% 0.75/1.01  ;     6 with value 27              1 with value 35               3 with value 44
% 0.75/1.01  ; The agenda of rows to give has 50 entries:
% 0.75/1.01  ;    20 with value (4 5)           5 with value (4 8)            2 with value (4 13)
% 0.75/1.01  ;    16 with value (4 7)           7 with value (4 10)
% 0.75/1.01  Evaluation took:
% 0.75/1.01    0.617 seconds of real time
% 0.75/1.01    0.587407 seconds of user run time
% 0.75/1.01    0.029198 seconds of system run time
% 0.75/1.01    [Run times include 0.025 seconds GC run time.]
% 0.75/1.01    0 calls to %EVAL
% 0.75/1.01    0 page faults and
% 0.75/1.01    29,519,712 bytes consed.
% 0.75/1.01  :PROOF-FOUND
% 0.75/1.01  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T22:14:57
% 0.75/1.01  :PROOF-FOUND
% 0.75/1.01  * 
%------------------------------------------------------------------------------