TSTP Solution File: SWC101+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 21:56:54 EDT 2022

% Result   : Theorem 0.13s 0.48s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   20 (  13 unt;   2 nHn;  20 RR)
%            Number of literals    :   32 (  15 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   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   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | frontsegP(X,Y)
    | ~ ssList(Z)
    | app(Y,Z) != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

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('SKOLEMAAAQ48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAQ49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAQ49' = 'SKOLEMAAAQ51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAQ48' = 'SKOLEMAAAQ50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    ssList('SKOLEMAAAQ52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    app('SKOLEMAAAQ50','SKOLEMAAAQ52') = 'SKOLEMAAAQ51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    app('SKOLEMAAAQ48','SKOLEMAAAQ52') = 'SKOLEMAAAQ49',
    inference('REWRITE',[status(thm)],[195,192,193,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( nil = 'SKOLEMAAAQ51'
    | nil != 'SKOLEMAAAQ50' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    ( nil = 'SKOLEMAAAQ49'
    | nil != 'SKOLEMAAAQ48' ),
    inference('REWRITE',[status(thm)],[201,193,192,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( nil != 'SKOLEMAAAQ49'
    | nil != 'SKOLEMAAAQ48' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(204,negated_conjecture,
    ( ~ neq('SKOLEMAAAQ48',nil)
    | ~ frontsegP('SKOLEMAAAQ49','SKOLEMAAAQ48') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(426,plain,
    ( neq('SKOLEMAAAQ48',nil)
    | nil = 'SKOLEMAAAQ48' ),
    inference('HYPERRESOLVE',[status(thm)],[82,188,84]) ).

cnf(500,plain,
    frontsegP('SKOLEMAAAQ49','SKOLEMAAAQ48'),
    inference('HYPERRESOLVE',[status(thm)],[15,189,188,194,196]) ).

cnf(501,plain,
    ~ neq('SKOLEMAAAQ48',nil),
    inference('REWRITE',[status(thm)],[204,500]) ).

cnf(502,plain,
    nil = 'SKOLEMAAAQ48',
    inference('REWRITE',[status(thm)],[426,501]) ).

cnf(506,plain,
    nil = 'SKOLEMAAAQ49',
    inference('REWRITE',[status(thm)],[202,502,theory(equality)]) ).

cnf(510,plain,
    $false,
    inference('REWRITE',[status(thm)],[203,506,502,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08  % Problem  : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.09  % Command  : run-snark %s %d
% 0.09/0.28  % Computer : n010.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sun Jun 12 12:16:10 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.38  #<PACKAGE "SNARK-USER">
% 0.13/0.38  * 
% 0.13/0.38  SNARK-TPTP-OPTIONS
% 0.13/0.38  * 
% 0.13/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38   (USE-FACTORING :POS)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38  * 
% 0.13/0.38  "."
% 0.13/0.38  * 
% 0.13/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T12:16:10
% 0.13/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-12T12:16:10
% 0.13/0.48  
% 0.13/0.48  
% 0.13/0.48  #||
% 0.13/0.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48  % SZS output start Refutation
% See solution above
% 0.13/0.48  ||#
% 0.13/0.48  
% 0.13/0.48  ; Summary of computation:
% 0.13/0.48  ;       936 formulas have been input or derived (from 144 formulas).
% 0.13/0.48  ;       510 (54%) were retained.  Of these,
% 0.13/0.48  ;          273 (54%) were simplified or subsumed later,
% 0.13/0.48  ;          237 (46%) are still being kept.
% 0.13/0.48  ; 
% 0.13/0.48  ; Run time in seconds excluding printing time:
% 0.13/0.48  ;     0.012  13%   Read assertion file          (1 call)
% 0.13/0.48  ;     0.004   4%   Assert                       (96 calls)
% 0.13/0.48  ;     0.017  18%   Process new row              (842 calls)
% 0.13/0.48  ;     0.025  27%   Resolution                   (286 calls)
% 0.13/0.48  ;     0.003   3%   Paramodulation               (143 calls)
% 0.13/0.48  ;     0.001   1%   Condensing                   (382 calls)
% 0.13/0.48  ;     0.002   2%   Forward subsumption          (382 calls)
% 0.13/0.48  ;     0.001   1%   Backward subsumption         (332 calls)
% 0.13/0.48  ;     0.000   0%   Clause clause subsumption    (127 calls)
% 0.13/0.48  ;     0.007   8%   Forward simplification       (842 calls)
% 0.13/0.48  ;     0.005   5%   Backward simplification      (506 calls)
% 0.13/0.48  ;     0.000   0%   Ordering                     (297 calls)
% 0.13/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.48  ;     0.015  16%   Other
% 0.13/0.48  ;     0.092        Total
% 0.13/0.48  ;     0.094        Real time
% 0.13/0.48  ; 
% 0.13/0.48  ; Term-hash-array has 845 terms in all.
% 0.13/0.48  ; Feature-vector-row-index has 176 entries (330 at peak, 332 added, 156 deleted).
% 0.13/0.48  ; Feature-vector-row-index has 608 nodes (1,001 at peak, 1,019 added, 411 deleted).
% 0.13/0.48  ;  Retrieved 193 possibly forward subsuming rows in 382 calls.
% 0.13/0.48  ;  Retrieved 105 possibly backward subsumed rows in 332 calls.
% 0.13/0.48  ; Path-index has 394 entries (804 at peak, 862 added, 468 deleted).
% 0.13/0.48  ; Path-index has 1,009 nodes (1,400 at peak, 1,421 added, 412 deleted).
% 0.13/0.48  ; Trie-index has 394 entries (804 at peak, 862 added, 468 deleted).
% 0.13/0.48  ; Trie-index has 1,014 nodes (1,597 at peak, 1,676 added, 662 deleted).
% 0.13/0.48  ; Retrieved 294 generalization terms in 1,601 calls.
% 0.13/0.48  ; Retrieved 173 instance terms in 173 calls.
% 0.13/0.48  ; Retrieved 68,697 unifiable terms in 2,780 calls.
% 0.13/0.48  ; 
% 0.13/0.48  ; The agenda of backward simplifiable rows to process has 70 entries:
% 0.13/0.48  ;    70 with value 0
% 0.13/0.48  ; The agenda of rows to process has 1 entry:
% 0.13/0.48  ;     1 with value 18
% 0.13/0.48  ; The agenda of input rows to give has 59 entries:
% 0.13/0.48  ;     4 with value 4               3 with value 24               1 with value 32
% 0.13/0.48  ;     9 with value 20              8 with value 25               1 with value 35
% 0.13/0.48  ;     9 with value 21              3 with value 26               3 with value 40
% 0.13/0.48  ;     5 with value 22              6 with value 27               3 with value 44
% 0.13/0.48  ;     2 with value 23              2 with value 29
% 0.13/0.48  ; The agenda of rows to give has 44 entries:
% 0.13/0.48  ;    19 with value (4 5)           3 with value (4 8)            2 with value (4 13)
% 0.13/0.48  ;    16 with value (4 7)           4 with value (4 10)
% 0.13/0.48  Evaluation took:
% 0.13/0.48    0.094 seconds of real time
% 0.13/0.48    0.083741 seconds of user run time
% 0.13/0.48    0.009956 seconds of system run time
% 0.13/0.48    0 calls to %EVAL
% 0.13/0.48    0 page faults and
% 0.13/0.48    10,988,680 bytes consed.
% 0.13/0.48  :PROOF-FOUND
% 0.13/0.48  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T12:16:10
% 0.13/0.48  :PROOF-FOUND
% 0.13/0.48  * 
%------------------------------------------------------------------------------